Answer:
Investment amount after 9 years = 14715.12$
Explanation:
It is given to use continuous change function, 
Here P = Principal = 10500$
r = Rate of increase = 0.0375
t = Number of years = 9

So, investment amount after 9 years = 14715.12$
Answer:
20
Step-by-step explanation:
<u>Given:</u>
<u>As per the picture:</u>
- m∠JKL = m∠JKM + m∠MKL = 45 + x
<u>Comparing the two equations above:</u>
- 3x+5 = 45 + x
- 3x - x = 45 - 5
- 2x = 40
- x = 40/2
- x = 20
x = 20 is the correct answer for this question
Otherwise something is wrong with the question.
Answer:
log(4).
Step-by-step explanation:
By the law of logarithms:
log(8) - log(2)
= log(8/2)
= log(4).
Answer:
y = (1/2)(x + 4)^2 - 1
Explanation:
Start with the general quadratic equation in vertex form:
y = a(x - h)^2 + k
The vertex is at (h, k).
* Remember that -h is shown in the equation.
Substitute the information from the question into the general equation.
x = -2
y = 1
h = -4
k = -1
y = a(x - h)^2 + k
1 = a(-2 - (-4))^2 + (-1)
Simplify and isolate “a”
1 = a(-2 + 4)^2 - 1
1 = a(2)^2 - 1
1 = 4a - 1
4a = 2
a = 2/4
a = 1/2
Rewrite the general equation with values for “a”, “h” and “k”.
y = a(x - h)^2 + k
y = (1/2)(x + 4)^2 – 1