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slega [8]
3 years ago
6

A rectangular prism has a length of 9 centimeters, a height of 15 centimeters, and a width of 20 centimeters. What is its volume

, in cubic centimeters?
Mathematics
1 answer:
BabaBlast [244]3 years ago
4 0

your answer is 2,700 cubic centimeters

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Assume that you purchased a new car today and financed $55,000 of the price on a 72-month payment contract with a nominal rate o
katovenus [111]

Answer:

The amount that your loan balance will be when you pay off the car is $20,566.18.

Step-by-step explanation:

Step 1. Calculation of monthly payment

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or the cost of the new car = $55,000

P = Monthly payment = ?

r = Monthly nominal rate = Nominal rate / 12 = 6% / 12 = 0.06 / 12 = 0.005

n = number of months = 72

Substitute the values into equation (1) and solve for P, we have:

$55,000 = P * ((1 - (1 / (1 + 0.005))^72) / 0.005)

$55,000 = P * 60.3395139355201

P = $55,000 / 60.3395139355201 = $911.51

Step 2. Calculation of the loan amount balance when you pay off the car

This can be calculated using the ballon payment formula as follows:

P = (PV - (Ballon / (1 + r)^n)) * (r / (1 – (1 + r)^-n)) ...................... (1)

Where:

P = Monthly payment = $911.51

PV = Present value or the cost of the new car = $55,000

Ballon = Ballon payment or the loan amount balance when you pay off the car = ?

r = Monthly nominal rate = Nominal rate / 12 = 6% / 12 = 0.06 / 12 = 0.005

n = number months to pay off the loan amount balance = 48

Substituting the values into equation (1) and solve for Ballon, we have:

911.51 = (55,000 - (Ballon / (1 + 0.005)^48)) * (0.005 / (1 - (1 + 0.005)^-48))

911.51 = (55,000 - (Ballon / 1.27048916109538)) * 0.0234850290479363

911.51 / 0.0234850290479363 = 55,000 - (Ballon / 1.27048916109538)

38,812.39 = 55,000 - (Ballon / 1.27048916109538)

Ballon / 1.27048916109538 = 55,000 - 38,812.39

Ballon / 1.27048916109538 = 16,187.61

Ballon = 16,187.61 * 1.27048916109538

Ballon = $20,566.18

Therefore, the amount that your loan balance will be when you pay off the car is $20,566.18.

5 0
3 years ago
Use FOIL to derive the identify for (a+b)^2.​
Firlakuza [10]

Answer:

a^2+2ab+b^2

Step-by-step explanation:

FOIL method is First variables Outer variables Inner variables Last variables

(a+b)^2 rewritten is (a+b)(a+b)

F - a*a

O - a*b

I - a*b

L - b*b

a*a+a*b+a*b+b*b

simplify

a^2+2ab+b^2

3 0
3 years ago
Write in logarithmic form.<br> 729 = 9^3
kolezko [41]

Answer:

Step-by-step explanation:

729 = 9³

by definition

a = b^{c} can be written as log_{b} a = c

by the same reasoning

729 = 9^{3} can be written as log_{9} 729 = 3

4 0
3 years ago
Noah earned w dollars over the summer. Mai earned x dollars, which is y dollars
Aneli [31]

Answer:

what is the question please explain

5 0
3 years ago
FIRST ONE TO ANSER WILL BE MARKED BRAINLIEST!!
FromTheMoon [43]
Ok so
-10, -6
4,-6
-3,-13
-3,1
should be it
7 0
3 years ago
Read 2 more answers
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