Answer:
9% fund: $
210,000
13% fund: $70,000
Step-by-step explanation:
As she wants to have a $28,000 annual return for her $280,000 investment, she is expecting a return rate of 10%:
If we call x the proportion of the capital in the 9% fund, then (1-x) is the proportion of the capital in the 13% fund,and the return of the combination has to be the expected return of 10%:
Then, we know that 75% of the capital should be invested in the 9% fund and 25% in the 13% fund.
This correspond to a capital of:
9% fund: 0.75*$280,000 = $
210,000
13% fund: 0.25*$280,000 = $70,000
Answer: 120 km^2
Explanation:
S = (9x3) + (9x4) + (4x3)2/2 + (9x5)
S= 27 + 36 + 12 + 45
S = 120
Answer: -1, 0, and 1
Step-by-step explanation: -1 is an integer and all integers are rational numbers so -1 is rational.
0 is also an integer and all integers are rational numbers. Therefore, 0 is considered a rational number.
1 is a natural number and all natural numbers are rational numbers. Therefore, 1 would be a rational number.
<h3>
Answer: 62</h3>
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Explanation:
18 people get off, and 21 get on
We can write the 18 as -18 to indicate a loss of 18 people. The 21 as +21 to mean we gained 21 people.
The net change is -18+21 = +3 or simply 3.
After the first stop, 3 more people are on the train compared to before reaching this stop.
If x is the number of people before the stop, then x+3 is the number of people after the stop. Set this equal to 65 and solve for x.
x+3 = 65
x = 65-3
x = 62 people were on the train to begin with.
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Check:
62 people to start off
62-18 = 44 people after the 18 people get off
44+21 = 65 people after the 21 new people get on
The answer is confirmed.
