the four transformation are rotation ,reflection , translation and enlargement
Step-by-step explanation:
Do you have a formula sheet or was one provided to you
Answer:
∠DCE≅∠BAE
Step-by-step explanation:
CPCTC is basically used at or near the end of a proof which asks the student to show that two angles or two sides are congruent. Corresponding means they're in the same position in the 2 triangles
two side CE and AE are equivillant in the expression
hence
∠DCE≅∠BAE is right option.
Cost = 300 x + 750 , where x is the number of the scooters;
Price = 900 - x
Profit = x ( 900 - x ) - ( 300 x + 750 ) =
= 900 x - x² - 300 x - 750 = - x² + 600 x - 750
d (Profit) = - 2 x + 600
- 2 x + 600 = 0
x = 600 : 2
x = 300
The company must produce 300 scooters to maximize the profit.
The maximum profit is:
- 300² + 600 · 300 - 750 = $89,250
The amount needed such that when it comes time for retirement is $2,296,305. This problem solved using the future value of an annuity formula by calculating the sum of a series payment through a specific amount of time. The formula of the future value of an annuity is FV = C*(((1+i)^n - 1)/i), where FV is the future value, C is the payment for each period, n is the period of time, and i is the interest rate. The interest rate used in the calculation is 4.1%/12 and the period of time used in the calculation is 30*12 because the basis of the return is a monthly payment.
FV = $3,250*(((1+(4.1%/12)^(30*12)-1)/(4.1%/12))
