Answer:
Step-by-step explanation:
Given: Pauline withdrew $7.50 each day from her saving account.
She withdrew money for 3 days.
As Pauline is withdrawing the money, therefore the amount will be in negative
Now finding the expression for total amount of money withdrew.
Total money withdrew =
∴ Total money withdrew =
Hence, the expression to determine the total amount of money she withdrew is and Total money she withdrew is -$22.5
The average rate of change of the function is: 3.2.
<h3>What is the Average Rate of Change for a Function?</h3>Average rate of change =
Given the function, , the average rate of change over the interval of x = 2 to x = 6 would be calculated as shown below:
a = 2
b = 6
f(a) = f(2) = 3.2(2) + 25 = 31.4
f(b) = f(6) = 3.2(6) + 25 = 44.2
Average rate of change = (44.2 - 31.4)/(6 - 2) = 3.2.
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Answer:
Step-by-step explanation:
By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.
cos(30°) = √1 – sin230°
The value of sin30° is 1/2 (Trigonometric Ratios)
cos(30°) = √1 – (1/2)2
cos(30°) = √1 – (1/4)
cos(30°) = √(1 * 4 – 1)/4
cos(30°) = √(4 – 1)/4
cos(30°) = √3/4
Therefore, cos(30°) = √3/2