Answer:
65°
Step-by-step explanation:
2x= 130° (vertically opposite angles)
x= 130/2
x= 65°
Paul: 140 + 12x
Jacklyn: 56 + 16x
Where x is how many practice sessions he had this season
"After how many more practices will Paul and Jacklyn have completed the same number of laps?"
This means what will x be if both equations are equal to each other
140 + 12x = 56 + 16x
Isolate x in one side by subtracting both sides by 12x
140 + 12x - 12x = 56 + 16x - 12x
140 = 56 + 4x
Subtract both sides by 56 to shift the 56 from the right side to the left side
140 - 56 = 56 - 56 + 4x
84 = 4x
Divide both sides by 4 to isolate x
84/4 = 4/4x
21 = x
x = 21
They'll have completed the same number of laps after 21 practices
Hope it helps :)
Branliest would be appreciated
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
Step-by-step explanation:
Giving the following information:
Joshua:
Initial investment (PV)= $750
Interest rate (i)= 0.0341/4= 0.008525
Number of periods (n)= 18*4= 72 quarters
Josiah:
Initial investment (PV)= $750
Interest rate (i)= 0.0285
Number of periods (n)= 18 years
To calculate the future value of each one, we need to use the following formula:
FV= PV*(1 + i)^n
Joshua:
FV= 750*(1.008525^72)
FV= $1,381.98
Josiah:
FV= 750*(1.0285^18)
FV= $1,169.74
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
Answer:
Step-by-step explanation:
let the number be x
(x+6)/3 =21
x+6=21*3
x+6=63
x=57