Answer:
Number of year to get $10,000 as interest = 7.5 year (Approx)
Step-by-step explanation:
Given:
Initial investment = $20,000
Interest on investment = $10,000
Rate of interest = 5.6% = 0.056
Find:
Number of year to get $10,000 as interest:
Computation:
![Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44](https://tex.z-dn.net/?f=Interest%5C%20on%5C%20investment%20%3D%20Initial%5C%20investment%5B%281%2Br%29%5En-1%5D%5C%5C%5C%5C10%2C000%20%3D%2020%2C000%5B%281%2B0.056%29-1%5D%5C%5C%5C%5C0.5%3D%281.056%29%5En-1%5C%5C%5C%5C1.5%20%3D%281.056%29%5En%5C%5C%5C%5Cn%3D7.44)
Number of year to get $10,000 as interest = 7.44
Number of year to get $10,000 as interest = 7.5 year (Approx)
5600.014
= 5000 + 600 + 0.010 + 0.004
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To get the amount you need to subtract from 840, just turn 5% into a decimal, which is 0.05, then just multiply 0.05 by 840 and subtract that number from 840
To find what 86% of 40 is, first convert 86% to a decimal, then multiply that decimal by 40.
86% = 0.86
0.86 • 40 = 34.4
So 86% of 40 is 34.4.
Answer: it will take 2.33 hours for the snow fall in both of the towns be equal.
Step-by-step explanation:
Let x represent the number of hours that it will take for the snow fall in both of the towns be equal.
A town accumulated 2 inches of snow and the depth is increasing by 6 inches every hour. This means that in x hours, the depth of snow in the town would be
6x + 2
A nearby town has accumulated 9 inches of snow and the depth is increasing by 3 inches every hour. This means that in x hours, the depth of snow in the town would be
3x + 9
For the snow fall in both of the towns be equal, the number of hours would be
6x + 2 = 3x + 9
6x - 3x = 9 - 2
3x = 7
x = 7/3 = 2.33 hours