Answer:
the answer is 2+2i√3
Step-by-step explanation:
hope this helps
Answer:
The time = 6.5 seconds and the maximum height reached by the rocket = 676 feet
Step-by-step explanation:
A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the quadratic function h(t) = -16
+208t.
We have to find when the rocket will reach its maximum height.
When the rocket reaches its maximum height,
= 0.
h(t) = -16
+208t
= - 32t + 208 = 0
t = 6.5 seconds
At t = 6.5 seconds it is at maximum height.
Maximum height = - 16
= 676 feet
Solve for x, which can be done by moving x to the other side.
2(x-5)^2+8
So, x = 5
The y value is the number at the end and we can see that it is positive 8.
y = 8
Write it out as a coordinate pair and you would get (5,8) or answer choice D
Solution
a)
To find the exponential growth function, we apply the exponential growth formula which is

Where

Given that

Substitute the variables into the exponential growth formula
![\begin{gathered} 25100=23900(1+k)^5 \\ \text{Divide both sides by 23,900} \\ \frac{25100}{23900}=\frac{23900(1+k)^5}{23900} \\ 1.05021=(1+k)^5^{} \\ \sqrt[5]{1.05021}=1+k \\ 1.00984=1+k \\ \text{Collect like terms} \\ k=1.00984-1 \\ k=0.00984 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2025100%3D23900%281%2Bk%29%5E5%20%5C%5C%20%5Ctext%7BDivide%20both%20sides%20by%2023%2C900%7D%20%5C%5C%20%5Cfrac%7B25100%7D%7B23900%7D%3D%5Cfrac%7B23900%281%2Bk%29%5E5%7D%7B23900%7D%20%5C%5C%201.05021%3D%281%2Bk%29%5E5%5E%7B%7D%20%5C%5C%20%5Csqrt%5B5%5D%7B1.05021%7D%3D1%2Bk%20%5C%5C%201.00984%3D1%2Bk%20%5C%5C%20%5Ctext%7BCollect%20like%20terms%7D%20%5C%5C%20k%3D1.00984-1%20%5C%5C%20k%3D0.00984%20%5Cend%7Bgathered%7D)
Hence, the exponential growth function is

Hence, the exponential growth function is

b)
For the population of the city in 2022,

Substitute for t into the exponential growth function

Hence, the population is 2022 is 27700 (nearest hundred)
Answer:
$265
Step-by-step explanation:
We can use the simple interest formula for this:

<em>P = initial balance</em>
<em>r = annual interest rate</em>
<em>t = time</em>
<em />
First, change 4% into its decimal form:
4% ->
-> 0.04
Next, we need to change the annual interest rate to 1.5 since 18 months is 1.5 years. Now plug in the values:


Eugene owes $265 of interest.