Answer:
Step-by-step explanation:
I'm going to use a Pythagorean identity to help make this make sense.
We are given that cos(0) = 1, so
cos²θ = 1² which simplifies to
cos²θ = 1. So filling into our trig identity:
sin²θ + 1 = 1 and
sin²θ = 0 then
sinθ = √0 so
sinθ = 0
so
sin(0) = 0
Answer:
a=15.21 ft^2
Step-by-step explanation:
a=pi(r)^2
d=2r
A=1/4pi(d)^2=1/4pi(4.4)^2=15.20531ft^2
Answer:
Kindly check explanation
Step-by-step explanation:
When we have an exponential function, this means that a certain item of sum changes by a fixed percentage rate over a certain period of time.
Decay in Mathematics means reduction. Hence, Applying this knowledge to the concept of exponential Decay, we could say exponential deacy means a reduction process an object or thin undergoes as it decreases by a fixed percentage rate over a certain period of time.
Mathematically, exponential Decay is expressed as :
y = a(1-b)^x
Where, a = Initial amount
(1 - b) = Decay factor ; where b = decay rate.
x = period.
If you borrowed $100, then your monthly payment is $2.44
If you borrowed $200, then your monthly payment is 2*2.44 = 4.88
etc etc
We can set up a proportion
2.44/100 = x/13300
to figure out the monthly payment x. Cross multiply and solve for x
2.44*13300 = 100*x
100x = 2.44*13300
100x = 32452
x = 32452/100
x = 324.52
So the monthly payment is $324.52
An alternative way to get this monthly payment is to apply 2.44% to 13300, which is another way to view the phrase "monthly payment per $100 is 2.44"
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There are 48 months in 4 years (start with 12 mon = 1 yr, then multiply both sides by 4) so we multiply 48 by the monthly payment to get the result 48*324.52 = 15,576.96. This is the total amount you have to pay back which is the principal plus interest.
Subtract off the principal (amount borrowed) to find the interest or finance charge: 15,576.96 - 13,300 = 2,276.96
Answer: Choice B
