Answer:
14y=mxc I'm I right kwkbs
Answer: $107,836.69 or about $107,837 (to the nearest dollar)
Step-by-step explanation:
Formula to the accumulated amount received after investing principal amount (P) at rate of interest (r) compounded monthly for t months :
![A=P(1+\dfrac{r}{12})^{t}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cdfrac%7Br%7D%7B12%7D%29%5E%7Bt%7D)
As per given , A = $130,000
r= 7.5% = 0.075
t= 30 months
Now,
![130000=P(1+\dfrac{0.075}{12})^{30}\\\\\Rightarrow 130000=P(1+0.00625)^{30}\\\\\Rightarrow 130000=P(1.00625)^{30}\\\\\Rightarrow 130000=P \times1.20552661036\\\\\Rightarrow\ P=\dfrac{130000}{1.2055266}=107,836.69](https://tex.z-dn.net/?f=130000%3DP%281%2B%5Cdfrac%7B0.075%7D%7B12%7D%29%5E%7B30%7D%5C%5C%5C%5C%5CRightarrow%20130000%3DP%281%2B0.00625%29%5E%7B30%7D%5C%5C%5C%5C%5CRightarrow%20130000%3DP%281.00625%29%5E%7B30%7D%5C%5C%5C%5C%5CRightarrow%20130000%3DP%20%5Ctimes1.20552661036%5C%5C%5C%5C%5CRightarrow%5C%20%20%20P%3D%5Cdfrac%7B130000%7D%7B1.2055266%7D%3D107%2C836.69)
Hence he need to invest $107,836.69 .
Answer:
<h2>
y = x² - 1</h2>
Step-by-step explanation:
y = -1 for x = 0 {point(0, -1)} means -1 at the end of formula
If we add 1 to y-coordinate of every given point we get the squares of x-coordinate:
(1, 0): 1² - 1 = 0
(2, 3): 2² - 1 = 4 - 1 = 3
(3, 8): 3² - 1 = 9 - 1 = 8
(4, 15): 4² - 1 = 16 - 1 = 15
So for any x:
(x, y) y = x² - 1
Answer:
3
Step-by-step explanation:
Answer:
To get the function g, shift f by 1 unit.
Step-by-step explanation:
Given
![\begin{aligned} f(x)&;=|x| \\ g(x)&;=|x | + 1 \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%20f%28x%29%26%3B%3D%7Cx%7C%20%5C%5C%20g%28x%29%26%3B%3D%7Cx%20%7C%20%2B%201%20%5Cend%7Baligned%7D)
Required
How do f(x) translates to g(x)
In terms of f(x), g(x) can be represented as:
![g(x) = f(x) + k](https://tex.z-dn.net/?f=g%28x%29%20%3D%20f%28x%29%20%2B%20k)
Where
![f(x)= |x|](https://tex.z-dn.net/?f=f%28x%29%3D%20%7Cx%7C)
and
![k = 1](https://tex.z-dn.net/?f=k%20%3D%201)
<em>This implies that f(x) is vertically shifted 1 unit up to get g(x)</em>