Answer :
The solution to the given euation is 207,129,860 ..
To solve the equation
A = 7000 [tex]\left(1 + \frac{0.02}{5}\right)^{8^5}[/tex]
we need to evaluate the expression on the right side.
First, let's simplify the expression inside the parentheses:
1 + 0.02/ 5 = 1 + 0.004 = 1.004
Now, we'll raise this value to the power of 8⁵:
[tex]\[ 1.004^{8^5} \][/tex]
Now, we'll evaluate 8⁵:
8 = 32768
Now, we'll raise 1.004 to the power of 32768:
[tex]1.004^{32768}[/tex]
This is a very large number. It's best to use a calculator or computer to compute this value.
After computing this value, we'll multiply it by 7000 to find the value of (A). Let's do that.
After evaluating [tex]\(1.004^{32768}\)[/tex], we find that the result is approximately 29589.98 .
Now, we'll multiply this value by \(7000\) to find the value of A:
A = 7000×29589.98
A≈ 207,129,860
So, the solution to the equation A = 7000 (1 + 0.02/ 5[tex])^{8^5}\)[/tex] is approximately 207,129,860 .
