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2 years ago

Compute the amount of interest earned in the following simple interest problem. A deposit of $1,295 at 7% for 180 days

Mathematics

1 answer:

anyanavicka [17]2 years ago

8 0

since there are 365 days in a year, so 180 days is really just 180/365 of a year, so

$~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$1295\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\to \frac{180}{365}\dotfill &\frac{36}{73} \end{cases} \\\\\\ I = (1295)(0.07)(\frac{36}{73})\implies I\approx 44.7$

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Can someone help me? Brainliest + Points!

iris [78.8K]

Answer:

D. $\frac{2}{5}$

Step-by-step explanation:

Since we know that the odds of an events can be found by dividing the probability that an event will occur by the probability that the event will not occur.

$\text{Odds of an event}=\frac{\text{Probability that event will occur}}{\text{Probability that event will not occur}}$

Probability of an event not occurring can be found by subtracting probability of the event occurring from 1.

$\text{Odds of an event}=\frac{\text{Probability that event will occur}}{1-\text{Probability that event will occur} }$

We have been given that probability of an event is 2/7.

Upon substituting our given values in above formula we will get,

$\text{Odds of the given event}=\frac{\frac{2}{7}}{1-\frac{2}{7}} }$

$\text{Odds of the given event}=\frac{\frac{2}{7}}{\frac{7-2}{7}} }$

$\text{Odds of the given event}=\frac{\frac{2}{7}}{\frac{5}{7}} }$

$\text{Odds of the given event}=\frac{2}{7}\times \frac{7}{5}$

$\text{Odds of the given event}=\frac{2}{5}$

Therefore, the odds of the same event are $\frac{2}{5}$ and option D is the correct choice.

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3 years ago

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3 years ago

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alexira [117]

Answer:

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