You believe in the power of compounding and decide to save $1 per day by avoiding the purchase of a soda. you deposit the $1 at the end of each day in a bank account that pays 8% interest compounded daily. you are going to take a trip in 20 years with the money you have accumulated. how much money will you have in 20 years, assuming 365 days per year?
a. $7,500
b. $12,438
c. $18,032
d. $22,456

option (c) $18,032

Step-by-step explanation:

Data provided in the question;

Amount deposited at the end of each day = $1

Interest paid = 8% compounded daily = 0.08

Daily interest rate =  =  0.000219

Duration = 20 years = 20 × 365 days = 7300 days

Now,

the Future value is given as:

Future value = Part payment ×

here, r is the interest rate

n is the duration

thus,

Future value = $1 ×

or

Future value = $18033.56 ≈ $18,032

Hence, the correct answer is option (c) $18,032

step-by-step explanation:

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0