Answer:
0.7 hours
Step-by-step explanation:
Given that Irina was able to make the same distance from work to home in 0.4 of an hour at 27 miles per hour, we can use this rate and time to find the distance she travels to and from work using the general formula:
d = rt, where d=distance, r = rate and t = time
d = 27(0.4) = 10.8 miles
Since the distance from Irina's home to work is 10.8 miles, we can again use the formula 'd = rt' to find the time it takes her to bike to work at a rate of 16 miles per hour and solving for time, 't':
10.8 = (16)t
t = 0.7 hours
Answer: 1/16
0.0625
Step-by-step explanation:
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:
cm²
Step-by-step explanation:
Surface area of the composite figure = Surface area of the lateral surfaces of the given pyramids
Lateral surface area of a square pyramid = 4
Therefore, lateral surface area of the pyramid
= ![4[\frac{1}{2}(24)(5)]](https://tex.z-dn.net/?f=4%5B%5Cfrac%7B1%7D%7B2%7D%2824%29%285%29%5D)
Now lateral surface area of the composite figure = 2(lateral surface area of two pyramids)
= ![8[\frac{1}{2}(24)(5)]](https://tex.z-dn.net/?f=8%5B%5Cfrac%7B1%7D%7B2%7D%2824%29%285%29%5D)
Therefore, Expression for the surface area of the given composite figure is,
cm²
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