Mathematics Middle School

Principle = $15,500 Interest Rate = 8.75% Time = ? Years Simple Interest = $5425.00

Solve for the Time in Years

Answers

Answer 1
We must find time by using the simple interest formula:

I = P x i x t

I is the interest
P is the total principal 
i is the rate of interest per year
t is the total time in years

In this example, when we plug our known values in, our formula looks like this: 

t = [tex] \frac{I}{i*p} [/tex]

t = [tex] \frac{5425}{0.0875 * 15500} [/tex]

t = 4

So time (in years) would be 4 years. 

Related Questions

round 1.496 to the place value of the underlined digit (in this case, 9)

a. 1.4

b. 1.49

c. 1.5

d. 1.497

Answers

C. 1.5
The 9 gets rounded up to a 0, rounding the 4 to a 5.
C is your answer to your question!

HELLLLLLPPPPPPPPPP.......... i asked some friends for help and they didn't really understand it.... And my teachers are confusing me as well...

Answers

Hi there!

To find surface area, all you do is add up all of the areas if the faces.

41 × 32 = 1312
1312 × 2 = 2624

41 × 49 = 2009
2009 × 2 = 4018

32 × 49 = 1568
1568 × 2 = 3136

2624 + 4018 + 3136 = 9778

9778 ft squared would be the answer.

Hope this helps!
Hey there!

In this problem, we'll just be finding the surface area of a rectangular prism. In this example, a surface area is a sum of all the areas of each individual face. On this rectangular prism, we have 6 faces, and two of each kind. Our formula is:

SA = 2(lw + wh + lh)

Notice how it has a 2. That two is because those two variables just applies for one side, and there's two for each type of side. On this diagram, the rightmost side's area would be the width (32) times the height (49) and the product would be the area. Let's plug in our numbers:

SA = 2(41 * 32 + 32*49 + 41*49)

Multiply:

SA = 2( 1312 + 1568 + 2009) =

Add:

SA = 2(2880 + 2009)

SA = 2(4889)

SA = 9778 ft squared, or C.

Hope this helps!

A person who weighs 240 pounds burns 180 calories per mile of running. If a person burns thirty-six calories by running one mile, how much does the person weigh?

Answers

Answer: 48 pounds


Step-by-step explanation:

Given: A person who weighs 240 pounds burns 180 calories per mile of running.

There is a direct relation ship between the weight of the person and the calories burn.

If a person burns thirty-six calories by running one mile.

Let x be the weight of the person then

[tex]\frac{x}{36}=\frac{240}{180}\\\Rightarrow\ x=\frac{240\times36}{180}\\\Rightarrow\ x=48[/tex]

The weight of the person is 48 pounds.



Mr Nickelson tells the class that they double the least common denominator for 1/2 3/5 and 9/15 to find the number of the day what number is the number of the day

Answers

Given fractions are [tex] \frac{1}{2} ,\frac{3}{5} ,\frac{9}{15} [/tex]

To find the least common denominators of the given fractions, we need to find the least common multiple (L.C.M.) of the numbers given in denominators i.e. 2, 5, and 15.

Finding the LCM of 2, 5, and 15 :-

2 = 1 x 2

5 = 1 x 5

15 = 3 x 5

So least common multiple of 2, 5, and 15 would be (1 x 2 x 3 x 5) = 30.

Hence, common denominator would be 30.

The teacher tells us to double the common denominator to find the answer that is the number of the day.

So we need to double the value of common denominator i.e. 2 x 30 = 60.

It means that 60 is the number of the day.

Hence, 60 is the final answer.

Final answer:

The number of the day is 4.

Explanation:

Least common denominator for 1/2 3/5 and 9/15

To find the least common denominator (LCD) for fractions, we need to find the smallest multiple that is common to all the denominators.

For 1/2, 3/5, and 9/15, the denominators are 2, 5, and 15 respectively.

To find the LCD, we need to double the smallest denominator, which is 2, resulting in an LCD of 4.

Therefore, the number of the day is 4.

Learn more about Least Common Denominator here:

https://brainly.com/question/12127721

#SPJ11

A six sides dice rolls twice. What is the probability that the first roll is a even number and the second roll is a number greater than 4?

Answers

Answer - 1/6

EXPLANATION

For a six sides dice:
Possible numbers are: 1, 2, 3, 4, 5, and 6
Total of 6 possible numbers

Possible even number outcomes are: 2, 4, and 6
Total of 3 outcomes out of 6 possibilities
Probability that the roll is a even number, p(A) = 3/6
p(A) = 3/6 = 1/2


Possible outcomes greater than 4 are: 5 and 6
Total of 2 outcomes out of 6 possibilities
Probability that the roll is a number greater than 4, p(B) = 2/6
p(B) = 2/6 = 1/3

The probability that the first roll is a even number and the second roll is a number greater than 4 = p(A and B)
p(A and B) = p(A) x p(B)


p(A) = 1/2
p(B) = 1/3
p(A and B) = p(A) x p(B)
= 1/2 * 1/3
= 1/6

What is the value of x?

Answers

To calculate the value of x, you can apply:

 Tan(α)=Opposite leg/Adjacent leg

 In this case, the opposite leg is "x", and the adjacent leg is 15. The angle α is 30° (α=30°)

 When we substitute this values, we obtain:

 Tan(α)=Opposite leg/Adjacent leg
 Tan(30°)=x/15
 x=(15)(Tan(30°))
 x=5√3

 What is the value of x?

 The answer is: The value of x is 5√3

If the dimensions of the rectangle are doubled what is the area of the new rectangle.

Answers

double x + 3= 2x + 6. double four is 8. 8 * 2x + 6 = 16x + 48

Factor completely.

​ 40t−16 ​

Enter your answer in the boxes.

Answers

8(5t-2)
8 can go into 40  and 16.
40t/8 is 5t and 16/8 is 2
I hope this helped

The expression 40t - 16 is factored completely by first identifying the greatest common factor, which is 8, then factoring it out to get the result 8(5t - 2).

To factor the expression 40t - 16 completely, we need to find the greatest common factor (GCF) of the terms. The GCF of 40t and 16 is 8. Therefore, we can factor out 8 from both terms:

40t - 16 = 8(5t) - 8(2) = 8(5t - 2)

So, the completely factored form of the expression 40t - 16 is 8(5t - 2).

A highway speed monitor is located on the side of the road that has a speed limit of 45 mph. The system records the speeds of passing vehicles. The data below shows the speeds of the first 9 cars that pass. 46 56 45 44 45 61 55 53 39 What is the standard deviation, to the nearest tenth, based on the posted speed limit, 45 mph? a0 The tenth car traveling on this road breaks down and is being pushed by its owners as it passes the speed monitor. A speed of 1.5 mph is recorded. The measure of central tendency most affected by this tenth speed is the a1 What is the new standard deviation, to the nearest tenth, after the tenth speed is recorded? a2

Answers

We first take the sum of the squares of the differences between the sample data and the limit 45 mph: 1^2 + 11^2 + 0^2 + (-1)^2 + 0^2 + 16^2 + 10^2 + 8^2 + (-6)^2 = 579. Dividing by 8 (# of cars less 1) gives 72.375, which is the variance. Taking the square root gives the SD of 8.5.
The measure of central tendency most affected by the 10th value of 1.5 mph is the mean. The median and mode are relatively unaffected since both involve the frequency of terms, and having a tenth term that is far below (like 1.5) will not affect it much as compared to if it was near the rest of the values (like anything below 39).
The new SD including the tenth car involves adding the deviation of (-43.5)^2 to the sum of 579, which gives 2471.25. Dividing by 9 (there are now 10 data points) and taking the square root gives the new SD of 16.6.

Answer:

a0 - 8.0

a1 - mean

a2 - 15.7

ASAP


The Choir Booster Club had a budget of $1,300.00 at the start of the school year. They spend $225.30 on t-shirts, $482.25 on lost uniforms, and $135.68 on a holiday party. How much does the booster club have left in their budget?
A. $1,543.23
B. $1,074.70
C. $543.27
D. $456.77

Answers

You do 225.30+482.25+135.68=843.23
Then you do 1300-843.23=456.77

Final answer:

After calculating the expenses, the Choir Booster Club has D. $456.77 left in their budget. This is determined by subtracting the costs of t-shirts, lost uniforms, and the holiday party from their starting budget of $1,300.00.

Explanation:

The Choir Booster Club started the year with a budget of $1,300.00 and spent money on various items. To calculate how much of the budget remains, we need to subtract the costs of the t-shirts, lost uniforms, and the holiday party from the starting budget:

Starting budget: $1,300.00Cost of t-shirts: $225.30Cost of lost uniforms: $482.25Cost of holiday party: $135.68

Now, subtract the total expenditures from the starting budget:

$1,300.00 - $225.30 - $482.25 - $135.68 = $456.77 remaining

Therefore, the correct answer is: D. $456.77

Choose all the answers that apply.
The greenhouse effect is:

a) slowly increasing global temperature
b) caused when atmospheric gases trap heat
c) melting the polar ice caps
d) slowly increasing sea levels
e) increasing because of carbon dioxide emissions

Answers

Answer:

The greenhouse effect is the process by which radiation from a planet's atmosphere warms the planet's surface to a temperature above what it would be without this atmosphere.So following options are correct options

slowly increasing global temperaturecaused when atmospheric gases trap heatincreasing because of carbon dioxide emissions

Answer:

A - slowly increasing global temperature

B - caused when atmospheric gases trap heat

E - increasing because of carbon dioxide emissions

Step-by-step explanation:

can someone help me solve this

Answers

You are right before it’s 4 months.
Write an expression for both companies
m stands for the number of months
⇒ Company A has a $20 signing fee and charges $40 monthly. Signing fee will be the constant, because it's not influenced by the number of months. 40 will be the coefficient of m. The expression will be 20 + 40m
⇒ Company B has no signing fee and charges $45 monthly. 45 will be the coefficient of m, because the total charge is influenced by the number of months. The expression will be 45m

Determine the number of months
For both costs being equal, write an equation that equalizes both expression
45m = 20 + 40m

solve for m
45m - 40m = 20
5m = 20
  m = 20/5
  m = 4
For both costs being equal, it needs 4 months

if 2x+5= 12 for some value of x, then what does 6x+20 equal???

Answers

1. Solve for x in 2x + 5 = 12
2x + 5 = 12       Subtract 5 from both sides.
2x = 7               Divide 2 from both sides.
x = 3.5

2. Substitute 3.5 in for x in 6x + 20
6(3.5) + 20
21 + 20
41

Your answer is 41.


Here is the answer to the question

i also need help with this question

Answers

A. maybe true.

B. definitely true, the Most Appropriate choice.

C. false

D. false

A field has a length of 50.5 meters, and a width of 9.2 meters. What is the perimeter and the area of the field?

Answers

To find the perimeter, you add up all of the side lengths:

50.5 + 9.2 = 59.7
59.7 * 2 = 119.4

The perimeter is 119.4 meters. 

To find the area, you multiply the length and width together:

50.5 * 9.2 = 464.6

The area is 464.6 meters squared. 

Hope this helps!

During the month of June, Ava kept track of the number of days she saw birds in her garden.she saw birds on 18 days of the month. what is the experimental probability that she will see birds in her garden on july 1?

Answers

An experimental probability value can be set up in the form of a fraction. The part (numerator) is the number of days she saw birds during the month of June. The whole (denominator) is the number of days in the month of June. Since this an experimental probability example, we can use the results from the month of June to assume she will see the same amount of birds in July. 

[tex] \frac{Days she saw birds in June}{Days in June} [/tex]

= [tex] \frac{18}{30} [/tex]

= [tex] \frac{3}{5} [/tex]

So the probability she will see birds in her garden on July 1st is [tex] \frac{3}{5} [/tex]
Experimental probability is based on the observations of the past. She saw birds for 18 days out of 31 total days in June. The experimental probability would be 18/31 or a 58.06% chance of seeing a bird on July 1st.

A set of cards contains the numbers 1 through 20. Mathieu chooses a card a random, records the number of the card, and then returns the card to the set. He conducts 200 trials of this event. Based on the theoretical probability, how many times can Mathieu expect to choose a multiple of 5?

Answers

Chance of multiple of 5 is 4 / 20 or 1 / 5.
This means that the answer is 200 / 5
Answer = 40

Answer: There are 40 times that Mathieu can expect to choose a multiple of 5.

Step-by-step explanation:

Since we have given that

Numbers between 1 to 20 = 20

Numbers which are divisible by 5 = 4

i.e. {5,10,15,20}

So, Probability that getting a number divisible by 5 is given by

[tex]\dfrac{4}{20}=\dfrac{1}{5}[/tex]

If the number of trials = 200

Then, Number of times Mathieu expect to choose a multiple of 5 is given by

[tex]\dfrac{1}{5}\times 200\\\\=40[/tex]

Hence, there are 40 times that Mathieu can expect to choose a multiple of 5.

1. (08.02)A pair of equations is shown below.
x + y = 5
y = one halfx + 2
If the two equations are graphed, at what point do the lines representing the two equations intersect?
A. (2,5)
B. (5, 2)
C. (2, 3)
D. (3, 2)

Answers

Answer:

(2,3)

Step-by-step explanation:

Given : [tex]x + y = 5[/tex]

           [tex]y=\frac{x}{2}+2[/tex]

To find: what point do the lines representing the two equations intersect

Solution:

[tex]x + y = 5[/tex]

[tex]y=\frac{x}{2}+2[/tex]

Plot the lines on the graph

Green line denotes  [tex]x + y = 5[/tex]

Purple line denotes [tex]y=\frac{x}{2}+2[/tex]

So, Intersection point = (2,3)

Refer the attached figure

So, option C is true

Hence Intersection point is (2,3)

<1 and <2 are complementary angles. m <1=52 what is the measurement id <2?

I need answer ASAP!

Answers

Complementary angles are angles formed by the addition of two angles, which measure is 90 degrees.
Is given that angle one and angle two are complementary, in other words equal to 90 degrees. Also, is given that the measure of angle one is equal  52 degrees. For instance to find the measure of angle two, should be subtracted 52 out of 90.

m<1+m<2=90          Substitute the measure of angle one on the equation
   52+m<2=90          Subtract 52 in both sides
         m<2=38

The measure of angle two is equal 38 degrees. 



please help fast!! what is the surface area??

Answers

The two trapezoidal faces together have an area of
.. (5 in)*(5 in +9 in) = 70 in^2

The remaining surface can be unfolded to an area that is
.. (5 in)*(5 in +9 in +6.4 in +5 in) = 127 in^2

Together, these add to
.. 70 in^2 +127 in^2 = 197 in^2 . . . . . . . the 4th selection

Choose the best description for the real number 34 over 3.

Irrational, because it is a fraction
Irrational, because it is a repeating decimal
Rational, because it is a fraction
Rational, because it is a terminating decimal

Answers

Answer:  The correct option is

(C) Rational, because it is a fraction.

Step-by-step explanation:  We are given to choose the best description for the real number 34 over 3.

The given real number can be written as :

[tex]f=\dfrac{34}{3}.[/tex]

We know that

a number of the form [tex]\dfrac{p}{q},~q\neq 0[/tex] is a rational number. That is, a fraction with non zero denominator is a rational number.

Since the given number can be written as a fraction, so it is a rational number.

Thus, option (C) is CORRECT.

Answer:

c

Step-by-step explanation:

Can someone help me making sure if my answers is right. Just need lil help. Thanks.

Answers

1. You are correct that each person gets 3/4 of a pizza. Be careful with your drawing. 2/4, 3/4, and 4/4 are very different from 1/4 #2, 1/4 #3, 1/4 #4.

2a. Correct

2b. You have shown the fraction shaded. The question asks for the fraction unshaded.

Arnold has been given a 6 foot by 6 foot sheet of cardboard to make an open box by cutting an equal size square from each corner, folding up the resulting flaps, and taping at the corners. Your task is to label dimensions on a sketch with same size variable cut from each corner.
Part II: How does each variable expression relate to the length, width, and height of the box when folded?

Answers

We already know that our square sheet of cardboard has sides of 6 foot length, and after cutting a square of side x from each one of the corners, the new length of our sides will be [tex]6-2x[/tex]. Now, once we fold the sides to create our box, both the length and the width are going to be equal to [tex]6-2x[/tex]; after all, we are creating of box out of a square. The height on the other hand will be one the sides that we cut to create our box; therefore, the height will be [tex]x[/tex].
To summarize, after folding, we will have a box of height = [tex]x[/tex], width= [tex]6-2x[/tex], and length=[tex]6-2x[/tex] 

You are working as an apprentice for the bksb Newcastle Arena.



An indoor sport exhibition is coming to the arena. Your supervisor has asked you to help set up a handball pitch and seating area as shown in the plan view below..



Use the following formulae:



Perimeter of a rectangle = 2l + 2w



Circumference of a circle = πd



π = 3.14



Area of a rectangle = lw



Area of a circle = πr²





What is the total perimeter of the pitch and seating area?

m



What is the total area of the pitch and seating area?



m2

Answers

To find the area of the arena, you will need to find the areas of the rectangular spaces and the 2 semicircles. Because the formulas are given, I will just substitute in the values and show the work for finding the areas.

To find the perimeter, you will look at the distances of lines that take you around the space. Because two of these spaces are half circles, you will need to find the circumference of the full circle.

Also, the answers need to be given in meters, so all units given in centimeters will be divided by 100 to convert them to meters.

Perimeter:

C= 3.14 x 20 m
C = 62.8 meters

62.8 + 8 + 25 + 8 + 5 + 8 + 10 + 8 + 40= 174.8 meters for the Perimeter

Area:
A = 25 x 8
A = 200 square meters

A = 10 x 8
A = 80 square meters

A = 20 x 40
A = 800 square meters

A = 3.14 x 10^2
A = 314 square meters

Total Area: 314 + 800 + 80 + 200= 1394 square meters

What percent of the people chose turkey or ham as their favorite sandwich? A. 6% B. 50% C. 28% D. 62%

Answers

B is the answer to your question!
Please mark brainliest if this helped!

(-3,2) 90 degrees about the origin clockwise

Answers

For 90° clockwise rotation, (x, y) becomes (y, -x).

Your rotated point is (2, 3).

What is the area of the composite figure? (6π + 4) cm2 (6π + 16) cm2 (12π + 4) cm2 (12π + 16) cm2

Answers


one semi circles area =pi.r²/2

one semi circle area = pi.2²/2=2.pi

three semi circle area =3.2.pi =6.pi

square area = 4² =16

area of composite figure = 6.pi+16

The angle of elevation from a sailboat to the top of a 121-foot lighthouse on the shore measures 16 degree. How far is the sailboat from the lighthouse to the nearest foot?

Answers

About 422 feet.

Hope this helps!

Answer:

Step-by-step explanation:

If a company's revenue is 50 billion USD a year, how much money does it make per hour?

Answers

well wow 50000000000 usd a year year=365 how many hours are in 365*24then divide 50bil by answer

Eder needs 6 cookies and 2 brownies for every 4 plates he makes for a bake sale. Drag cookies and brownies into the box to show how many Eder needs for 10 plates.

Answers

4 = 6c + 2b

3 : 1

4 x ___ = 6
4 x 1.50 = 6

4 x ___ = 2
4 x 1/2 = 2


Answer :
10 x 1.50 = 15 cookies
1/2 x 10 = 5 brownies


15: 5
3 : 1

Answer:

Eder needs 15 cookies and 5 brownies for every 10 plates he makes.

Step-by-step explanation:

In order to know hoy many cookies and brownies Eder needs for 10 plates, given the fact that he needs 6 cookies and 2 brownies for every 4 plates, we need to perform the following calculation:

6C + 2B = 4X (plates)

6/4C + 2/4B = X

1.5C + 0.5 B = X

So, as we can see, 1.5 cookies and 0.5 brownies are needed for every plate. To know how many of those are needed for ten plates, we ned to multiply those numbers by 10.

1.5 x 10 = 15

0.5 x 10 = 5

Eder needs 15 cookies and 5 brownies for every 10 plates he makes.

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