Taber invested money in an account where interest is compounded every year. He made no withdrawals or deposits.
The function A(t) = 525(1 + 0.05)t represents the amount of money in the account after t years.
The function is explained as below
Amount = Principal * ( 1 + interest rate ) ^ time
Principal is the amount that is invested in the beginning
Therefore, Taber originally invested $525
First question:. A and D. Second question: B and C .
Rectangle JKLM:
p = 140 ft
w = 30ft
l = (140 - 2(30))/2 = 40ft
A = (30)(40) = 1200 ft²
Rectangle STUV:
l = 8yd = (8)(3) = 24 ft
24ft/40ft = 3/5
so . .
w = 3/5*30 = 18ft
A = 3/5*1200 = 720 ft²
Ratio of area JKLM:STUV = 1200/720 = 5/3
Answer:
Usually, angle bisectors divide a given angle into two separate angles with equal measures, or two equal parts.
Based off of the picture you've given, it seems as if the angle bisector doesn't split the angle into 2 equal measures, since one angle looks like it will be bigger than the other.
In point slope form, the equation is y-7=(-10/3)(x+9). In slope-intercept form, it is y=(-10/3)x-23.
First find the slope of the line. The formula for slope is
m=(y₂-y₁)/(x₂-x₁)
Using our points, we have
m=(-3-7)/(-6--9) = -10/3
Plug this into point slope form:
y-y₁=m(x-x₁)
y-7=(-10/3)(x--9)
y-7=(-10/3)(x+9)
Using the distributive property:
y-7=(-10/3)*x+(-10/3)*9
y-7=(-10/3)x-90/3
y-7=(-10/3)x-30
Add 7 to both sides:
y=(-10/3)x-23
