Based on the interest rate and continuous compounding, the investment would double in value after 18.5 years.
We have given that,
investment to double at a 3 3/4% interest rate,
<h3>When will the investment double in value?</h3>
The future value using continuous compounding is:
= Amount x e ^ (rate x time)
Interest is
= 3.75%
<h3>What is the formula of an exponential function?</h3>
2 = e ^ (0.0375 x time)
In2 = 0.0375 x time
t = In2 / 0.0375
t= 18.5 years
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40 mowers = $4,776
Multiply the above equation by 3
120 mowers = $14,328
Hello there!
Write a compound inequality for this sentence: 'w' is less than 4 and greater than or equal to -8
Only use 'w' once.
W is less than four ~

W is greater than or equal to -8 ~

If we were to put this together, it would look like:

I hope I helped!
Let me know if you need anything else!
~ Zoe
Answer:
14. D
15. A
16. A
Step-by-step explanation:
14. Point slope form formula: y-y₁=m(x-x₁).
When graphing you always want to think x/y for your slope.
X-axis increases by 2 and the Y-axis increases by 10, which would make the slope (m) 2/10 = 1/5.
If your slope is does not come out correct, then you can prove your point.
15. The given information is (-2,2): m=-1.
Given the Point slope formula: y-y₁=m(x-x₁), you can replace m to -1, y₁=2 and x=+2. (Two negatives would make a positive.)
Your answer: y-2=-(x+2)
16. Given: y=4x-7; (3,0)
Parallels lines: Same slope different y-intercepts.
A and D has the same slope and different y-interecepts, but your answer would be A because the equation that was given as a negative y-intercepts.