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never [62]
3 years ago
10

Raj has 2 options when leasing a new car. Option A: $2,000 due at signing and a monthly payment for 36 months for a total of $7,

220. Option B: $1,500 due at signing and a monthly payment for 36 months for a total of $7,080. Which statement about these options is true? B. Option A has a lower monthly payment. D. The difference in the monthly payments is less than $10. C. Option B has a lower monthly payment. A. The monthly payments are equal.
Mathematics
1 answer:
saw5 [17]3 years ago
6 0

Answer:

C. Option B has a lower monthly

Step-by-step explanation:

Option A: $2,000 due at signing and a monthly payment for 36 months for a total of $7,220.

$2,000 + $7,220

Total = $9,220

Option B: $1,500 due at signing and a monthly payment for 36 months for a total of $7,080.

$1,500 + $7,080

Total = $8, 580

C. Option B has a lower monthly payment of $8,580

That is about $640 cheaper than option A

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<h3>What is compound interest?</h3>

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As it is given that the principal amount is $15,000; while the rate of interest is 2.8%, and the amount is invested for a period of 5 years.

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As we know that there are 52 weeks in a year, therefore, n = 52, substitute the values,

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B.) When the interest is charged daily,

As we know that there are 365 days in a year, therefore, n = 365, substitute the values,

A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{365})^{365 \times 5}\\\\A = \$19,554.55

C.) When the interest is charged Continuously,

As we know that the formula for continuous compounding is given as,

A = Pe^{rt}

Substitute the values, we will get,

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D.) When the interest is charged Monthly,

As we know that there are 12 months in a year, therefore, n = 12, substitute the values,

A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{12})^{12\times 5}\\\\A = \$15211.23

E.) When the interest is charged Semi-annually,

As we know that the interest is charged Semi-annually, therefore, n = 2, substitute the values,

A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{2})^{2\times 5}\\\\A = \$17,237.36

F.) When the interest is charged Quarterly,

As we know that the interest is charged Quarterly, therefore, n = 4, substitute the values,

A = P(1+ \dfrac{r}{n})^{nt}\\\\A = 15000(1+ \dfrac{0.028}{4})^{4\times 5}\\\\A = \$17,245.7

Learn more about Compound Interest:

brainly.com/question/25857212

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