(100)
georgie took 275 mg of medicine for her cold in the first hour she got home from work. in each
subsequent hour, the amount of medicine in her body is 91% of the amount from the previous
hour.
what is the explicit rule for the amount of medicine remaining in her body in the nth hour and
approximately how much medicine would remain in the 8th hour?
round to two decimal places.
drag and drop the answers into the boxes to match the situation.

Step-by-step explanation:

Geometric sequence

Each term in a geometric sequence can be computed as the previous term by a constant number called the common ratio. The formula to get the term n is

where is the first term of the sequence

The problem describes Georgie took 275 mg of the medicine for her cold in the first hour and that in each subsequent hour, the amount of medicine in her body is 91% (0.91) of the amount from the previous hour. It can be written as

amount in hour n = amount in hour n-1 * 0.91

a)

This information provides the necessary data to write the general term as

b)

In the 8th hour (n=8), the remaining medicine present is Georgie's body is

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.