In order to calculate the compound amount and the amount of interest earned, we can use the formula below:
Where A is the compound amount after t years, P is the principal (initial amount) i is the interest rate and n is how many times the interest is compounded in a year.
So, for P = 71000, i = 0.0102, t = 4 and n = 4, we have:
Therefore the compound amount is $73952.87
The amount of interest is:
So the amount of interest earned is $2952.87.
Answer:
4th degree polynomial with leading coefficient of 1.
As x goes to negative or positive infinity, y goes to positive infinity in both cases.
Step-by-step explanation:
The degree of a polynomial is the highest exponent on the variable. Here it is 4.
The leading coefficient is the coefficient on the the term with the highest degree, Here there is none so it is 1.
The end behavior is how x and y behave at negative and positive infinity. When graphed, this equation has a W shape. This means at each end y goes to positive infinity.
Answer:
The answer is y squared over 12 minus x squared over 24 equals 1
Step-by-step explanation:
Answer:
e. 1.6π cm²
Step-by-step explanation:
Since the window is in a semi-circular shape, its area A = πD²/4 ÷ 2 = πD²/8 where D = diameter of window = 64 cm
Now, the error in the area dA = dA/dD × dD where dD = error in the diameter = 0.1 cm and dA/dD = derivative of A with respect to D.
So, dA/dD = d(πD²/8)/dD = 2 × πD/8 = πD/4
So, the differential dA = dA/dD × dD
dA = πD/4 × dD
Substituting D = 64 cm and dD = 0.1 cm into the equation, we have
dA = πD/4 × dD
dA = π × 64 cm/4 × 0.1 cm
dA = π × 16 cm × 0.1 cm
dA = π × 1.6 cm²
dA = 1.6π cm²
So, the maximum error in computing the area of the window is 1.6π cm²
