Answer:
The given statement is false.
Step-by-step explanation:
Reason
let D be a directed graph with 'n' no of vertices and 'E' edges.
where 'n'=1. thus D =(n,E).
In degree: in directed graph the number of incoming edges on a vertex is known as indegree.
it is denoted as deg ⁺(n).
And now we know that in a directed graph
if deg ⁻(n)= deg ⁺(n) for each vertex n.
Step-by-step explanation:
Scientific notation : 6.04 * 10^-5.
Answer:
The third one
Step-by-step explanation:
It can't be the first one since the peak is 4 since it is the highest
It can't be the second one because the data is all different
It could be the third one since their are gaps
And It can't be the fourth one because the range is 7
So it must be the third one
Answer:
1.) 16/20
2.) 15/35
3.) 12/9
4.) 52/60
5.) 9 inches
6.) 24 centimeters
7.) 16 logs
8.) $15.40
9.) 10 miles
10.) 1.5 inches
I hope this is good enough:
Answer:
The expression to compute the amount in the investment account after 14 years is: <em>FV</em> = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].
Step-by-step explanation:
The formula to compute the future value is:
![FV=PV[1+\frac{r}{100}]^{n}](https://tex.z-dn.net/?f=FV%3DPV%5B1%2B%5Cfrac%7Br%7D%7B100%7D%5D%5E%7Bn%7D)
PV = Present value
r = interest rate
n = number of periods.
It is provided that $5,000 were deposited now and $3,000 deposited after 6 years at 10% compound interest. The amount of time the money is invested for is 14 years.
The expression to compute the amount in the investment account after 14 years is,
![FV=5000[1+\frac{10}{100}]^{14}+3000[1+\frac{10}{100}]^{14-6}\\FV=5000[1+0.10]^{14}+3000[1+0.10]^{8}](https://tex.z-dn.net/?f=FV%3D5000%5B1%2B%5Cfrac%7B10%7D%7B100%7D%5D%5E%7B14%7D%2B3000%5B1%2B%5Cfrac%7B10%7D%7B100%7D%5D%5E%7B14-6%7D%5C%5CFV%3D5000%5B1%2B0.10%5D%5E%7B14%7D%2B3000%5B1%2B0.10%5D%5E%7B8%7D)
The future value is:
![FV=5000[1+0.10]^{14}+3000[1+0.10]^{8}\\=18987.50+6430.77\\=25418.27](https://tex.z-dn.net/?f=FV%3D5000%5B1%2B0.10%5D%5E%7B14%7D%2B3000%5B1%2B0.10%5D%5E%7B8%7D%5C%5C%3D18987.50%2B6430.77%5C%5C%3D25418.27)
Thus, the expression to compute the amount in the investment account after 14 years is: <em>FV</em> = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].