MATHEMATICS MIDDLE SCHOOL

A bank loaned out $17,500, part of it at the rate of 10% annual interest, and the rest at 14% annual interest. The total interest earned for both loans was $2,170.00. How much was loaned at each rate?$ ______was loaned at 10% and
$______ was loaned at 14%.

Answers

Answer 1
Answer:

Answer:

$7 000 was loaned at 10 % and

$10 500 was loaned at 14 %

Step-by-step explanation:

                 Let x = amount loaned at 10 %

Then 17 500 - x = amount loaned at 14 %

                0.10x = interest on 10 % loan

0.14(17 500 - x) = interest on 14 % loan

          2170.00 = total interest

\begin{array}{rcl}0.10x + 0.14(17 500 - x) & = & 2170.00\n0.10x + 2450 - 0.14x & = & 2170.00\n2450 - 0.04x & = & 2170.00\n-0.04x & = & -280\n\nx & = & (-280)/(-0.04)\n\nx & = & \mathbf{7000}\n\n\end{array}

$7000 was loaned at 10 % and

$10 500 was loaned at 14 %

Check:

\\begin{array}{rcl}0.10* 7000 + 0.14(17 500 - 7000) & = & 2170\n700 + 0.14(10 500) & = & 2170\n700 + 1470 & = & 2170\n2170 & = & 2170\n\end{array}

OK.

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Answers

Answer:

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Carmen participated in a read-a-thon.Mr Cole pledged $4.00 per book and gave Carmen $44. How many books did Carmen read?

Answers

There are 11 books will be Carmen read.

What is mean by Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Carmen participated in a read-a-thon.

And, Mr. Cole pledged $4.00 per book and gave Carmen $44.

Now, Let number of books read by Carmen = x

Hence, We can formulate,

⇒ 4x = 44

⇒ x = 44 / 4

⇒ x = 11

Thus, There are 11 books will be Carmen read.

Learn more about the divide visit:

brainly.com/question/28119824

#SPJ3
To do this we will divide d amount of money Mr. Cole gave her to d amount of money she gets per book. den d answer will be d amount of books Carmen read. lets do it:-

44 ÷ 4 = 11
Carmen read 11 books.

CHECK OUR WORK:-

11 × 4 = 44
We were RIGHT!!!!!

So, Carmen read 11 books!!

Hope I helped ya!!!! xD 

please help me smart people!!if u are smart u will answer my problem correctly!!! let's test your mind!!!

Answers

The equation is 40 + x = y
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Answers

Answer:

y = √(x - 2) / 2

Step-by-step explanation:

y = 2x^2 + 2.....switch ur x and y and solve for y

x = 2y^2 + 2

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(x - 2) / 2 = y^2...now take the sqrt of both sides, eliminating the ^2

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The ____ is an appropriate unit to measure the capacity of the water fountain

Answers

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Answers

We set up a proportion: 80/?= 32/100

Cross multiply: 32*?= 80*100
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80 is 32% of 250.

Answer:

250

Step-by-step explanation:

Part = % * whole

80 = .32x

Solve for x

Divide on both sides coming up with:

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