Answer:
A. 31.4 in.
Step-by-step explanation:
Formula for the circumference:
C = dπ (d = 2r)
Therefore:
C = 10π
C = 10 · 3.14
C = 31.4 in.
Step-by-step explanation:
<u>Product property</u>
- If the bases are the same, you don't multiple them. However, if they are the same, you do multiple for example : (2³ * 2¹ = 2⁴.when the bases are the same) (2³ * 3¹ =6⁴. When the bases are not the same
- We add the index.
<u>Quotient</u><u> </u><u>property</u>
- Same here, if the bases are the same, they stay the way they were
- We subtract the index
<u>Power</u><u> </u><u>property</u>
- Here we multiple the index because of the bracket for example : (9²)²= 9⁴
<u>Negetive</u><u> </u><u>exponent</u><u> </u><u>property</u>
- When ever the index has a negative sign its convected to a fraction, for instance : 9¯² = 1 /9²
- Note, when it turns to a fraction th index becomes positive
The answer is 7/5. I attached the work below.
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
First graph it
#1
Maximum height is the y coordinate of vertex
Max height
#2
Time is the x coordinate of vertex
#3

x intercepts are the solutions
Take it positive
#4
put in function
- y=-16(1)+64+80=-16+144=128ft