In the figure we have the graphic of this equation. So, the vertex is the maximum of this function. This point means that the maximum <span>daily profit from soccer balls is:
</span>
![y = 236.67](https://tex.z-dn.net/?f=y%20%3D%20236.67)
<span>
And this happens when the </span><span>selling price of each soccer ball is:
</span>
![x = 8.33](https://tex.z-dn.net/?f=x%20%3D%208.33)
<span>
So if you want to get the best daily profit, this is the price you must sell each soccer ball.</span>
Answer:
The output of the function y = -6x + 8 when the input is x = 20 is -112.
Step-by-step explanation:
y = -6x + 8
Input the value x = 20.
y = -6(20) + 8
Multiply -6 and 20.
y = -120 + 8
Add -120 and 8.
y = -112.
Answer:
A and B
Step-by-step explanation:
3 days : 1 week
1 week = 7 days
therefore 3 days : 1 week = 3 days : 7 days = 3 : 7
The amount to be invested today so as to have $12,500 in 12 years is $6,480.37.
The amount that would be in my account in 13 years is $44,707.37.
The amount I need to deposit now is $546.64.
<h3>How much should be invested today?</h3>
The amount to be invested today = future value / (1 + r)^nm
Where:
- r = interest rate = 5.5 / 365 = 0.015%
- m = number of compounding = 365
- n = number of years = 12
12500 / (1.00015)^(12 x 365) = $6,480.37
<h3>What is the future value of the account at the end of 13 years?</h3>
Future value = monthly deposits x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = interest rate = 5.3 / 12 = 0.44%
- n = 13 x 12 = 156
200 x [{(1.0044^156) - 1} / 0.0044] = $44,707.37
<h3>What should be the monthly deposit?</h3>
Monthly deposit = future value / annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = 6.7 / 12 = 0.56%
- n = 2 x 12 = 24
$14,000 / [{(1.0056^24) - 1} / 0.0056] = $546.64
To learn more about annuities, please check: brainly.com/question/24108530
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