namdh6086

05.10.2019 • 

Mathematics

Question 1
use the future value formula to find the indicated value. fv=10,000; i=0.03; pmt=$800; n=? n= (round up to the nearest integer as needed)

question 2

acme annuities recently offered an annuity that pays 7.5 % compounded monthly. what equal monthly deposit should be made into this annuity in order to have $81,000 in 19 years?
the amount of each deposit should be $ (round to the nearest cent.)

question 3

a company estimates that it will need $87,000 in 8 years to replace a computer. if it establishes a sinking fund by making fixed monthly payments into an account paying 5.4% compounded monthly, how much should each payment be?
the amount of each payment should be $
(round to the nearest cent.)

Ответ:

kyrabrown33

05.01.2022

Mathematics

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Answer 1
The formula of the future value of annuity ordinary is
Fv=pmt [(1+r)^(n)-1)÷r]
Solve the formula for n
Fv/pmt=(1+r)^(n)-1)÷r
cross multiplication
(Fv/pmt)×r=(1+r)^(n)-1
(Fv/pmt)×r+1=(1+r)^(n)
take the log for both sides
Log ((Fv/pmt)×r+1)=n×log (1+r)
Divide each side by log (1+r)
N=[Log ((Fv/pmt)×r+1)]÷log (1+r)
Now solve to find n
N=log((10,000÷800)×0.03+1)
÷log(1+0.03)=10.77years round your answer to get 11 years

Answer 2
PMT=81,000÷(((1+0.075÷12)^(12
×19)−1)÷(0.075÷12))
=161.25

Answer 3
PMT=87,000÷(((1+0.054÷12)^(12
×8)−1)÷(0.054÷12))
=726.56

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Ответ:

hannahgrace325

05.04.2020

Mathematics

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D) 65 I believe

Step-by-step explanation:

What I did what 20 divided by 4, which gave me 5 doses per ounce. Then I multiplied 5 times 13 and that gave me 65

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