She should invest $30000 in the 9% fund and $10000 in the 13% fund.
<u><em>Explanation</em></u>
Suppose, the amount of investment at 9% rate is
dollar.
As the total amount of investment is $40000 , so the investment at 13% rate will be: ![(40000-x) dollar](https://tex.z-dn.net/?f=%2840000-x%29%20dollar)
So, the amount of earnings per year from 9% fund
dollar
and the amount of earnings per year from 13% fund
dollar.
Given that, the <u>total earnings per year is $4000</u>. So the equation will be......
![0.09x+0.13(40000-x)=4000\\ \\ 0.09x+5200-0.13x=4000\\ \\ -0.04x=4000-5200\\ \\ -0.04x= -1200\\ \\ x= \frac{-1200}{-0.04}=30000](https://tex.z-dn.net/?f=0.09x%2B0.13%2840000-x%29%3D4000%5C%5C%20%5C%5C%200.09x%2B5200-0.13x%3D4000%5C%5C%20%5C%5C%20-0.04x%3D4000-5200%5C%5C%20%5C%5C%20-0.04x%3D%20-1200%5C%5C%20%5C%5C%20x%3D%20%5Cfrac%7B-1200%7D%7B-0.04%7D%3D30000)
So, the amount of investment at 9% fund is $30000 and the amount of investment at 13% fund = ($40000- $30000)= $10000
Answer:
(s/t)(100%)
Step-by-step explanation:
Represent salaries by s and total expenses by t. Then the fraction of total expenses allocated to salary is
s
------
t
and so the percentage of total expenses which is allocated to salary is
(s/t)(100%)
Marguerite is going to need 4 pieces of wood because...
1 piece= 6m which =600cm
She needs 78 pieces of 29cm78x29=2262
then divide 2262 by 600 and that gives you 3.77.
You cant have 3.77 pieces of wood so you have to round to 4.
9514 1404 393
Answer:
- 1,563.5 in³
- 904.8 yd³
- 2,144.7 mm³
- 1,288.2 cm³
- 434.9 in³
Step-by-step explanation:
The formula for the volume of a sphere is ...
V = (4/3)πr³
When you have several of these calculations to do, it is convenient to let a graphing calculator or spreadsheet do them. A spreadsheet can do the rounding for you, too. The results are attached. The units are the cube of the units of the radius.
<u><em>Example calculation</em></u>:
(4) Radius = diameter/2 = 13.5 cm/2 = 6.75 cm
V = (4/3)π(6.75 cm)³ = 4.18879 × 307.547 cm³ = 1288.2 cm³
Note that the constant (4/3)π ≈ 4.18879 remains the same for each calculation. All you need to do is multiply that by the cube of the radius.
<span>Yes, there will be a total of 6 distance markers that are placed at the same location as one of the other items. At 25% through the race there will be a water station and distance marker. At 40% through the race there will be another water station and distance marker. At 50% there will be a viewing station and two distance markers. At 60% there will be a water station and a distance marker. At 80%, another water station and distance marker. And finally, at 100% through the race there will be a water station, viewing station and two distance markers.</span>