Answer:
J, 6
Step-by-step explanation:
plug in the values given into the equation
x = 5 and y = 2
4(5) - (2)³/ 2
20 - 8/2
20 - 8 = 18
12/2
6
the value of
is 6 when the values are plugged in
Amount to be paid back = $ 88,624.36
<u>Step-by-step explanation:</u>
Principal amount = $ 40,000
Rate of interest = 7.5%
Number of years = 11
![A=P\left(1+\frac{r}{n}\right)^{n t}](https://tex.z-dn.net/?f=A%3DP%5Cleft%281%2B%5Cfrac%7Br%7D%7Bn%7D%5Cright%29%5E%7Bn%20t%7D)
Plugin the values as,
![A=40000\left(1+\frac{7.5}{100}\right)^{11}](https://tex.z-dn.net/?f=A%3D40000%5Cleft%281%2B%5Cfrac%7B7.5%7D%7B100%7D%5Cright%29%5E%7B11%7D)
![A=40000(1+0.075)^{11}](https://tex.z-dn.net/?f=A%3D40000%281%2B0.075%29%5E%7B11%7D)
![A=40000(1.075)^{11}](https://tex.z-dn.net/?f=A%3D40000%281.075%29%5E%7B11%7D)
![A=\$ 88,624.36](https://tex.z-dn.net/?f=A%3D%5C%24%2088%2C624.36)
x%*120=36
x/100 *120=36
120x/100=36
120x=3600 <em>/:120</em>
<em>x=30</em>
<em>⇒36 is 30% of 120 </em>
<em />
Answer:
28 is added by -8 equals 20
Step-by-step explanation:
The equation to calculate something added by -8 equals 20 is as follows:
x-8 = 20
x = 20+8
x = 28
28 is added by -8 equals 20
Answer:
Step-by-step explanation:
Suppose the dimensions of the playground are x and y.
The total amount of the fence used is given and it is 780 ft. In terms of x and y this would be 3x+2y=780 (we add 3x because we want it to be cut in the middle). Therefore, y= 780/2-3/2x. Now, the total area (A )to be fenced is
A=x*y= x*(390-3/2x)=-3/2 x^2+390x
Calculating the derivative of A and setting it equals to 0 to find the maximum
A'= -3x+390=0
This yields x=130.
Therefore y=780/2-3/2*130=195
Thus, the maximum area is 130*195=25,350ft^2