$~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$2940\\ P=\textit{original amount deposited}\dotfill & \$7000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &7 \end{cases} \\\\\\ 2940=7000(\frac{r}{100})(7)\implies \cfrac{2940}{7000(7)}=\cfrac{r}{100}\implies \cfrac{3}{50}=\cfrac{r}{100} \\\\\\ 300=50r\implies \cfrac{300}{50}=r\implies \stackrel{\%}{6}=r$

4 0

2 years ago

Read 2 more answers

The temperature in the morning was -3.The temperature dropped 11 degrees by night. What was the temperature at night ?

Pachacha [2.7K]

Answer:

The temperature was -14 degrees.

Step-by-step explanation:

The word "dropped" indicates that one has to subtract to the result. -3 - 11 is -14.

7 0

3 years ago

Find the area of the shaded figure below. Use 3.14 for pi. NO LINKS OR IMPROPER ANSWERS

Lapatulllka [165]

Answer:

The area of the shaded region is about 58.9 square inches.

Step-by-step explanation:

To solve this question, let's recall some facts.

We know that the area of a circle can be defined as the following:

$A = \pi r^2$

where r is the radius of the circle.

We too know that circles have a diameter and a radius. The diameter of a circle is the distance a line that connects two points on a circle with its center, and the radius is half of the diameter.

We also know that figures can touch each other, or be in tangent with each other. For the sake of simplicity, we're going to assume that the shaded circles are in tangent with each other, or touch each other. Because they touch each other, these three circles can share 5 in. of the 15 in. rectangle. This means that the circles are 5 in. in diameter, or 2.5 in in radius.

Now, we can solve the problem.

Because we have 3 circles, each with 2.5 in. radii, we can have the following expression which represents the total area of these circles:

$3*\pi (2.5)^2$