Answer: You need a protractor for this!
Step-by-step explanation:
You need to measure the angle AMT then MTA and TAM
Use your protractor to measure the angles.
Answer:
y = -1
Step-by-step explanation:
Set up
x-2y = 8
Substitute 5-y for x
5 - y -2y = 8
Combine like terms
-3y + 5 = 8
Subtract 5 from both side
-3y = 3
Divide by -3
y = -1
B,,,,,,,,,,,,,,,,,,,,,,,,,
Answer:
Robert will have $481 more in his account than Cooper.
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.
Continuous compounding:
Similar to compound interest:
![A(t) = P(1 + r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20r%29%5Et)
Cooper:
Cooper invested $3,100 in an account paying an interest rate of 2% compounded quarterly. This means that ![P = 3100, r = 0.02, n = 4](https://tex.z-dn.net/?f=P%20%3D%203100%2C%20r%20%3D%200.02%2C%20n%20%3D%204)
After 12 years is A(12). 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(12) = 3100(1 + \frac{0.02}{4})^{4*12}](https://tex.z-dn.net/?f=A%2812%29%20%3D%203100%281%20%2B%20%5Cfrac%7B0.02%7D%7B4%7D%29%5E%7B4%2A12%7D)
![A(12) = 3938.5](https://tex.z-dn.net/?f=A%2812%29%20%3D%203938.5)
Cooper will have $3938.5 in his account.
Robert:
Robert invested $3,100 in an account paying an interest rate of 3 % compounded continuously. So
.
After 12 years.
![A(t) = P(1 + r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20r%29%5Et)
![A(12) = 3100(1 + 0.03)^{12}](https://tex.z-dn.net/?f=A%2812%29%20%3D%203100%281%20%2B%200.03%29%5E%7B12%7D)
![A(12) = 4419.9](https://tex.z-dn.net/?f=A%2812%29%20%3D%204419.9)
Robert will have $4419.9 in his account.
How much more money would Robert have in his account than Cooper, to the nearest dollar?
4419.9 - 3938.5 = 481.4
To the nearest dollar, Robert will have $481 more in his account than Cooper.
Answer:
he bought 5 peaches 2 bananas
Step-by-step explanation: