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FromTheMoon [43]

3 years ago

15

The river family invested $4300 in a certificate of deposit (cd). The rate of interest is 2.8% compounded yearly. Give the value

of the cd at the end of 6 years

2 answers:

alexgriva [62]3 years ago

7 0

Answer:

$722.40

Step-by-step explanation:

2.8% x 4300 = 120.4

120.4 x 6 = 722.40

tamaranim1 [39]3 years ago

3 0

The answer is $722.40

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A girl starts to walk to her school, which is 20 miles away, at 6:50 and at a rate of 3 miles per hour. After a while, her dad p

Alexeev081 [22]

The girl walked a distance of $\boxed{{\mathbf{5 miles}}}$ in her way.

Further explanation:

The time can be calculated as,

${\text{ time}}=\frac{{{\text{distance}}}}{{{\text{speed}}}}$

Given:

It is given that a girl stands 20 miles away from the school at $6:50{\text{ am}}$ and she started walking at the rate of $3{\text{ mi/hr}}$ and then after some time her dad pick up and he drives at the rate of $30{\text{ mi/hr}}$ . They reach the school at $9:00{\text{ am}}$ .

Step by step explanation:

Step 1:

Consider $x$ as the distance she walked in her way.

The speed of the girl when she walked is $3{\text{ mi/hr}}$ .

Now use the formula of time to obtain the walk time.

$\begin{gathered}{\text{ walktime}}=\frac{{{\text{distance walked}}}}{{{\text{walking speed}}}}\hfill\\{\text{ walktime}}=\frac{x}{3}\hfill\\\end{gathered}$

Since the total distance is $20{\text{ miles}}$ .

Then consider $20-x$ as the distance driven by the car.

The driving speed is $30{\text{ mi/hr}}$ .

Now use the formula of time to obtain the drive time.

$\begin{gathered}{\text{drive time}}=\frac{{{\text{distance travelled by car }}}}{{{\text{ speed of car}}}}\hfill\\{\text{drive time}}=\frac{{20-x}}{{30}} \hfill\\\end{gathered}$

Step 2:

Now we calculate the total time took by girl to reach the school.

$9:00-6:50={\text{2 hrs 10 min}}$

Now convert the timing into hours as,

$\begin{aligned}2{\text{ hours 10 minutes}}&=2+\frac{{10}}{{60}}\\&=2\frac{1}{6}\\&=\frac{{13}}{6}{\text{ hrs}}\\\end{aligned}$

Step 3:

Total time is the sum of drive time and walk time.

The total time can be expressed as,

$\frac{x}{3}+\frac{{20-x}}{{30}}=\frac{{13}}{6}$

Now solve the above equation by cross multiply method.

$\begin{aligned}\frac{x}{3}+\frac{{20-x}}{{30}}&=\frac{{13}}{6}\hfill\\\frac{{10x+20-x}}{{30}}&=\frac{{13}}{6}\hfill\\\frac{{9x+20}}{{30}}&=\frac{{13}}{6}\hfill\\6\left({9x+20}\right)&=13\left({30}\right)\hfill\\\end{aligned}$

Now simplify the further equation.

$\begin{aligned}6\left({9x+20}\right)&=13\left({30}\right)\hfill\\54x+120&=390\hfill\\54x&=390-120\hfill\\54x&=270\hfill\\\end{aligned}$

Simplify the further equation.

$\begin{aligned}54x&=270\hfill\\x&=\frac{{270}}{{54}}\hfill\\x&=\frac{{45}}{9}\hfill\\x&=5\hfill\\\end{gathered}$

Therefore, the girl walked 5 miles.

Learn more:

Learn more about the distance between the points <u>brainly.com/question/6278187 </u>

Learn more about the equivalent fraction <u>brainly.com/question/952259 </u>

Learn more about midpoint of the segment <u>brainly.com/question/3269852 </u>

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Speed, distance and time

Keywords: girl, distance, drive, walk, drive time, dad, speed, travelled, formula, cross multiply, fraction, number, multiply, addition, subtraction, equation, school

8 0

3 years ago

Read 2 more answers

How do you know when to put an open or closed circle when graphing inequalities?

Marina CMI [18]

An open circle means not equal to. So, if your equation is x < 4, You would put an OPEN circle at four because it can't equal four.

3 0

3 years ago

A clock was set on Monday at 8.30 a.m. On Tuesday, the following day, the clock showed 8.45 p.m. when the correct time was 8.30

lilavasa [31]

Step-by-step explanation:

It gained 15 minutes in 36 hours.

15/36 = x/24

36x = 360

x = 10 minutes

8 0

2 years ago

Which of the following tables represents exponential functions?

HACTEHA [7]

The 2 graphs on the left are exponential
The other 2 are linear

5 0

3 years ago

Find the indicated side of the<br> right triangle.

Advocard [28]

Answer:

?=9

Step-by-step explanation:

We have a special right triangle, the 45-45-90 triangle.

In a 45-45-90 triangle, the side lengths are x, and the hypotenuse is x√2.

Since we know that the side length is 9, this means that:

$x=9\\\text{Hypotenuse}=x\sqrt2\\\text{Hypotenuse}=9\sqrt2$

The ? is 9.

8 0

3 years ago