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azamat
3 years ago
10

i left home going to the movies. i had $90 when i left the house. i spent 31/45 on tickets, and out of the remaining cash i spen

t 1/7 on food n drinks.so how much money do i have left?
Mathematics
1 answer:
ad-work [718]3 years ago
8 0
First you can find \frac{31}{45} of 90. 

90 x \frac{31}{45} = 62

Next, you have $62 left and spent \frac{1}{7}  of it. Meaning you have \frac{6}{7} of 62 left.

62 x \frac{6}{7}  = about <span>53.14285
</span>
As your answer is not a whole number, you could round according to whatever guidelines your homework has given you (for example - rounding to the 2nd decimal place $53.14)

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Please help!!! ASAP someone please
murzikaleks [220]

Answer:

0.31 yr

Step-by-step explanation:

The formula for interest compounded continuously is

FV = PVe^{rt}

FV = future value, and

PV = present value

If FV is twice the PV, we can calculate the doubling time, t

\begin{array}{rcl}2 & = & e^{rt}\\\ln 2 & = & rt\\t & = & \dfrac{\ln 2}{r} \\\end{array}

1. Brianna's doubling time

\begin{array}{rcl}t & = & \dfrac{\ln 2}{0.065}\\\\& = & \textbf{10.663 yr}\\\end{array}

2. Adam's doubling time

The formula for interest compounded periodically is

FV = PV\left (1 + \dfrac{r}{n} \right )^{nt}

where

n = the number of payments per year

If FV is twice the PV, we can calculate the doubling time.

\begin{array}{rcl}2 & = & \left (1 + \dfrac{0.0675}{4} \right )^{4t}\\\\&= & (1 + 0.016875 )^{4t}\\& = & 1.016875^{4t}\\\ln 2& = & 4 (\ln 1.01688)\times t \\& = & 0.066937t\\t& = & \dfrac{\ln 2}{0.066937}\\\\& = & \textbf{10.355 yr}\\\end{array}

3. Brianna's doubling time vs Adam's

10.663 - 10.355 = 0.31 yr

It would take 0.31 yr longer for Brianna's money to double than Adam's.

3 0
3 years ago
10 of 10
DedPeter [7]

Answer:

-16

Step-by-step explanation:

10 Divided by 5=2

-16 + 2 = -14

5 0
3 years ago
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iris [78.8K]

Answer:

The unit rate is 4.5 days per trip

Step-by-step explanation:

So the equation would be 90 divided by 20

Simplified it is the same thing as 9 divided by 2

90 divided by 20 is 4.5

8 0
3 years ago
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Jacob is saving to buy an MP3 player that costs $195. He earns $225 a week at a part-time job. His expenses are $180 a week. If
Paha777 [63]

Jocab will take 4 more weeks to buy that MP3 player.

<u>Step-by-step explanation:</u>

Given:

Cost of MP3 player = $ 195

Earning per week = $ 225

Expenses per week = $ 180

To Find:

Weeks still required to save money for buying MP3 player.

Formula to be used:

Savings per week = Earning - Expenses

Solution:

Savings per week = Earning - Expenses

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Already saved = $ 55

Need to save = $ 195 - $ 55 = $ 140

So for 4 weeks savings = $ 45 × 4 = $ 180

Thus Jocab will take 4 more weeks to buy that MP3 player.

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Answer:

Estimation is important because It is used to determine how reasonable a quotient is, as well as making sure its within reasonable range.

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