Length = l = 3x
Width = w = 2x
P = 2l + 2w
P = 2(3x) + 2(2x)
530 = 6x + 4x
530 = 10x
53 = x
Length = 3x = 3(53) = 318 / 2 sides = 159
<span>Width = 2x = 2(53) = 212/ 2 sides = 106
the length of the lot is 159 yards
the width of the lot is 106 yards</span>
= (8 x 2) x (10^7 x 10^6)
= 16 x 10^13
= 1.6 x 10^14
answer is C
1.6 x 10^14
Answer:
You should choose an account with a 7% annual interest rate which is compounded quarterly
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
part 1)
we have
substitute in the formula above
part 2)
we have
substitute in the formula above
There are three unknowns in this problem. First, let's assign variables for these unknowns.
Let
x be the amount received by the first friend
y be the amount received by the second friend
z be the amount received by the third friend
Next, we formulate equations for the relationships
x = 4z
z = 4y
x + y + z = <span>$231,000
Solving simultaneously,
4(4y) + y + 4y = </span><span>$231,000
21y = </span><span>$231,000
y = $11,000
z = 4($11,000) = $44,000
x = 4($44,000) = $176,000</span>
One train will be travelling at 60 mph, and the other train will be travelling at 70 mph. 70 * 5.5 = 385, 60 * 5.5 = 330. 330 + 385 = 715
