Answer:
Step-by-step explanation:
You would solve this the same way you would with any other triangle problem. You will plug in for the base and the height in this formula 
.
Now we will multiply the two radicands.
For this we will split the 9604 into 49 and 196.
Now we just take the square roots of those two and since they're perfect squares they'll be whole numbers.
Next we just multiply everything together.
Possible dimension of a box with a volume of 100 cubic cm
10 x 10 x 1 = 100
10 x 5 x 2 = 100
5 x 5 x 4 = 100
Surface area:
10 x 10 x 1 dimensions:
10 x 10 = 100 x 2 = 200 sq.cm
10 x 1 = 10 x 4 = 40 sq. cm
240 sq. cm * $0.05 / 100 sq.cm = $0.12 per box
0.12 per box * 100 boxes = $12
10 x 5 x 2 dimension
10 x 5 = 50 x 2 = 100 sq. cm
10 x 2 = 20 x 2 = 40 sq. cm
5 x 2 = 10 x 2 = 20 sq. cm
160 sq. cm * $0.05/100 sq. cm = $0. 08 per box
0.08 per box * 100 boxes = $8
5 x 5 x 4 dimension
5 x 5 = 25 x 2 = 50 sq. cm
5 x 4 = 20 x 4 = 80 sq. cm
130 sq. cm * $0.05/100 sq. cm = $0.065 per box
0.065 per box * 100 boxes = $6.50
The best dimension to use to have the least cost to make 100 boxes is 5 x 5 x 4. It only costs $6.50 to make 100 boxes.
Answer:
Jose ends up with more money with $59 more than Peter.
Step-by-step explanation:
To determine the amount they will have, you have to use the formula to calculate the future value:
FV=PV(1+r)^n
FV= future value
PV= present value
r= rate of interest
n= number of periods of time
-Peter:
FV=1,000*(1+0.04)^10
FV=1,000*1.48
FV=1,480
-Jose:
FV=900*(1+0.05)^11
FV=900*1.71
FV=1,539
Difference: $1,539-$1,480=$59
According to this, the answer is that Jose ends up with more money with $59 more than Peter.
The numbers are 3 and 18
Step-by-step explanation:
- Step 1: Let one number be x. Then the other number = 6x.
Also, 6x = 12 + 2x
⇒ 4x = 12
⇒ x = 3
⇒ 6x = 18
The graph represents y=-4x-1
If you notice the line, it goes past the -1 on the y axis which indicates that the y intercept is -1 since that was the only choice which displayed this, we know that our answer is y=-4x-1
