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3 years ago

A 3-pound bag of bananas costs $2.88. What is the price per ounce?

Mathematics

1 answer:

Alborosie3 years ago

4 0

Answer: 6 cents

Step-by-step explanation:

1 pound = 16 ounces

3 pounds = 48 ounces

2.88 ÷ 48 = 0.06

0.06 = 6 cents.

One ounce of bananas cost 6 cents.

Hope this helps!

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Jessica invests $250 each quarter in an ordinary annuity with a 5% interest rate compounded quarterly. Determine the accumulat

madam [21]

Answer:

Step-by-step explanation:

Usimg formula for calculating compound interest.

A = P(1+r/n)^nt

P is the principal =$250

r is the rate = 5%

t is the time = 25years

n = 1/4(compounded quarterly)

Substituting to get the amount A.

A = 250(1+5/25)^25/4

A = 250(1+0.2)^6.25

A = 250(1.2)^6.25

A = 250(3.125)

A = $781.31

Hence the accumulated amount in Jessica's annuity after 25 years is $781.31

4 0

3 years ago

In a volleyball game, a player on one team spikes the ball over the net when the ball is 10 feet above the court. The spike driv

Fynjy0 [20]

Answer:

4.75 seconds

Step-by-step explanation:

Initial height of the ball from the ground = 10 feet

Upward initial velocity given = 55 feet per second

Value of g ( acceleration due to gravity) = 32.2 feet per s²

Motion of the ball:

The ball first goes vertically upwards, gravity decelerates the body and it momentarily comes to rest at a point in its upward trajectory, which is the point of maximum height. From this point, to the ground, the ball behaves as a freely dropped body.

Till the ball reaches its maximum height:

u = + 55

v = 0 ( final velocity is zero)

a = - 32.2 (since it is deceleration)

we know that v = u + at

⇒ 0 = 55 - 32.2t

⇒ t = 1.7 s

Also , we have s = ut + (1/2)at²

Here, s is the maximum height from the point where ball is thrown

So, s = 55(1.7) - (0.5)(32.2)(1.7)(1.7)

⇒ s = 140 feet

So at a height of 140 feet + 10 feet (initial height) = 150 feet, the ball acts as a freely dropped body.