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KiRa [710]
3 years ago
12

Jack divided his fortune of 92,000 into 8 equal portions.He gave 4 portions to his wife , 1 portion to his son and divided the r

emaining portions equally among 5 charities. How much more money did his son get than each charity?
Mathematics
1 answer:
AleksAgata [21]3 years ago
5 0

Answer:

Step-by-step explanation:

Given that Jack divided his fortune of 92,000 into 8 equal portions.He gave 4 portions to his wife , 1 portion to his son and divided the remaining portions equally among 5 charities.

The portion son gets = 1/8 of 92000 = 11500 $

Charity on the whole gets = 3 portions = 3/8 *92000 = 34500$

Each charity gets = 34500/5 = 6900$

Thus we find son gets 11500 dollars while each charity gets 6900 dollars.

The difference = 11500-6900\\= 4600

4600 dollars he got more.

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3 years ago
Omar has decided to purchase an $11,000 car. He plans on putting 20% down toward the purchase, and financing the rest at 4.8% in
Solnce55 [7]

Answer:

The monthly payment is $262.95

Step-by-step explanation:

* Lets explain how to solve the problem

- Omar has decided to purchase an $11,000 car

- He plans on putting 20% down toward the purchase

* Lets find the value of the 20%

∵ The principal value is $11000

∴ the value of the 20% = 20/100 × 11000 = 2200

∴ He will put $2200 down

* Lets find the balance to be paid off on installments

∴ The balance = 11000 - 2200 = 8800

- He financing the rest at 4.8% interest rate for 3 years

* Lets find the rule of the monthly payment

∵ pmt=\frac{\frac{r}{n}[P(1+\frac{r}{n})^{nt}]}{(1+\frac{r}{n})^{nt}-1} , where

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- r = the annual interest rate (decimal)

- n = the number of times that interest is compounded per unit t

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∴ pmt=\frac{\frac{0.048}{12}[8800(1+\frac{0.048}{12})^{3(12)}]}{(1+\frac{0.048}{12})^{3(12)}-1}

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* The monthly payment is $262.95

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