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Maru [420]
3 years ago
5

Solve these compound interest problems and round your answer to the nearest 100th.

Mathematics
1 answer:
MatroZZZ [7]3 years ago
4 0

Answer:

$2,226.96

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance </em>

<em>r = interest rate </em>

<em>n = number of times compounded annually </em>

<em>t = time </em>

<em />

First, change 10% into its decimal form:

10% -> \frac{10}{100} -> 0.1

Now lets plug in the values into the equation:

A=500(1+\frac{0.1}{12})^{15(12)}

A=2,226.96

The final amount after 15 years is $2,226.96

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A teacher recorded the number of days her students went on vacation. Which statements describe the data? Select all that apply.
laiz [17]

Answer:

The students went on vacation for average 40 days.

The high school students went for more days than college students.

Step-by-step explanation:

The data shows number of students who went for vacation. The data class frequency shows that students who are in high school went for more days in vacation than college students. The students went for average of 40 days on vacation.

7 0
3 years ago
Help me on this thanks
g100num [7]
The answer here is C.

Explanation:
24 feet / 10 inches = 28.8
Then take 60 feet and divide 28.8 by it:
2.08 feet
Then convert 2.08 ft to inches: 24.96 inches
8 0
3 years ago
The distance between two cities is 180km. The distance was covered by a car at the rate of 50km/h, by a bus 45km/h, by a truck a
Gennadij [26K]

Answer:

The speed and time are directly proportional in that the higher the speed the lesser the time and vice versa.

The constant is the total distance which is 180 km

Step-by-step explanation:

Step one:

given data

The distance between the  two cities is 180km

1.The distance was covered by a car at the rate of 50km/h

The time taken will be

velocity= distance/time

time= distance/velocity

time= 180/50

time= 3.6 hours

2.The distance was covered by a bus 45km/h

The time taken will be

velocity= distance/time

time= distance/velocity

time= 180/45

time= 4 hours

3.The distance was covered by a bicycle at 25km/h

The time taken will be

velocity= distance/time

time= distance/velocity

time= 180/25

time= 7.2 hours

7 0
3 years ago
Please help with this question I will pass if I get it right
Alex17521 [72]

9514 1404 393

Answer:

  ∠K = ∠M = 55°

Step-by-step explanation:

The two marked angles are opposite the sides marked as congruent. That means the angles are congruent, so we have ...

  4x -1 = 2x +27

  2x = 28 . . . . . . . . add 1-2x to both sides

  x = 14

  4x -1 = 4(14) -1 = 55

The measures of the angles are ...

  ∠K = ∠M = 55°

4 0
3 years ago
What are the input and output value for determining the sine of 60?
inna [77]
<h2>Explanation:</h2><h2 />
  • The input of a function is also called the domain and are those x-values for which the function is defined.

  • The output of a function is also called the range and are those y-values for which the function is defined.

Here we have the following function:

y=f(x)=sin(x)

And we know that:

Input:

\boxed{x=60^{\circ}}

Output:

y=sin(60^{\circ}) \\ \\ \therefore \boxed{y=\frac{\sqrt{3}}{{2}}}

7 0
3 years ago
Read 2 more answers
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