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larisa [96]
4 years ago
12

Millie decided to purchase a $17,000 MSRP vehicle at a 4% interest rate for 6 years. The dealership offered her a $2700 cash-bac

k incentive, which she accepted. If she takes all these factors into consideration, what monthly payment amount can she expect?
A.$223.73

B.$243.25

C.$274.61

D.$235.51
Mathematics
1 answer:
Elodia [21]4 years ago
4 0

Answer:

Monthly Payment Amount for Millie = $223.73

Step-by-step explanation:

MSRP of the vehicle = $17000

Cashback offered by the dealer = $2700

Net MSRP of the vehicle = 17000 - 2700 = $14300

Now, Principal = $14300

Annual Rate  = 0.04

\implies\text{Monthly rate, r = }\frac{0.04}{12}\approx 0.0033}

Time, n = 6 years = 72 months

\text{Monthly Payment = }\frac{r\times Principal}{1-(1+rate)^{-n}}\\\\\text{Monthly Payment = }\frac{0.0033\times 14300}{1-(1+0.0033)^{-72}}\\\\\bf\implies\textbf{Monthly Payment = }\$223.73

Hence, Monthly Payment Amount for Millie = $223.73

So, Option A. is correct.

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Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

Let's first establish that the shape is a triangle meaning that the following formula is applicable as displayed below:

Angle sum of a triangle = 180°

As well as this, the shape is an equilateral triangle meaning that each angle of the triangle is equivalent in value. Also, the following formula is also applicable as displayed below:

Each angle of an equilateral triangle = the same value

Therefore:

Each angle of an equilateral triangle = angle sum of a triangle ÷ no. of angles in a triangle = 180° ÷ 3 = 60°

Based on this, the following is applicable:

2x - 4 = 60°

2x = 60 + 4

2x = 64

x = 64 / 2

x = 32°

ANSWER:

Therefore, the answer is:

The value of ( x ) is 32°


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3 years ago
Which describes the calculations that could be used to solve this problem? Lauren has 42 muffins to pack into boxes and bags. Sh
Marat540 [252]
The correct answer is D, 'Subtract 42 - 12. Then divide the difference by 3'. Lauren has 42 muffins, and she can put 12 of them into a box, leaving her with 30 muffins to fit into bags. If she can fit 3 muffins in each bag, and she wants to know how many bags she needs, then she needs to divide 30 by 3 to get 10. This means that she will need 10 bags of 3 muffins to completely pack 30 muffins. She started with 42, but 12 of those fit into the original box, so we don't have to worry about it.

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