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Mama L [17]
3 years ago
11

You want to save $20,000 to buy a new boat. You deposit $12,500 in an account earning 6.5% simple interest. After how long will

you have enough money in the account to purchase the boat?
Mathematics
1 answer:
Fittoniya [83]3 years ago
8 0

Answer:

9 years

Step-by-step explanation:

S.I = PRT/100

now since you’re aiming at $20,000 and what you deposited was $12,500, this means that you’re looking to raise 20,000-12,500 = $7,500 simple interest.

Hence, S.I = 7,500

P = 12,500

R = 6.5%

T = ?

Substituting these values into the simple interest equation:

7,500 = (12,500 * 6.5 * T)/100

T = (100 * 7,500)/(12,500 * 6.5)

T = 750000/81,250 = 9.23 approximately 9 years

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the assumption being that the first machine is the one on the left-hand-side and the second is the one on the right-hand-side.

the input goes to the 1st machine and the output of that goes to the 2nd machine.

a)

if she uses and input of 6 on the 2nd one, the result will be 6² - 6  = 30, if we feed that to the 1st one the result will be √( 30 - 5) = √25 = 5, so, simply having the machines swap places will work to get a final output of 5.

b)

clearly we can never get an output  of -5 from a square root, however we can from the quadratic one, the 2nd machine/equation.

let's check something, we need a -5 on the 2nd, so

\bf \underset{final~out put}{\stackrel{y}{-5}}=x^2-6\implies 1=x^2\implies \sqrt{1}=x\implies 1=x

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