The general formula for an exponential function is
In this case, b is the base which is any real number greater than 0 and is not 1. Additionally, the domain of an exponential function is all real numbers due to the fact that the exponential function is defined by real numbers. While the range is all real numbers greater than zero.
A triangle has a total angle of 180 degrees. Since we know
that angle X = angle N = 20 degrees and angle Y = angle M = 75 degrees,
therefore angle Z or angle L is equal to:
angle L = 180 – 20 – 75
<span>angle L = 85
degrees</span>
Therefore w is:
angle L = 5 (w – 2)
5 (w – 2) = 85
w – 2 = 17
<span>w = 19</span>
Answer:
$11,130.47
Step-by-step explanation:
The amortization formula can be used. It tells you the monthly payment amount A for some principal P, interest rate r, and n payments.
A = P(r/12)/(1 -(1 +r/12)^(-n))
Filling in your values, we get ...
200 = P(.03/12)/(1 -(1 +.03/12)^-60) = P(.0025)/(1 -1.0025^-60)
P = 200(1 -1.0025^-60)/.0025 ≈ 200×55.6523577
P ≈ 11,130.47
The present value of the loan is $11,130.47.
1.5x + 7 = 20.5
First subtract 7 from both sides
1.5x = 13.5
Then divide both sides by 1.5
x = 9
Let me know in comments if you have questions
Answer:
h(2)+g(2) = -3
Step-by-step explanation:
Replace the variable (t) with (
2) in the expression.
h (2) = 3 - 5
Replace the variable (t) with (
2) in the expression.
g(2) = 2(2) -5
Replace the function designators in h(2) +g(2) with the actual functions.
h(t) = 3 - 5 +2 (2) ← plug h(2) into 2(t)
Remove parentheses.
3 - 5 + 2(2)
Multiply 2 by 2
3 - 5 + 4 - 5
Subtract 5 from 3
.
-2 + 4 - 5
Add -2 and 4
2 - 5
Subtract 5 from 2
-3
