Cost of the lawnmower bought by Sarah = $320
Amount of down payment made by Sarah = $100
Amount paid by Sarah in 12 months = (12 * 25) dollars
= 300 dollars
Total amount paid by Sarah = (300 + 100) dollars
= 400 dollars
Excess amount paid as interest by Sarah = (400 - 320) dollars
= 80 dollars
Actual yearly rate of interest paid by Sarah = (80/320) * 100 percent
= 25 percent
So 25% yearly interest was paid by Sarah. The correct option is option "C".
Answer:
8 shelves
Step-by-step explanation:
As 28 multiple by 2 is 224 and 28*9 is 252 so she will have 8 full shelves
SA=2H(L+W)+LW for open box
20=2H(4+W)+4(W)
distribute
20=8H+2WH+4W
divide both sides by 2
10=4H+WH+2W
solve for 1 variable, pick W
10-4H=WH+2W
10-4H=W(H+2)
(10-4H)/(H+2)=W
V=LWH
subsitute 4 for V, subsitute H for H and (10-4H)/(H+2) for W
V=(4)(H)(10-4H)/(H+2)
V=(40H-16H²)/(H+2)
find max value
take deritivitive of this thing
V'=-16(H²+4H-5)/((H+2)²)
using sign chart
sign changes from positive to negative at H=1
so at H=1
find W
W=(10-4H)/(H+2)
W=2
the dimeionts are
length=4ft
width=2ft
height=1ft
(the volume is 8 cubic feet)
Answer:
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.
where <em>a</em> and<em> b</em> are the legs and <em>c</em> is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:
Substitute these values into the formula.
Solve the exponents.
- (9 cm)²= 9 cm*9 cm=81 cm²
- (11 cm)²= 11 cm*11 cm= 121 cm²
Add the values on the left side.
Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.
We are told to round to the nearest tenth.
The 1 in the hundredth place tells us to leave the 2 in the tenth place.
The hypotenuse is equal to <u>14.2 centimeters.</u>