Answer:
False
Step-by-step explanation:
Definition of Tangency : Tangent to a circle is a line that touches the circle at one point, which is known as Tangency.
At the point of Tangency, Tangent to a circle is always perpendicular to the radius.
We are supposed to find The point of tangency of line S to circle A is M
Considering the definition,
The lines S touches the circle at point J not at M
So,The point of tangency of line S to circle A is M is False
So, Option B is correct
Hence The point of tangency of line S to circle A is M is False
Complete Question
If $12000 is invested in an account in which the interest earned is continuously compounded at a rate of 2.5% for 3 years
Answer:
$ 12,934.61
Step-by-step explanation:
The formula for Compound Interest Compounded continuously is given as:
A = Pe^rt
A = Amount after t years
r = Interest rate = 2.5%
t = Time after t years = 3
P = Principal = Initial amount invested = $12,000
First, convert R percent to r a decimal
r = R/100
r = 2.5%/100
r = 0.025 per year,
Then, solve our equation for A
A = Pe^rt
A = 12,000 × e^(0.025 × 3)
A = $ 12,934.61
The total amount from compound interest on an original principal of $12,000.00 at a rate of 2.5% per year compounded continuously over 3 years is $ 12,934.61.
It is one fourth of a whole circle. So, you can find the area of the whole circle and then divide by 4 to find the area of your quarter circle. You know that the area of a whole circle is found by using the formula A = pi * r^2, where you square your radius and multiply it by pi.
Answer:
Step-by-step explanation:
We need a system of equations for this. The first sentence in the problem tells us the first equation. "Sum" means we are adding, "is" means equals. Therefore, the first equation is
x + y = 10.3
The second sentence tells us the second equation. "Difference" means to subtract. Therefore, the second equation is
x - y = 2.84
It would be best to solve this by elimination (also called addition). Line them up one over the other so the variables also line up:
x + y = 10.3
x - y = 2.84
And as you see, when you add straight down, the y's eliminate each other, leaving us with
2x = 13.14 and divide by 2 to get that
x = 6.57
Now plug that in for x to solve for y in either one of the equations. I'll use the first one:
6.57 + y = 10.3 so
y = 3.73