Answer:
16 years
Step-by-step explanation:
Given data
Principal= $8500
Rate= 4.5%
Final amount= $17,323
The expression to find time in compound interest is given as
t= ln(A/P)/r
substitute
t= ln(17323/8500)/0.045
t= ln(2.038)/0.045
t=0.711/0.045
t= 15.8 years
Hence the total time is about 16 years
Answer:

Step-by-step explanation:
→ Substitute in t = -3 into 

→ Simplify

→ Simplify
⇔ 
Answer:
The vertex of the function is (1.333, 4.667)
Step-by-step explanation:
1. Calculate -b / 2a. This is the x-coordinate of the vertex.
2. simply plug -b / 2a into the equation for x and solve for y.

Calculate -b/2a:


This is equal to 1.33 recurring
Plug 8/6 for x and solve for y:



This is equal to 4.66 reccuring.
Answer:
Month 5 the cost will be the same
Step-by-step explanation:
Make to equations from the given information
Let y be the cost, and let x be the number of months
Club A: y = 25x + 100
Club B: y = 20x + 200
It wants to know when the cost will be the same, so set the 2 equations equal to each other and solve..
25x + 100 = 20x + 200
5x = 100 (subtract 20x and 100 from both sides)
x = 20 (divide both sides by 5)
So after 5 months the cost will be equal,