Answer:
Step-by-step explanation:
<u>Use the interest formula:</u>
- I = Prt, where P - amount of loan, r- interest rate, t- time in years
<u>Robert:</u>
- I = 30000*(4.9/100)*4 = 5880
<u>Susan:</u>
- I = 30000*(4.5/100)*6 = 8100
<u>Difference in amounts of interest:</u>
Susan paid $2220 more
Answer: the area of the shaded region is 72.96 ft²
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Diameter of circle = 16 feet
Radius = diameter/2 = 16/2 = 8 feet
Area of circle = 3.14 × 8² = 200.96ft²
The sides of the square are equal. To determine the length of each side of the square, L, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
16² = L² + L²
256 = 2L²
L² = 256/2 = 128
L = √128 ft
Area of the square is
L² = (√128)²
Area = 128 ft²
Area of shaded region is
200.96 - 128 = 72.96 ft²
Answer:
7a + 5
Step-by-step explanation:
Distribute using PEMDAS.
Answer:
Zeros of a function: x = 1 and x = -10
Step-by-step explanation:
A zero of a function is the value of x when f(x) = 0. In other words it is the intersect point between x and y=f(x), when y =0.
First we need to make f(x)=0, so we would have:
.
If we factorize this quadratic function, we would have: 
So we get x = -10 and x = 1.
- x = 1 means that the diver hits the water 1 foot away horizontally from the board.
- x=-10 means the diver hits the water 10 feet behind the diving board.
Hope it helps!
Answer:
$30
Step-by-step explanation:
12.50/5=2.50
2.50*12=30