Caroline has a movie card worth $75 that her grandfather gave to her for her birthday. after seeing her first movie, the card’s value is $67. after she sees a second movie, its value is $59 and after she sees a third movie, its value is $51. assuming the pattern continues, which function ƒ(m) can be used to determine the amount of money on the card after m movies?

f(m) = 75-8m

Step-by-step explanation:

She began with $75.  After the first movie, she had $67 remaining; this means she spent

75-67 = $8

After the second movie, she had $59 remaining; she spent

67-59 = $8

After the third movie, she had $51 remaining; she spent

59-51 = $8

Each movie costs $8.  Letting m represent the number of movies, this gives us 8m.

Since she is spending money, we subtract this from the original amount, $75; this gives us

f(m) = 75-8m

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.