Kimberly wants to invest $3,000 in an account that earns 4% annual interest , and x dollars in an account that earns 7% so that on average, she would earn 5.5% interest from both accounts . what would be the equation?

The equation of her earnings from both of the accounts is;

120 + 0.07x = 0.055x + 165.

According to the question, Kimberly wants to invest $3,000 in an account that earns 4% annual interest, and x dollars in an account that earns 7%.

For the first account;

Fir the second account;

On the average, she would earn 5.5% interest from both accounts;

Mathematically, we have;

The equation of the relationship between the accounts is therefore;

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The linear equation that represent this situation is

(3,000+x)0.055=3,000(0.04)+x(0.07)

The value of x is $3,000

Step-by-step explanation:

Let

x > the amount invested in an account that earns 7%

we have that

4%=4/100=0.04

7%=7/100=0.07

The linear equation that represent this situation is

(3,000+x)0.055=3,000(0.04)+x(0.07)

Solve for x

165+0.055x=120+0.07x

0.07x-0.055x=165-120

0.015x=45

x=3,000

4 puzzles in 3 hours

step-by-step explanation:

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.