The amount for the investment of $6000 will be a.$6369 b. $6090 and c.$6030.
<h3>What is compound interest?</h3>
Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-
![A=P[1+\dfrac{r}{n}]^{nt}](https://tex.z-dn.net/?f=A%3DP%5B1%2B%5Cdfrac%7Br%7D%7Bn%7D%5D%5E%7Bnt%7D)
a) The amount in the bank after 6 years if interest is compounded annually.
![A=P[1+\dfrac{r}{1}]^{t}\\\\\\A=6000[1+\dfrac{0.01}{1}]^{ 6}](https://tex.z-dn.net/?f=A%3DP%5B1%2B%5Cdfrac%7Br%7D%7B1%7D%5D%5E%7Bt%7D%5C%5C%5C%5C%5C%5CA%3D6000%5B1%2B%5Cdfrac%7B0.01%7D%7B1%7D%5D%5E%7B%20%206%7D)
A= $6369
b) The amount in the bank after 6 years if interest is compounded quarterly.
![A=P[1+\dfrac{r}{4}]^{4t}\\\\\\A=6000[1+\dfrac{0.01}{4}]^{4\times 6}](https://tex.z-dn.net/?f=A%3DP%5B1%2B%5Cdfrac%7Br%7D%7B4%7D%5D%5E%7B4t%7D%5C%5C%5C%5C%5C%5CA%3D6000%5B1%2B%5Cdfrac%7B0.01%7D%7B4%7D%5D%5E%7B4%5Ctimes%206%7D)
A= $6090
c ) The amount in the bank after 6 years if interest is compounded monthly.
![A=P[1+\dfrac{r}{12}]^{4t}\\\\\\A=6000[1+\dfrac{0.01}{12}]^{12\times 6}](https://tex.z-dn.net/?f=A%3DP%5B1%2B%5Cdfrac%7Br%7D%7B12%7D%5D%5E%7B4t%7D%5C%5C%5C%5C%5C%5CA%3D6000%5B1%2B%5Cdfrac%7B0.01%7D%7B12%7D%5D%5E%7B12%5Ctimes%206%7D)
A=$6030
Hence the amount for the investment of $6000 will be a.$6369 b. $6090 and c.$6030.
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Answer:
Hey what'sup?
You need to dig a little in, for what it's actually meaning
Here the total is 720 right?
Which came from the materials and the labors work in hourly basis
So it's like
Cost of the material + no of hours = bill
We don't know what the no of hours are, so let's assume it as 'x'
Hence the required equation is
375+35*x=720
35*x = 720-375
35*x = 345
Therefore x=345/35 =9.8
Therefore they worked for 9.8 hours or approximately 10 hours
Peace out
Because if the number was rational then we can tell by looking at the numbers. The rational number should be one number or a repeating decimal or terminating number. plus because if a number was like this 5.7696... that means its irrational because we dont know the end of the number. The rational numbers are terminating numbers or either decimal or repeating numbers because we know the end of those numbers.
The answer is -37, Hope that helped!
Answer:
2054
Step-by-step explanation:
The equation for the growth of people = 308.7(1097)^x
The equation for the growth of vehicles = 246(1155)^x
If the number of both are equal tham
308.7(1097)^x=246(1155)^x
Dividing both sides by 246
1.254878(1097)^x=(1155)^x
Dividing both sides by (1097)^x
1.254878=(1155÷1097)^x
X=4.406 decades
X=44 years