Carl bought a sailboat for $11,640 on the installment plan. The installment agreement included a 15% down payment and 18 monthly payments of $646.24 each. a) How much is the down payment. b) What is the total amount of the monthly payments. c) What is the total cost she paid for the sailboat on the installment plan. d) What is the finance charge.

Answers

Answer 1

Answer:

A) the down payment was $ 1,746, B) the total amount of the montly payments is $ 11,632.32, C) the total cost is $ 13,378.32, and D) the finance charge is 14.93%.

Step-by-step explanation:

Given that Carl bought a sailboat for $ 11,640 on the installment plan, and the installment agreement included a 15% down payment and 18 monthly payments of $ 646.24 each, to determine A) how much is the down payment, B) what is the total amount of the monthly payments, C) what is the total cost she paid for the sailboat on the installment plan, and D) what is the finance charge, the following calculations must be performed:

A) 11,640 x 0.15 = 1,746

B) 18 x 646.24 = 11,632.32

C) 11,632.32 + 1,746 = 13,378.32

D) 11,640 = 100

     13,378.32 = X

     13,378.32 x 100 / 11,640 = X

     1,337,832 / 11,640 = X

     114.93 = X

Therefore, A) the down payment was $ 1,746, B) the total amount of the montly payments is $ 11,632.32, C) the total cost is $ 13,378.32, and D) the finance charge is 14.93%.


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======================================================

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--------------

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---------------

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---------------

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---------------

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Hi there!  

»»————- ★ ————-««

I believe your answer is:  

The second option, [tex]\boxed{x+41=90}[/tex].

»»————- ★ ————-««  

Here’s why:  

In the picture given, there are two angles that, together, make up a right angle. You can also tell that it is a right angle because of the box marked in the bottom left corner. The angles in the picture are also complementary angles. Complementary angles add up to 90°. Right angles measure 90°.

⸻⸻⸻⸻

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[tex]\boxed{\text{An equation to find 'x'.}}\\\\\text{The sum of the angle's measurements: }90$^{\circ}$\\\\\text{The given measurement for one of the angles: }41$^{\circ}$\\\\----------------\\\\\underline{The sum of the two angle measurements would be 90 degress.}\\\\\text{Given angle mesurement} + x = 90\\\\\boxed{41 + x = 90}[/tex]

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»»————- ★ ————-««  

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PN = LO

__________________________

(LO)^2 = (LN)^2 + (NO)^2

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__________________________

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