Answer:
18 years, 4 months and 10 days.
Step-by-step explanation:
Given that the person invests $ 1000 in an account with compound interest each month, with an interest rate of 6%, to determine how long the investment must maintain to reach $ 3,000, the following calculation must be performed:
3,000 = 1,000 (1 + 0.06 / 12) ^ Yx12
3,000 = 1,000 (1 + 0.06 / 12) ^ 18.36x12
3,000 = 3,000
Therefore, the person must keep his investment for a period of 18.36 years. Since 12 x 0.36 is equal to 4.32, the total investment time should be 18 years, 4 months and 10 days.
Answer:
Part A: Options D and E
Part B: Disagree
Step-by-step explanation:
Part A:
From the graph attached,
Option A
The object is launched from the ground.
False.
Since, the object is launched from the 5 feet above the ground.
Option B
The flight is symmetric about the line t = 10
False.
Since, the flight is symmetric about the line t = 12
Option C
The object reaches a maximum height of 12 feet.
False.
At t = 12 seconds maximum height of the object = 19.4 feet
Option D
The object is flying in the air during the interval 0 < t < 25.93
True.
Option E
The object reaches its maximum height after 12 seconds of flight.
True.
After 12 seconds object is at the maximum height 19.4 feet.
Therefore, Options D and E are the correct options.
Part B:
From the table attached,
h(4) = 13
h(20) = 13
At t = 4 and 13 seconds height of the object is same.
h(4) = h(20)
But Timothy said h(4) < h(20)
Therefore, disagree with the statement of Timothy.
The rule for dividing fractions is "invert and multiply." What you invert is the denominator fraction.
Example: (1/3) / (4/5) = (1/3)×(5/4) . . . . . the denominator 4/5 has been inverted to 5/4 and is now a multiplier.
All the rest of the rules for fractions are unaltered--conversion from mixed numbers to improper fractions, addition and subtraction--they're all the same.
Answer:
$21.29 per dancer
Step-by-step explanation:
The materials cost $373.78 for all 22 dancers, so the cost per dancer is ...
$373.78 / 22 = $16.99
Adding the $4.30 cost of gloves to that brings the total for each dancer to ...
$16.99 +4.30 = $21.29 . . . . for each dancer
Answer:

Explanation:

using associative property, separate

take common term, factorise

final answer
