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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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a week before election day, 276 out of 450 people said they would vote for the republican candidate. if 15,240 registered voters

Ann [662]

Answer:

(a) $\frac {276}{450}=\frac {y}{15240}$

(b) We cross multiply the probability by the total voters

Step-by-step explanation:

(a)

Probability of getting a republican voter is

$\frac {276}{450}=\frac {138}{225}=\frac {46}{75}$

$\frac {276}{450}=\frac {138}{225}=\frac {46}{75}=\frac {y}{15240}$

These are found by dividing the first numerator and denominator by 2, then by 3

To make it complete, the situation is therefore defined as $\frac {276}{450}=\frac {y}{15240}$ where y is unknown value

(b)

Cross multiplication of the probability and number of voters gives the actual figure of y in the equation formed in part a of the question.

(c)

Since we have 15240 voters who plan to participate in election, we cross multiply to get the approximate number of republican voters which yields

$\frac {46}{75}\times 15240=9347.2\approx 9347$

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3 years ago

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sammy [17]

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3 years ago

Read 2 more answers

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alina1380 [7]

Answer:

We are have the function f(x).

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So, if f(x) is increasing (or deceasing), then f(x)+2 will be increasing(or decreasing) respectively.

Moreover, f(x)+2 will be even or odd if f(x) is even or odd respectively.

Part 2: It is given that the function f(x) is transformed to $\frac{-1}{2}f(x)$

This gives us that the function is shrinked vertically by a factor of $\frac{1}{2}$ followed by a reflection across x-axis.

Also, the y-intercept of is $\frac{-1}{2}f(0)$ .

The graph of f(x) after changing to $\frac{-1}{2}f(x)$ will flip over the x-axis.

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3 years ago

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kvv77 [185]

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