If the length of a side is x, then the surface area of a face of the cube is x squared. there are six sides in a cube so 6(x^2) would be the surface area.
6(x^2)=150
(x^2)=25
x=5
I use my calculator
Y1 (the blue one) = x^2-2x
Graph
2nd trace minimum
X= 1 and y = -1
So the vertex is (1,-1)
Answer:
Part 1) Helen's age is 32 years old and Jane's age is 24 years old
Part 2) 13 twenty-dollar bills
Step-by-step explanation:
Part 1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the equation?
Let
x----> Helen's age
y---> Jane's age
we know that
x=y+8 ----> equation A
(x-20)=3(y-20) -----> equation B
substitute equation A in equation B and solve for y
(y+8-20)=3(y-20)
y-12=3y-60
3y-y=60-12
2y=48
y=24 years
Find the value of x
x=y+8
x=24+8=32 years
Part 2)
Let
x-----> the number of five-dollar bills
y----> the number of twenty-dollar bills
we know that
5x+20y=305 -----> equation A
y=x+4 ------> x=y-4 ------> equation B
substitute equation B in equation A and solve for y
5(y-4)+20y=305
5y-20+20y=305
25y=325
y=13 twenty-dollar bills
Find the value of x
x=y-4
x=13-4=9 five-dollar bills
The answer is 8.5% interest compounded daily.
EXPLANATION
Regardless of your rate, the more often interest is paid, the more beneficial the effects of compound interest.
A daily interest account, which has 360 compounding periods a year, in this case, will generate more money than an account with an annual compounding, which has one compounding period per year.
Answer:
Slope: 1/2.5
Y-intercept: -1
Step-by-step explanation:
