Answer: $787 was originally borrowed.
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
From the information given,
Total amount = $1181.05
Interest = total amount - principal
I = 1181.05 - P
R = 15%
T = 1 year
Therefore,
1181.05 - P
Therefore,
1181.05 - P = (P × 15 × 1)/100
1181.05 - P = 0.15P
P + 0.15P = 1181.0
1.5P = 1181.05
P = 1181.05/1.5
P = $787
Answer:
24.46
Step-by-step explanation:
Answer:
$110
Step-by-step explanation:
Let a, b, and c represent the earnings of Alan, Bob, and Charles. The problem statement tells us ...
a + b + c = 480 . . . . . . the combined total of their earnings
-a + b = 40 . . . . . . . . . . Bob earned 40 more than Alan
2a - c = 0 . . . . . . . . . . . Charles earned twice as much as Alan
Adding the first and third equations, we get ...
(a + b + c) + (2a - c) = (480) + (0)
3a + b = 480
Subtracting the second equation gives ...
(3a +b) - (-a +b) = (480) -(40)
4a = 440 . . . . . . . . simplify
a = 110 . . . . . . . . . . divide by the coefficient of a
Alan earned $110.
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<em>Check</em>
Bob earned $40 more, so $150. Charles earned twice as much, so $220.
The total is then $110 +150 +220 = $480 . . . . as required
Answer:
2.025
Step-by-step explanation:
In this problem, you don't necessarily need to find the exact values of a and b. Rather, find the value of (a+b) first, and then you can substitute it into the next equation. First, you can divide both sides of the first equation 2(a+b)= -8.1 by 2, to get (a+b)=-4.05. Now, subsitute the value of (a+b) into the second equation, -0.5(a+b), to get -0.5(-4.05). From here, you can calculate that -0.5 times -4.05 is 2.025. Hope this helped!
Answer:
V = PI*r2h
In plain english the volume of a cylinder can be calculated by squaring the radius, multiplying that value by PI, then multiplying by the height. You can also think of it as finding the area of a flat circle (PI * radius squared) and multiplying by the height to find volume.
Here is a step-by-step case that illustrates how to find the volume of a cylinder with a radius of 3 inches and a height of 5 inches. In this example PI will be 3.14.
V = pi * r2 * h
= pi * 32 * 5
= pi * 9 * 5
= 3.14 * 45
= 141.37 cubic inches
Step-by-step explanation:
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm.
