You deposit $750 in a savings account the earns a 5% annual interest compounded quarterly. a. write the function that represents the balance after t years.

b. what is the balance of the account after 4 years?

The function that represents the balance after t years is FV = $750( 1.0125)^4t.

The balance of the account after four years is $914.92.

The formula for calculating future value:

FV = P (1 + r)^nm

Where:

FV = $750( 1.0125)^4t

$750( 1.0125)^(4 x 4) = $914.92

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a.

b .$914.85

Step-by-step explanation:

Step one:

given data

principal p=$750

rate= 5%= 0.05

for quarterly compounding n=4

a. the function that represents the balance after t years.

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

b. when t=4

A= $914.85

the 4th choice is the correct one

step-by-step explanation:

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.