Answer:
- $5000 at 10%, $10000 at 12% and 10000 at 16%
Step-by-step explanation:
- <em>One part of $ 25,000 is invested at 10% interest, another part at 12%, and the rest at 16%. The total annual income from the three investments is $ 3,200. Also, the income from the investment at 16% is equal to the income from the other two investments combined. How much was invested at each interest rate?</em>
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Let the parts be x, y and z
<u>As per given we get below system of equations:</u>
- x + y + z = 25000
- 0.1x + 0.12y + 0.16z = 3200
- 0.1x + 0.2y = 0.16z
<u>Substitute 0.1x + 0.2y in the second equation:</u>
- 0.16z + 0.16z = 3200
- 0.32z = 3200
- z = 3200/0.32
- z = 10000
<u>Now we have:</u>
- x + y + 10000 = 25000 ⇒ x + y = 15000
and
- 0.1x + 0.12y + 0.16*10000 = 3200 ⇒ 0.1x + 0.12y = 1600
<u>Multiply the second equation and then subtract the first one:</u>
- 10(0.1x + 0.12y) = 10(1600) ⇒ x + 1.2y = 16000
- x + 1.2y - (x + y) = 16000 - 15000
- 0.2y = 1000
- y = 10000
Then
<u>So the parts are:</u>
- $5000 at 10%, $10000 at 12% and 10000 at 16%
Area:LW
8*15=180
<span>8 is the length,15 is the Width,17 is the hieght </span>
No:
At first, it might appear that the number with a leftmost digit of 8 should be bigger than one with a left most digit of 3 because so long as the 3 and 8 have the same digit position, this will be the case;
The same applies if the 3 is at a lower digit position than the 8;
But, there is nothing in the statement to suggest that the 8 has the higher digit position, i.e. the numbers could be 3000 and 800;
In this case, the largest number has the leftmost digit of 3;
Therefore, you cannot tell which number will be bigger without any other information.
Answer:
If I read your question correctly, then the answer is 54/5.
Step-by-step explanation:
6 ÷ 5/9 Orginial Equation
6/1 x 9/5 Multiply by the Reciprocal
54/5
