Area=πr^2
find the area then divide by 8
we know that diameter=2radius or diameter/2=radius so
12=diameter
12/2=radius=6
subsitute
area=π(6)^2
area=36π
divide 36π by 8
36π/8=18π/4=9π/2π=4.5π
area of one section is 4.5π square feet or if we aprox pito 3.14159 then we get
4.5(3.14159)=area=14.1372 square feet or 14.14 square feet
Since the troop made 10 times her then you multiply 950 by 10 and that will give you 9510
Divide the APR by 360 days and multiply it by 30 days to get the monthly interest. Each loan is usually secured by the car you bought. So we will use the secured APR.
8. Average rating secured apr: 5.85% divide by 360 multiply by 30: 0.4875% monthly rate
Cost of car: 19,725 ; sales tax: 4.75% ; down payment: 2,175
19,725 x 1.0475 = 20,661.94 - 2,175 = 18,486.94 loan amount
18,486.94 x 0.4875% = 90.12 accrued interest for the 1st month.
9. Excellent rating secured apr: 4.80% divide by 360 multiply by 30: 0.40% monthly rate
Cost of car: 15,867 ; sales tax: 5.25% ; down payment: 10% of total cost
15,867 x 1.0525 = 16,700.02 x 90% = 15,030.02 the principal balance at the start of the loan.
10. Fair rating secured apr: 7% divide by 360 multiply by 30: 0.5833% monthly rate
Cost of new car: 19,072 ; sales tax: 4.5% ; down payment: 1,200
Cost of used car: 15,365; sales tax: 4.5% ; down payment: 1,200
19,072 x 1.045 = 19,930.24 - 1,200 = 18,730.24
18,730.24 x 0.5833% = 109.25 accrued interest
15,365 x 1.045 = 16,056.43 - 1,200 = 14,856.43
14,856.43 x 0.5833% = 86.66 accrued interest
109.25 - 86.66 = 22.59 is the difference in interest accrued by the end of the first month.
The first three you should check off because the man lost less so the last few questions would be wrong
slope = - 2, midpoint = (2, - 2 )
the slope m is calculated using the ' gradient formula '
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (4, - 6 ) and (x₂, y₂ ) = (0, 2 )
m = 
= 
= - 2
calculate midpoint using midpoint formula
{
(4 + 0 ), (- 6 + 2 )] = (2, - 2 )
gradient of perpendicular bisector = - 
=
equation in slope-intercept form is
y = mx + c ( m is slope and c the y-intercept )
partial equation is y = x + c
to find c substitute ( 2, - 2) into the partial equation
- 2 = 1 + c ⇒ c = - 3
y = x - 3 in slope-intercept form
