Answer:
Choice A
Step-by-step explanation:
Which relation is a function? A. X -14,-9-1,4,6 Y 6,2,-3,2,4 B. X -2,1,9,9,15 Y -3,-3,0,-8,12 C. X -4,6,6,7,9 Y -1,-3,-1,15,1 D.
Butoxors [25]
❅☃ To find a function you need to look at the x values, if one of the same x value is repeated more then once, it is considered a non function.
❅☃ Option A:
-14
-9
-1
4
6
As you can see no repeated values.
Therefore A is already our function but lets look at the others just in case.
❅☃ Option B
-2
1
9
9
15
9 was repeated therefore it is a non function.
❅☃ Option C
-4
6
6
7
9
6 was again repeated. Non function.
❅☃ And lastly, D.
-16
-11
10
10
16
10 was reapted. Non function.
❅☃ Your answer is A
Answer:
Present value = $4,122.4
Accumulated amount = $4,742
Step-by-step explanation:
Data provided in the question:
Amount at the Start of money flow = $1,000
Increase in amount is exponentially at the rate of 5% per year
Time = 4 years
Interest rate = 3.5% compounded continuously
Now,
Accumulated Value of the money flow = 
The present value of the money flow = 
= 
= ![1000\left [\frac{e^{0.015t}}{0.015} \right ]_0^4](https://tex.z-dn.net/?f=1000%5Cleft%20%5B%5Cfrac%7Be%5E%7B0.015t%7D%7D%7B0.015%7D%20%5Cright%20%5D_0%5E4)
= ![1000\times\left [\frac{e^{0.015(4)}}{0.015} -\frac{e^{0.015(0)}}{0.015} \right]](https://tex.z-dn.net/?f=1000%5Ctimes%5Cleft%20%5B%5Cfrac%7Be%5E%7B0.015%284%29%7D%7D%7B0.015%7D%20-%5Cfrac%7Be%5E%7B0.015%280%29%7D%7D%7B0.015%7D%20%5Cright%5D)
= 1000 × [70.7891 - 66.6667]
= $4,122.4
Accumulated interest = 
= 
= $4,742
8x+30/10
Simplify the Problem
<em><u>8x+3</u></em>