Answer:
Step-by-step explanation:
16 x 5= 80. 80 divided by 2 (50 percent) is 40.
Answer:
54
Step-by-step explanation:
![\frac{4}{3} \pi r^{3} =12\pi \\r=\sqrt[3]{9} \\surface area 4\pi r^{2} = 4\pi (\sqrt[3]{9} )^2=54.372 (3dp)](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E%7B3%7D%20%3D12%5Cpi%20%5C%5Cr%3D%5Csqrt%5B3%5D%7B9%7D%20%5C%5Csurface%20area%204%5Cpi%20r%5E%7B2%7D%20%3D%204%5Cpi%20%28%5Csqrt%5B3%5D%7B9%7D%20%29%5E2%3D54.372%20%283dp%29)
Your answer is 7/40 or 0.175
Alright, so you have the basic formula- good.
You have the A value (400), the interest rate r (7.5% -> .075 in decimal), and the final P value (8500). So, we only need to solve for t.
8500 = (400)(1+.075)^t
/400 /400
21.25 = 1.075^t
logarithms are the inverse of exponents, basically, if you have an example like
y = b^x, then a logarithm inverts it, logy(baseb)=x
Makes sense if you consider a power of ten.
1000 = 10^3
if you put logbase10(1000), you'll get 3.
Anyways, though, to solve the problem make a log with a base of 1.075 in your calculator
log21.25(base 1.075) = t
also, because of rules of change of base (might want to look this up to clarify), you can write this as log(21.25)/log(1.075) = t
Thus, t is 42.26118551.
Rounded to hundredths, t=42.26
