Answer: Geometric sequences and exponential functions are very closely related. As a result, geometric sequences and exponential functions look very similar. The fundamental difference between the two concepts is that a geometric sequence is discrete while an exponential function is continuous.
Answer:
5.8 m
Step-by-step explanation:
From the diagram given :
XY = opposite angle the angle. of depression = 30
To obtain the height YZ ;apply the trigonometric relation :
Tan θ = opposite / Adjacent
Tan 30° = YZ / 10
YZ = 10 * tan 30
YZ = 10 * 0.5773502
YZ = 5.77 m
The height is about 5.8 m
Answer:
P = $17,750.074
Step-by-step explanation:
amount (A) = $20,000
rate of interest= 4%
time (t) = 6 year
principle (P) = ?
![A=P (1+\frac{r}{100})^{t}](https://tex.z-dn.net/?f=A%3DP%20%281%2B%5Cfrac%7Br%7D%7B100%7D%29%5E%7Bt%7D)
![20000=P (1+\frac{4}{100})^{6}](https://tex.z-dn.net/?f=20000%3DP%20%281%2B%5Cfrac%7B4%7D%7B100%7D%29%5E%7B6%7D)
![P=20000\times (\frac{25}{26})^6](https://tex.z-dn.net/?f=P%3D20000%5Ctimes%20%28%5Cfrac%7B25%7D%7B26%7D%29%5E6)
on solving we get
P = $17,750.074
hence we have to deposit $17,750.074 to get $20,000 in the account after 6 years.
Equation: (1/2)(96) = 4x + 4
Solving for x:
0.5 * 96 = 4x + 4
48 = 4x + 4
44 = 4x
x = 11
Hope this helps!! :)
The parent function was shifted 4 unit left and 7 units down to get the given function
Step-by-step explanation:
Given function is:
f(x) = (x+4)^3- 7
and the parent function is
f(x) = x^3
We will take the parent function and transform it
so
If a function f(x) is converted inot f(x+a) where a is an ineteger, the function is shifted a units to the left
If we shift our parent function to 4 units left, then
![f(x) = (x+4)^3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%2B4%29%5E3)
now if any integer b is added to a function, it is shifted down
If we have to shift our function 7 units down, it will be:
![f(x) = (x+4)^3 - 7](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%2B4%29%5E3%20-%207)
Hence
The parent function was shifted 4 unit left and 7 units down to get the given function
Keywords: Functions, Transformation
Learn more about functions at:
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