19.99 (price per month) multiplied by 6 (amount of months) is $119.94, because he is spending $19.99 per month for a period of 6 months
Answer:
4 ounces
Step-by-step explanation:
To solve this problem, lets first take into account that 1 cup is equal to 8 ounces. Now, we need to cross multiply. Lets input the values 1, 8, and 0.5 (0.5 is 2/4) as shown below:
![\frac{1}{8} = \frac{0.5}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D%20%3D%20%5Cfrac%7B0.5%7D%7Bx%7D)
Next we cross multiply. We multiply 1 and x, and we multiply 8 and 0.5.
![1(x) = x](https://tex.z-dn.net/?f=1%28x%29%20%3D%20x)
![8(0.5) = 4](https://tex.z-dn.net/?f=8%280.5%29%20%3D%204)
Now, if we simply put the variable x and the number 4 into an equation, we get:
4 ounces is the answer.
Answer:
$3.08
Step-by-step explanation:
To find the units price you would just divide $18.48 by 6 which gives you $3.08
Using an exponential function, it is found that:
a) The doubling time of the salary is of approximately 20 years.
b) The salary will be of $160,000.
<h3>What is an exponential function?</h3>
An increasing exponential function is modeled by:
![A(t) = A(0)(1 + r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281%20%2B%20r%29%5Et)
In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal.
The growth rate for this problem is:
r = 0.035.
The doubling time is t for which A(t) = 2A(0), hence:
![A(t) = A(0)(1 + r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281%20%2B%20r%29%5Et)
![2A(0) = A(0)(1.035)^t](https://tex.z-dn.net/?f=2A%280%29%20%3D%20A%280%29%281.035%29%5Et)
![(1.035)^t = 2](https://tex.z-dn.net/?f=%281.035%29%5Et%20%3D%202)
![\log{(1.035)^t} = \log{2}](https://tex.z-dn.net/?f=%5Clog%7B%281.035%29%5Et%7D%20%3D%20%5Clog%7B2%7D)
![t\log{1.035} = \log{2}](https://tex.z-dn.net/?f=t%5Clog%7B1.035%7D%20%3D%20%5Clog%7B2%7D)
![t = \frac{\log{2}}{\log{1.035}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B%5Clog%7B2%7D%7D%7B%5Clog%7B1.035%7D%7D)
t = 20 years.
You retire in 40 years, which is 2 doubling periods, hence the salary will be of:
40000 x 2 x 2 = $160,000.
More can be learned about exponential functions at brainly.com/question/25537936
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I think the 4 wasn't distributed correctly. it should be one of the first steps.