Answer:
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First, you formulate a ratio of Audrey's work time to work done. In this case, 3/5 hour : 2/5 square yards. Expressing and simplifying that into a fraction would yield:
3/5 ÷ 2/5 = 3/5 * 5/2 = 3/2
We use this ratio to determine the sq yards she could paint in an hour:
1 hour * (1/(3/2) = 2/3 square yards
I hope I was able to help you with this question. Have a good day.
Answer: c
Step-by-step explanation:
Answer:
Step-by-step explanation:
1/4/3=1/4*1/3=1/12
Answer:
The correct answer is a. $2275.28; b. 17.04 years
Step-by-step explanation:
Principal to be invested is $2000
Interest rate (r) per year is 6.5 quarterly.
Interest is calculated compoundly.
a. Time (t) for the investment is given to be 2 years.
Amount after two years is = Principal ×
where the value of n is 4.
⇒ A = 2000 × ![( 1+ \frac{6.5}{400}) ^ {8}](https://tex.z-dn.net/?f=%28%201%2B%20%5Cfrac%7B6.5%7D%7B400%7D%29%20%5E%20%7B8%7D)
⇒ A = $2275.28.
b. Now the value of A is given to be triple the principal = $ (3 × 2000).
Therefore we need to find the value of t.
⇒ 3 × 2000 = 2000 × ![( 1+ \frac{6.5}{400}) ^ {4t}](https://tex.z-dn.net/?f=%28%201%2B%20%5Cfrac%7B6.5%7D%7B400%7D%29%20%5E%20%7B4t%7D)
⇒ ㏑ 3 = 4t × ㏑ ( 1.01625)
⇒ t = 17.04
Therefore it would take 17.04 years for the principal to triple.