Answer:
i wish i could help but its kind of over a minute but the answer is C
ratio of voljumes = 3^3 : 4^3 or 27:64
small/large = 27 / 64
vol of smaller = 27 * 320 / 64
=135
F(x) = -3x + 7
y = -3x + 7
x = -3y + 7
-3y + 7 = x
-3y = x - 7
y = -1/3x + 7/3
f^-1(x) = -1/3x + 7/3
Answer: it will take 14 years
Step-by-step explanation:
A savings account is started with an initial deposit of $600. This means that the principal P is
P = 600
It was compounded annually. This means that it was compounded once in a year. Therefore,
n = 1
The rate at which the principal was compounded is 2.1%. So
r = 2.1/100 = 0.021
The duration of time that for which the money stayed in the account is t years. So
Time = t
The formula for compound interest is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years. Therefore,
a) the equation to represent the amount of money in the account as a function of time in years would be
A = 600 (1+0.021/1)^1×t
A = 600 (1.021)^t
b) the amount of time it takes for the account balance to reach $800 would be
800 = 600 (1.021)^t
Dividing both sides of the equation by 600, it becomes
1.33 = (1.021)^t
t = 14
You would have to make them all one form that is the same, for example if you wanted to find out if 80%, 0.75, 1/2 are the same you would have to change them into the same form. If you wanted to make them all decimals it would be 0.08, 0.75, 0.5, if you wanted to make them all percents it would be 80%, 75%, 50%, you wanted them all of be a fraction it would be 4/5, 3/4, and 1/2. I hope explained this well and this helped :)
-Madi
