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Paha777 [63]
3 years ago
10

Your company took a start up loan at 5% interest. You also took a capital improvement loan for 7% interest. The start up loan is

eight times larger than the improvement loan. If the interest paid on both loans for one year is $9,400, how much did the company borrow for each loan?
Mathematics
1 answer:
snow_tiger [21]3 years ago
6 0
To answer the question above, we let 8x be the amount loaned with 5% interest and x be the amount loaned at 7% interest. The amount of interest is calculated through the equation,
                                     I = amount x rate 
The sum of these interest should be 9,400. The equations that would best represent the given scenario are,
              (8x)(0.05) + x(0.07) = 9400
The value of x from the given equation is,
                              x = 20,000
Therefore, the company loaned $160,000 with 5% interest and $20,000 with 7% interest. 
                               
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Sammy has a rectangular doormat on her porch. The mat is \dfrac45\text{ m} 5 4 ​ mstart fraction, 4, divided by, 5, end fraction
Otrada [13]

Answer:

Area of the rectangular doormat = 2/5 m²

Step-by-step explanation:

Length of the rectangular doormat = 4/5m

Width of the rectangular doormat = 1/2m

What is the area of the doormat?

Area of a rectangle = length × width

= 4/5m × 1/2m

= (4×1) / (5×2)

= 4 / 10

= 2/5 m²

Area of the rectangular doormat = 2/5 m²

6 0
3 years ago
What is this problem?<br><br>9+6÷(8-2)
GenaCL600 [577]

Hey there! Welcome to Brainly.

Let's solve using order of operations (PEMDAS), which is Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

First, we solve the parentheses.

9+6÷6

Now we take care of the division.

9+1

We add.

10

Therefore, your answer is 10

I hope this helps!

5 0
3 years ago
Simplificar as expressões<br><br> 7√32 - 5√2 + √8<br><br> 2√150 - 4√54 + 6√24
SIZIF [17.4K]
We try to represent each number inside the square root as a product of a square and another number.

a) 7√32 - 5√2 + √8

√32  = √(16 *2) = √16 * √2  = 4* √2 =  4√2

√8 = √(4 *2) = √4 * √2  = 2* √2 = 2√2

7√32 - 5√2 + √8 = 7*(4√2) - 5√2 + 2√2 =
      
                         = 28√2  - 5√2 + 2√2          Factorize out √2

                           = (28 - 5 + 2)√2  

                          =  25√2      

b)      2√150 - 4√54 + 6√24       

√150 = √(25 * 6) = √25 * √6 = 5*√6 = 5√6

√54 = √(9 * 6) = √9 * √6 = 3*√6 = 3√6

√24 = √(4 * 6) = √4 * √6 = 2*√6 = 2√6


2√150 - 4√54 + 6√24 = 2*(5√6) - 4*(3√6) + 6*(2√6)

                                = 2*5√6 - 4*3√6 + 6*2√6

                                = 10√6  - 12√6 + 12√6        Factorize √6

                               =  (10 - 12 + 12)√6

                               =  10√6
7 0
3 years ago
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Therefore, this would lead to sampling bias and thus the sample is biased.

Read more at; brainly.com/question/12637861

8 0
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