Answer:
C
Step-by-step explanation:
4(5)+10-12=18
The following formula for compound interest applies:
![A=P(1+r)^{t}](https://tex.z-dn.net/?f=A%3DP%281%2Br%29%5E%7Bt%7D)
where A is the amount after t years, P is the principal and r is the annual interest rate expressed as a decimal. Plugging the given values into the formula gives:
![A=2000(1+0.05)^{4}](https://tex.z-dn.net/?f=A%3D2000%281%2B0.05%29%5E%7B4%7D)
The amount after 4 years is therefore $2,431.01
Answer:
we get Rate of change = -3
Step-by-step explanation:
We need to calculate the rate of change for the following data:
x y
-1 7
2 -2
7 -17
10 -26
The rate of change can be calculated using slope formula: ![Rate\:of\:change=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=Rate%5C%3Aof%5C%3Achange%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
From the table, we can take any 2 points
Suppose we take (-1,7) and (2,-2)
We have: ![x_1=-1, y_1=7,x_2=2, y_2=-2](https://tex.z-dn.net/?f=x_1%3D-1%2C%20y_1%3D7%2Cx_2%3D2%2C%20y_2%3D-2)
Putting values in formula and finding rate of change
![Rate\:of\:change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:change=\frac{-2-7}{2-(-1)}\\Rate\:of\:change=\frac{-9}{2+1}\\Rate\:of\:change=\frac{-9}{3}\\Rate\:of\:change=-3](https://tex.z-dn.net/?f=Rate%5C%3Aof%5C%3Achange%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5CRate%5C%3Aof%5C%3Achange%3D%5Cfrac%7B-2-7%7D%7B2-%28-1%29%7D%5C%5CRate%5C%3Aof%5C%3Achange%3D%5Cfrac%7B-9%7D%7B2%2B1%7D%5C%5CRate%5C%3Aof%5C%3Achange%3D%5Cfrac%7B-9%7D%7B3%7D%5C%5CRate%5C%3Aof%5C%3Achange%3D-3)
So, we get Rate of change = -3
Answer:
74
Step-by-step explanation:
13 5-peso coins
9 1 peso coins
13 X 5 = 65
9 X 1 = 9
65+9 = 74
<em>That is 2+2 = 4</em>
<em> 2+1= 3 4 + 3 = 7.</em>