Answer:
![2x^{2}-5x-5=0](https://tex.z-dn.net/?f=2x%5E%7B2%7D-5x-5%3D0)
Step-by-step explanation:
Answer:
Sixteen thousand, two hundred eight and fifty-nine hundredths.
I hope this helps! :)
Answer:
a) ![A(t) = 17500(1.0053)^{12t}](https://tex.z-dn.net/?f=A%28t%29%20%3D%2017500%281.0053%29%5E%7B12t%7D)
b) The balance after 8 years will be of $29,069.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
a)
Loan of $17,500 means that ![P = 17500](https://tex.z-dn.net/?f=P%20%3D%2017500)
6.4% interest rate means that ![r = 0.064](https://tex.z-dn.net/?f=r%20%3D%200.064)
Compounded monthly means that
. So
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
![A(t) = 17500(1 + \frac{0.064}{12})^{12t}](https://tex.z-dn.net/?f=A%28t%29%20%3D%2017500%281%20%2B%20%5Cfrac%7B0.064%7D%7B12%7D%29%5E%7B12t%7D)
![A(t) = 17500(1.0053)^{12t}](https://tex.z-dn.net/?f=A%28t%29%20%3D%2017500%281.0053%29%5E%7B12t%7D)
b)
This is A(8). Then
![A(8) = 17500(1.0053)^{12*8} = 29069](https://tex.z-dn.net/?f=A%288%29%20%3D%2017500%281.0053%29%5E%7B12%2A8%7D%20%3D%2029069)
The balance after 8 years will be of $29,069.
Answer:
no time left sorry
Step-by-step explanation:
Answer:
![x=128](https://tex.z-dn.net/?f=x%3D128)
Step-by-step explanation:
x and 52 are supplementary, so they add up to 180°
![x+52=180\\x=128](https://tex.z-dn.net/?f=x%2B52%3D180%5C%5Cx%3D128)