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miskamm [114]
4 years ago
7

Laura borrowed a total of $22,000 from two different banks to start a business. One bank charged the equivalent of 4% simple int

erest, and the other charged 5.5% interest. If the total interest after 1 year was $910, determine the amount borrowed from each bank.
Mathematics
2 answers:
Alina [70]4 years ago
6 0

Answer: Amount borrowed from 4% rate is $20000 and amount borrowed from 5.5% rate is $2000.

Step-by-step explanation:

Since we have given that

Total borrowed amount = $22,000

Amount borrowed at 4% rate of interest be 'x'.

Amount borrowed at 5.5% rate of interest be '22000-x'.

Number of years = 1

As we know the formula for "Simple interest":

Simple\ interest=\dfrac{P\times R\times T}{100}\\So,\\\\\dfrac{x\times 4\times 1}{100}+\dfrac{(22000-x)\times 5.5\times 1}{100}=910\\\\\dfrac{4x}{100}+\dfrac{121000-5.5x}{100}=910\\\\4x+121000-5.5x=910\times 100\\\\-1.5x=91000-121000\\\\-1.5x=-30000\\\\x=\dfrac{30000}{1.5}=\$20000

So, Amount borrowed from 4% rate is $20000 and amount borrowed from 5.5% rate is $2000.

Georgia [21]4 years ago
4 0
It is 1million cas in not really that smart I wish I was smarter
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3 years ago
A 9 3/5 inch long pipe is cut into eight equal length pieces. How long is each piece?
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1.2

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9 3/5 divided by 8


3 0
4 years ago
Marty made a $220 bank deposit using $10 bills and $5 bills. She gave the teller a total of 38 bills, how many $5 bills were in
Luda [366]

ANSWER: 32 five-dollar bills

======

EXPLANATION:

Let x be number of $5 bills

Let y be number of $10 bills

Since we have total of 38 bills, we must have the sum of x and y be 38

x + y = 38 (I)

Since the total amount deposited is $220, we must have the sum of 5x and 10y be 220 (x and y are just the "number of" their respective bills, so we multiply them by their value to get the total value):

5x + 10y = 220 (II)

System of equations:

\left\{ \begin{aligned} x + y &= 38 && \text{(I)} \\ 5x + 10y &= 220 && \text{(II)} \end{aligned} \right.

Divide both sides of equation (II) by 5 so our numbers become smaller

\left\{ \begin{aligned} x + y &= 38 && \text{(I)} \\ x + 2y &= 44 && \text{(II)} \end{aligned} \right.

Rearrange (I) to solve for y so that we can substitute into (II)

\begin{aligned} x + y &= 38 && \text{(I)} \\ y &= 38 - x \end{aligned}

Substituting this into equation (II) for the y:

\begin{aligned} x + 2y &= 44 && \text{(II)} \\ x + 2(38 - x) &= 44\\ x + 76 - 2x &= 44 \\ -x &= -32 \\ x &= 32 \end{aligned}

We have 32 five-dollar bills

======

If we want to finish off the question, use y = 38 - x to figure out number of $10 bills

y = 38 - 32 = 6

32 five-dollar bills and 6 ten-dollar bills

7 0
3 years ago
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26.69 square meters

Step-by-step explanation:

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A= 8.5(3.14)

A=26.69 meters

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On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to t
yanalaym [24]

Answer:

Option C.

Step-by-step explanation:

A dashed straight line has a negative slope and goes through (0, 2) and (4, 0).

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y

We need find the point which is a solution to the given linear inequality.

Check the given inequality for point (2, 3).

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This statement is false. Option 1 is incorrect.

Check the given inequality for point (2, 1).

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Check the given inequality for point (-1,3).

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Therefore, the correct option is C.

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3 years ago
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