If interest is compounded every 3 months, how often is it compounded?
a. monthly
b. semianually
c. quarterly
d. annually

(apex)

c. quarterly

Step-by-step explanation:

To start with 1 year is equal to twelve months

3months out of 12 months will be;

3/12= 1/4

Here it is compounded quarterly and n=4  where n is the number of compoundings a year.

Lets study the compound interest formula;

where;

A=The ending amount

P=Starting amount

r=rate of interest expressed as a decimal

n=number of compoundings a year

t=total number of years

The number of compoundings in any one year  can be an interest compounded  yearly where n=1, semi-annually with n=2, quarterly where n=4, monthly where n=12, weekly and n=52 and finaly daily with n=365.

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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