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

the answers c

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.