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stira [4]
3 years ago
10

Esther pays $355 per month for 5 years for a car. She made a down payment of $2,500. If the loan costs 7.1% per year compounded

monthly, what was the cash price of the car? I really just need the formula. I can't for the life of me figure it out!
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
5 0
The cash price of the car includes the amount of the loan plus the amount of the down payment
Cash price=the loan of the car+down payment

First find the amount of the loan by using the formula of the present value of an annuity ordinary which is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv the amount of the loan ?
PMT payment per month 355
R interest rate 0.071
K compounded monthly 12
N time 5years
Pv=355×((1−(1+0.071÷12)^(−12
×5))÷(0.071÷12))
=17,885.56

Cash price=17,885.56+2,500
=20,385.56....answer
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Among 320 randomly selected airline travelers, the mean number of hours spent travelling per year is 24 hours and the standard d
Ostrovityanka [42]

The margin of error of the random selection is 0.29

The given parameters are:

n = 320 --- the sample size

\sigma = 2.9 --- the standard deviation

\bar x = 24 --- the mean

\alpha = 90\% --- the confidence level.

The margin of error (E) is calculated as follows:

E = z \times \sqrt{\frac{\sigma^2}{n}}

So, we have:

E = z \times \sqrt{\frac{3.2^2}{320}}

E = z \times \sqrt{\frac{10.24}{320}}

The z-value for 90% confidence level is 1.645.

Substitute 1.645 for z

E = 1.645 \times \sqrt{\frac{10.24}{320}}

E = 1.645 \times \sqrt{0.032}

Take square roots

E = 1.645 \times 0.1789

Multiply

E = 0.2943

Approximate

E = 0.29

Hence, the margin of error is 0.29

Read more about margin of error at:

brainly.com/question/14396648

5 0
2 years ago
Read 2 more answers
Use the rule for y= -6x +8 to find the output if the input is x=20
lisov135 [29]

Answer:

The output of the function y = -6x + 8 when the input is x = 20 is -112.

Step-by-step explanation:

y = -6x + 8

Input the value x = 20.

y = -6(20) + 8

Multiply -6 and 20.

y = -120 + 8

Add -120 and 8.

y = -112.

8 0
3 years ago
2x+y=8<br> y+3z=5<br> z+2w=1<br> 5w+3x=9<br><br> Find the solution to each variable
morpeh [17]

Answer:

  w = 0, x = 3, y = 2, z = 1

Step-by-step explanation:

You can use each equation to write an expression that will substitute into the next equation.

  y = 8 -2x . . . . from the first equation

  8 -2x + 3z = 5 . . . . . substituted into the second equation

  z = (-3 +2x)/3 . . . . . solved for z

  (-1 +2/3x) +2w = 1 . . . . . substituted into the third equation

  w = (2 -2/3x)/2 . . . . . solved for w

  5(1 -1/3x) +3x = 9 . . . . . substituted into the last equation

  4/3x = 4 . . . . . simplified, 5 subtracted

  x = 3 . . . . . . . . multiply by 3/4

  w = 0 . . . . . . . .value of x substituted into equation for w

  z = 1 . . . . . . . . value of x substituted into equation for z

  y = 2 . . . . . . . .value of x substituted into equation for y

The solution is (w, x, y, z) = (0, 3, 2, 1).

4 0
3 years ago
It takes 1 gallon of gas to drive 25 miles. which measure of efficiency is this an example of
Brilliant_brown [7]
Are these the choices? <span>Cost, Time, Pace, Materials? 

I think the answer would be - it is a measure of the efficiency of the materials used in the car. Since this talks about how many gallons of gas a drive of 25 miles would consume. </span>
8 0
3 years ago
Jenny borrowed money from her mother to help pay for some bills. Her mother told her that she could borrow $1,200 at an interest
mario62 [17]

Answer:

1,287

Step-by-step explanation:

makatulong ba o hindi

3 0
2 years ago
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