Answer:
I believe the answer is $20,073.38
Step-by-step explanation:
Step 1: Find the percentage. The formula for annual compound interest is A = P(1 + r)^t, where A = amount (total amount), P = principal (initial amount), r = rate (percentage), and t = time (in years). Our rate is 6%, which is 0.06 in decimal form. Add it to 1. 1 + 0.06 is 1.06.
Step 2: Raise 1.06 to the 5th power. Because we are finding the amount in 5 years, we do that step. 1.06^5 is 1.3382255776.
Step 3: Do not delete the decimal from the calculator. Multiply it by 15,000 to find the total amount. When you do, you get 20,073.383664 or 20,073.38 when rounded to the nearest hundredth.
Answer:
see explanation
Step-by-step explanation:
Using the cosine addition formula
cos(A ± B ) = cosAcosB ∓ sinAsinB
Then considering the left side
cos²(45 + A) + cos²(45 - A)
= [ cos45cosA - sin45sinA ]² + [cos45cosA + sin45sinA]]²
= [ cosA - sinA ]² + [ cosA + sinA ]²
= cos²A - sinAcosA + sin²A + cos²A + sinAcosA + sin²A
= cos²A + sin²A
= 1
= right side , then proven
Answer:
4 and 5
Step-by-step explanation:
Step-by-step explanation:
2x2=4
2x2+.5x2=5
ANSWER:
24 points.
The amount of points Leila needs to score in her next game so that her average is 27 points per game is: 24 points.
STEP-BY-STEP EXPLANATION:
Let the amount of points Leila needs to score in her next game so that her average is 27 points per game = x
27 = total no. of points / total no. of games
27 = ( 33 + 28 + 24 + x ) / ( 3 + 1 )
27 = ( 85 + x ) / 4
27 × 4 = 85 + x
85 + x = 108
x = 108 - 85
x = 24
Answer:
0.02
infinete 0.0222222222
Step-by-step explanation:
or 45