Mathematics Middle School

You put $5000 in an account. The account earns $2250 simple interest in 10 years. What is the annual interest rate?

The annual interest rate is

Answers

Answer 1
the rate is 5% a year 
Answer 2

The annual interest rate is 4.5%.

What is the simple interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.

Given that, principal =$5000, simple interest=$2250 and time period= 10 years.

Here, 2250= (5000×R×10)/100

225000=50000R

R=225000/50000

R=4.5%

Therefore, the annual interest rate is 4.5%.

To learn more about the simple interest visit:

https://brainly.com/question/25845758.

#SPJ6

Related Questions

I’m not sure about this question. Please help thanks!

Answers

The answer is a. I’m pretty sure there aren’t any solutions.
Hi there!

When I solved this, I calculated no solution. It doesn’t work because there are no values of x that make the equation true, therefore your answer is A) There is no solution.

Have a terrific day and just let me know if you have any more questions or concerns!
~Brooke❤️

The flat surfaces of a 3D shape are called what? Faces Edges Vertices

Answers

The flat surfaces of a 3D shape are called faces

The flat surfaces of a 3D shape are called faces.

The faces serve as the two-dimensional polygonal areas that define the boundaries of a 3D object. In geometry, for instance, a cube is a common 3D shape that has six faces, each of which is a square. Each face is bordered by edges, which are the straight lines where two faces meet, and the corners of the faces are known as vertices (or vertex in singular form).

Examining various 3D shapes, such as the tetrahedron, which has four triangular faces, and the octahedron with its eight triangular faces, provides a clearer understanding of how faces constitute the polyhedron's shape.

All books in a store are being discounted by 40%. let x represent the regular price of any book in the store which expression describes the sale price of a book ?

Answers

To find the sale price we can set up a proportion. 25/100 = x/48. We keep the 100 and 48 both on the bottom of the fraction since they represent the "whole". x represents the discount off the full price of the dress. To solve this proportion, we cross multiply, yielding 48 * 25 = 100x. Alternatively, if you notice that 25/100 ...

Jill and her children build 8 sandcastles.Click on the first 4 multiples of 8

Answers

8*1=8
8*2=16
8*3=24
8*4=32

8,16,24, and 32 are the first 4 multiples
8
16
24
32
Here are the first 4 multiples of 8

How to do this also how to put this in standard form

Answers

I hope the attachment loads right:

After school,Philipe spent 1 3/4 hours of baseball practice, 2 1/4 hours on homework, and 1/4 hour getting ready for bed.Wich is the most reasonable estimate for how long he spent on his activities:3 hours,4 hours,or 5 hours?Explain

Answers

4 hours. 1 3/4 is about 2, and 2 1/4 rounds to 2. 1/4 would round to 0, but it would not affect the estimate's accuracy much because we rounded up by 1/4 on 1 3/4 already. Philipe spent about 4 hours on activities. 

challenge to all the maths lover

Answers

point(-5,3) after the 2 reflections would become (3,-5)

point (4,-2) after the 2 reflections becomes (2,4)

Whats the surface area? WILL GIVE BRAINIEST!

Answers

I'm not sure what this is, but you can take the 10 in rectangle and somehow put it in the other rectangle to the side of that. I'm not sure though.

A $140 car stereo is marked up 50% and then discounted 50% will the final price of the car stereo be #140

Answers

Yes, because adding 50 and subtracting 50 is equal to 140+50-50.
+50-50=0
Now, you have 140+0=140.

Hope this helped☺☺
If the stereo is marked up 50%, the new price is $210. Then, if it is reduced by 50%, the final price is equal to $105.

in rectangle abcd measure of angle d =(3x+15) measure b =(6x-42) find measure of angle a

Answers

5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore, 
[tex]6x-42=3x+15\\3x=57\\x=19[/tex]

Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B = [tex]6(19)-42=72[/tex]
Now, remember that ∠B or ∠D are supplements of ∠A. 
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° = 108°.
That seems reasonable, because A appears to be an obtuse angle.

Factor 15a^3+ 20a^2- 6a- 8 by grouping

Answers

[tex]15a^3+ 20a^2- 6a- 8[/tex]
= [tex]5a^2(3a+ 4) - 2(3a + 4)[/tex]
= [tex](3a+ 4) (5a^2- 2)[/tex]

Katenka cross country skied a trail that was 3/4 mile each way. after skiing 2/3 of the trail she turned around. What fraction of a mile did katenka ski before she turned around.

Answers

we know that

[total trail]=(3/4)*2------> 6/4---------> (3/2) miles

[fraction of a mile that katenka did]=(2/3)*(3/2)------> 1 mile

the answer is 1 mile

The sequence an = 1/2 (2)^(n - 1) is graphed below:

coordinate plane showing the points 2, 1; 3, 2; 4, 4; and 5, 8

Find the average rate of change between n = 2 and n = 4.

Answers

The average rate of change of the sequence from n = 2 to n = 4 is 1.5, which is determined by calculating the difference in sequence values for these n values and dividing by the difference in n.

The average rate of change of a function between two points reflects the function's slope between those points. To find the average rate of change of the sequence [tex]a_n = \frac{1}{2} (2)^{n - 1}[/tex]from n = 2 to n = 4, we calculate the differences in the sequence values corresponding to these n values and divide by the difference in n itself.

The value of a_n when n = 2 is [tex]a_2 = \frac{1}{2} (2)^{2 - 1}= 1.[/tex]The value of a_n when n = 4 is [tex]a_4 = \frac{1}{2} (2)^{4 - 1}[/tex]= 4.To find the average rate of change, use the formula: rate of change = [tex](a_4 - a_2)[/tex] / (4 - 2) = (4 - 1) / (4 - 2) = 3/2 = 1.5.

Therefore, the average rate of change between n = 2 and n = 4 for this sequence is 1.5.

PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)

Answers

The answer is 1000mm

wlh
= 5 x 10 x 20
= 1000


I hope this helps!

A cylinder has a Height 12 and a radius 3.7 what is it’s volume?

Answers

The formula for the volume of a cylinder is v = π r² h 
Let's use 3.14 for π. 
Square 3.7 to get 13.69. 
Multiply that by 3.14. 
v = 42.9866 x 12 
Finally, multiply it by 12. 
v = 515.8392

You could also express your answer in terms of pi. 
Square 3.7 to get 13.69. 
Multiply it by 12. 164.28 is what you get.
v = 164.28π 

Hope this helps!

Hannah has 11 toothpicks that are the same length.Name the types of triangles and quadrilaterals Hannah can make if she uses only one toothpick for each side of each figure

Answers

hannah can make 2 quadrilaterals and 1 triangle.

Answer:

Step-by-step explanation:

Given that Hannah has 11 toothpicks that are the same length

When she uses only one toothpick for each side then we see that all sides would be equal whether quadrilateral or triangle.

Hence she can make equilateral triangles, rhombuses or squares out of these 11 toothpicks

Either one equilateral triangle, and 2 rhombuses, or one equil. triangle and 2 squares or 1 equil triangle with 1 square, 1 rhombus or 2 equil triangles with one square or rhombus

What are the coordinates of the point on the directed segment from K (-5,-4) to L (5,1) that partitions the segment into a ratio of 3 to 2?

Answers

K + (3/5)*(L -K) = (-5, -4) + (3/5)*(5 -(-5), 1 -(-4))
.. = (-5 +(3/5)*10, -4 +(3/5)*5)
.. = (1, -1)

The point you want is (1, -1).

Does this graph show a proportional relationship? Why or why not?

Answers

Yes, because the line runs through the origin (0,0) and y=kx.

When choosing a new class color, 90 students voted for crimson and 60 voted for royal blue. What percent of these students voted for the color crimson?

Answers

The percentage of students voted for colour crimson
=
[tex] \frac{90}{60 + 90} \times 100\% \\ = \frac{90}{150} \times 100\%\\ = \frac{9}{15} \times 100\% \\ = 60\% [/tex]
hope it helps!

Barb is making a bead necklace. She strings 1 white bead, then 3 blue beads, then 1 white bead and so on. Write the numbers for the first eight beads that are white. What is a rule for the pattern?

Answers

Final answer:

In Barb's necklace pattern, white beads occur at position numbers 1, 5, 9, 13, 17, 21, 25, and 29. The rule for the pattern is that any white bead will appear at a position that is 4n + 1, where n is any non-negative integer.

Explanation:

The student's question involves determining the position numbers of the first eight white beads in a pattern and identifying a rule for this pattern. The pattern established by Barb is one white bead followed by three blue beads, which then repeats. To find the positions of the first eight white beads, let's enumerate the pattern until we have identified eight white beads.

WhiteBlueBlueBlueWhiteBlueBlueBlueWhite...

As we can see, the white beads appear in a consistent pattern at every fourth position in the sequence. Thus, by listing out the pattern, we can identify the first eight white beads' position numbers as follows:

1591317212529

The rule for the pattern can be described as follows: any white bead will be at a position number that is 1 more than a multiple of 4 (i.e., 4n + 1, where n is a non-negative integer).

Final answer:

The first eight white beads in Barb's necklace pattern are in positions 1, 5, 9, 13, 17, 21, 25, and 29. The rule for the pattern is 4n - 3 for the nth white bead.

Explanation:

Barb is making a bead necklace with a repeating pattern: 1 white bead, followed by 3 blue beads, and then the pattern repeats. To determine the numbers for the first eight beads that are white, we can examine the pattern more closely. Since the pattern begins with a white bead and every white bead is followed by three blue beads, we can deduce that it takes 4 beads in total to complete one cycle of the pattern (1 white + 3 blue).

The positions of the first eight white beads are as follows: 1st, 5th, 9th, 13th, 17th, 21st, 25th, and 29th. The rule for this pattern can be expressed as follows: To find the position of any white bead in the sequence, you can use the formula 4n - 3, where n represents the nth white bead in the sequence.

For example, to find the position of the third white bead, we substitute n with 3 into our formula: 4 * 3 - 3, which equals 9. Therefore, the third white bead is the 9th bead in the overall pattern.

Monica purchased adult and youth tickets for the fair. She bought x adult tickets for $28 each and y youth tickets for $15. Write an expression that can be used to show the total cost, C, of all tickets

Answers

C=28x+15y is the expression!

Place the following temperatures in order from coldest to hottest: -8°C, 10°C, -5°F, 40°F

Answers

To solve this problem, you should first convert all temperatures to one temperature scale. I'll use the formula to convert Fahrenheit to Celsius.
It is C = 5/9(F - 32), where F is the degrees Fahrenheit.

Let's start converting.

C = 5/9(-5 - 32)
C = 5/9(-37)
C = -185/9
C = -20.6°

C = 5/9(40 - 32)
C = 5/9(8)
C = 40/9
C = 4.4°

Now let's arrange them from least to greatest:
-20.6°C, -8°C, 4.4°C, 10°C.

Answer:
-5°F, -8°C, 40°F, 10°C.

Interpret the scatter plot of the data for the amount of paint used to paint signs of various lengths based on the shape of the distribution

Answers

Answer: The shape of the points in the scatter plot resemble an increasing exponential equation.

The set of data shown in the scatter plot best models an exponential equation. In this case the points are increasing. However, it is not at a linear (constant) rate. The points keep going up faster as the x-value increases.

Answer:

The shape of the points in the scatter plot resemble an increasing exponential equation.

Step-by-step explanation:

As you can tell it increases because it is going up on the graph.

What is 4,7,12,19,28 in quadratic sequence

Answers

a[n] = n^2 +3 . . . . .describes the given sequence

Answer:

nth term = x²+3

50th term = 2503

100th term = 10003

whats 324589 times 789024???

Answers

256,108,511,136 hope this helps
256,108,511,136 buy a calculatot

solve the following proportion equation _X =_4
5 10 do the wholr thing step by step and explain thanks




Answers

The equation to solve is:
[tex] \frac{x}{5}= \frac{4}{10} [/tex]
Step-by-step solution:
1) multiply both sides of the equation by 10:
[tex]10 \cdot \frac{x}{5} = 10\cdot \frac{4}{10}[/tex]
2) simplifying:
[tex]2x = 4[/tex]
3) dividing both terms by 2:
[tex]x= \frac{4}{2}=2 [/tex]
and the solution is x=2.
Hi there!

The Eqn. is :-

[tex]\dfrac {x}{5} = \dfrac {4}{10}[/tex]

=> x = [tex]\dfrac {4}{10}[/tex] × 5

=> x = [tex]\dfrac {4}{2}[/tex]

=> x = 2

Hence, x = 2

~ Hope it helps!

Which of the following represents seventh root of x to the sixth power in exponential form

Answers

That would be x^(6/7).

Carol has a small copy of a painting. The dimensions of her copy are shown at right. The scale of the copy is 0.5 inches : 12 centimeter.
a.Find the dimensions of the original painting.
b.Find the area of the original painting.
c.One centimeter is equal to approximately 0.033 foot. Find the dimensions of the original painting in feet.
d.Find the area of the painting in square feet. Round to the nearest thousands.
(I'm sorry I don't understand this...can anyone help??..)

Answers

the complete question in the attached figure

we know that
[scale]=0.5/12
[scale]=[copy of a painting]/[original painting]

dimensions copy of a painting--------------> 1.75 in x 5.25 in

for 1.75 in
[original painting]=[copy of a painting]/[scale]
[original painting]=[1.75]/[(0.5/12)]=42 cm


for 5.25 in
[original painting]=[copy of a painting]/[scale]
[original painting]=[5.25]/[(0.5/12)]=126 cm

the answer Part A) is
the dimensions of the original painting are 42 cm x 126 cm

Part B)
Find the area of the original painting.
[area of the original painting]=42*126=5292 cm²

the answer Part B) is
area of the original painting is 5292 cm²

Part C)
One centimeter is equal to approximately 0.033 foot. Find the dimensions of the original painting in feet.

the dimensions of the original painting are 42 cm x 126 cm
then

for 42 cm
if  1 cm----------------> 0.033 ft
 42 cm----------------> X
X=42*0.033=1.386 ---------> 1.386 ft

for 126 cm
if  1 cm----------------> 0.033 ft
 126 cm----------------> X
X=126*0.033=4.158 --------> 4.158 ft

the answer Part C) is
the dimensions of the original painting in feet are 1.386 ft x 4.158 ft

Part D) Find the area of the painting in square feet. Round to the nearest thousands.

the dimensions of the original painting in feet are 1.386 ft x 4.158 ft
{Area original painting in feet]=1.386*4.158=5.763 ft²

the answer part C) is
the area original painting in feet is 5.763 ft²


A bakery sells 6 bagels for $2.99 and 4 muffins for $3.29. What is the total cost in dollars for 4 dozens bagels and 16 muffins, not including tax? Need help trying figure how to start solving

Answers

24$ for 4 dozens of bagels
13.16$ for 16 muffins
Since a dozen has 12 in it you can multiply 2.99 by two since that's the cost for six. Then you multiply that amount by 4. For the muffins you need to multiply 3.29 by four. Finally, you take both of those products and add them together to find the total cost.

I really need help!! God bless you.

Answers

Ok so 65 percent of 10,000 is 6500. This means that she has to get the other 3500 herself. Since she has a year to save divide 3500 by 12 for each month of the year which is equal to $291.67. Then simply round up to get your answer which is A. $292.

Hope this helped and good luck
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