Jane wants to save money to buy a motorcycle. she invests in an ordinary annuity that earns 4.2% interest, compounded quarterly. payments will be made at the end of each quarter. how much money will she need to pay into the annuity each quarter for the annuity to have a total value of $7000 after 3 years?

she need to pay is $550.40

Step-by-step explanation:

given data

interest = 4.2 % compounded quarterly = 0.042 / 4 = 0.0105

future value = $7000

time = 3 year = 3 × 4 = 12 months

to find out

How much money she need to pay

solution

we will apply here formula for future value for compound quarterly

that is

future value = principal ×    .............1

put here all these value

future value = principal ×

7000 = principal ×

principal = 550.40

so she need to pay is $550.40

inequality:

620-37.4p ≥ 450

the minimum amount of packages needed to be removed from the elevator is 5.

step-by-step explanation:

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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