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
The answer would be: -5
Heres how you solve it!
First, change the x into a 0 so it can be removed.
y+2= -3/4*4
Now with the GCF you can reduce the numbers with 4.
y+2= -3
Then move the 2 to the other side causing it to change its sign into a negative
y= -3-2
Since -3 and -2 are both negative it would be -5
y= -5
then you are left with your answer.
Hope this helps! :3
-8 you divide and since there is a negative you add a negative
Answer:
1275
Step-by-step explanation:
The natural numbers 1, 2, 3, 4, ...... , 49, 50
The terms of natural numbers are the terms of an arithmetic sequence.
The sum to n terms of an arithmetic sequence is
• 
= 
[2a + (n- 1)d ]
where a is the first term and d the common difference
here a = 1, d = 1 and n = 50, hence
= 
[ 2 + (49 × 1) ]
= 25(2 + 49) = 25 × 51 = 1275
Answer: D ; (p - 6q)(p^2 + 6pq + 36q^2)
