Answer:approximately 50 years.
Step-by-step explanation:
Let $P represent the initial amount that she deposited. It means that principal,
P = $P
It was compounded annually. This means that it was compounded once in a year. So
n = 1
The rate at which the principal was compounded is 1.4%. So
r = 1.4/100 = 0.014
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. For the initial amount to double, it means that
A = 2P
Therefore
2P = P (1+0.014/1)^1×t
2P/P = (1.014)^t
2 = (1.014)^t
Taking log to base 10 of both sides, it becomes
Log 2 = log 1.014^t
Log 2 = tlog 1.014
0.301 = 0.006t
t = 0.301/0.006 = 50.2 years
Put the given information into the formula and solve for the variable of interest.
.. V = π*r^2*h
.. 24 = π*(h/3)^2*h
.. 24 = π/9*h^3
.. 9*24/π = h^3
.. ∛(216/π) = h
.. h = (6/π)√(π^2) ≈ 4.097 . . . . units
The height of the cylinder is about 4.097 units.
Answer:
x⁷ = 60
Step-by-step explanation:
<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u><u> </u>
- The expotential equation .
<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>
Given logarithmic equation is ,
⇒ log x⁵ + log x ¹² = 7
⇒ log x ⁵ * ¹² = 7 [ log aⁿ + log aⁿ' = log aⁿ * ⁿ' ]
⇒log x ⁶⁰ = 7
In expotential form we can write it as ,
⇒ x⁷ = 60
I would say letter C, sorry if I’m wrong but that is what I would say
