Principal: $1500.
Annual interest rate: 72%.
What is the interest after
6 months?

Answers

Answer 1
I’m assuming you mean 7.2% for the annual interest rate and not 72%. If the annual interest rate is 7.2% then the interest after 6 months is $54.

To solve this problem, you us the equation A=P(1+rt)

A stands for the amount of money accumulated after t years
P stands for principal
r stands for annual interest rate
t stands for time (in years)

Next you need to plug it into your formula which should look like this...
A=1500(1+(0.072*0.5))

When you plug in your annual interest rate, you have to move your decimal place 2 places to the left. That is why 7.2% is 0.072 in the formula above.

The reason that I plugged in 0.5 for the time instead of 6 months is because the time in this formula is calculated in years. For example, if the question told you the time was 12 months, 12 months is one year, so you would plug in a 1 for t. Since your question asked for 6 months, 6 months is equal to half a year or 0.5 of a year. That is why t is 0.5 in the formula.

Now that you have your problem, the next step is to solve. I will show you what that looks like down below.

A=1500(1+(0.072*0.5))
A=1500(1+(0.036))
A=1500(1.036)
A=1554

From this problem, we just solved for how much money is in this account after 6 months which is $1554. But we’re not done yet, we are looking for how much interest was earned after 6 months.

To find this, all you have to do is subtract the amount earned after 6 months ($1554) by the principal amount ($1500) using this formula (the I stands for Interest).

A-P=I
1554-1500= 54

The interest earned after 6 months is $54.
(If the annual interest rate is 72% and not 7.2%, you can still use the formulas and my lesson to solve it yourself)

Related Questions

I need help please !! Please be correct, and if you can please explain.

Answers

Answer:

a and c are undefined.

b and d are zero.

Step-by-step explanation:

Vertical lines are undefined because of division by 0  (a and c).

The run is zero.

Horizontal lines have a slope of 0 (b and d).

The rise is zero.


1. Give two other names for AB
2. Name three points that are collinear.
3. Give another name for plane F.
4. Name a point that is not coplanar with A, B, and C.
5. Give another name for CD
6. Name three rays with endpoint B.
7. Name a pair of opposite rays.
8. Give another name for CD.

Answers

Answer:

1) The line AB can be renamed as BA   and  h

2 ) Points B, D and C are on the same line.

3)  ABE is the another name given to the plane F.

4) E is another point which is not coplanar with ABC.

5) Another name for CD is g or DC

6) AB CB DB are rays with end points B

7) BC and BD are opposite rays .

8) CB or g is another name for CD

Step-by-step explanation:

1) The line AB can be renamed as BA   and h

2 ) Collinear points are those points which lie on the same line. So points B, D and C are on the same line.

3) Points ABE define the plane F so ABE is the another name given to the plane F.

4) E is another point which is not coplanar with ABC. ( Coplanar points are those points which are situated on the same plane)So from the picture we see that point E lies far away from the plane of ABC.

5) Another name for CD is g or DC

6) AB CB DB are rays with end points B

7) BC and BD are opposite rays . ( A ray is a line which extends indefinitely . In simple words it has no end point. It may pass through certain points. It is represented by an arrow at one end.)

8) CB or g is another name for CD

Footwear manufacturing is projected to decrease output by 5% from 2009 to 2019. If footwear manufacturing had 1.5 million dollars of output in 2009, approximately how much output is expected in 2019?

Answers

Answer:

Output 2019 = 1.425 million dollar

Step-by-step explanation:

Given:

Output 2009 = 1.5 million dollar

Projected decrease output = 5%

Find:

Output 2019

Computation:

Output 2019 = Output 2009[100% - Projected decrease output]

Output 2019 = 1.5 [100% - 5%]

Output 2019 = 1.425 million dollar

Write an absolute value inequality that represents the situation.

The length of a standard basketball court can vary from 84 feet to 94 feet, inclusive.





Answers

Answer:

|x - 89| ≤ 5  

Step-by-step explanation:

Here the range is 84 to 94 ft, with the midpoint being 89 and the greatest variation from the midpoint being ±5.  

We adapt |x| ≤ a as follows:  replace x with 'x - 89' and a with 5:

|x - 89| ≤ 5  

It is customary to regard '89' as the 'center' of the solution interval and 5 as the 'maximum difference' or 'radius' separating x from this center.

Solve the equation 55=7-6y

Answers

Answer:

55-7=48

48÷-6=-8

y=-8

......

Answer:

-8 = y

Step-by-step explanation:

55=7-6y

Subtract 7 from each side

55-7=7-6y-7

48 = -6y

Divide each side by -6

48/-6 = -6y/-6

-8 = y

The travelers are adding a new room to their house. the room will be a cube with volume 3375 ft.³.they are going to put in hardwood floors, the contractor charges $10 per square foot. how much will the hardwood floors cost?

Answers

Answer:

$ 2250

Step-by-step explanation:

3375 = s³

s = ∛3375

s = 15 ft.

floor area = s² = (15 * 15)

floor area = 225 ft²

the contractor charges $10 per ft².

therefore,  

the hardwood cost = 225  x  $10 = $2250

Answer:

$2,250.

Step-by-step explanation:

So first, we need to find the area of the floor (the side shaded green). To do so, we first need to find the length of the one side of the room.

Since we know that the room is a cube, all side lengths are equivalent. And since we are given that the volume of the room is 3375, we can find the length of the side.

The volume of a cube is given by the formula:

[tex]V=s^3[/tex]

Substitute 3375 for V:

[tex]s^3=3375[/tex]

Take the cube root of both sides:

[tex]s=\sqrt[3]{3375}=15[/tex]

So, the side length of the room is 15.

This means that the area of the floor is:

[tex]A=(15)^2\\A=225\text{ in}^2[/tex]

They charge $10 per square foot. There are 225 square feet. Thus, the total cost will be:

[tex]10(225)=$2250[/tex]

$2,250.

Solve the following System of Equations using Substitution:
x+3y=1
−3x−3y=−15

Answers

Answer:

x=7, y=-2 (negative 2)

Step-by-step explanation:

Simplify What is x to the power of 3 times x to the power of 7?

Answers

Answer:

Here is your answer-

x³×x⁷

you just need to add the powers here.

x¹⁰

What is the value of g if 5(2-g)=0 ? *
Your answer

Answers

Answer:

g = 2

Step-by-step explanation:

5(2-g) = 0

10 - 5g = 0

-5g = -10

g = -10/-5

  = 2

Type a simplified fraction as an answer. PLEASE ANSWER ASAP!!!!

Answers

Answer: 5/6

Step-by-step explanation:

what is the volume of a cone with a height of 27 cm and a radius of 13cm

Answers

Answer:

V≈4778.36cm³

Step-by-step explanation:

Answer:

1/3πr^2h.

1/3×3.142×13^2×27.

1/3×14336.946

4778.982cm^3

The sizes of houses in Kenton County are normally distributed with a mean of 1346
square feet with a standard deviation of 191 square feet. For a randomly selected
house in Kenton County, what is the probability the house size is:
a. over 1371 square feet?
O Z=
o probability =
b. under 1296 square feet?
O Z=
o probability =
c. between 773 and 1637 square feet?
o zl =
o Z2 =
o probability =
Note: Z-scores should be rounded to 2 decimal places & probabilities should be
rounded to 4 decimal places.
License
Points possible: 8
This is attempt 1 of 3.

Answers

Answer:

(a) The probability that the house size is over 1371 square feet is 0.4483.

(b) The probability that the house size is under 1296 square feet is 0.3974.

(c) The probability that the house size is between 773 and 1637 square feet is 0.9344.

Step-by-step explanation:

We are given that the sizes of houses in Kenton County are normally distributed with a mean of 1346  square feet with a standard deviation of 191 square feet.

Let X = the sizes of houses in Kenton County

The z-score probability distribution for the normal distribution is given by;

                               Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = mean size of houses = 1346 square feet

            [tex]\sigma[/tex] = standard deviation = 191 square feet

(a) The probability that the house size is over 1371 square feet is given by = P(X > 1371 square feet)

        P(X > 1371) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{1371-1346}{191}[/tex] ) = P(Z > 0.13) = 1 - P(Z [tex]\leq[/tex] 0.13)

                                                             = 1 - 0.5517 = 0.4483

The above probability is calculated by looking at the value of x = 0.13 in the z table which has an area of 0.5517.

(b) The probability that the house size is under 1296 square feet is given by = P(X < 1296 square feet)

        P(X < 1296) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{1296-1346}{191}[/tex] ) = P(Z < -0.26) = 1 - P(Z [tex]\leq[/tex] 0.26)

                                                             = 1 - 0.6026 = 0.3974

The above probability is calculated by looking at the value of x = 0.26 in the z table which has an area of 0.6026.

(c) The probability that the house size is between 773 and 1637 square feet is given by = P(773 square feet < X < 1637 square feet)

       P(773 < X < 1637) = P(X < 1637) - P(X [tex]\leq[/tex] 773)

 

      P(X < 1637) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{1637-1346}{191}[/tex] ) = P(Z < 1.52) = 0.9357

       P(X [tex]\leq[/tex] 773) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{773-1346}{191}[/tex] ) = P(Z [tex]\leq[/tex] -3) = 1 - P(Z [tex]\leq[/tex] 3)

                                                             = 1 - 0.9987 = 0.0013

The above probabilities are calculated by looking at the value of x = 1.52 and x = 3 in the z table which has an area of 0.9357 and 0.9987 respectively.

Therefore, P(773 square feet < X < 1637 square feet)  = 0.9357 - 0.0013 = 0.9344.  

Solve the division problem 15/4/-5/8

Answers

Answer: [tex]-6[/tex]

Do Keep Change Flip (KCF)

Keep: [tex]15/4[/tex]

Change: ÷ into ×

Flip: [tex]-5/8[/tex] into [tex]8/-5[/tex]

Multiply

[tex]15/4*8/-5=120/-20[/tex]

Divide

[tex]120/-20=-6[/tex]

Answer: -6

Step-by-step explanation: Factor your numerator and your denominator, then cancel you common factors.

I hope this helps you out! ♥

quantas braças tem 2 tarefas e meia de terra​

Answers

Answer:

Fathom in reference to what does this line interpret?

Please help me anyone

Answers

Answer:

[tex]4p\geq 12[/tex]

Step-by-step explanation:

So, when there were 4 innings left, the score was 17 to 6 and Kim was losing.

Since the score was 17 to 6, in order for her to win, they must've scored at least another 12 points.

This is because we are told that the other team didn't score, so their final score is 17.

And for Kim to win, they must have more points, so their must've scored at least 12 points for their score to be 18.

And we also know that they scored the same per inning for the next four innings.

Thus, in an inequality, this is:

[tex]4p\geq 12[/tex]

The score per inning times 4 innings must be greater than or equal to 12:

Further notes:

To solve, divide both sides by 4:

[tex]p\geq 3[/tex]

In other words, Kim's team must've scored at least 3 points per inning.

Also note that this solution include only integers, since you can't score 3.5 points.

Mrs.torres class has 28 students. The class includes 12 boys. What is the ratio of girls to boys?

Answers

Answer:

16:12

Step-by-step explanation:

if there is 12 boys, that leaves the other 16 to be girls

Answer:

4:3

Step-by-step explanation:

If there are 12 boys then 28-12=16

So there are 16 girls

The girls to boys ratio is 16:12 and you simplify

Now it's 4:3

Which expression is equivalent to the one below?

Answers

Answer:

D. [tex]5\cdot\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]5\div 2 =\frac{5}{2} \\\\5\times\frac{1}{2}\\\\=\frac{5}{1}\times\frac{1}{2}\\\\=\frac{5}{2} \\[/tex]

Solve for z
5 = z/-4 -3.

Answers

Answer:

The answer is z=-35.

5=z/-4-3.=-35.

And if the question is the other way around that the -3 is for the whole question and not with the -4 like if they are not together then the answer is -32.

What is 7/8- 5/8?
Answer

Answers

Answer:

1/4

Step-by-step explanation:

Since the denominatior is the same, we can look at only the numerator. So 7/8 - 5/8 is basically 7 - 5 which is 2.

The denominator doesn't change so it's 2/8. We can further simplify this into 1/4.

It will be 1/4! Because you need to reduce it

i need help on this question ASAP tysm

Answers

I am stuck on one do those as well, try Socratic

Composition of functions Find g (f(x)) for the following problems

Answers

1.

[tex]f(x)=-3x\qquad g(x)=5x-6\\\\g(f(x))=5(-3x)-6=\boxed{-15x-6}[/tex]

2.

[tex]f(x)=x-6\qquad g(x)=x^2+6x-2\\\\g(f(x))=(x-6)^2+6(x-6)-2=x^2-12x+36+6x-36-2=\\\\=\boxed{x^2-6x-2}[/tex]

3.

[tex]f(x)=4x+3\qquad g(x)=2x^2-x+1\\\\g(f(x))=2(4x+3)^2-(4x+3)+1=2(16x^2+24x+9)-4x-3+1=\\\\=32x^2+48x+18-4x-3+1=\boxed{32x^2+44x+16}[/tex]

4.

[tex]f(x)=2x^2\qquad g(x)=8x^2+3x\\\\g(f(x))=8(2x^2)^2+3(2x^2)=8\cdot4x^4+6x^2=\boxed{32x^4+6x^2}[/tex]

Factor: a² + 9a+20
A
(a-4)(-5)
B (a+2)(a +10)
C (-2)(a-10)
D (a+4)(a +5)

Answers

Answer: is D

Answer is D

Using the simple method of quadratic expression:

we find two  numbers(the first and last word) that when we multiply is the same as when we add them together.

a²+9a+20

a²+4a+5a+20

The answer is D

a(a+4)+5(a+4)

(a+4)(a+5)

Suppose C = 30y + 15 and y = 40x + 25.

Which of the following is equivalent to C = 30y + 15, but written only in terms of x?

Answers

Answer:

d.)

C = 1200x + 765

Step-by-step explanation:

The substitution property of equality allows you to substitute an expression for a variable. Since y equals 40x + 25, you can substitute (40x + 25) for y in the C = 30y + 15 equation:

C = 30y+ 15

y = 40x + 25

C = 30y + 15

C = 30(40x + 25) + 15

C = 1200x + 750 + 15

C = 1200x + 765

The equivalent expression for C = 1200x+765.

C = 30y+15; y = 40x+25 Equivalent relation between C and x to determine.

What are equations?

Equations are defined as the mathematical expression intended meaning to something that contains an equal sign.

Here, C=30y+15
        y = 40x+25
Putting y in C = 30y+15
          C= 30(40x+25)+15
          C = 1200x + 750 +15
          C = 1200x +765

Thus, the equivalent expression for C = 1200x+765.  

learn more about the equation here:
https://brainly.com/question/10413253
#SPJ2

If the principal is $350 and the interest rate is 3 percent, what is the simple interest earned in one year?
simple interest = Pxrxt

Answers

Answer:

The simple interest was found to be $9.6 after 1 year at 3%

Step-by-step explanation:

Given that

principal p= $350

rate r= 3%= 3/100= 0.03

time t= 1 year

The expression for the simple interest is given as

SI= p*r*t

SI= 320*0.03*1

SI= $9.6

After 1 year at 3% the simple interest is $9.6

Simply put the extra money earned after an investment is called the simple interest

A cylinder has a volume of 320 cubic inches and a height of 5 inches.
What is the radius of the cylinder?
O A. 4 inches
B. 8 inches
C. 16 inches
D. 32 inches

Answers

Answer:

The radius is 8 inches

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

Assuming you mean 320 pi for the volume

320  pi = pi r^2 ( 5)

320 =5pi r^2

Divide each side by 5pi

320 pi / 5pi = 5 pi r^2 / 5pi

64 = r^2

Take the square root of each side

sqrt(64) = sqrt(r^2)

8 = r

The radius is 8 inches

Answer:

[tex]\Huge \boxed{\mathrm{4.51 \ inches}}[/tex]

[tex]\rule[225]{225}{3}[/tex]

Step-by-step explanation:

[tex]V=\pi r^2 h[/tex]

The volume is 320 in³.

The height is 5 in.

[tex]320=\pi r^2 * (5)[/tex]

Solving for [tex]r[/tex].

Dividing both sides by 5.

[tex]64=\pi r^2[/tex]

Dividing both sides by [tex]\pi[/tex].

[tex]20.371833=r^2[/tex]

Taking the square root of both sides.

[tex]r= 4.513517[/tex]

The radius is 4.51 inches.

[tex]\rule[225]{225}{3}[/tex]

Which expression is equivalent to (3−2^2)+5?

Answers

4 is equivalent to the given expression.

It is required to find the equivalent to the given expression.

What is expression?

An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.

Given:

The given expression is

(3−2^2)+5

=(3-4)+5

=(-1)+5

=4

Therefore, 4 is equivalent to the given expression.

Learn more about expression here:

brainly.com/question/17290032

#SPJ2

a 50 litre ice cream bucket is to be emptied in 750 ml ice cream term find the number of tubs
required​

Answers

Answer:

Quantity of ice cream  = 50 litre

Quantity of ice cream contained in one ice cream tub = 750 ml

1 litre = 1000 mL

Quantity of one ice cream tub in litres = 0.75 litres

we need to calculate the number of ice cream tubs filled by using 50 litres of ice cream

Number of ice cream tubs filled = 66 tubs 500 ml

hope it helps :)

please mark it the brainliest!

Tom earns $12.50 per hour at the Yankee Bowling Alley. He regularly works 40 hours per week. He is paid time and a half for each hour of overtime work. Last week he worked 42 hours. What is his pay for the week?

Answers

Answer:

Tom's pay for the week should be over 500 dollars. Sorry if this isn't very helpful. :(

Step-by-step explanation:

Round 34.037 to 3 significant figures.
a. 34.04
b. 34
c. 34.037
d. 34.0​

Answers

Answer:

My answer to the question is 34.0

In how many different, distinguishable orders can the letters of the word "TENNESSEE" be arranged? (A)24 (B)362,880 (C)3,780

Answers

Answer:

Choice C. [tex]3,\! 780[/tex].

Step-by-step explanation:

The word "[tex]\verb!TENNESSEE![/tex]" contains nine letters:

Four [tex]\verb!E![/tex]'s, Two [tex]\verb!N![/tex]'s, Two [tex]\verb!S![/tex]'s, andOne [tex]\verb!T![/tex].

If all these nine letters are unique, the number of possible arrangements would be:

[tex]P(9, 9) = 9! = 362,\! 880[/tex].

However, because some of these letters were not unique, a large number of that [tex]362,\!880[/tex] arrangements would be duplicates. What would be the exact number of duplicates? Start by considering giving each of the duplicate letters an index number. For example, consider the duplicates due to the letter "[tex]\verb!E![/tex]". There are four [tex]\verb!E![/tex]'s in [tex]\verb!TENNESSEE![/tex]. Label them as [tex]\verb!E!_1[/tex], [tex]\verb!E!_2[/tex], [tex]\verb!E!_3[/tex], and [tex]\verb!E!_4[/tex]:

[tex]\begin{array}{ccccccccc}\verb!T! & \verb!E! & \verb!N! & \verb!N! & \verb!E! & \verb!S! & \verb!S! & \verb!E! & \verb!E! \\ & \uparrow & & & \uparrow & & & \uparrow & \uparrow \\ & \verb!E!_1 & & & \verb!E!_2 & & & \verb!E!_3 & \verb!E!_4\end{array}[/tex].

These four [tex]\verb!E![/tex] can be shuffled and rearranged to give a large number of duplicates:

[tex]\begin{array}{r|ccccccccc}& \verb!T! & \verb!E! & \verb!N! & \verb!N! & \verb!E! & \verb!S! & \verb!S! & \verb!E! & \verb!E! \\ &&\uparrow&&&\uparrow&&&\uparrow &\uparrow\\ 1 & & \verb!E!_1 & & & \verb!E!_2 & & & \verb!E!_3 & \verb!E!_4\\ 2 & & \verb!E!_1 & & & \verb!E!_2 & & & \verb!E!_4 & \verb!E!_3 \\ 3 & & \verb!E!_1 & & & \verb!E!_4 & & & \verb!E!_3 & \verb!E!_2 \\\ \vdots & & \vdots & & & \vdots & & & \vdots&\vdots \\4! = 24&&\verb!E!_4 & & & \verb!E!_3 & & & \verb!E!_2 & \verb!E!_1 \end{array}[/tex].

Each of these duplicate corresponds to a unique way for arranging four unique item in a row. There are [tex]4! = 24[/tex] ways to arrange four unique items in a row. Therefore, for each arrangement that is truly unique, the letter "[tex]\verb!E![/tex]" alone would have caused the arrangement to be counted [tex]4! = 24[/tex] times if the nine letters were assumed to be unique.

At the same time, letters "[tex]\verb!N![/tex]" and "[tex]\verb!S![/tex]" would further exaggerate the count by a factor of [tex]2[/tex] each. On the other hand, the letter [tex]\verb!T![/tex] appeared only once and would not create duplicates.

Overall, if the nine letters were assumed to be unique, each arrangement that is truly unique would have been counted:

[tex]4! \times 2! \times 2! \times 1! = 96\; \text{times}[/tex].

The count based on the incorrect assumption (that the nine letters are all distinct) is [tex]362,\!880[/tex]. Divide that count by the factor of exaggeration ([tex]4! \times 2! \times 2! \times 1! = 96[/tex]) to find the number of arrangements that are truly unique:

[tex]\begin{aligned} & 362,\!880 \times \frac{1}{4! \times 2! \times 2! \times 1!} = 3,\!780\end{aligned}[/tex].

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