Answer:
Below.
Step-by-step explanation:
3 to the 4th is 3x3x3x3 or 81. 5x5=25
81+25=106.
Answer:
They need to deposit $31,172.49
Step-by-step explanation:
The compound interest formula is given by:
![A = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Where A is the amount of money, 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 the money is invested or borrowed for, in years.
In this problem
We want to find P for which
when ![r = 0.09, n = 12, t = 13](https://tex.z-dn.net/?f=r%20%3D%200.09%2C%20n%20%3D%2012%2C%20t%20%3D%2013)
So
![A = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
![100000 = P(1 + \frac{0.09}{12})^{12*13}](https://tex.z-dn.net/?f=100000%20%3D%20P%281%20%2B%20%5Cfrac%7B0.09%7D%7B12%7D%29%5E%7B12%2A13%7D)
![3.208P = 100000](https://tex.z-dn.net/?f=3.208P%20%3D%20100000)
![P = \frac{100000}{3.208}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B100000%7D%7B3.208%7D)
![P = 31172.49](https://tex.z-dn.net/?f=P%20%3D%2031172.49)
They need to deposit $31,172.49
16.45 is equal to 16.450, so 16.454 is grater.
Hope this helps!
Answer: yes
Step-by-step explanation: A translation is a transformation that slides a figure to a new position.
So in this problem, notice that we can slide the triangle on the top to the position of the triangle on the bottom.
So, this represents a translation.