To save for retirement, karla harby put $675675 each month into an ordinary annuity for 1313 years. interest was compounded monthly. at the end of the 1313 years, the annuity was worth $155 comma 514155,514. what annual interest rate did she receive?

5.7% per year

Step-by-step explanation:

For an ordinary annuity, the final amount can be calculated by:

Where A is the final amount, R is the value invested monthly, r is the annual interest, n is the number of months in a year, and t the time in years. So:

(\frac{(1+\frac{r}{12} )^{156}-1}{\frac{r}{12} }) = 230.39

(\frac{(1+\frac{r}{12} )^{156}-1}{r}) = 19.2

Solving that in a graphic calculator,

r = 0.057

r = 5.7% per year

To determine how many miles a car needs to be driven, during a one-day car rental, in order for the total cost to be the same at both car rental companies, you can use the two functions, C(m) and T(m), and set them equal to each other. [Since C(m) and T(m) represents the "total cost of the car rental for one day", and you want them to be the same for both car rental companies, you can set them equal to each other.] The number of miles a car needs to have driven in order for the total cost to be the same for both car rental companies is 273.3333 miles.

(Idk how/if to round 273.33333 repeating, or if you can use pronouns in your explanation "you")

C(m) = T(m)

0.10m + 41 = 0.25m    Isolate/get the variable "m" by itself in the equation to find its value. Subtract 0.10m on both sides

0.10m - 0.10m + 41 = 0.25m - 0.10m

41 = 0.15m     Divide 0.15 on both sides to get "m" by itself

273.333333333333333333...... = m

C(41/0.15) = $68.3333333333

T(41/0.15) = $68.3333333333