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Lisa [10]
3 years ago
5

The Richardson family is out to dinner at their favorite restaurant. The bill comes to $32.00. How much money should they leave

for the bill and a 20% tip
Mathematics
1 answer:
GrogVix [38]3 years ago
7 0

Answer:

The tip amount for the dinner bill is $ 6.4

Step-by-step explanation:

Given as :

The bill amount of the dinner = $ 32.00

The tip amount = 20 % of bill amount

Let The tip amount = $ T

So, According to question

The tip amount = 20 % of bill amount

Or, T = \frac{20}{100} × $32

or, T = 0.2 × $32

∴  T = $ 6.4

So The tip amount = T = $ 6.4

Hence The tip amount for the dinner bill is $ 6.4 Answer

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2 years ago
. Mrs. Rojas deposited $8000 into an account paying 4% interest annually. After 8 months Mrs. Rojas withdrew the $6000 plus inte
Mashcka [7]

well, keeping in mind that a year has 12 months, that means that 8 months is 8/12 of a year, when Mrs Rojas pull her money out.

~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\to \frac{8}{12}\dotfill &\frac{2}{3} \end{cases} \\\\\\ A=6000[1+(0.04)(\frac{2}{3})]\implies A=6000\left( \frac{77}{75} \right)\implies A=6160

well, she put in 6000 bucks, got back 160 extra, that's the interest earned in the 8 months.

what if she had left her money for 1 whole year, then

~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &1 \end{cases} \\\\\\ A=6000[1+(0.04)(1)]\implies A=6240

so had she left it in for a year, she'd have gotten 6240, namely 240 in interest, well, what fraction of a year's interest was earned? or worded differently, what fraction is 160(8 months) of 240(1 year)?

\cfrac{\stackrel{\textit{for 8 months}}{160}}{\underset{\textit{for 12 months}}{240}}\implies \cfrac{2}{3}

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<em><u>For example:</u></em>

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