Diego is 59.5 inches tall. His brother is 40.125 inches tall. How much taller than his his brother is Diego?

11. Mr Lee bought a second hand car for

Marrrta [24]

Answer :

Depends on the rate compound interest is accrued. See answers.

Step-by-step explanation:

We need the compound interest formula which is:

$A = P (1+\frac{r}{n} )^{nt}$

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

It doesn't say how frequently the interest is compounded, so we will do monthly, quarterly, and yearly.

MONTHLY

So we know the car costs $25,480 and he made a down payment of $10,000. By subtracting the down payment from the purchase price we find the loan amount.

$25,480 - $10,000 = $15,480

P = 15,480

r = 4.75% = .0475

n = 12 (12 months in a year)

t = 2

Plug everything into the compound interest formula.

$A = P (1+\frac{r}{n} )^{nt}$

$A = 15480(1+\frac{.0475}{12})^{12*2}$

$A = 15480(1+\frac{.0475}{12})^{24}$

$A = 15480(1+.00396)^{24}$

$A = 15480(1.00396)^{24}$

$A = 15480*1.0992$

$A = $17016.14$

Mr. Lee paid $17,016.14 when the bill came due at 2 years with interest compounded monthly.

QUARTERLY

P = 15,480

r = 4.75% = .0475

n = 4 (4 quarters in a year)

t = 2

$A = P (1+\frac{r}{n} )^{nt}$

$A = 15480(1+\frac{.0475}{4})^{4*2}$

$A = 15480(1+\frac{.0475}{4})^{8}$

$A = 15480(1+.0119})^{8}$

$A = 15480(1.0119)^{8}$

$A = 15480*1.099$

$A = 15480(1.099)$

$A = 17013.20$

Mr. Lee paid $17,013.20 when the bill came due at 2 years with interest compounded quarterly.

YEARLY

P = 15,480

r = 4.75% = .0475

n = 1

t = 2

$A = P (1+\frac{r}{n} )^{nt}$

$A = 15480(1+\frac{.0475}{1})^{1*2}$

$A = 15480(1+\frac{.0475}{12})^{2}$

$A = 15480(1+.0475})^{2}$

$A = 15480(1.0475)^{2}$

$A = 15480*1.0973$

$A = 16985.53$

Mr. Lee paid $16,985.53 when the bill came due at 2 years with interest compounded yearly.

4 0

4 years ago

A parallelogram is formed by the supports that attach a basketball backboard and rim to the wall. The angles change as the baske

irina [24]

The measure of angle BCD is 32 degrees

<h3>How to determine the value of BCD?</h3>

The image of the parallelogram that completes the question is added as an attachment.

The given parameter is:

m<DAB = 32 degrees

From the attached image, we can see that BCD and DAB are opposite angles.

Opposite angles of a parallelogram are equal.

So, we have:

BCD = 32 degrees

Hence, the measure of BCD is 32 degrees

Read more about parallelograms at:

brainly.com/question/21322889

#SPJ1

3 0

2 years ago

Bob drafts his favorite race car on a scale drawing. The drawing scale is 2 inches for each foot. If the drawing is 30 inches lo

tensa zangetsu [6.8K]

Answer:

15 feet: 30 divided by 2 is 15

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

120 dollars is how many pounds

inna [77]

$120 USD is equivalent to £84.55

8 0

4 years ago

Store a sells 12 bottles of water for 3.36 store b sells 24 bottles of water for 6.00 How much more Willa customer pay for 48 bo

Nataly_w [17]

Answer:

$1.44

Step-by-step explanation:

<u>Store A:</u>

12 bottles of water for $3.36

Then

48 bottles of water for $\$3.36\cdot 4=\$13.44$ (48 bottles is 4 times greater than 12 bottles)

<u>Store B:</u>

24 bottles of water for $6.00

Then

48 bottles of water for $\$6.00\cdot 2=\$12$ (48 bottles is twice greater than 24 bottles)

<u>Difference:</u>

$\$13.44-\$12=\$1.44$

6 0

3 years ago