The area of the circle = π r² = π (d/2)²
Where r is the radius of the circle
And d is the diameter of the circle
d = 2r OR r = d/2
given d = 10 in ∴ r = d/2 = 10/2 = 5 in
∴ The area of the circle = π r² = π * 5² = 25π ≈ 78.54 in²
The correct answer is the fourth option 78.54
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very important note:
There is a mistake in the dimension of the answers.
The dimension of the given diameter is inch , while the dimensions of the answers is square cm.
If it is required to find the area in square cm
∵ 1 inch = 2.54 cm
∴ r = d/2 = 10/2 = 5 in = 5 * 2.54 cm = 12.7 cm
∴ Area = π r² = π * (12.7)² = 161.29π ≈ 506.7 square cm
Ans. Since the annual rate is not compunded (for example, compounded monthly) you will have to pay in interest $27.41, and the total payment is $1,061.41
Step-by-step explanation:
Hi, since the balance is 1 month overdue, it means that you owe 2 months of interest to this obligation, but before we start finding the interest of your credit card, first let´s find the effective monthly equivalent rate for that 17% annual interest rate.
The formula is as follows.
Therefore
So your monthly interest rate is 1.317%. Now let´s find the amount of interests that you have to pay for 2 months. This is the formula.
Where "n" is the period of time in months that you owe to the financial institution. The result of that is:
This way, interest are = $27.41 and the total amount that you will have to pay is:
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Payment=Present Value+Interest=1,034+27.41=1,061.41
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To calculate the amount that Vince should pay back, we can use the formula of
A = P + PRT
where A is amount (unknown), P is principal ($900), R is rate of interest (1.5%).
Which in this case, Vince did follow the correct formula, but what he did wrong, it that he incorrectly changed the rate to a decimal. Instead, 1.5% should be 0.015 in decimal form.
So, the correct formula should be
A = 900 + 900(0.015x2)
A = 900 + 27
A = 927
So, the correct amount Vince should pay is $927.
hello :
y = 2(x + 3)² - 5
y = 2(x²+6x+9) -5
y = 2x² +12x +13...(answer : A) y=2x^2+12x+13 )
Option (a) is correct.
The standard form the equation is
Step-by-step explanation:
Given : the vertex form of the equation of a parabola is
We have to write the given equation in standard form and choose the correct from the given options.
Consider the given equation of parabola
The standard form of equation of parabola is
We can obtain the standard form by expanding the square term in the given equation.
Using algebraic identity , we have,
Solving brackets, we get,
Simplify, we get,
Thus, The standard form the equation is
Answer:
a) The CDF of X/Y is calculated as:
for 
for 
Note: Z = X/Y
b) Probability that A finishes before B = 1/3
Step-by-step explanation:
For clarity and easiness of expression, this solution is handwritten and attached as a file. Check the complete solution in the attached file.
