An actor invests some money at 7%, and $42000 more than four times the amount at 11 %. the total annual interest earned from the investment is $59190. how much did he invest at each amount? use the six-step method.

he invested $ at 7% and $
at 11%.

The answer is that the actor invested $ 107,000 at 7% and $ 470,000 at 11%.

Step-by-step explanation:

1. Let's check the information provided to us to answer the problem correctly:

Two different interest rates from the investments:

7% from some money

11% from US$ 42,000 + four times the amount invested at 7%

Total annual interest earnings from both investments = US$ 59,190

2. How much did the actor invest at each amount? Use the six-step method.

x = Money invested at 7%

4x + 42,000 = Money invested at 11%

7% = 0.07, 11% = 0.11

3. Now, we can elaborate our equation to solve for x, this way:

0.07x + 0.11 (4x + 42,000) = 59,190

0.07x + 0.44x + 4,620 = 59,190

0.51x = 59,190 - 4,620

0.51x = 54,570

x = 54,570/0.51 = 107,000

4. Now we can find the amount the actor invested at 11%, this way:

4x + 42,000 = Money invested at 11%

4 * 107,000 + 42,000 = Money invested at 11%

428,000 + 42,000 = Money invested at 11%

470,000 = Money invested at 11%

5. Let's prove that x = 107,000 is correct, this way:

0.07x + 0.11 (4x + 42,000) = 59,190

0.07 * 107,000 + 0.11 * (4 * 107,000 + 42,000) = 59,190

7,490 + 0.11 * 470,000 = 59,190

7,490 + 51,700 = 59,190

59,190 = 59,190

We proved that x = 107,000 is correct.

6. The answer is that the actor invested $ 107,000 at 7% and $ 470,000 at 11%.

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98

i dont know men

step-by-step explanation: