Answer:
Part b would be 4 and c would be 5 and d would be 19
Step-by-step explanation:
So yea do those
Answer: 1=1 question 2 = 1 again 5-6 is the next and 4 3-10 5-6 next answer2-7 3-8 5-4 -22--9 2-29 are all the answers
Step-by-step explanation:
Answer:
The expression to compute the amount in the investment account after 14 years is: <em>FV</em> = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].
Step-by-step explanation:
The formula to compute the future value is:
![FV=PV[1+\frac{r}{100}]^{n}](https://tex.z-dn.net/?f=FV%3DPV%5B1%2B%5Cfrac%7Br%7D%7B100%7D%5D%5E%7Bn%7D)
PV = Present value
r = interest rate
n = number of periods.
It is provided that $5,000 were deposited now and $3,000 deposited after 6 years at 10% compound interest. The amount of time the money is invested for is 14 years.
The expression to compute the amount in the investment account after 14 years is,
![FV=5000[1+\frac{10}{100}]^{14}+3000[1+\frac{10}{100}]^{14-6}\\FV=5000[1+0.10]^{14}+3000[1+0.10]^{8}](https://tex.z-dn.net/?f=FV%3D5000%5B1%2B%5Cfrac%7B10%7D%7B100%7D%5D%5E%7B14%7D%2B3000%5B1%2B%5Cfrac%7B10%7D%7B100%7D%5D%5E%7B14-6%7D%5C%5CFV%3D5000%5B1%2B0.10%5D%5E%7B14%7D%2B3000%5B1%2B0.10%5D%5E%7B8%7D)
The future value is:
![FV=5000[1+0.10]^{14}+3000[1+0.10]^{8}\\=18987.50+6430.77\\=25418.27](https://tex.z-dn.net/?f=FV%3D5000%5B1%2B0.10%5D%5E%7B14%7D%2B3000%5B1%2B0.10%5D%5E%7B8%7D%5C%5C%3D18987.50%2B6430.77%5C%5C%3D25418.27)
Thus, the expression to compute the amount in the investment account after 14 years is: <em>FV</em> = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].
Answer:
Charlene earns $700 per week
Kristi earns $550 per week
Sascha earns $800 per week
Step-by-step explanation:
Since Kristi earns 150 less than Charlene which is 100 less than Sascha, this is equal to the value of Sascha minus 250. We put this in the equation as s-250.
Together, they all earn $2050, so we must equal this to Charlene's value k+150, plus Kristi's value k, plus Sascha's value s.
<em>k+150+k+s=2050</em>
The next step here is to put the variables on one side and to put the numeric values on the other.
2k+s=1900
Like we said before, Kristi's value is equal to s-250, so we would replace k with that expression.
2(s-250)+s=1900
2s-500+s=1900
3s=2400
s= 800
We now have Sandra's weekly pay, which we can use to find the others' pay.
c= s-100
c= 800-100
c= 700
k= c-150
k= 700-150
k= 550