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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n² = -35 - 12n
Add 12n and 35 to both sides
n² + 12n + 35 = 0
Find the factors of 35 that add or subtract to positive 12:
Factors of 35: 1, 5, 7, 35
5 and 7 add up to 12
n² + 12n + 35 = 0
Instead of 12n, you can replace it with 7n + 5n because they add up to 12n
n² + 7n + 5n + 35
Factor the equation separately
n(n + 7) + 5(n + 7)
Now factor out the (n + 7)
(n + 7)(n + 5)
Answer:
The 4th one;
y = -5
Step-by-step explanation:
The line is horizontal, therefore it just needs to be the same as the y-value, which is -5. Here is an image for you to explain it.
Answer:
True
Step-by-step explanation:
Vertical angles always come in pairs. They share a common vertex but they cannot share a side. Vertical angles are congruent, which means they have equal measures.