Step-by-step explanation:
i = interest 3% for 30 years
This is a simple dynamical system for whom the the solutions are given as
](https://tex.z-dn.net/?f=S%3DR%5B%5Cfrac%7B%28i%2B1%29%5En-1%7D%7Bi%7D%5D%28i%2B1%29)
putting values we get
S=2000[\frac{(1.03)^{30}-1}{0.03}](1.03)
= $98005.35
withdrawal of money takes place from one year after last payment
To determine the result we use the present value formula of an annuity date
we need to calculate R so putting the values and solving for R we get
R= $6542.2356
Answer:
B. -4
Step-by-step explanation:
We want to find x such that f(x)=18.
We need to therefore solve 9x+54=18 forx.
9x+54=18
Divide both sides by 9:
(9x+54)/9=18/9
9x/9+54/9=18/9
Simplify:
x+6=2
Subtract 6 on both sides:
x=2-6
Simplify
x=-4.
So f(-4) should have value 18.
Let's check.
f(x)=9x+54
f(-4)=9(-4)+54
f(-4)=-36+54
f(-4)=18
So the answer is B.
complete question:
Find the volume of the cylinder.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.
Radius = 4 and height = 8.
Answer:
volume of a cylinder ≈ 402.30 unit cube
Step-by-step explanation:
The question you to find the volume of a cylinder with a height of 8 and radius of 4. The volume of a cylinder can be represented below
volume of a cylinder = πr²h
where
h = height
r = radius
h = 8
r = 4
volume of a cylinder = πr²h
volume of a cylinder = π × 4² × 8
volume of a cylinder = π × 16 × 8
volume of a cylinder = 128 π
volume of a cylinder = 128 × 3.143
volume of a cylinder = 402.304
volume of a cylinder ≈ 402.30 unit cube
Answer: 20
Step-by-step explanation:
Suppose the height of the prism is 1 in, then the volume will be:
volume=length×width×height
thus
volume of the prism will be:
V=3×1/2×1
V=1.5 in³
Volume of the cube will be:
v=1×1×1=1 in³
Thus the number of cubes that will be in the prism will be:
(1.5 in³)/(1 in³)
=1.5 cubes~2 cubes
