========================================================
Explanation:
r = 0.02 = decimal form of 2% annual interesti = monthly interest ratei = r/12 = 0.02/12 = (2/100)/12 = 1/600.n = number of months = 12*30 = 360P = monthly payment = 700We'll plug those items into the formula below.
L = loan amount
L = P*( (1+i)^n - 1)/( i*(1+i)^n )
L = 700*( (1+1/600)^360 - 1 )/( 1/600*(1+1/600)^360 )
L = 189,383.961539639
L = 189,383.96
The couple can afford to borrow at most $189,383.96
Find the expected value of the winnings from a game that has the following payout probability distribution: Payout ($) 1 2 5 8 10 Probability 0.35 0.2 0.1 0.2 0.15 = Expected Value = [?] Round to the nearest hundredth. Enter
Multiply each payout by the corresponding probability, and add these up:
1•0.35 + 2•0.2 + 5•0.1 + 8•0.2 + 10•0.15 = 4.35
So one can expect to win $4.35 from playing the game.
1: Solve and Graph: 5-3(x - 1)> 2
2: Solve and Graph: 2x - 3> 7 or x+5<2
3: Solve for x: |1x-5|=13
Answer:
3) x=18 , -8
Step-by-step explanation:
hi
hope it helps you
Consider the triangle below.
M
(15x + 5)º
--
(3x + 2)
(5x - 11)
N
Determine the measure of angle P.
Р
mZP
degrees
The measure of angle P is 29 degrees
The sum of an interior angle of a triangle is 180 degrees. Given the following parameters:
m<M = 15x + 5m<N = 3x + 2m<P = 5x - 11Taking the sum and equating to 180 degrees:
m<M + m<N + m<P = 180 degrees
15x + 5 + 3x + 2 + 5x - 11 = 180
23x - 4 = 180
23x = 184
x = 184/23
x = 8
Get the measure of m<P
m<P = 5x - 11
m<P = 5(8) - 11
m<P = 40 - 11
m<P = 29 degrees
Hence the measure of angle P is 29 degrees
Learn more on angles here: https://brainly.com/question/25770607
Find area of the region under the curve y=9−3x^2 and above the x-axis.
Answer:
A = 12√3
Step-by-step explanation:
first find the limits by finding the zeros
0 = 9 − 3x²
3x² = 9
x² = 3
x = ±[tex]\sqrt{3}[/tex]
[tex]A = \int\limits^a_b ({9 - 3x^2\\}) - 0\, dx[/tex]
where b = [tex]-\sqrt{3}[/tex] and a = [tex]\sqrt{3\\}[/tex]
A = 9x - x³ [tex]\left \{ {{\sqrt{3} } \atop {-\sqrt{3} }} \right.[/tex]
[tex]A = 9\sqrt{3} - \sqrt{3} ^3 - (9(-\sqrt{3)} - (-\sqrt{3} )^3)[/tex]
[tex]A = 9\sqrt{3} -3\sqrt{3} +9\sqrt{3} - 3\sqrt{3}[/tex]
[tex]A = 12\sqrt{3}[/tex]
39 round to the nearest hundred
Equation for 13 divided by 4 equals 3.25
Answer: 13 ÷ 4 = 3.25 or [tex]\frac{13}{4} = 3.25[/tex] (Both means the same thing but you can pick which equation you want0
Step-by-step explanation: Hope this helps! :D
Solve the equation for z, where z is restricted to the given interval.
[tex]y=7sinz[/tex], for z in [tex][-\frac{\pi }{2}, \frac{\pi }{2} ][/tex]
[tex]y = 7sin(z)\implies 0 = 7sin(z)\implies 0=sin(z)\implies sin^{-1}(0)=sin^{-1}[sin(z)] \\\\\\ sin^{-1}(0)=z\implies 0=z[/tex]
What is the greatest common factor shared by 70 and 15?
Answer here
SUBMIT
Answer:
The greatest common factor of 70 and 15 is 5.
Step-by-step explanation:
First, list the prime factors for each individual number
Next, circle each common prime factor. This means that you must find the prime factors that are the same as each other. For example, if it's 1 3 4 and 2 3 5, the common prime factor would be 3.
Finally, you must multiply all of the common prime factors. Your answer will be the greatest common factor!
So, the greatest common factor of 70 and 15 is 5.
Measure the paper clip to the nearest 1/8 inch.
A. 1 2/8 inches
B. 1 1/2 inches
C. 1 4/8 inches
D. 1 3/8 inches
Answer:
1 3/8 D
Step-by-step explanation:
The first and most obvious part of the answer is that the paper clip is at least 1 inch long. The question is how much longer?
It is between 1/4 of an inch and 1/2 of an inch. In fact it is exactly half way between them.
So that resembles an average.
(1/4 + 1/2)/2 = (1/4 + 2/4) / 2 = (3/4)/2
[tex]\frac{\frac{3}{4} }{2} = \frac{\frac{3}{4} }{\frac{2}{1} }[/tex]
Now the trick is to invert the denominator (make it 1/2) and multiply
3/4 * 1/2 = 3/8
11
For your job, you often fly between Seattle and Miami. The distance between these cities is 2,724 miles. You earn a free flight after you accumulate 25,000 miles of travel. How many round trips (back and forth) mus!
you make between Seattle and Miami in order to earn a free flight?
b. 5
c. 8
d. 9
e. 10
Answer 5
Answer:
b
Step-by-step explanation:
one trip = 2724 miles
one round trip = 2 trips = 2724 * 2 = 5448 miles
We want to see how many round trips go into the miles needed for a free flight. We want to see how many times 5448 goes into 25000. To do this, we can use division.
25000/5448 ≈ 4.6
If we only have 4 round trips, it will not be enough for 4.6, so we will not be able to obtain a free flight. If we have 5, we will be able to, as 5 > 4.6
Does anyone know how to solve this?
B+8/2=6
How do I do this
Answer:
B = 2.
Step-by-step explanation:
First work out 8/2. Okay so how many 2's go into 8? 4.
We now have B + 4 = 6.
Now that we've simplified it a bit we can do a reverse equation and turn it into subtraction.
Take the answer (6) and 4 and put them into a subtraction equation,
6 - 4. And simple subtraction should be easy so 6 - 4 = 2.
So B equals 2. Let's check it! 2 + 4 = 6. I think that sounds right so that will be the answer. B=2.
Hope that helps. x
Describe the functions plz and thank u<3also 50pts
Answer:
See belowStep-by-step explanation:
Given function:
y = 1/2|x + 3| + 2This is a transformation of the absolute value function y = |x|.
The transformations are:
1. Dilation by a scale factor of 1/22. Translation left by 3 units3. Translation up by 2 pointsThe locator point is the vertex: (-3, 2)
Domain is any value: x = (- ∞, + ∞)
Range is anything not less than 2: y ≥ 2 or y = [2, + ∞)
See the graph attached
if x+1/x=7,find x^2+1/x^2
Answer:
x²+1/x² = 51
Explanation:
Given x - 1/x = 7 ---(1)
We know the algebraic identity:
a²+b²-2ab = (a-b)²
Or
a²+b² = (a-b)²+2ab
Now,
x²+1/x²
= (x-1/x)²+2*x*(1/x)
= (x-1/x)²+2
:7²+2 [ from (1)] =
= 49+2
= 51
Therefore,
x²+1/x² = 51
Last year, 50 students attended the movie night. This year, 65 students attended the movie night. fine the percent of increase in the number of students who attended the movie night.
Answer: 30%
Step-by-step explanation:
It increased by 15 so it increased by 15/50=30/100=30%
I hope this helped!
2(3x-12)=6(x-2)
PLEASE HELP!!!
Identify the digit in the ten thousandths place in every number.
1.) 12.00535
2.)54.01247
3.) 3.98056
4.) 0.00667
5.) 70.70071
6.) 0.07889
7.) 10.00898
Answer:
Step-by-step explanation:
The decimal point will help you find your way here. Just to the right of the decimal is the tenths place. 0.4 is the number four tenths.
Next, farther to the right is the hundredths place-- 0.04 is the number four hundredths.
Next over is the thousandths place-- 0.004 is the number four thousandths. And finally, the next over is the ten thousandths place...like this, 0.0004 is the number four ten thousandths
So, 1) 12.00535 has a one in the tens place, a two in the ones place, zeros in the tenths and also the hundredths places, fives in the thousandths place and also the hundred thousandths place, AND, what you're looking for-- a 3 in the ten thousandths place.
1) 3
2) 4
3) 5
4) 6
5) 7
6) 8
7) 9
For ten thousandths place, you're looking at the fourth spot on the right side of the decimal.
Pleaseeeee heeeeelp!!!
Answer:
a=35 b=14 c=5
Step-by-step explanation:
a
180-55-90=35
b
b+6=20
b=14
c
4c-6=14
14+6=20
20/4=5
Help help math math math
Answer:
-3) -23
0) -8
3) 7
6) 22
Step-by-step explanation:
Plug in the x value for each function and solve for y
Answer:
-3) -23
0) -8
3) 7
6) 22
Step-by-step explanation:
Zachery sold 85 shares of stock for $65 a share. He paid $43 for it three years ago. How much was his capital gain?
Answer:
85*65=5525
85*43=3655
5525-3655=1870
Hope This Helps!!!
The temperature is -8 degrees Fahrenheit. The height pressure front increases the temperature to 7 degrees Fahrenheit. By how many degrees did the temperature increase.
(Please show work and explanation)
Answer:
3 dregreess 5 degrees temperature
The normal price of a television is reduced by 30% in a sale. The sale price of the television is £350 Work out the normal price of the television?
Answer:
$245
Step-by-step explanation:
0.7 * 350 = 245
The normal price of the television, if The normal price of a television is reduced by 30% in a sale, The sale price of the television is £350, is £500.
What is the sale price?The price at which something sells or is purchased following a price reduction. The cost that something is sold for. In other words, the price at which something is sold to a customer is called the sale price
Given:
The normal price of a television is reduced by 30% in a sale,
The sale price of the television is £350,
Write the equation of the above statement as shown below,
Normal price - 30% of normal price = Sale price
Substitute the value,
Normal price(1 - 0.30) = £350
Normal price = 350 / 0.7
Normal price = £500
To know more about the sale price:
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2) through: (-4, 5) and (-5,0
what is the slope intercept form of the line
Answer:
hello
Step-by-step explanation:
say hell-o
A contractor decides that he can build a house in eight weeks using 5 men. If he employs 3 more men, how long will the job take? Assume that all the men work at the same rate.
An urn contains three red balls and four blue balls. Draw two balls at random from the urn, without replacement. Compute the expected number of red balls in your sample. (Round your answer to four decimal places.)
Step-by-step explanation:
in total we have 3+4 = 7 balls.
when we draw the first ball, the probability to draw a red ball is 3/7, and a blue ball 4/7.
when we draw the second ball, we have now only 6 balls in total.
the probabilty to draw a red back now depends also on the result of the first draw.
if the first ball was already red, then we have only a chance now of 2 out of 6.
if the first ball was blue, then we have now a chance of 3 out of 6.
so, the probably to draw at least 1 red ball in 2 draws is the probability of drawing one on the first draw plus the probability of drawing one on the second :
1 - probability to see 2 blue balls
1 - 4/7 × 3/6 = 1 - 12/42 = 30/42 = 0.714285714...
the expected number of red balls in 2 draws is
1 red in first red in first red in second
but not second and second but not first
1×(3/7 × 4/6) + 2×(3/7 × 2/6) + 1×(4/7 × 3/6) = 12/42 + 12/42 + 12/42 = 36/42 = 6/7 = 0.857142857 ≈ 0.8571
Elton has 2 jobs and can work at most 32 total hours per week. He makes $9.00 per hour as a dog walker and $10.00 per hour as a store clerk. He wants to earn a minimum of $200 per week. Which is system of inequalities can be solved to find the possible combination of hours worked at each job that will help him to reach his goal?
Answer:
3-4 days
Step-by-step explanation:
So, if Elton works at each job for 5 hours, he will get $95. He would keep on doing this for 2-3 days. He would get $190 in total. The next day, he could get his $10 for being a store clerk. 190 + 10 = 200. And that's how Elton would make $200 in less than one week!
How does (x^3)^3 = x^6 ?
Answer:
It does not, unless [tex]x=0[/tex] or [tex]x=1[/tex]
If you remember how to raise a power to a given power you remember to multiply the exponents (or, if you don't, apply the definition of [tex](x^3)^3=(x^3)(x^3)(x^3)=x^9[/tex]
At this point you're being asked if [tex]x^9=x^6[/tex] and the only two numbers for which this is true are 0 and 1 (side note: if the left hand side was an even function also [tex]-1[/tex] was a possible candidate, but alas 9 is odd).
At Howard High School, 6% of the students ride bikes to school. If 950 students attend Howard High School, how many students ride a bike to school?
I need the answer like rn...
Answer:
19 students ride a bike to school
How do you balance a firm’s need to succeed and the need for not asking the workers for perfection?
The way to balance a firm's need to succeed and the need for not asking the workers for perfection is through the offering of training to workers, which allows them to notably improve their performances autonomously, without this being directly instigated by the company's directory.
That is, through the education of workers in the different areas of their jobs, the level of the same will be improved and better results will be obtained.
Learn more about perfectionism in https://brainly.com/question/7277328
Angles A,D and G are congruent, and angles c, f and j are congruent. What is the mesure of angle E?
Answer:
60
Step-by-step explanation:
Since the angles A, D, and G are congruent then sum of given angles is eaqual to 180 degrees
x + 20 + 2x + x = 180 add like terms
4x + 20 = 180 subtract 20 from both sides
4x = 160 divide both sides by 4
x = 40
Angles B, E, and H are congruent so E is also = x + 20 and x = 40 so angle E = 60