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larisa86 [58]
3 years ago
9

Thomas sold 412 boxes of cookies at a cost of 1175 what is an estimate closest to the cost of a box of cookies

Mathematics
2 answers:
Nata [24]3 years ago
6 0

Answer:

285

Step-by-step explanation:

1175 divided by 412 = 2.85194174757

that would be around 2.85

Anit [1.1K]3 years ago
3 0
I believe it’s 2.8$ Just divide 1175 by 412 and you’ll get the answer
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Step-by-step explanation:

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The principal amount, $5500, earns 3.75% interest compounded continuously.
Eva8 [605]

Answer:

a)

The function that represents the value of the account at any time, t

\:\:A=Pe^{rt}

b)

The total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 5,500.00 at a rate of 3.75% per year  compounded continuously  over 6 years is $ 6,887.77.

Step-by-step explanation:

a. Write the function that represents the value of the account at any time, t.

The function that represents the value of the account at any time, t

\:\:A=Pe^{rt}

where

A represents the Future Value

P represents the Principle (Initial Value)

r represents the Interest rate

t represents the time

b) What will the value be after 6 years?

Given

The principal amount  P = $5500

Annual Rate r = 3.75% = 3.75/100 = 0.0375

Time Period  t  = 6 years

To Determine:

The total amount A = ?

Using the formula

\:\:A=Pe^{rt}

substituting the values

A\:=\:5500\left(2.71828\right)^{\left(0.0375\right)\left(6\right)}

A=5500\cdot \:2.71828^{0.225}

A = $ 6,887.77 $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 5,500.00 at a rate of 3.75% per year  compounded continuously  over 6 years is $ 6,887.77.

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3 years ago
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Kelly spends 5 hours each week playing softball and 4 hours each week practicing her violin. Write the ratio of hours spent prac
Pavel [41]

Given:

Kelly spends 5 hours each week playing softball and 4 hours each week practicing her violin.

To find:

The ratio of hours spent practicing violin to hours spent playing softball three different ways.

Solution:

We have,

Time spend on Softball = 5 hours

Time spend on Violin = 4 hours

The ratio to hours spent practicing violin to hours spent playing softball is

\text{Required ratio}=\dfrac{\text{Time spend on Violin}}{\text{Time spend on Softball}}

\text{Required ratio}=\dfrac{4}{5}

It can be written as

\text{Required ratio}=4:5

\text{Required ratio}=4\text{ to }5

Therefore, the ratio of hours spent practicing violin to hours spent playing softball three different ways are \dfrac{4}{5}, 4:5 and 4 to 5.

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