Answer:
easy peasy (again)
Step-by-step explanation:
given is that, area of the larger one is 25 times more than the smaller one
so, just put it in the area formula,
let the radius of the larger circle be represented by = R
and of the smaller circle be = r
then, (pi) (R)^2 =25 x (pi) (r)^2
=> dividing the equation by pi on both sides, also taking square root on both sides
=> R = 25 r
that would be the radius of the larger circle is 25 times bigger than the smaller radius
(all u need is to pay attention to the data given in the question and the relation between all that data itself) then it'll look like magic of how the question gets solved...the answer is always in front of you, only thing is to look harder ...good luck with what you are aiming to achieve
Answer:
1/6
Step-by-step explanation:
5/6 divided by 5 is 1/6
Step-by-step explanation:
As seen from the graph, f(x) and g(x) intersect each other when x = 3.
Hence, f(3) = g(3).
Multiply: (3x-4)(2x-5)
This comes out to 6x^2 - 15x - 8x + 20
Combine the x terms and you'll be done.
The given formula is f(x) = 20(1.2)^x
The formula is the starting amount multiplied by 1 + the percentage raised to the number of weeks.
A) the percent increase is 20% ( 1.2 in the formula is 1 +20% as a decimal)
B) the original amount is $20
C) for 2 weeks, replace x with 2 and solve:
20(1.2)^2
20(1.44) = $28.80
After 2 weeks the coupon is $28.80
D) To solve for the number of weeks (x) set the equation equal to $100:
100 = 20(1.2)^x
Divide both sides by 20:
5 = 1.2^x
Take the natural logarithm of both sides:
ln(5) = ln(1.2^x)
Use the logarithm rule to remove the exponent:
ln(5) = x ln(1.2)
Divide both sides by ln(1.2)
x = ln(5) / ln(1.2)
Divide:
X = 8.83
At 8.83 weeks the coupon would be $100, so after 9 weeks the coupon would be greater than $100
The answer is 9 weeks.
