Please help!! It’s due @ midnight

How much should Marc deposit weekly into an account at 8% compounded weekly in order to have
$4500 available for a round trip plane ticket, hotel, and spending money for a trip to Sweden in 2 years?

Please give step by step!

Marc should deposit $39.87 weekly.

Step-by-step explanation:

We would apply the formula for determining future value involving deposits at constant intervals. It is expressed as

S = R[{(1 + r)^n - 1)}/r][1 + r]

Where

S represents the future value of the investment.

R represents the regular payments made(could be weekly, monthly)

r = represents interest rate/number of interval payments.

n represents the total number of payments made.

From the information given,

S = $4500

Assuming there are 52 weeks in a year, then

r = 0.08/52 = 0.0015

n = 52 × 2 = 104

Therefore,

4500 = R[{(1 + 0.0015)^104 - 1)}/0.0015][1 + 0.0015]

4500 = R[{(1.0015)^104 - 1)}/0.0015][1.0015]

4500 = R[{(1.169 - 1)}/0.0015][1.0015]

4500 = R[{(0.169)}/0.0015][1.0015]

4500 = R[112.67][1.0015]

4500 = 112.839R

R = 4500/112.839

R = 39.87

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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