Formula for amount for compound interest:
Amount, A = P(1 + r/100)^n
Where r is rate, P is principal, and n is the number of years.
P = 2000, r = 5, n = t years.
A = 2000( 1 + 5/100)^t
A = 200(1+0.05)^t
A = 2000(1.05)^t
A(t) = 2000(1.05)^t
Yes it is correct. You plotted the slope and initial rate value correctly and found the
point of intersection.
Step-by-step explanation:
area = ( base 1 + base 2 ) ÷ 2 x height
50 = ( 10 + 15) ÷2 x height
50 ÷ 12.5 = height
height = 4
remember that
![x^{\frac{a}{b}}=\sqrt[b]{x^a}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Ba%7D%7Bb%7D%7D%3D%5Csqrt%5Bb%5D%7Bx%5Ea%7D)
also 
and 
so
first one, that one is clearly not equal since 0.25≠4
2nd one, 0.25=1/4, so 
, which matches
3rd one, ![\sqrt[3]{16}=\sqrt[3]{4^2}=4^{\frac{3}{2}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B16%7D%3D%5Csqrt%5B3%5D%7B4%5E2%7D%3D4%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D)
, which matches
4th one ![(\sqrt[3]{4})^2=(4^{\frac{1}{3}})^2=4^{\frac{2}{3}}](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B4%7D%29%5E2%3D%284%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29%5E2%3D4%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D)
which matches
answer is 
