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slega [8]
3 years ago
14

Jeremiah currently has an account balance of $1624.35. His initial deposit on the account was $975 and it earned 3.7% simple int

erest. How long has Jeremiah held the account
Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0

Current Account Balance = $1,624.35

Initial Deposit = $975

Interest Rate (Simple) = 3.7% simple interest

Interest Earned = Current Account Balance - Initial Deposit

⇒ Interest Earned = $1,624.35 - $975

⇒ Interest Earned = $649.35

Now the Formula for Simple Interest is:

Simple Interest = ×\frac{\text{P x R x T}}{100}, where P is the initial deposit, R is the rate of interest and T is the time period

⇒ 649.35 = \frac{\text{975 x 3.7 x T}}{100}

⇒ T = \frac{\text{649.35 x 100}}{\text{975 x 3.7}}

⇒ T = 18

Hence, Jeremiah has had the account for 18 years.

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Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together the
klasskru [66]

The rate charged per hour by each mechanic was:  x = 75 $ / hr and y = 115 $ / hr.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given;

The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours.

Together they charged a total of $3225.

For this case we have the following variables:

x be the amount of $ / hr that the mechanic obtains 1.

y be the amount of $ / hr obtained by mechanic 2.

An equation to express this would be:

x + y = 190

20x + 15y = 3225

Solving the system of equations we have:

20x + 15(190 -x) = 3225

20x + 2850 - 15x = 3225

5x = 375

x = 75

simililary

y = 190 - x

y = 115

Hence, the rate charged per hour by each mechanic was:

x = 75 $ / hr

y = 115 $ / hr

Learn more about equations here;

brainly.com/question/10413253

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6 0
2 years ago
Bailey made a pan of cornbread. she cut it into 8 equal pieces and ate 1 piece what fraction of the cornbread did bailey eat
salantis [7]

She ate 1/8 of the cornbread, and this is fully simplified as well.


3 0
3 years ago
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Write the equation of the line parallel to 2x - 6y = 12 that passes through the point ( -1, 4).​
vlada-n [284]

Answer:

y = 1/3x + 4 1/3

Step-by-step explanation:

2x - 6y = 12

First find the slope

Solve for y

Subtract 2x

2x - 6y -2x= 12-2x

-6y = -2x+12

Divide by -6

-6y/-6 =-2x/-6 +12/-6

y = 1/3 x -2

The slope is 1/3

Parallel lines have the same slope

Using the slope intercept form y = mx+b where m is the slope and b is the y intercept

y = 1/3x +b

And substituting in the point

4 = 1/3 (-1) +b

4 = -1/3 +b

Add 1/3 to each side

4 + 1/3 = b

y = 1/3x + 4 1/3

4 0
3 years ago
What is 4x-6x I need an answe
Snowcat [4.5K]

Answer:

-2x

Step-by-step explanation:

4x-6x=-2x. You need to combine like terms or subtract 6 from 4 which is -2 the you add then put the x back in

6 0
3 years ago
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5 cups to 8 cups <br> identify the percent
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5/8=x/100
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x=62.5%
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