Based on the interest rate and continuous compounding, the investment would double in value after 18.5 years.
We have given that,
investment to double at a 3 3/4% interest rate,
<h3>When will the investment double in value?</h3>
The future value using continuous compounding is:
= Amount x e ^ (rate x time)
Interest is
= 3.75%
<h3>What is the formula of an exponential function?</h3>
2 = e ^ (0.0375 x time)
In2 = 0.0375 x time
t = In2 / 0.0375
t= 18.5 years
To learn more about the compounded continuously visit:
brainly.com/question/16731646.
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The formula for volume of a sphere is V=(4pi*r^3)/3.
Plugging in 12 for r we get
V=(4pi*(12)^3)/3
V=(4pi*1728)/3
V=(6912pi)/3
V=2304pi
Round to 2 decimal places: 7238.23
Final Answer:
7238.23 cubic units.
Hope I helped :)
Answer:
Step-by-step explanation:
To calculate a+1/a, we first need to calculate for a.
a = 7 - 4 * ![\sqrt[2]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B3%7D)
square root of 3 = 1.73
a = 7 - 4 * 1.73
a = 7 - 6.9
a = 0.1
0.1 + 1 / 0.1 = 0.1 + 10 = 10.1
Now, in case 4 wasn't being multiplied with the square root of 3, and instead, it was four root of 3, I am gonna do the calculations again:
a = 7 - ![\sqrt[4]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B3%7D)
a = 7 - 1.31
a = 5.69
5.69 + 1 / 5.69 = 5.69 + 0.17 = 5.86
Hope I Helped!
<h3>Given:</h3>
<h3>Note that:</h3>
<h3>To find:</h3>
The volume of the given cone.
<h3>Solution:</h3>


Let's solve!
Substitute the values according to the formula.


<u>Therefore, the volume of the given cone is 75.36 cubic yards.</u>
Answer:
8x-y+4=0
Step-by-step explanation:
because 8x-y+4=-4+4