A=p (1+r)^t
A future value
P present value 4.98
R rate 0.04
T time
After 3 years
A=4.98×(1+0.04)^(3)
A=5.60
7.50=4.98 (1.04)^t
Solve for t
T=log(7.50÷4.98)÷log(1.04)
T=10 years
Hope it helps:-)
Answer:
- f⁻¹(x) = (x + 1) / (x - 2)
- f⁻¹(1 ) = - 2
Step-by-step explanation:
<u>Given function:</u>
- f(x) = (2x + 1) / (x - 1)
<u>Find its inverse, substitute x with y and f(x) with x, solve for y:</u>
- x = (2y + 1) / (y - 1)
- x(y - 1) = 2y + 1
- xy - x = 2y + 1
- xy - 2y = x + 1
- y(x - 2) = x + 1
- y = (x + 1) / (x - 2)
<u>Substitute y with f⁻¹(x):</u>
- f⁻¹(x) = (x + 1) / (x - 2)
<u>Find f⁻¹(1 ):</u>
- f⁻¹(1 ) = ( 1 + 1) / (1 - 2) = 2 / - 1 = - 2
Answer:
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 158.9
Standard Deviation, σ = 90.4
We are given that the distribution is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.39
Calculation the value from standard normal z table, we have,
133.68 separates the bottom 39% means from the top 61% means.
Answer:
CPCTC - Corresponding Parts of Congruent Triangles are Congruent
Step-by-step explanation:
When two triangles are congruent, this means they have the same shape and the same size. To have the same shape, each angle must be congruent. To have the same size, each side length must be congruent. When you know two triangles are congruent you can say each corresponding part of congruent triangles is congruent. This is known as CPCTC.
Answer:
(3,0)
Step-by-step explanation:
The axis of symmetry is midway between the roots
