Answer:
1/12
Step-by-step explanation:
1/2 divided by 6
that way her and her 5 workers each get the same amount of cake
Using the interest formulas, it is found that the values of the investment are given as follows:
- Using simple interest, the value will be of $34,000.
- Using compound interest, the value will be of $144,461.
- Using continuous compounding, the value will be of $148,002.
<h3>Simple Interest</h3>
Simple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
![A(t) = P(1 + rt)](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20rt%29)
In which:
- r is the interest rate, as a decimal.
In this problem, we have that the parameters are as follows:
P = 9000, r = 0.07, t = 40.
Hence:
![A(t) = 9000(1 + 0.07 x 40) = 34200](https://tex.z-dn.net/?f=A%28t%29%20%3D%209000%281%20%2B%200.07%20x%2040%29%20%3D%2034200)
<h3>Compound interest</h3>
![A(t) = P\left(1 + \frac{r}{n}\right)^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%5Cleft%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%5Cright%29%5E%7Bnt%7D)
n is the number of compounding, for quarterly n = 4, then:
![A(t) = 9000\left(1 + \frac{0.07}{4}\right)^{4 \times 40}](https://tex.z-dn.net/?f=A%28t%29%20%3D%209000%5Cleft%281%20%2B%20%5Cfrac%7B0.07%7D%7B4%7D%5Cright%29%5E%7B4%20%5Ctimes%2040%7D)
![A(t) = 144461](https://tex.z-dn.net/?f=A%28t%29%20%3D%20144461)
<h3>Continuous compounding</h3>
![A(t) = Pe^{rt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20Pe%5E%7Brt%7D)
Hence:
![A(t) = 9000e^{0.07 \times 40} = 148002](https://tex.z-dn.net/?f=A%28t%29%20%3D%209000e%5E%7B0.07%20%5Ctimes%2040%7D%20%3D%20148002)
More can be learned about the interest formulas at brainly.com/question/25296782
#SPJ1
Multiply your outside number and your answer to see if you got the number inside the box
I'm assuming that you meant to add an attachment
but log168 is equal to 2.22530928173
so simply solve the presumed answer choices
The one that equals 2.22530928173 is equivalent to log168
next time please include the attachment
~Travisnator
Answer:
<h2>x = 5√3 inches</h2>
Step-by-step explanation:
Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x
Using Pythagoras theorem we have
![{a}^{2} = {b}^{2} + {c}^{2}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%20%3D%20%20%7Bb%7D%5E%7B2%7D%20%20%2B%20%20%7Bc%7D%5E%7B2%7D%20)
where a is the hypotenuse
Substitute the values into the above formula
The hypotenuse is 10 inches
We have
![{10}^{2} = {5}^{2} + {x}^{2}](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B2%7D%20%20%20%3D%20%20%7B5%7D%5E%7B2%7D%20%20%2B%20%20%7Bx%7D%5E%7B2%7D%20)
![{x}^{2} = {10}^{2} - {5}^{2}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%20%20%7B10%7D%5E%7B2%7D%20%20-%20%20%7B5%7D%5E%7B2%7D%20)
![{x}^{2} = 100 - 25](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%20100%20-%2025)
![{x}^{2} = 75](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%2075)
We have the final answer as
<h3>x = 5√3 inches</h3>
Hope this helps you