Please help on my hw
1 answer:
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Answer:
$3628.24
Step-by-step explanation:
we use the formula for accrued value (A) with compounded interest:
where A= accrued value (principal plus the accumulated interest)
P = principal -> in our case $6000
r = annual interest rate (in decimal form) -> in our case 0.06
n = number of compoundings per year. In our case 2 (semiannually)
t = time in years -> in our case 8
Since this is the value of principal plus accumulated interest, we subtract from it the principal ($6000) to get the value of just the interest:
$9628.24 - $6000 = $3628.24
I'm going to assume that the room is a rectangle.
The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle.
You're given that the length, l = (x+5)ft and the width, w = (x+4)ft. You're also told that the area, A = 600 sq. ft. Plug these values into the equation for the area of a rectangle and FOIL to multiply the two factors:
Now subtract 600 from both sides to get a quadratic equation that's equal to zero. That way you can factor the quadratic to find the roots/solutions of your equation. One of the solutions is the value of x that you would use to find the dimensions of the room:
Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
Length = x + 5 = 20 + 5 = 25 ft.
Width = x + 4 = 20 + 4 = 24 ft.
The dimensions of your room are 25ft (length) by 24ft (width).
The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle.
You're given that the length, l = (x+5)ft and the width, w = (x+4)ft. You're also told that the area, A = 600 sq. ft. Plug these values into the equation for the area of a rectangle and FOIL to multiply the two factors:
Now subtract 600 from both sides to get a quadratic equation that's equal to zero. That way you can factor the quadratic to find the roots/solutions of your equation. One of the solutions is the value of x that you would use to find the dimensions of the room:
Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
Length = x + 5 = 20 + 5 = 25 ft.
Width = x + 4 = 20 + 4 = 24 ft.
The dimensions of your room are 25ft (length) by 24ft (width).
Answer:
88 Inches
Step-by-step explanation:
For any bicycle tire of a given diameter, the approximate distance moved by the bicycle each time the wheel goes around is determined by the circumference of the circular wheel.
Since the diameter =28 Inches
Circumference =
The bicycle moves 88 Inches forward each time the wheel goes around.