Answer:
$280.51
Step-by-step explanation:
The formula we want to use:
![A=P(1+\frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
where:
P is the principal
r is the the rate
n is the number of compounding per year
t is total number of years
A is the ending amount
We are given P=200, r=.07, n=1 (compounded once a year), t=5.
So plugging this in:
![A=200(1+\frac{.07}{1})^{1 \cdot 5}](https://tex.z-dn.net/?f=A%3D200%281%2B%5Cfrac%7B.07%7D%7B1%7D%29%5E%7B1%20%5Ccdot%205%7D)
Simplify a little:
![A=200(1+.07)^{5}](https://tex.z-dn.net/?f=A%3D200%281%2B.07%29%5E%7B5%7D)
Just a little more:
![A=200(1.07)^{5}](https://tex.z-dn.net/?f=A%3D200%281.07%29%5E%7B5%7D)
Now I'm going to put the rest of this in the calculator:
200*(1.07)^5 is what I'm putting in my calculator.
This is approximately 280.5103461.
To the nearest cent this is 280.51
The correct answer is - B. 5.24 lb.
Explanation:
Given is a bowling ball, so it is a sphere.
The radius is given as = 5 inches
Volume of the sphere = ![\frac{4}{3} \pi r^{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E%7B3%7D)
Putting r=5 and pi = 3.142 in the above formula, we get
volume = 523.66 cubic inches
Also given is - one cubic inch weighs 1/100th of a pound
So, 523.66 cubic inches will weigh = ![\frac{523.66}{100}=5.2366](https://tex.z-dn.net/?f=%5Cfrac%7B523.66%7D%7B100%7D%3D5.2366)
Hence rounding this off we get the weight of the bowling ball as 5.24 lb.
First, we recall what the terms converse, inverse, and contrapositive mean.
Conditional statement: If p then q.
Converse: If q then p.
Inverse: If not p then not q.
Contrapositive; If not q then not p.
Conditional statement:
If p then q.
If a figure is a cube, then it has eight vertices.
p = a figure is a cube
q = it has eight vertices
Converse:
If q then p.
If a figure has eight vertices, then it is a cube.
Inverse:
If not p then not q.
If a figure is not a cube, then it does not have eight vertices.
Contrapostive:
If not q then not p.
If a figure does not have eight vertices, then it is not a cube.