Answer: the worth of the prize today is $150000
Step-by-step explanation:
We would apply the formula for determining present annuity. It is expressed as
PV = R[1 - (1 + r)^- n]r
Where
PV represents the present value of the investment.
R represents the regular payments made(could be weekly, monthly)
r = represents interest rate/number of interval payments.
n represents the total number of payments made.
From the information given,
r = 0.07/12 = 0.0058
n = 150
Therefore,
PV = 1500[1 - (1 + 0.0058)^- 150]/0.0058
PV = 1500[1 - (1.0058)^- 150]/0.0058
PV = 1500[1 - 0.42]/0.0058
PV = 1500[0.58]/0.0058
PV = 1500 × 100
PV = $150000
Carlos is 5feet and 3inches y’all
The function with the greatest average rate of change is the function k(x)
<h3>How to determine the function?</h3>
The average rate of change is calculated as
![m = \frac{y_2 - y_1}{x_2 -x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-x_1%7D)
The interval is [0,2].
So, we have
![m = \frac{y_2 - y_1}{2 -0}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7B2%20-0%7D)
![m = \frac{y_2 - y_1}{2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7B2%7D)
For function j(x), we have
j(2) = 3 * 1.6^2 = 7.68
j(2) = 3 * 1.6^0 = 3
So, we have
![m_j = \frac{7.68 - 3}{2}](https://tex.z-dn.net/?f=m_j%20%3D%20%5Cfrac%7B7.68%20-%203%7D%7B2%7D)
![m_j = 2.34](https://tex.z-dn.net/?f=m_j%20%3D%202.34)
For function g(x), we have
g(2) = 25/2
g(0) = 8
So, we have
![m_g = \frac{25/2 - 8}{2}](https://tex.z-dn.net/?f=m_g%20%3D%20%5Cfrac%7B25%2F2%20-%208%7D%7B2%7D)
![m_g = 2.25](https://tex.z-dn.net/?f=m_g%20%3D%202.25)
For function k(x), we have
k(2) = 9
k(0) = 4
So, we have
![m_k = \frac{9 - 4}{2}](https://tex.z-dn.net/?f=m_k%20%3D%20%5Cfrac%7B9%20-%204%7D%7B2%7D)
![m_k = 2.5](https://tex.z-dn.net/?f=m_k%20%3D%202.5)
For function f(x), we have
f(2) = 1.5 * 2^2 = 6
f(0) = 1.5
So, we have
![m_f = \frac{6 - 1.5}{2}](https://tex.z-dn.net/?f=m_f%20%3D%20%5Cfrac%7B6%20-%201.5%7D%7B2%7D)
![m_f = 2.25](https://tex.z-dn.net/?f=m_f%20%3D%202.25)
The function with the greatest average rate of change is the function k(x) with a rate of 2.5
Read more about average rate of change at:
brainly.com/question/23715190
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Answer:
9384
Step-by-step explanation:
23*12*34=9384
Answer:
x = -36, y = 6, z = -6
Step-by-step explanation:
The requirement x/z = -z means x = -z².
The requirement x/y = z means x = yz.
These two requirements together mean yz = -z², or y = -z.
The requirements that z/2 and z/3 are integers mean that z is a multiple of 2·3 = 6. The smallest magnitude non-zero multiple is z=-6 (since we also require z < -z).
Using z=-6, we have x = -z² = -36; y = -(-6) = 6.
For some positive integer n, ...
... x = -36n², y = 6n, z = -6n.