Justine earned $19,000 during the first year of her job at city hall. After each year, she received a 8.6% raise. Find her total earnings throughout her 20-year career.

929,477.13

Step-by-step explanation:

Number of years, n = 20

Using the relation :

a(1- r^n)/ (1 - r) ;

where a is the first term, r is the common ratio and n is the number of years

a = 19000

r = 1 + 8.6% = 1.086

19000(1 - 1. 086^20) / (1 - 1.086)

19000(1 - 1.086^20) / (1 - 1.086)

−79935.0336930 / (1 - 1.086)

= 929,477.13

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).

yes, gavin is right.

step-by-step explanation:

gavin is correct. 

this problem is about converting 9% per year to how many percent per quarter. the rate is still the same. it only differed in the time period. so, through dimensional analysis,

9% per year  × (1 year / 4 quarters) = 2.25% per quarter

if he was asked to convert 9% per year to how many percent per quarter  compounded quarterly, then you will not simply divide by four. this is because compounding is not linear.

hope this , have a good day. c;