2 times the cube root of 8x+9=5
divide both sides by 2
cube root of 8x+9=2.5
cube everybody (put to 3rd power)
8x+9=2.5^3
8x+9=15.625
minus 9 both sides
8x=6.625
divie both sides by 8
x=0.828125
Solution:
<u>We know that:</u>
- Radius: 18 yards
- πr² = Area of circle
- π = 3.14
<u>Finding the area of the circle:</u>
- (π)(r²) = Area of circle
- => (3.14)(18²) = Area of circle
- => (3.14)(324) = Area of circle
- => Area of circle = 3.14 x 324 = 1017.36 yards²
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.
Answer:
y = 2x - 2
Step-by-step explanation:
y= mx+b
m= slope
b= y-intercept (point on line where x= 0.... or the point where the line hits the y-axis)
Determine slope by using slope formula or by counting boxes
By counting boxes, you can see that each point is 2 units up, 1 unit right (2/1)
the slope is 2
the point where the line is touching the y-axis is (0, -2)
m = slope = 2
b = y-intercept = -2
y = 2x + (-2) OR y = 2x -2
Answer:
Step-by-step explanation:
multiply the numerator/denominator of the first fraction by (x - 4)
multiply the numerator/denominator of the second fraction by (x + 2)
this ensures that the fractions have a common denominator
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= 
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← subtract numerators leaving the common denominator
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