3. Carlos' grandparents gave him $19,000
for college. He plans to invest it with Willy
Loanshark. Willy pays 10% compounded
quarterly for one year. How much will Carlos
have at the end of the year? *
O
$20972.44
O
$2851187.50
O
$19475.00
O
$66500.00

A = 20972.44

Step by step explanation:

Principal (P) = 19000

Rate = 10% = 0.1

Time = 1 year

N (number of time the interest is compounded) = 4

Compound interest (A) = P(1 + r/n)^nt

A = 19000 * (1 + 0.1 / 4)^4*1

A = 19000 * (1 + 0.025)⁴

A = 19000 * 1.025⁴

A = 19000 * 1.1038

A = 20972.44

The interest at the end of the year is $20972.44

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870