It’s just the difference in circumferences, so it’d be
S = 2 Pi r
S = 2 * 3.14 * 30
S = 188.4m
I = 2 Pi r
I = 2 * 3.14 * (30 + 2)
I = 200.96m
I - S = 200.96 - 188.4
= 12.56m
Therefore, Isadora had to ride 12.56m more than Sophie
Answer: 243 cm
Step-by-step explanation:
Substitute t for 1 to find the amount it grew in one year.
H=210 +33(1)
H=210 + 33
H= 243
Answer:
Step-by-step explanation:
Given:
The table is given as:
x 0 4 7 8
y 0 24 42 48
The relationship between 'x' and 'y' is a proportional relationship.
A proportional relationship is one in which one variable varies directly with the other by a factor of 'k' also known as constant of proportionality and 
A proportional relationship is given as:
Now, we plug in 'x' and 'y' values and find the value of 'k'.
Let 
Therefore, the constant of proportionality is 6. Hence the complete equation is given as:
First problem.
Call a and b the sides. Since the sides are doubled they are 2*a and 2*b
You know the area is given by a*b.
2a*2b = 12
4ab = 12
So divide both terms for 4 :)
ab = 3 ft^2
Second problem.
Find the volume of the two solids.
The first contenitor is a parallelepiped.
V = abh
a = 10
b = 5
h = 6
V = 10*5*6 = 300 in^3
The second solid is a cilinder.
V = pi*r^2*h = 3^2*10*pi = 9*10*pi = 90pi in^3 = 90*3,14 = 282,6 in^3
The first contenitor hold more ice cream
10.) The realized income each week is $79.87.
Add both payments and tips then deduct the tax deductions (multiply the rates to the gross income per week).
Gross income per week: (4.70 + 3.85) x 13hrs = 111.15
Tax deductibles: 8.50 (FICA) + 13.67 (federal tax) + 9.11 (state tax) = (31.28)
Realized income per week: 111.15 - 31.28 = 79.87
11.) The value of the stocks in its second year is $1,340.75.
Multiply the investment by the percentage increase, then add the result to the investment. You can also use this formula = investment x (1 + %)
First year: 1,050 x (1 + 0.13) = 1,186.50
Second year: 1,186.50 x (1 + 0.13) = 1,340.75
12.) a. The total value of your stocks after 2 years is $2,046. Use <em>investment x (1 - %)</em> in computing the decreases while <em>investment x (1 + %)</em> in computing the gains.
First year: 2,000 x (1 - 0.07) = 1,860
Second year: 1,860 x (1 + 0.10) = 2,046
b. The balance in your savings account after 2 years is $2,150.74. Use this formula = investment x (1 + rate)^number of years
Balance = 2,000 x (1 + 0.037)^2 = 2,150.74
13.) Your question is incomplete.
