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4 years ago

6

You deposit $7,500 into an account. After 10 years, the account is worth $44,187.02. If the interest compounds quarterly, calcul

ate the annual interest rate.

1 answer:

Degger [83]4 years ago

3 0

The quarterly interest rate is
.. (44187.02/7500)^(1/40) -1 = 0.0453358
so the annual rate is 4 times that amount, about 18.13%

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Brady rode his bike 70 miles in 4 hours. He rode at an average speed of 17 miles per hour for t hours and at an average rate of

IceJOKER [234]

Answer:

Brady rides at slower speed which is 17 miles/hours for <em><u>3 hours and 36 minutes.</u></em>

Step-by-step explanation:

Given:

Brady rode 70 miles in 4 hours.

For $t$ hours he rode at the average rate of 17 miles/hour

For rest of the time he rode at the average rate of 22 miles per hour.

To find the time Braady rode at the slower speed.

Solution:

Total time of riding = 4 hours

Time for which Brady rides at 17 miles/ hour = $t$ hours

Distance covered in $t$ hours = $Speed\times time=17\times t =17t\ miles$

So, time for which Brady rides at 22 miles/ hour = $(4-t)$ hours

Distance covered in $(4-t)$ hours = $Speed\times time=22\times(4-t) =(88-22t)\ miles$

Total distance can be given as:

⇒ $17t+88-22t$

Simplifying.

⇒ $-5t+88$

Total distance given =70 miles.

Thus, the equation to find $t$ can be given as:

$-5t+88=70$

Subtracting both sides by 88.

$-5t+88-88=70-88$

$-5t=-18$

Dividing both sides by -5.

$\frac{-5t}{-5}=\frac{-18}{-5}$

∴ $t=3.6$ hours

$3.6\ hours = 3\ hour+ (0.6\times 60)\ minutes = 3\ hour\ 36\ minutes$

Thus, Brady rides at slower speed which is 17 miles/hours for 3 hours and 36 minutes.

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3 years ago

What is the shape of the cross-section taken perpendicular to the base of a cone?

blondinia [14]

Triangle is the answer

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3 years ago

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All of the following have the same solution except _____.

miskamm [114]

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3 years ago

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How do i do these without a calculator

77julia77 [94]

Answer:

Step-by-step explanation:

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3 years ago

They sell cakes for $4 each and spent $45 for advertisement if each cake costs 80 cents to make, how many cakes do they need to

Damm [24]

Answer:

They need to sell 14 cakes to break even.

Step-by-step explanation:

The selling price of each cake = $ 4

The amount spent on the advertisement = $45

The cost of each cake = 80 cents =$ 0.8

Let us assume the number of cakes sold to BREAK EVEN = m

⇒ For m cakes: TOTAL COST = TOTAL EARNED

Now, if the cost of 1 cake = $0.8

So, the cost of making m cakes = m X ( cost of 1 cake) = m x ( 0.8) = 0.8 m

Total Cost of m cakes = Making cost + Advertisement cost

= 0.8 m + $45

⇒C = 0.8 m + 45 ........... (1)

Here, the selling price of 1 cake = $4

So, the cost of selling m cakes = m X ( Sell cost of 1 cake)

= m x ( 4) = 4 m

⇒S = 4 m ........... (2)

To break even: S = C ⇒0.8 m + 45 = 4 m

or, 45 = 3.2 m

or, m = 45/3.2 = 14.06≈ 14

⇒ m = 14

Hence, they need to sell 14 cakes to break even.

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3 years ago