Answer:
you have to do the directions they gave you, draw the coordinates
Step-by-step explanation:
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Today, average yearly tuition and fees for one year at the university are about $10,350.
I will assume a yearly interest rate of 8%.
<u>First, we need to calculate the total amount needed:</u>
Future value (FV)= 10,350*4= $41,400
<u>Now, using the following formula, the annual deposit required:</u>
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (41,400*0.08) / [(1.08^15) - 1]
A= $7,194.22
Answer:
Step-by-step explanation:
The the area of the rectangular pen be A = LW
L is the length
W is the width
Given
A = 3136ft²
3136 = LW..........1
Given the perimeter P = 2L+2W....... 2
From 1; L = 3136/W
Substitute into 2
P = 2(3136/W)+2W
P = 6272/W + 2W
In order to minimize the amount of material needed, then dP/dW = 0
dP/dW = -6272/W² + 2
0 = -6272/W² + 2
6272/W² = 2
cross multiply
6272 = 2W²
W² = 3136
W = √3136
W = 56ft
Since A = LW
3136 = 56L
L = 3136/56
L = 56ft
Hence the dimensions of the rectangular pen that minimize the amount of material needed is 56ft by 56ft
The exact value of arcsin ( 2 √ 2 ) is π4.
Answer:
10:07
Step-by-step explanation:
You add an hour so it is 10:00
Then you add 7 minutes
So the result is 10:07
