Answer:
<u>The future value of an investment of US$ 6,000 after 23 years at 3.1% APR is US$ 12,108.</u>
Step-by-step explanation:
Investment principal = US$ 6,000
Interest rate = 3.1% compounded annually = 0.031
Time = 23 years
For calculating the future value, we will use the following formula:
Future Value = Investment principal * (1 + r)ⁿ
Replacing with the real values, we have:
FV = 6,000 * (1 + 0.031)²³
FV = 6,000 * (1 + 0.031)²³
FV = 6,000 * 2.018 (Rounding to three decimal places)
FV = US$ 12,108
<u>The future value of an investment of US$ 6,000 after 23 years at 3.1% APR is US$ 12,108.</u>
Answer:
The line will be going 'uphill' from left to right
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
y=mx+b
where m is the slope
b is the y-intercept
If the coefficient of the x-term is positive
then
the slope is positive
therefore
If the values of x increases, the values of y increases
If the values of x decreases, the values of y decreases
The line will be going 'uphill' from left to right
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Answer:
g^−1(7) = 6
h^−1(x) = x/2 + 3/2
(h^−1 ∘ h)(3) = 3
Step-by-step explanation:
If
g(6) = 7
Then
g^−1(7) = 6
h(x) = 2x - 3
Isolate x:
2x = h(x) + 3
x = h(x)/2 + 3/2
Replace x with h^−1(x) and h(x) with x:
h^−1(x) = x/2 + 3/2
We know that:
(h^−1 ∘ h)(x) = x
then:
(h^−1 ∘ h)(3) = 3
Seven hundred and Thirty thousand, Eight hunded and twelve.
Answer:
Step-by-step explanation:
Domain: the set of all permissible input values. In this particular case, x cannot be -3, because that would cause division by zero. Thus, the domain is (-∞, -3) ∪ (-3,∞)
Range: the range consists of the set of all values of y that are possible. Looking at the parent function, y = 1/x, we see that the range of that function is (-∞, 0) ∪ (0,∞); in other words, y gets close to but never actually reaches zero. This is also true of y = -1 / (x + 3).
Thus, the desired range is (-∞, 0) ∪ (0,∞).