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Gelneren [198K]
3 years ago
13

$13,000 was borrowed from two sources, one that charges 15% simple interest and the other that charges 10% simple interest. If t

he total interest at the end of 1 year was $1750, how much money was borrowed from each source?
Mathematics
1 answer:
guajiro [1.7K]3 years ago
5 0

9514 1404 393

Answer:

  • $9,000 at 15%
  • $4,000 at 10%

Step-by-step explanation:

Let x represent the amount borrowed at 15%. Then the amount borrowed at 10% is (13000-x). The interest at the end of the year is ...

  0.15(x) + 0.10(13000 -x) = 1750

  0.05x = 1750 -1300 . . . . . . . . . . . . simplify, subtract 1300

  x = 450(20) = 9000 . . . . . . . . . . multiply by 20

$9,000 was borrowed at 15%; $4,000 was borrowed at 10%.

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Please help! Question in image below:<br> Answers also below:
antiseptic1488 [7]

Answer:

11, 18, 25, 32, .....

Option D

Step-by-step explanation:

The formula for the nth term of an AP is a+(n-1)d

a+(n-1)d=a+(n-1-1)d+7

a+nd-d=a+nd-2d+7

d=7

As the common difference is 7.

The only option given which is in an AP is the 4th option

8 0
3 years ago
©
Liula [17]

Answer:

3000

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
(3m±4/5n)2<br>solve this question<br>​
sukhopar [10]

Answer:

(3m-4/5)2  

Final result :

 (15m - 4)2

 ——————————

     52    

Step by step solution :

Step  1  :

           4

Simplify   —

           5

Equation at the end of step  1  :

        4

 (3m -  —)2

        5

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

          3m     3m • 5

    3m =  ——  =  ——————

          1        5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3m • 5 - (4)     15m - 4

————————————  =  ———————

     5              5    

Equation at the end of step  2  :

 (15m - 4)

(—————————)2

     5    

Step  3  :

Final result :

 (15m - 4)2

 ———

     52    

Step-by-step explanation:

5 0
3 years ago
In a litter of 7 kittens, each kitten weighs less than 3.5 ounces. Find all the possible values of the combined weights of the k
Dima020 [189]

Let's use w to symbolize the weight of kittens. Given by the statement "each kitten weighs less than 3.5 ounces" we know that

1*w < 3.5

We can multiply both sides of the inequality by 7 to determine the total weights

7*(1*w) < 7*(3.5)

7*w < 24.5

Since there are 7 kittens, the combined weight of the kittens is 7w, therefore the above expression could be read as "The combined weight of the kittens is less than 24.5 ounces"

6 0
3 years ago
a park is 4 times as long as it is wide. if the distance around the park is 12.5 kilometers, what is the area of the park?
blsea [12.9K]
So, first, what are the two sides?

let's call then x and y

we know that 2(x+y)=12.5 (that's the distance around)

so that means that x+y=6.25 (I just divided both by 2)

now, x=4y (from "4 times as long as it is wide")

so we can substitute:

x+4x=6.25

5x=6.25

x=1.25

so one side, is 1.25 and the other will be 1.25*4=5

and for the area we multiply the two:

1.25*5=6.25 square kilometers, and this is the answer!
7 0
3 years ago
Read 2 more answers
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