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3 years ago

If you borrow $500 from a credit union at 12% annual interest and $250 from a bank at 18% annual interest, what is the effective

Mathematics

2 answers:

Gnesinka [82]3 years ago

8 0

Answer:

B. 11.85% = 12%

Step-by-step explanation:

500 * .10 + 300 * .15 = 50 + 45 = 95.

95/800 = .11875

.11875 = 11.875%

sweet [91]3 years ago

3 0

Answer:

The correct answer is A. 14%

Step-by-step explanation:

Let's find out the effective annual interest rate for both loans, this way:

1st Loan:

Amount of the loan = $ 500 Interest rate = 12% = 0.12

Total interests for the year = 500 * 0.12 = $ 60

2nd Loan:

Amount of the loan = $ 250 Interest rate = 18% = 0.18

Total interests for the year = 250 * 0.18 = $ 45

Total Interests for both loans = 60 + 45 = $ 105

Effective annual interest rate = Total interest for both loans/Amount of the loans

Effective annual interest rate = 105/750 = 0.14 = 14%

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Step-by-step explanation:

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3 years ago

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astra-53 [7]

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3 years ago

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Kobotan [32]

Answer:

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Step-by-step explanation:

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3 years ago

The sides of a triangle are x,x+1,2x-1 and its area is x root 10. Find the value of x

Marianna [84]

You can use Heron's formula to solve this problem.

 $A= \sqrt{s(s-a)(s-b)(s-c)}$ , where A is the area; a,b,с are the sides; s is the semiperimeter of the triangle
 $s= \frac{a+b+c}{2}$

According to conditions:
a = x
b = x+1
с = 2x-1

Calculate the semiperimeter:
 $s= \frac{x+x+1+2x-1}{2} = \frac{4x}{2}=2x$

Now we can compose and solve the equation according to Heron's formula:
 $\sqrt{2x(2x-x)(2x-(x+1))(2x-(2x-1))}=x \sqrt{10} \\ \sqrt{2x(x)(2x-x-1)(2x-2x+1)}=x \sqrt{10} \\ \sqrt{2x^2(x-1)(1)}=x \sqrt{10} \\ \sqrt{2x^3-2x^2}=x \sqrt{10} \ \ \ |()^2 \\ 2x^3-2x^2=10x^2 \\ 2x^3-2x^2-10x^2=0 \\ 2x^3-12x^2=0 \ \ |:2 \\ x^3-6x^2=0 \\ x^2(x-6)=0 \\ \\ x^2=0 \\ x=0 \ \ \ \O \\ or \\ x-6=0 \\ x=6$

As a result, x = 6 is your answer.

I hope this helped.

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3 years ago