Answer:
![A(t) = 600(1.035)^8](https://tex.z-dn.net/?f=A%28t%29%20%3D%20600%281.035%29%5E8)
The ending balance is of $790.1.
Step-by-step explanation:
Compound interest:
The amount of money earned after t years, in compound interest, is given by:
![A(t) = A(0)(1+r)^{t}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281%2Br%29%5E%7Bt%7D)
In which A(0) is the initial amount of money and r is the interest rate, as a decimal.
$600 that earns 3.5% compound interest over 8 years
This means, respectively, that:
![A(0) = 600, r = 0.035, t = 8](https://tex.z-dn.net/?f=A%280%29%20%3D%20600%2C%20r%20%3D%200.035%2C%20t%20%3D%208)
So, the formula is:
![A(t) = A(0)(1+r)^{t}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281%2Br%29%5E%7Bt%7D)
![A(t) = 600(1+0.035)^{8}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20600%281%2B0.035%29%5E%7B8%7D)
![A(t) = 600(1.035)^8](https://tex.z-dn.net/?f=A%28t%29%20%3D%20600%281.035%29%5E8)
Ending balance:
The ending balance is:
![A(t) = 600(1.035)^8 = 790.1](https://tex.z-dn.net/?f=A%28t%29%20%3D%20600%281.035%29%5E8%20%3D%20790.1)
The ending balance is of $790.1.
945 is your answer but what number blank?
Answer:
y = 3x + 2; y = -x + 4
Step-by-step explanation:
Slope intercept form is in y = mx + b, where m is the slope and b is the y-intercept. In the first image, 2 is the y-intercept and 3 is the slope, yielding the equation y = 3x + 2.
For the second, 4 is the y-intercept and -1 is the slope, so the answer to the second image is y = -x + 4.
The 17th term is 50C16*2^34*a^16
The 18th term is 50C17*2^33*a^17
The ratio of these two terms is (17th term)/(18th term) = 1/a. We want the value of this to be 1, so
.. A = 1
_____
My calculator says
.. 50C16 = 4,923,689,695,575
.. 50C17 = 9,847,379,391,150
the latter being exactly 2 times the former.
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