The geometric mean of two numbers x and y is √(xy).
So, if the geometric mean of 3 and a is 9 =>
9 = √(3a)
=> 9^2 = 3a
=> a = 9^2 / 3
a = 81 / 3
a = 27
Answer: the value of a is 27.
Cos(x) = sin(90 - x)
cos(53) = sin(90 - 53)
cos(53) = sin(37)
After 5 years, value doubles.
Hence after 5 years, value is 250 x 2 = 500
After another 5 years, value doubles.
500 x 2 = 1000
Ans: $1000
Answer:
6%.
Step-by-step explanation:
We have been given that Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156.
To find the interest rate we will use simple interest formula.

I= Interest.
P= Principal amount.
r=Annual interest rate (in decimal form).
T= Time in years.
We have been given that I=156, T=5, P=520
Upon substituting our values in above formula we will get,




Let us multiply 0.06 by 100 to convert annual interest rate in percentage.

Therefore, the annual interest rate was 6%.
If you would like to solve (n^3 - n^4) - (3n^3 - 7n^4), you can do this using the following steps:
(n^3 - n^4) - (3n^3 - 7n^4) = <span>n^3 - n^4 - 3n^3 + 7n^4 = n^3 - 3n^3 - n^4 + 7n^4 = -2n^3 + 6n^4
</span>
The correct result would be <span>-2n^3 + 6n^4.</span>