Arestaurant needs $540,000 in 6 years for an addition. find the total interest earned if payments are made at the end of each semiannual period with interest at 8% compounded semiannually. a. $108,756 b. $73,612.80 c. $343,354 d. $35,937

A

Step-by-step explanation:

A=pmt [((1+r/n)^(nt)-1)÷(r/n)]

A future value 540000

Pmt semiannual payment ?

R interest rate 0.08

N semiannual 2

T time 6 years

Pmt =540,000÷(((1+0.08÷2)^(2×6)−1)÷(0.08÷2))=35,938.17

Now find total payments

35,938.17×2×6=431,258.04

interest earnd

540,000−431,258.04

=108,741.96

Which approximatly equals

$108,756

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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step-by-step explanation:

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