Pls pls pls help it has to be turned in today!

Pls Pls Pls Help It Has To Be Turned In Today!

Answers

Answer 1

Using the compound amount formula, the amount after 40 years is 2000(107/100)^40.

In the given question,

Esther got a summer job and decided to set aside $2000 to prepare for retirement without making monthly contribution.

She invests in the US stock market through as index fund that averages a 7% return compounded annually over this 40 year period.

We have to find the total balance in the account after 40 years.

We have to find total balance compounded annually.

The formula of the compound amount is

A = P(1+r/100)^n

where A = Amount

P = Principal Amount

r = interest rate

n = time

From the question we know that

P = $2000, r = 7%, n = 40

Now putting the value in formula

A = 2000(1+7/100)^40

Simplifying

A = 2000(1×100/100+7/100)^40

A = 2000(100/100+7/100)^40

A = 2000((100+7)/100)^40

A = 2000(107/100)^40

You can find the amount after simplifying the amount.

Hence, the amount after 40 years is 2000(107/100)^40.

To learn more about compound amount link is here

brainly.com/question/16588348

#SPJ1


Related Questions

A box contains 3 red marbles and 4 black marbles. You simultaneously draw 3 marbles. What is the probability
that at least one marble is black?
A.4/35
B.34/35
C.19/21
D.None of the above

Answers

Answer:

Probably b or c. Not great with probabilities.

Expand and simplify:
3(2p - 5) + 2(p + 3)

Answers

Answer:

8p - 9

Step-by-step explanation:

→ Expand brackets

6p - 15 + 2p + 6

→ Collect like terms

8p - 9

Using completing the square method to solve x^2-10x+25=0

Answers

The solution of the expression, [tex]x^{2} -10x+25 = 0[/tex], using completing the square method is [tex](x-5)^{2}[/tex].

According to the question,

We have the following expression:

[tex]x^{2} -10x+25 = 0[/tex]

Now, we will use completing the square method to solve this expression.

We will first try to convert the first and last term into perfect squares and rewrite the expression by splitting the middle term in multiplication of 2 and the squares .

[tex]x^{2}[/tex]-2*x*5+[tex]5^{2}[/tex] = 0

Now, we know that this expression fits in the identity:

[tex](a-b)^{2} = a^{2} +b^{2} -2ab[/tex]

In this case, we have a = x and b = 5

[tex](x-5)^{2}[/tex]

Hence, the solution of the expression, [tex]x^{2} -10x+25 = 0[/tex], using completing the square method is [tex](x-5)^{2}[/tex].

To know more about completing the square method here

https://brainly.com/question/26107616

#SPJ1

It is given that AC ≅ AD and ∠CAB ≌ ∠DAB

Part A Write a paragraph proof to prove ABC ≌ ABD. Explain in complete sentences each statement and reason. Be sure to give the reason the two triangles are congruent.

Part B Now that you have proven the two triangles are congruent, can you show that ∠CBA ≌ ∠DBA? Explain your reasoning in a complete sentence.

Answers

Answer:

SAS

Step-by-step explanation:

∠CBA ≌ ∠DBA are equal by SAS

The radius of a circle is 599 cm. What is the diameter of this circle?

Answers

Answer:

1,198 cm

Step-by-step explanation:

To find the diameter, use the formula d = 2r.


d = 2(599)

d = 1,198

Nicole has $40 in a savings account. The account earns 5% simple interest. She wants to determine the amount in her account after 1 year if she makes no deposits or withdrawals.

Answers

Answer:

16

Step-by-step explanation:

40/5 then x the answer by 2 and you get 16 with now deposits or withdraws

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term.

–72, –71, –70, –69, ..

Answers

Answer:

-73 +n

the first term is -73+1

the secound is -73+2

and so on

Answer:

[tex]a_{n}[/tex]= n - 73

Step-by-step explanation:

there is a common difference between consecutive terms , that is

- 71 - (- 72) = - 70 - (- 71) = - 69 - (- 70) = 1

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 72 and d = 1 , then

[tex]a_{n}[/tex] = - 72 + 1(n - 1) = - 72 + n - 1 = n - 73

I need examples of surds

Answers

Correct Answer:
√2, √3, √5, √7, √11, etc.

Why is every rhombus a parallelogram but not every parallelogram is a rhombus? Why is every square a rectangle but not every rectangle is a square? Why is every square a rhombus but not every rhombus
square?

Answers

A rhombus is a parallelogram because the opposite sides are parallel but every parallelogram is not a rhombus because all sides may not be equal. Every square is a rectangle because opposite sides are equal but not every rectangle is a square because all sides might not be equal. Every square is rhombus because all sides are equal but not every rhombus is a square because the angles might not be right angles.

We need to identify the properties of the given figure in order to answer why one figure can not be the other one:

A rhombus has all sides equal as well as parallel but all angles might not be right angles.

A square has all four sides equal and has 4 right angles.

A rectangle has equal opposite sides and 4 right angles.

A parallelogram has opposite parallel sides.

Hence, a rhombus can be a parallelogram because the opposite sides are parallel but every parallelogram can not be a rhombus because all sides may not be equal. Every square is a rectangle because opposite sides are equal but not every rectangle is a square because all sides might not be equal. Every square is rhombus because all sides are equal but not every rhombus is a square because the angles might not be right angles.

To know more about rhombus here

https://brainly.com/question/12665650

#SPJ1

Scores for a common standardized college aptitude test
are normally distributed with a mean of 507 and a
standard deviation of 104. Randomly selected students
are given a Test Preparation Course before taking this
test. Assume, for sake of argument, that the
preparation course has no effect.
If 1 student is randomly selected, find the probability
that their score is at least 555.3.
P(X> 555.3) =

Answers

The probability that their score is at least  P(X> 555.3) = 0.8275

What is a normal distribution?

A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution.

Here, we have

Let x denotes the score of a man.

standard deviation (σ) = 104

mean (μ) = 507

If 1 of the men is randomly selected, find the probability that his score is at least 553.5 will be :-

P(X > 553.5) = 1 - P(X ≤ x)

= 1 - P{((x - μ)/σ) ≤ (553.5 - 507/104)}

= 1 - P(z ≤ 0.447)

= 1 - 0.1725

= 0.8275

Hence, the probability that their score is at least  P(X> 555.3) = 0.8275

To learn more about the normal distribution from the given link

https://brainly.com/question/4079902

#SPJ1

One of the support wires for a radio tower is
100 feet long. One end of the wire is 40 feet from
the base of the tower, as shown in the diagram
below.
Support wire
Note: The figure is not drawn to scale.
What angle (x), in degrees, does the support wire
make with the ground?

Answers

Using the trigonometry ratio, the value of angle x is 66.42°.

In the given question,

One of the support wires for a radio tower is 100 feet long.

One end of the wire is 40 feet from the base of the tower.

We have to find the angle (x), in degrees, that the support wire make with the ground.

To find the angle of x we use trigonometry ratio.

According to the ratio cosine is the ratio between base and hypotenuse.

So the formula is Cos x= B/H

where H = Hypotenuse

B = Base

From the given figure we know that, H=100 feet, B=40 feet

Now putting the value

Cos x= 40/100

Simplifying

Cos x = 2/5

Cos x = 0.4

So x = arccos(0.4)

x = 66.42

Hence, the value of angle x is 66.42°.

To learn more about trigonometry ratio link is here

brainly.com/question/20189708

#SPJ1

please help me out. i’ll give brainliest

Answers

Answer:

y = -2x + 1

Step-by-step explanation:

y = mx + b  you must find the m (slope) and the b (y intercept) to write the equation for the graph.

The slope is negative.  If you start on the very left side of the graph and follow it, you will see that it goes in a down hill direction.  That means that the slope is negative.  If I start on the very left and the line goes up from there, the slope is positive.  If the line is a straight horizontal line, then the slope is zero, it does not go up or down.

The slope is -2.  Select one of the dots and travel to the next dot, but you can only move horizonaly and vertically.  You cannot move diagonally.  You will notice that the two closes dots are two units up (or down) and only 1 unit left (or right) depending on which dot you start at.  Since you move 2 units up and 1 unit left that is a slope of 2.  2/1 = 2.

The b (y-intercept) is just where you see the line cross the y axis.  It crosses it at 1.

Answer:

  y = -2x + 1

Step-by-step explanation:

Slope intercept form:  y= mx + b

Here m is the slope and b is y-intercept.

Pick any two points on the line.

(-1,3) & (2,-3).

Find the Slope.

     [tex]\sf \boxed{Slope =\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

                 [tex]\sf = \dfrac{-3-3}{2-[-1]}\\\\=\dfrac{-6}{2+1}\\\\=\dfrac{-6}{3}\\\\=-2[/tex]

m = -2.

Equation of the line:

     y = -2x + b

Substitute any one point in the above equation and find the y-intercept. (-1,3)

     3 = -2*(-1) + b

     3 = 2 + b

3 - 2  = b

      b = 1

Equation of the line:

        y = -2x + 1

I need some help with this question about graphed functions

Answers

The equation of the function graphed for 0 ≤ x ≤ 360 is

y = -1 + cos 2x

What is transformation?

Transformation is a term used in mathematics to refer to the movements made by objects.

Transformation that took place in the graph is of two types namely

translationvertical stretch

The translation involves moving the graph downward by 1 unit. This movement shifts the graph from running across the x axis to making x axis the crest

The vertical stretch is by a factor of 2. A complete cycle would have been rom 0 to 180. however two cycles are now covered within this period.

The graph is of showing cos x (blue) and y = -1 + cos 2x (red) is attached

Learn more about transformation here:

https://brainly.com/question/29399552

#SPJ1

14 workers can dig 9 m long trench in one day. How many workers would dig 27 m long trench of the same type in 1 day?

Answers

Answer:

42 workers

Step-by-step explanation:

27 divided by 9 = 3 (how much we need to multiply workers by)

14x3=42

20 POINTS PLEASE HELP!!!
Solve the following system of equations. Show your work.

y=x−5

y=5x−17

Solution:

Answers

The solution to the system of equations y = x − 5 and y = 5x − 17 is x = 3 and y = -2

How to determine the solution to the system of equations?

The system of equations is given as

y = x − 5

y = 5x − 17

Substitute y = x − 5 in the equation y = 5x − 17

So, we have

x - 5 = 5x − 17

Evaluate the like terms

4x = 12

Divide both sides by 4

x = 3

Substitute x = 3 in y = x − 5

y = 3 − 5

So, we have

y = -2

Hence, the solution is x = 3 and y = -2

Read more about system of equations at

https://brainly.com/question/13729904

#SPJ1

What are some vocabulary words for slopes and equations in math?

Answers

Answer:

Vocabulary: slope and variable m rise over run slope formula y-intercept/variable b parallel lines and parallel equation perpendicular lines and perpendicular equatio Introduce or review key terms related to slope and angle: slope, grade, pitch, cardinal direction, slope angle, angle of depression/declination, and angle of elevation/inclination.

Solve the equation given a domain of {-3}.
3x - 2y = 5

Answers

The solution to the equations is y = -7

How to solve the equations using the domain of the replacement sets?

From the question, we have the equation to be given as

3x - 2y = 5

The above equation is a linear equation

The domain or the replacement set is given as

{-3}

Rewrite properly as

Domain  = {-3}

or

x = -3

So, we replace the variables using the elements in the replacement set

When x = -3, we have

3 x -3 - 2y = 5

Evaluate the products

This gives

-9 - 2y = 5

Add 9 to both sides

-2y = 14

Divide both sides by -2

y = -7

So, we have

x = -3 and y = -7

Hence, the solution to the equation is y = -7

Read more about equations at:

brainly.com/question/2972832

#SPJ1

Kwai bought `15` potage tamp for `\$8. 25`. All tamp cot the ame amount. How many tamp can Kwai purchae with $12

Answers

Lamp that can be bought with $12 is 21

What is an example of a unitary method?

A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.

How is the unitary method divided?

This can be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees. In order to determine the value of one unit, we essentially divide the total value of a set of items by the number of units. The unitary approach is this.

Given that

Kwai bought 15 lamp for $8.25

$8.25 = 15 lamp

$1 = 15/8.25

$12 = (15/8.25)*12 = 21 approx.

Study up on the unitary technique.

brainly.com/question/24587372

#SPJ4

The sum of two consecutive integers is less than -9. What is the smallest value that will make this true? Write and solve an inequality. Show your work using 3 or 4 steps.Use s as your variable. Round your initial answer to the nearest hundredth.

Answers

The value of the inequality when the sum of two consecutive integers is less than -9 is x < - 5.

How to calculate the value?

It is vital to note that an inequality simply shows that the expressions aren't equal.

In this case, the sum of two consecutive integers is less than -9.

Let the integers be x and x + 1.

Therefore, x + x + 1 < -9

2x + 1 < -9

Collect like terms

2x < -9 - 1

2x < -10

Divide

x < - 10 / 2

x < - 5

The value is x < - 5.

Learn more about Inequalities on:

brainly.com/question/25275758

#SPJ1

Kylie just accepted a job at a new company where she will make an annual salary of $67000. Kylie was told that for each year she stays with the company, she will be given a salary raise of $3000. How much would Kylie make as a salary after 3 years working for the company? What would be her salary after t years?

Answers

The amount that Kylie make as a salary after 3 years working for the company is $76000.

Her salary after t years will be 67000 + 3000t.

How to calculate the value?

In this situation, Kylie was told that for each year she stays with the company, she will be given a salary raise of $3000 every years.

Her salary after three years will be:

= $67000 + ($3000 × 3)

= $67000 + $9000

= $76000

Her salary after t years will be:

= 67000 + (3000 × t)

= 67000 + 3000t

Learn more about salary on:

brainly.com/question/25273589

#SPJ1

consider performing a partial f test to test for the inclusion of pctrush in the model. either in words or formula, what are the null and alternative hypotheses for this test?

Answers

The null and alternative hypothesis of the pctrush are explained below.

Given that;

By performing a partial F-test;

In hypothesis testing, the F test is a statistical test that is used to determine whether or not the variances of two populations or two samples are equal. The data in a f test follows a f distribution. In this test, two variances are divided and compared using the f statistic. Depending on the problem's characteristics, a f test can be either one- or two-tailed.

The one-way ANOVA (analysis of variance) test is run using the f value discovered after running the f test. More information on a f test, the f statistic, its critical value, formula, and how to perform a f test for hypothesis testing will be provided in this article.

The f test statistic is used in a test called the f test to determine if the variances of two samples (or populations) are equal. An f test needs a f distribution in the population and independent events for the samples in order to be valid. The null hypothesis can be rejected after conducting the hypothesis test if the f test results are statistically significant; otherwise, it cannot be rejected.

Null hypothesis:

The idea that there is no influence on the population is known as the null hypothesis.

We can reject the null hypothesis if the sample contains sufficient data to refute the assertion that there is no effect in the population (p). If not, we are unable to rule out the null hypothesis.

Although it may sound odd, statisticians only accept the phrase "fail to reject." Avoid using words like "prove" or "accept" when referring to the null hypothesis.

Alternative hypothesis:

The alternate response to your research question is the alternative hypothesis (Ha). It asserts that the populace is affected.

Your research hypothesis and your alternate hypothesis are frequently identical. It is, in other words, the assertion that you anticipate, or hope will be accurate.

The complement of the null hypothesis is the alternative hypothesis. The exhaustive nature of null and alternative hypotheses ensures that they account for all potential outcomes. Additionally, they are mutually exclusive, so only one of them can be true at once.

Learn more about hypothesis:

brainly.com/question/28920252

#SPJ4

at a bowling alley, the cost of shoe rental is $2.25 and the cost per game is $4.25. if f (n) represents the total cost of shoe rental and n games, what is the recursive equation for f (n)?

Answers

Answer:

The question is not complete so I am unsure what to solve for f(n)=$2.25x+4.25 or f(n)= $2.25x+4.25y

Step-by-step explanation:

Shoe rental $2.25

Per game $4.25

Depending on how many people are going to rent (x) and assuming they are only playing one game your equation would be

f(n)=$2.25x+4.25

However if the question does not state how many games are being played i would say

f(n)= $2.25x+4.25y

researchers want to decrease the margin of error by adjusting the confidence level. which confidence interval will have the smallest margin of error (moe)?

Answers

One-sided confidence interval which have the smallest margin of error.

Given that;

Researchers want to decrease the margin of error by adjusting the confidence level.

You cannot be completely certain of the true value of a parameter, such as the mean, if your confidence interval is too broad. However, there are a number of methods you may do to narrow a confidence interval and improve the accuracy of your estimate. The following characteristics have an impact on the confidence interval's width.

one-sided confidence interval:

The margin of error is lower for a one-sided confidence interval than a two-sided confidence interval. A one-sided interval, however, merely shows whether a parameter is larger or less than a cut-off number. A one-sided interval does not reveal anything regarding the parameter's value when viewed from the other direction. Therefore, only use a one-sided confidence interval to boost an estimate's precision when you are concerned that it will either be higher or lower than a cut-off value, but not both.

Hence, we use one-sided confidence interval which have the smallest margin of error.

To learn more about margin of error click here:

brainly.com/question/10501147

#SPJ4

If f is continuous everywhere, f'(3) = 0 and f" (3) = 4, then there must be a local minimum at z = 3.​

Answers

Answer:

True

Step-by-step explanation:

f'(3) = 0 says the tangent line at x = 3 is horizontal.

f"(3) = 0 means the graph of  f  is concave up at x = 3.

Together, these tell you the graph has a local minimum at x = 3.  The graph is  U-shaped at the point where x = 3.

Simplify the power.
(-3x²y)^4

Answers

Using exponents, the resultant expression after simplification is 81x⁸y⁴.

What are exponents?The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.For instance, the number 6 is multiplied by itself four times, yielding 6 × 6 × 6 × 6. You can write this as 6⁴. In this case, the exponent is 4 and the base is 6.

So, the expression is:

(-3x²y)⁴

Now, simplify the power as follows:

(-3x²y)⁴(-3x²y)⁴ = (3x²y)⁴     (Exponent rule)3⁴(x²)⁴y⁴                  (Exponent rule)81((x²)⁴y⁴                 (3⁴ = 81)81x⁸y⁴

Therefore, using exponents, the resultant expression after simplification is 81x⁸y⁴.

Know more about exponents here:

https://brainly.com/question/11975096

#SPJ13

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The distance that Evan has left to hike is 13/30 mile.

How to calculate the distance left?

From the information, Eva is hiking a real that has a length of 5/6 miles.

He has also hiked 2/5 miles. Therefore, in this situation, the distance that he has left will gotten by subtracting the fractions.

This will be:.

Distance left = Total distance - Distance hiked

Distance left = 5/6 - 2/5

= 25/30 - 12/30

= 13/30

The distance is 13/30 miles.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

The variable p represents number of presents. If it takes 10 feet of ribbon to make 1 bow on a present and 3 feet is used to practice trying the bow, the expression 10p + 3 can be used. If there are 7 presents, how much ribbon is needed? Ribbon is sold in 15 feet packages. How many do you need to buy?

Answers

The number of ribbons needed is 73

The number of ribbons to buy is 109. 5

What is a function?

A function can be described as an expression or rule that explains the relationship between two main variables in an equation.

These variables are called;

Independent variableDependent variable

We have the expression;

N = 10p + 3

Where 'p' represents the number of presents

N is the number of ribbons

Now, let's substitute the value of p as 7

N = 10(7) + 3

N = 70 + 3

N = 73 ribbons

If 10 feet = 73 packages

15 feet = x

cross multiply

x = 73(15)/10

x = 109. 5 ribbons

Hence, the value is 73

Learn more about functions here:

https://brainly.com/question/25638609

#SPJ1

Can someone answer this?

Answers

The values indicated trigonometric functions are cot(β) = 0.14, cos(β) = 0.14, tan(90-β) =  0.14 and csc(β) = 1.01

How to find the trigonometric functions?

Trigonometric functions are the periodic functions that denote the relationship between angle and sides of a right-angled triangle e.g sine, cosine, tangent, etc.

Given: tan(β) = 7

Thus, β = arc tan 7 = 81.87

(a) cot(β) = 1/tan(β) = 1/7 = 0.14

(b) cos(β) = cos 81.87 = 0.14

(c)  tan(90-β) =  tan(90-81.87) = tan 8.13 = 0.14

(d) csc(β) = 1/sinβ = 1/sin(81.87) = 1.01

Therefore, the value of the trigonometric functions are cot(β) = 0.14, cos(β) = 0.14, tan(90-β) =  0.14 and csc(β) = 1.01

Learn more about  trigonometric functions on:

https://brainly.com/question/25618616

#SPJ1

5(4 − 9 · 2) − 2( 3 · 2 + 4) + 7?

Answers

Answer: i think its -18

Step-by-step explanation:

5*(4-9*2)-2*(3*2+4)+7

= 5*(4-18)-2*(3*2+4)+7

= 5*(-14)-2*(3*2+4)+7

= 5*-14-2*(3*2+4)+7

= 5*-14-2*(6+4)+7

= 5*-14-2*(10)+7

= 5*-14-2*10+7

= -70-2*10+7

= -70-20+7

= -90+7

= -83

the little twelve basketball conference has two divisions, with six teams in each division. each team plays each of the other teams in its division twice and every team in the other division once. how many conference games are scheduled?

Answers

There are 96 basketball conference games are scheduled.

What is termed as the division?Multiplication is the reciprocal of division. If 3 groups of 4 add up to 12, then 12 classified into three groups of equal size results in 4 in each group. Developing equal groups or defining how many people are within each group after a fair distribution is the basic function of division.

For the given question;

Every squad competes in ten games within its own division and six games against opponents from the opposing division. The 12 teams thus play a total of 16 conference games.

There are N games on the schedule because there are two teams in each game.

N = 12×16/2

N = 96

Thus, there are 96  basketball conference games are scheduled.

To know more about the division, here

https://brainly.com/question/917110

#SPJ4

Other Questions
two unknown mineral samples, a and b, are rubbed against each other. mineral a scratches mineral b. what can you infer about the minerals? DURING READING QUESTIONSParagraphs 1-6A. Think & Share: How have the rising sea levelsaffected the Hooper's Island area? if a falling ball made a perfectly elastic collision with the floor, would it rebound to its original height? explain. Select the correct answer.What is the domain of function f? find the 73rd term of the following arithmetic sequence 18,22,26,30 The kitchen is a square and has an area of 169 square feet.whatis the length of one side of Titos kitchen? A Car Starts from rest and accelerate at the rate of5m/s' for 8 See It then travels at this speed for another lassefer which it was brought to rest in 4sec:The maximum velocity attained by the carthe time taken to cover the first 18secondsCalculate the average speed of the Car a(n) character is a symbol that can be used as a general substitute for other characters or commands. Find the acceleration of a 10 kg bucket of water that is lifted with a force of 200 Newtons. the set of ideas about the categories of gender, and the beliefs, behaviors, and meanings associated with each gender, is referred to as a when a body is dehydrated, water in the urinary bladder can be returned to the circulation directly. can be returned to the circulation after moving back into the kidneys. will still be expelled from the body in the urine y=2/3x-18 rate of change The manager of a 150-unit apartment complex knows from experience that all units will be occupied if the rent is $1000 per month. A market survey suggests that, on average, one additional unit will remain vacant for each $20 increase in rent. What rent should the manager charge to maximize revenue?. Select all correct answers. which values are part of the solution set based on the result of the inequality? -4x + 24 < -2x + 2 9.5 -10 11.5 15 10 -3 if people are to exercise aerobically, first they must know that aerobic exercise exists, and second they need to know how to do it properly. this is an example of What do you think about self-grading and peer-grading for online classes Cul ser el monto que se pagar por un prstamo de $200,000 a una tasa de inters del 36% si se negocia pagarlo en 2 aos? C = $200,00 which environmental marketing strategy is especially beneficial for a company to use when it is difficult for another company to imitate the environmental impact of a product? A paragraph of what is comformity. you read about an unsolved murder in the newspaper. given what you have learned in social psychology about aggressiveness, you can reasonably predict a(n) committed the murder