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bezimeni [28]
3 years ago
13

mat deposited $2,000.00 in the bank. if the rate of simple interest was 10%, what was the amount of money mat had in the bank af

ter 5 years if he made no withdrawals
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
8 0
Principal amount of money deposited by Mat in the bank = $2000
Rate of simple interest given by the bank = 10%
Number of years for which the money is kept in the bank = 5 years
As no money was withdrawn from the account, so
Amount after 5 years = Principal [1 + (Rate * Time)]
                                  = 2000 [ 1 + (10/100) * 5]
                                  = 2000 [ 1 + (1/2)]
                                 = 2000 * (3/2)
                                 = 1000 * 3
                                 = 3000 dollars
So the amount of money made by Mat after 5 years will be $3000.00
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One number is 8 more than another number, and their sum is 16. What are the 2 numbers?
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Answer:

x = 12

y = 4

Step-by-step explanation:

x + y = 16

x - y = 8

y + 8 = x

Replace x with y + 8 in the new equation

8 + 2y = 16 ----> we can minus 8 on both sides

2y = 8 -----> divide both sides by 2

y = 4

Now for the x value

x + 4 = 16 ----> minus 4 on both sides

x = 12

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A scientist needs 10 L of a solution that is 60% acid. She has a 50% acid solution and a 90% acid solution she can mix together
dybincka [34]

Allegation is a method to find the ratio in which two or more indignant are mixed to produce a mixture or solution.

The equation represents the total liters of acid that are needed is,

0.5x+0.9y=6

Thus the option 3 is the correct option.

<h3>What is allegation?</h3>

Allegation is a method to find the ratio in which two or more indignant are mixed to produce a mixture or solution.

Given information-

A scientist needs 10 L of a solution that is 60% acid.

The percentage of two acid solution are 50% and 90%.

Variable<em> x</em><em> </em>represent the number of liters of the 50% solution.

Variable<em> y </em>represent the number of liters of the 90% solution.

Quantity of acid from 50% solution is 0.5x liters, and quantity of acid from 90% solution is 0.9x liters.

As the scientist needs 10 L of a solution that is 60% acid. Therefore the quantity of acid in 60 percent acid solution is,

a=10\times\dfrac{60}{100} \\a=6

Thus 6 liters of acid required by the scientist. As to get the 6 liters of acid from 50% and 90 percent solution, we need to add the amount of acid in these solutions.Thus,

0.5x+0.9y=6

This is the required equation.

Hence the equation represents the total liters of acid that are needed is,

0.5x+0.9y=6

Thus the option 3 is the correct option.

Learn more about the mixture and allegation  here;

brainly.com/question/24372098

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Can someone tell me if it’s correct?
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Yes yes it is correct
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