Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did she earn? Use the formula I=Prt to find your answer, where I is interest, P is principal, r is rate and t is time. Enter your solution in decimal form rounded to the nearest hundredth. For example, if your solution is 12%, you would enter 0.12.

Answers

Answer 1
If I=P*r*t, we can input 450 in for I, 3000 in for the principal (P, or the starting rate), and 3 for t=time because there were three years, resulting in 450=9000*r. Next, we can divide both sides by 9000 to get 0.05 or 5% as our answer.

Related Questions

1/3 + 5/6 and explain why

Answers

First you have to make a common denominator the same, so 3 can go into 6 2 times so you would put 2/6 + 5/6 which then equals 7/6
1 1/6 because you have to make the denominator the same so you turn 1/3 into 6ths which is 2/6 then you add them and you will get 7/6 and that simplified will be 1 1/6

how do you graph y-6=(x+2)

Answers

To make your equation easier to graph, you can try simplifying it. Add 6 to both sides.

y-6 = (x+2)
  + 6     + 6
y = x + 8

Then, try plugging in values for x and using that output as your y value. Some coordinates on your graph would be (0, 8), (1, 9), (2, 10), (3, 11), etc.

Hope this helps!

The temperature has been going down at a constant rate. In 3 hours it went down 15 degrees. Which expression best shows the temperature change each hour?

Answers

15/3=5
The temperature goes down 5 degrees in 1 hour.

An expression that represents temperature change per hour is Time = 3 *temperature change.

What is an expression in mathematics?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Given, The pace of the temperature decline has been steady. It dropped 15 degrees in 3 hours. Hence

in three hours temperature drops  by 15 degrees

in one hour temperature drops = 15/3 = 5 degrees

Therefore, Time = 3 *temperature change is an equation that shows the temperature change per hour.

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I seriously don't know.

Answers

1)
(x+3)(x+5)=
x*x+x*5+3*x+3*5=
x^2+5x+3x+15=
x^2+8x+15
2)
(x+3)(x-5)=
x*x+x*(-5)+3*x+3*(-5)=
x^2-5x+3x-15=
x^2-2x-15
3)
(x-3)(x-5)=
x*x+x*(-5)+(-3)*x+(-3)*(-5)=
x^2-5x-3x+15=
x^2-8x+15
4)
(2x+4)(x-7)=
(2x)*x+(2x)*(-7)+4*x+4*(-7)=
2x^2-14x+4x-28=
2x^2-10x-28
#1.

[tex](x+3)(x+5)[/tex]
[tex]x^2+5x+3x+15[/tex]
[tex]x^2+8x+15 [/tex]

#2.

[tex](x+3)(x-5)[/tex]
[tex]x^2-5x+3x-15[/tex]
[tex]x^2-2x-15[/tex]

#3.

[tex](x-3)(x-5)[/tex]
[tex]x^2-5x-3x+15[/tex]
[tex]x^2-8x+15[/tex]

#4.

[tex](2x+4)(x-7)[/tex]
[tex]2x^2-14x+4x-28[/tex]
[tex]2x^2-10x-28[/tex]


Hope I've Helped!

What is the solution of the system? Also if you can, explain please?


Use the elimination method.
−4x−2y=−12
2x+4y=−12

Answers

In order to find the solution (point of intersection) of two lines, you must solve them simultaneously for the x-coordinates and y-coordinates.

Let   -4x - 2y = -12    be (eq1)
 &     2x + 4y = -12    be  (eq2)

Now you have to find a way to multiply one or two of the equations so that upon adding or subtracting them, the two equations will become a single equation with one solvable variable.

     by multiplying (eq 1) by 2
                            2(-4x - 2y = -12)
             Now let     -8x - 4y = -24      (eq1ᵃ)

                          
        So,   -8x - 4y + (2x + 4y) = -24 + (-12)      [eq1ᵃ + eq2]
            ⇒   -8x + 2x - 4y + 4y = - 36 
                                       - 6x  = - 36
                                 ⇒       x  = 6

     By substituting x = 6 into  eq2
                ⇒ 2(6) + 4y = - 12
                       12 + 4y = - 12
                              4y = - 24
                            ⇒ y = -6

Thus the solution set is (6 , -6)

Please help I'll rate brainiest answer and 5 stars I suck at math

Answers

The answer would be D

the answer is -5/6...ill explain later

Answer 7-13 please
Thanks

Answers

The correct answers are as follows:
7. A
The amendment above guarantee jury trial for civil cases at federal courts. The amendment inhibit the court from overturning a jury finding of facts.
8. C
The amendment given above is part of the bills of rights which guarantee a civil trial for civil cases in the federal courts. This amendment ensures that US citizens have the right to have the court to hear their cases.
9. HOUSE OF REPRESENTATIVE.
In the United States today, there are 535 members of congress. 100 of these serves in the US senate while the remaining 435 serve in the house of representative. The US representative is the lower chamber of the United State congress. Together with the senate, they make up the legislature arm of the United States.
10. SUPREME COURT JUSTICE.
The constitution of the United States of America requires that only the people that are natural born citizens of United State is capable of becoming the president of the country. For the supreme court justice, the law did not signifies that a person should be born in America before he can become a supreme court justice.
11. ELECTED.
There is a residency requirement for members of the congress. The law demands that senators and representatives must live in the state in which they are chosen, that is, they are expected to live in the state which they represent.
12. TWO
The members of representative are eligible to serve for two years. After this, two years term they can be considered for re-election every even years. There are no limit to the number of times that the members of representative can be re-elected.
13. SECOND.
The second amendment gives the citizens of US the right to bear arms. The amendment was ratified in 1791. The amendment states that the right of the people to bear arms must not be infringed, this is because a well regulated militia is necessary to the security of a free state.

Mathematics rewrites problem 4 on page 57 with different numbers. Solve the new problem and show your work.

Answers

What problems are you talking about?

Identify the type of function represented by f(x)=3/8(4)^x

A. Exponential Growth
B. Quadratic
C.Linear
D.Exponential Decay

Answers

In Apex its A. Exponetial Growth

Answer:

Option A - Exponential Growth

Step-by-step explanation:

Given : [tex]f(x)=\frac{3}{8} (4)^x[/tex]

To find : Identify the type of function given ?

Solution :    

The given function is in the form  [tex]f(x)=ab^x[/tex]

This form is an exponential form in which a is the initial value and b is the growth/decay rate factor.

If we compare the given expression,  [tex]f(x)=\frac{3}{8} (4)^x[/tex]

The initial value is  [tex]a=\frac{3}{8}[/tex]

and the growth/decay rate factor [tex]b=4[/tex]  

Since b>1 then it is a growth factor.

Refer the attached figure below.

Therefore, Option A is correct.

The function  [tex]f(x)=\frac{3}{8} (4)^x[/tex] is an exponential growth function.

How to multiply fractions

Answers

To multiply fractions you multiply the numerator and that becomes the answer to the numerator
And then you do the same for the denominator
Then simplify if you can
Example:
2/5 * 3/6 = 6/30 = 1/5

Hello There!

To multiply fractions, you first want to line up the numerator and the denominator together so they line up with each other.

Next, you want to multiply across. This includes multiplying the numerators together and then multiplying the denominators together.

Finally, you want to find the greatest common factor but only if the fraction can be simplified.

That Is How To Multiply Fractions

Which number supports the given conjecture? 

If the sum of the digits of a number is divisible by 9, then the number is also divisible by 9.



 
A.
19


 
B.
54


 
C.
87


 
D.
109

Answers

Your answer would be B:54

explain how knowing 50 x 4 = 200 helps you find 500 X 400?

Answers

If you know the answer to 50 x 4 = 200 then you can just add the other zeros

What percent is 108 of 81 (show work please thank you)

Answers

75% is the correct answer. Not sure how I got it
To find this, turn 108% into decimal. 108% = 27/25, which is 1.08 Now, multiply by 81. 1.08 * 81 = 87.48

Hope this helped!! ☺♥

At the market, 8 batteries cost $10 .How much do 6 batteries cost

Answers

divide 10 by 8 to get price per battery

10/ 8 =1.25 per battery

 now multiply 1.25 x 6 for total

1.25 * 6 = $7.50 for 6 batteries


Given that eight batteries cost $10, six batteries will cost $7.5

How much do 6 batteries cost?

Given that;

8 batteries cost $101 battery = ?

If 8 batteries cost $10, 1 battery will be;

1 battery = $10 / 8

1 battery = $1.25

Now, given that;

1 battery cost $1.256 batteries = ?

If 1 battery cost $1.25, 6 batteries will be;

6 batteries = $1.25 × 6

6 batteries = $7.5

Given that eight batteries cost $10, six batteries will cost $7.5.

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Determine the length of the hypotenuse

Answers

21^2 + 28^2 = Hypotenuse^2

441 + 784 = 1225

sqrt (1225) = 35

hypotenuse = 35

Select all the expressions that are equivalent to the polynomial below.

(4x+5)(-3x-1)

A (-16x2 + 10x - 3) + (4x2 - 29x - 2)
B 3(x - 5) - 2(6x2 + 9x + 5)
C 2(x - 1) - 3(4x2 + 7x + 1)
D (2x2 - 11x - 9) - (14x2 + 8x - 4)
E (-15x2 + 9x - 10) + (3x2 - 10x - 5)
F (4x2 - 13x - 7) - (16x2 + 9x - 5)

Answers

Answer:

Options A,C and D

Step-by-step explanation:

(4x+5)(-3x-1) = -12x²-19x-5

Option A:

    (-16x² + 10x - 3) + (4x² - 29x - 2) = -12x²-19x-5

    Option A is correct.

Option B:

    3(x - 5) - 2(6x² + 9x + 5) = -12x²-15x-25

    Option B is wrong.

Option C:

    2(x - 1) - 3(4x² + 7x + 1) = -12x²-19x-5

    Option C is correct.

Option D:

    (2x² - 11x - 9) - (14x² + 8x - 4) = -12x²-19x-5

    Option D is correct.

Option E:

    (-15x² + 9x - 10) + (3x² - 10x - 5) = -12x²-x-15

    Option E is wrong.

Option F:

    (4x² - 13x - 7) - (16x² + 9x - 5) = -12x²-22x-2

    Option F is wrong.

Evaluate the expression and prove your answer by using a model. 5/8 divide by 1/2

Answers

If dividing fractions
Don't be shy...
Just flip the second
And MULTIPLY!!!
They taught us this at school so it should be easier if you do this.

at 1200 hours in london it is 0400 hours in Los Angeles. What day and time is it in Los Angeles if it is 0630 hours on sunday in London?

Answers

Monday 2330 hours is the answer

Jessica has a rectangular poster. The poster is 1.8 meters long and 1.5 meters wide. What is the area of the poster in square centimeters?

Answers

You have to multiply length times width. In this case, the length is 1.8 meters. and the width is 1.5 meters. That would give you a total of 2.7 meters square. They are telling to you to put the answer in centimeters, so you have to change the meters to centimeters, 1 meters = 100 centimeters, so you have to multiply 2.7*100 which would give you an answer of 270 square centimeters. YOU'RE WELCOME :)

The area of Jessica's rectangular poster is 27,000 square centimeters.

What is the area of the rectangular poster?

Given the parameters:

Jessica's rectangular poster has dimensions of 1.8 meters in length and 1.5 meters in width.

To find the area of the poster in square centimeters, we need to first convert the dimensions from meters to centimeters, as the area is measured in square centimeters.

Hence:

Length in centimeters = 1.8 × 100 = 180 centimeters

Width in centimeters = 1.5 meters × 100 = 150 centimeters

Next, we can find the area of the poster in square centimeters:

Area = Length × Width

Area = 180 centimeters × 150 centimeters

Area = 27,000 cm²

Therefore, the area is 27,000 square centimeters.

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Damian wrote the number four and twenty three thousandths as 4.23 describe and correct hi number

Answers

Final answer:

The correct representation of four and twenty three thousandths in decimal form is 4.023, not 4.23. The second decimal place represents hundredths and the third decimal place represents thousandths.

Explanation:

Damian's notation of four and twenty three thousandths as 4.23 is incorrect. This number should be represented as 4.023. The reason is in the understanding of decimal places. In decimal notation, the first place after the decimal point represents tenths, the second represents hundredths, and the third represents thousandths. Hence, twenty three thousandths is written as 0.023. Damian, therefore, mislocated the decimal point. So, to correct his number, it would be four (the whole number) + twenty three thousandths (0.023) = 4.023.

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A triangle is rotated 180 degrees about the origin. Its image is reflected in the x-axis. The vertices of the final triangle are (-4,-4), (-2, -4), and (-3, -1). What are the vertices of the original triangle?

Answers

Hello!
So in this question, you need to do it backwards. This means, taking the vertices of the new triangle and reflecting it across the X axis, and then reflecting it 180 degrees.
The formula for reflecting across the X axis is--
(X,Y) -> (X,-Y) *Note, in this case, it may not always be negative Y. The                                  negative symbol only stands for the opposite. So it the                                    point is negative originally, then the new point would be                                  positive.
__________________________________
So, now you take your points, and use the formula.
(-4,-4) -> (-4,4)
(-2,-4) -> (-2,4)
(-3,-1) -> (-3,1)
Now, you have your new points. But, you still need to rotate it 180 degrees.
The formula to rotate 180 degrees is--
(X,Y) -> (-X,-Y)
Then, you take your new points, and use the formula for each coordinate.
(-4,4) -> (4,-4)
(-2,4) -> (2,-4)
(-3,1) -> (3,-1)
There is your answer. The new points would be--
(4,-4)
(2,-4)
(3,-1)
Hope this helped!
Regards,
~KayEmQue

The original vertices of the triangle is at A(4, 4), B(2, 4) and C(3, 1)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.

Rotation is the rotation of a figure about a point. If point A(x, y) is rotation 180 degrees about the origin, the new point is at A'(-x, -y).

Given the vertices of the final triangle are A'(-4,-4), B'(-2, -4), and C'(-3, -1) after a 180 degrees rotation. Therefore the original vertices of the triangle is:

A(4, 4), B(2, 4) and C(3, 1)

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What is the measure of angle EXH?

Answers

add the 3 angles together:

 30 + 30 + 30 = 90

 the answer is 90 degrees

THat would be the sum of the 3 marked angles

That is  90 degrees.

Which set of values could be the side lengths of a 30-60-90 triangle?

Answers

3×10 3×20 3×30 that would be The length ×width to figure that out

Answer:

can we see an example

Step-by-step explanation:

There is 3/4 of a pizza leftover from the night before. How many 1/8 portions are there

Answers

there are 6 portions left because 3/4x2= 6/8, 6/8 divided by 1/8 = 6
If you would want to know how many 1/8's you would have to find the LCD or LCM. Least common denominator of 3/4. It is 8. You multiply 2 by each side and you get 6. There are 6/8 of portions there.

5.35 rounded to the nearest hundredth

Answers

5.35 rounded to the nearest hundredth
Answer: 5.4
Hello there my friend :)

What is 5.35 rounded to the nearest hundred?

Your answer would be 5.4

Hope this helped ^_^

Have a Happy Thanks Giving Break :)
-Ans-

Victoria is 4 years older than her neighbor. The sum of their ages is no more than 14 years. Enter an inequality that can be used to represent this situation in the box, where x represents Victoria's neighbor's age..

Answers

x= neighbor of Victoria

x+4≤14= Victoria

x≤10 Victoria's neighbor

x+4≤14 Victoria is ≤ 14 years old

The answer on my test said that it's x+x+4=<14

a stem-and-leaf plot shows the shape of data but not individual values true or false

Answers

The given statement "a stem-and-leaf plot shows the shape of data but not individual values" is true.

What is a stem-and-leaf plot?

A stem-and-leaf plot is a graphical representation of a dataset that shows the distribution of data. It is useful for quickly summarizing and visualizing data, especially for small to moderate-sized datasets.

In a stem-and-leaf plot, the "stem" represents the first digit or digits of the data values, and the "leaves" represent the remaining digits. Each leaf corresponds to a single data value. For example, if the stem is "5" and the leaf is "2", it would represent a data value of 52.

While a stem-and-leaf plot provides information on the shape of the data, such as the range of values and the distribution, it does not show the individual data values directly. Instead, it groups them into bins based on the stem and leaf representation. To get the actual values, one needs to refer to the original dataset.

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Which of the following is an institution that functions much like a business, but does not operate for the purpose of generating profits? a business franchise a nonprofit organization a consumer cooperative a labor union

Answers

Non-profit organization

Answer:

a nonprofit organization

Step-by-step explanation:

A non profit organization is an organization that works with humanitary goals, and has non profit characteristics, they can not have a profit from their activities, but are able to gather money and to pay wages to their employees, they can also receive donations and are exempted from paying some kind of taxes.

-11.16 write as a fraction

Answers

First lets take away the negative sign for now
Now lets separate the number into its two components which are 11 and 0.16
Now lets rewrite it to 16/100
Next we want to find the greatest common factor between 16 and 100 which is 4 since 4 * 4 equals 16 and 4 * 25 equals 100 so its 4.
Now lets divide 16 and 100 by the greatest common factor so its sixteen divided by 4 over 100 divided by 4
Next we simplify all together which is 4/25
You remember that number 11 we had earlier, well we are going to go grab him back and add him to the fraction and make it 11 4/25 but... remember that negative sign, I said for now, right, so lets put him back on the spotlight.

Answer: -11 4/25
Final answer:

The decimal -11.16 can be converted into a fraction by placing it over 100 to create -1116/100, which simplifies to -279/25 when divided by their greatest common divisor, which is 4.

Explanation:

To convert the decimal -11.16 into a fraction, we first need to consider the position of the decimal points. Here, there are two digits after the decimal point. Therefore, you can put -11.16 over 100 (as there are two digits after the decimal point) to get a fraction. In this case, the fraction would be -1116/100. However, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor. The greatest common divisor of 1116 and 100 is 4. So when you simplify -1116/100, you get -279/25 as the simplest form.

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Max worked 13 hours last week at the grocery store and earned $94.25. If he only worked 5 hours this week, how much money did he earn.

Answers

He will earn $36.25. See work shown.
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