Answer:123
Step-by-step explanation:
Answer:
$10496.77
Step-by-step explanation:
We have been given that Barbara puts $200 into an account every month that pays 4.5% interest, compounded monthly.
To find the money in the account after 4 years, we will use future value formula.
, where,
R = Regular deposits,
r = Interest rate in decimal form
n = Number of times interest in compounded per year,
t = Time in years.

Substitute given values:








Therefore, there will be an amount of $10496.77 in the account after 4 years.
Answer:
477,900
Step-by-step explanation:
Given:
radius : 3.5 ft
height : 14 ft
Surface Area of a cylinder = 2πrh + 2πr²
S.A. = 2 * 3.14 * 3.5ft * 14ft + 2 * 3.14 * (3.5ft)²
S.A. = 307.72ft² + 2 * 3.14 12.25ft²
S.A. = 307.72ft² + 76.93ft²
S.A. = 384.65 ft²
Volume of a cylinder = πr²h
V = 3.14 * (3.5ft)² * 14ft
V = 3.14 * 12.25ft² * 14ft
V = 538.51 ft³
Answer:
The smallest model - bottom right - in the question diagram represents
.
Step-by-step explanation:
Considering the radical expression
![\sqrt[3]{64}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D)
Lets simply this radical expression first
As
![\sqrt[3]{64}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D)

![=\sqrt[3]{4^3}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B3%5D%7B4%5E3%7D)
![\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a,\:\quad \:a\ge 0](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%7D%3A%5Cquad%20%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da%2C%5C%3A%5Cquad%20%5C%3Aa%5Cge%200)
![\sqrt[3]{4^3}=4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4%5E3%7D%3D4)

Therefore, ![\sqrt[3]{64}=4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D%3D4)
Now, as we can determine that
. So, the smallest model in the question diagram represents
as each face of the cube of the smallest model in the diagram - bottom right - has 4 squares.
Therefore, the smallest model - bottom right - in the question diagram represents
.
Keywords: square cube root, radical expression
Learn more about radical expression from brainly.com/question/13984232
#learnwithBrainly