Round to the nearest hundredth 160(1+0.04)

Answers

Answer 1

Answer:

166.4

Step-by-step explanation:

160(1+0.04)

Using PEMDAS

Parentheses first

160 (1.04)

Multiply

166.4

This does not go to the hundredths place so we do not need to round

166.4

Answer 2

We can use the distributive property to solve: a(b + c) = ab + ac

160(1 + 0.04)

(160 * 1) + (160 * 0.04)

160 + 6.4

166.4

Best of Luck!


Related Questions

Do ya'll know how to do this? (grade 10)

Please help im stranded :(

(15 Points)

Answers

Answer:

a.) (-16,0)(0,12)

b.) (-3,0)(0, 3/2)

Step-by-step explanation:

Plug it in for each.

y= 3/4x+12 (Lets plug in our x intercept of (x,0) and our y intercept of (0,y)

x-intercept

0=3/4x+12

-12        -12

-12=3/4x

-12/(3/4)=x

-16=x

SO, your x intercept is -16 which is point (-16, 0)

Now to do your y intercept in lets plug x in as 0 instead this time:

y = 3/4(0)+12

y = 12

Your y intercept is 12

Now for b its the same process of plugging 0 in for the values let

y-int=-2(0)-4y+6=0

                      -6  -6

                       -4y/-4=-6/-4 <- divide both sides by 4

                              y = 3/2 <- Simplified answer

y int = (0, 3/2)

x-int = -2x-4(0)+6 = 0

                       +6   +6

                       -2x = 6

                           x = 6/-2 <-- Divide both sides by -2

                           x = -3     <-- Simplify

x-int = (-3, 0)

Amber is trying to solve 3x^2-4x=0 using a graphical method. She therefore starts by drawing the graph of y=3x^2 on a grid she now intends to complete her method by drawing a straight line graph in the same grid. complete Ambrrs method to solve 3x^2-4x=0

Answers

You can rewrite the equation as

[tex]3x^2-4x=0 \iff 3x^2=4x[/tex]

So, you draw the graph of [tex]y=3x^2[/tex] (the parabola), and then the graph of [tex]y=4x[/tex] (the line), and see where they intersect.

Final answer:

To solve the equation 3x^2 - 4x = 0 graphically, Amber can draw the graph of y=3x^2 and a straight line that intersects the parabola. The x-values where the line intersects the parabola are the solutions to the equation.

Explanation:

To solve the equation 3x^2 - 4x = 0 using a graphical method, Amber starts by drawing the graph of y=3x^2. This is a parabola that opens upwards with a vertex at the origin (0,0). Since she wants to find the x-values that satisfy the equation, she needs to draw a line that intersects the parabola. The line should be a straight line that crosses the x-axis at the values of x that make the equation true.

To draw this line, she needs to find two points that lie on the line. Since the equation is linear, she can choose any two points to draw the line. Let's choose two points that are easy to calculate. For example, when x=0, y=9 and when x=1, y=12. Plot these two points on the graph.

Next, draw a straight line that passes through these two points. Extend the line so that it intersects the parabola. The x-values where the line intersects the parabola are the solutions to the equation 3x^2 - 4x = 0. In this case, the line intersects the parabola at x=0 and x=4/3.

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A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is 15 feet.

Answers

Answer:

The length of ladder is 17 feet .

Step-by-step explanation:

Refer the attached figure .

Let the length of ladder AC be h

We are given that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder.

So ,Perpendicular = AB = h-9

Distance from the bottom of the ladder to the building= BC = Base =15 feet.

Using Pythagoras theorem

[tex]Hypotenuse^2=Perpendicular^2+Base^2\\h^2=(h-9)^2+15^2\\h^2=h^2+81-18h+225\\18h=306\\h=\frac{306}{18}\\h=17[/tex]

Hence The length of ladder is 17 feet .

What expression represents the volume of the prism, in cubic units?

Answers

1/2x^3
Is the expression to find the volume of the prism in cubic units

Final answer:

Volume of a prism is represented in cubic units as length x width x height. The SI unit of volume is cubic meter (m³) and a common unit is the liter (L), equivalent to a cubic decimeter (dm³).

Explanation:

Volume is defined as the amount of space occupied by a solid in cubic units, and for a prism that is length x width x height. In the case of volume, it goes like length cubed, represented as V = L³.

The SI unit of volume is cubic meter (m³), equal to the space occupied by a cube of 1m on each edge. A more commonly used unit of volume is the liter (L), which is equivalent to a cubic decimeter (dm³).

What is the value of b in the equation below? 9^-8 x 9^-2 = a^b
-10
-6
9
16

Answers

Answer:

-10

Step-by-step explanation:

9^-8 x 9^-2 = a^b

We know that x^y * x^z = x^(y+z)

9^-8 x 9^-2 = 9^(-8+-2) = 9^(-10)

a= 9  

b = -10

Your answer is the first option, -10

Laws of Indices states that a^b x a^c = a^(b + c), therefore 9^-8 x 9^-2 = 9^(-8 - 2) = 9^-10

An aquarium I’d 8 feet long , 5 feet wide, and 5.5 feet deep . What is the volume of the tank?

Answers

Answer:

V = 220 feet³

Step-by-step explanation:

Formula: V = LWH

(8ft) (5ft) (5.5ft) = 220 ft^3

(3 × 9) + (5 + 8) + (33 ÷ 3) =

Answers

Answer:

Step-by-step explanation:

(3 x 9) + (5 + 8) + (33/3) = 51

   27   +     13    +    11     = 51

Answer:

51

Step-by-step explanation:

use PEMDAS

How would you find # 3 HELP ASAP PLZZ

Answers

Answer:

24 = AE

How to find it

AB = 26 and BD = 20 find AE

Because its a rhombus point is the midpoint of BD so BE is 1/2 BD so BE is 10

Now we no longer need to use BD and instead we use BE

Now since ∠BEA is 90° we can use the Pythagorean Theorem

AB²-BE²=AE²

26²-10²=AE²

676-100=AE²

576=AE²

[tex]\sqrt{576}[/tex]=AE

24 = AE

the number 0.7777 repeats forever therefore it is irrational true or false?

Answers

Answer:

It's false, this number is a rational number.

Step-by-step explanation:

It's false, the kind of decimal where the same digits repeats forever are known as periodic decimals and they can be represented with fractions therefore they are a part of the rational numbers. To represent this number in a fraction form we need to first identify the part that repeats, in this case it's 7, since it's only one number we can insert it in the numerator and the denominator will have a 9, if it were two numbers the denominator would have a 99 and so on. So in this case:

7/9 = 0.7777...

Final answer:

The statement is false. The number 0.7777 repeating is not an irrational number, but a rational number, as it can be expressed as the fraction 7/9.

Explanation:

The statement is false. The number 0.7777 repeating is not an irrational number. An irrational number is a number that cannot be expressed as a/b, where a and b are integers and b ≠ 0. However, the number 0.7777 repeating can be expressed as a fraction, specifically, as 7/9. Therefore, it does not meet the definition of an irrational number and is, in fact, a rational number.

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(5^3)5
help me with my math i need to get up to an 70%

Answers

Answer: 625

Step-by-step explanation:

Do 5 to the third power, get the answer, and then multiply times 5 to get 625. Please mark this as the brainliest answer <3

Find the height of the giraffe in the diagram below​

Answers

the giraffe is 18 feet tall.

The giraffe is 18 feet tall

A logical argument arranged with statements and reasons.

Answers

The answer is Two column proof

The angle shown is in standard position. Select the possible measures of the angle. –450° –360° –270° –90° 90° 270° 360° 450° On a coordinate plane, 2 rays are shown. One ray is on the x-axis between quadrants 1 and 4, and the other ray is on the y-axis between quadrants 3 and 4.

Answers

Answer: a, d,f

On edge.

Step-by-step explanation:

The possible measures of the angle are -450°, -90° and 270°

What is terminal side?

An angle is in standard position if its vertex is located at the origin and one ray is on the positive x-axis. The ray on the x-axis is called the initial side and the other ray is called the terminal side.

In any standard position, the vertex of the angle is on the origin (0, 0) of the x and y-axis. Therefore, one side of the angle is always fixed along the positive x-axis, namely, going to the right along the axis in the 3 o'clock direction. This is called the initial side of the angle. The other side of the angle is called the terminal side.

Hence, the angles that match the figure above are the measures of the angle. That is:

-450°

-90°

270°

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What if you wanted a smaller margin of error in your interval for the proportion of left-handed people (say plus or minus 2%)? How many people would you need to survey in order to get a margin of error of 2% ? You can use the LaTeX: \hat{p} p ^ that you already calculated as your estimate in the sample size formula.

Answers

Answer:

The sample size n= 2500

A survey with 2500 left-handed people guarantees  the given margin error is 2%

Step-by-step explanation:

Explanation:-

The margin of error = [tex]\frac{2 S.D}{\sqrt{n} }[/tex]

here for proportions , the standard deviation (σ) = [tex]\sqrt{p(1-p)} \leq \frac{1}{2}[/tex]

[tex]Margin of error = \frac{2 S.D}{\sqrt{n} } \leq \frac{2(\frac{1}{2}) }{\sqrt{n} }[/tex]

[tex]Margin of error = \frac{1}{\sqrt{n} }[/tex]

now The necessary sample size is

[tex]n= \frac{1}{(M.E)^{2} }[/tex]

Given data the survey in order to get a margin of error of 2%

M.E = 0.02

[tex]n= \frac{1}{(0.02)^{2} } = 2500[/tex]

Conclusion:-

The sample size n= 2500

A survey with 2500 left-handed people guarantees the given margin error is 2%

Consider the matrix shown below:
What are the dimensions of A.



3 X 4

4 X 3

12

A and B

Answers

Answer:

Dimensions of a matrix:

r × c

Where r is the no. of rows and c is the no. of columns

If A has 4 rows (horizontal) and 3 columns (vertical),

Dimensions are: 4 × 3

If A has 3 rows (horizontal) and 4 columns (vertical),

Dimensions are: 3 × 4

What is the answer to 1/4 + 7/10 in its simplest form

Answers

[tex]\dfrac{1}{4} =0,25\\\dfrac{7}{10} =0,7\\\dfrac{1}{4} +\dfrac{7}{10}=0,25+0,7=0,95[/tex]

A house was built in 1985 and cost $62000. It was sold in 2003 for $310000.
(a) Work out the 1985 price as a percentage of the 2003 price.
(b)Calculate the percentage increase in the price from 1985 to 2003.

Answers

Answer:

a) 20%

b) 400%

Step-by-step explanation:

In a) you firts do

$310000=100% what about $62000.Then cross multiply

$62000×100%=6200000÷310000=20%

In b) you first do

$62000=100% what about $248000.Then cross multiply

$248000×100=$24800000÷62000=400%

Final answer:

The 1985 cost of the house is 20% of the 2003 price. There was a 400% increase in price from 1985 to 2003.

Explanation:

To answer both parts of this question, we will use the concept of percentages.

(a) First, we calculate the 1985 price as a percentage of the 2003 price by dividing the cost of the house in 1985 by the cost in 2003, and then multiply the result by 100 to give a percentage. So we have (62000/310000)*100 = 20%. Therefore, the 1985 house cost represents 20% of the 2003 price.

(b) To calculate the percentage increase from 1985 to 2003, we take the difference in prices from 1985 to 2003, divide this by the original price in 1985, and then multiply the result by 100. So we have ((310000-62000)/62000)*100 = 400%. Hence, there was 400% increase in the price from 1985 to 2003.

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5 2/3 x 4 1/2 make sure your anser is correct

Answers

The answer is 25.5 as a decimal, as a fraction it is 51/2.

In the coordinate plane, a circle has center (2, -3) and passes through the point (5, 0).
What is the area of the circle?

Select the appropriate response:

A) 3
B) 9
C) 18
D) 25

Answers

Answer:

18pi or 56.52 units²

Step-by-step explanation:

Radius² = (-3-0)² + (2-5)²

= 18

Area = pi × r²

3.14 × 18

56.52

The area of the circle is 57.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

To find the area of the circle, we need to know the radius.

The radius can be determined using the distance formula between the center of the circle (2, -3) and the point on the circle (5, 0).

The distance formula is given by:

d =√(5 - 2)² + (0 - (-3))²

= √3²+ 3²

=√9 + 9

=√18

The radius is the distance between the center and a point on the circle, which is the square root of 18.

Now, we can calculate the area of the circle using the formula:

Area = π × radius²

Area = π ×√18²

= 18π

= 56.52

Hence, the area of the circle is 57.

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Suppose a population of 200 crickets doubles in size every month the function f(x) equals 200×2 to the X power gives the population after X months how many crickets will there be after three years

Answers

Answer:

≈ 1.37 * [tex]10^{13}[/tex]

Step-by-step explanation:

Given the exponental function is:

F(x) =  200*[tex]2^{x}[/tex] where:

200 is initial value of crickets 2 is the base number (doubles in size every month) x is the number of months  

How many crickets will there be after three years?

3 years = 12*3 = 36 so x = 36. Substitute x into the function we have:

F(x) = 200*[tex]2^{36}[/tex] ≈ 1.37 * [tex]10^{13}[/tex]

So the number of crickets after three years is: ≈ 1.37 * [tex]10^{13}[/tex]

Answer:  There will be 1.37 x 10^13  crickets after 3 years.

Step-by-step explanation:

Hi, to answer this question we simply have to replace x in the formula by the number of months in 3 years.

f (x) = 200 (2^x)

Where x is the number of months

Since one year has 12 months,

for 3 years: 3 x 12 = 36 months

Substituting  x= 36 on the function

f (36) = 200 (2^36)

f (36) = 200 (2^x)

f(36) = 1.37 x 10^13

Feel free to ask for more if needed or if you did not understand something.

1. There are 65 adults and 15 children in a movie theater. Of these people, 41 adults and 6 children bought popcorn.


a) What is the probability that a randomly selected person in the theater is a child or someone who bought popcorn.


b) What is the probability that a randomly selected person is an adult or someone who did not buy popcorn.

My answers are 0.70 and 0.925 respectively. My friends believe otherwise.

Answers

Answer:

a. 7/10

b. 79/240

Step-by-step explanation:

Please see the attached files for details

Answer:

a) 0.70

b) 0.925

You are right and your friends are wrong.

Step-by-step explanation:

- 65 adults and 15 children in a movie theater

- 41 adults and 6 children bought popcorn

Number of children in the theatre = 15

Number of adults in the theatre = 65

Number of children that bought popcorn = 6

Number of children that did not buy popcorn = 15 - 6 = 9

Number of adults that bought popcorn = 41

Number of adults that did not buy popcorn = 65 - 41 = 24

Total number of persons that bought popcorn = 41 + 6 = 47

Number of people that did not buy popcorn = 80 - 47 = 33

Total number of persons in the theatre = 65 + 15 = 80

a) The probability that a randomly selected person in the theater is a child or someone who bought popcorn.

Required probability

= (number of children or people that bought popcorn) ÷ (total number of people)

There 15 children, and 47 people that bought popcorn, but of the 47, there are still 6 children amongst them.

Hence, the number of children or people that bought popcorn = 15 + 47 - 6 = 56

Total number of people = 80

Required probability = (56/80) = 0.70

b) The probability that a randomly selected person is an adult or someone who did not buy popcorn.

Required probability

= (number of adults or people who did not buy popcorn) ÷ (total number of people)

There are 65 adults, and 33 people that did not buy popcorn, but of the 33, there are still 24 adults amongst them.

Hence, the number of adults or people who did not buy popcorn

= 65 + 33 - 24 = 74

Total number of people = 80

Required probability = (74/80) = 0.925

You are right and your friends are wrong.

Hope this Helps!!!

1/7 divided by 4. 1/7 divided by 4 1/7 divided by 4 1/7 divided by 4 1/7 divided by 4 1/7 divided by 4 1/7 divided by 4

Answers

0.035714285714286
is the decimal form

Answer:

0.035714285714286

Step-by-step explanation:

is the decimal form

Question 1 (1 point)
The ordered pairs in the table below represent a linear function.
Xy
23
9 h
What is the slope of the function?
1/2
Oo oo
1/4

Answers

25 is the answer ur welcome
The answer is 25, I gotchu

Luke is x years old. Kate is half of Luke's age. Adam is 6 years younger than Kate. Adam is 4 years old. How old is Luke?

Answers

Answer: luke is twenty

Step-by-step explanation: Adam is 4 plus 6 is 10 ten times two is twenty

Answer:

luke is 20

Step-by-step explanation:

because you had 6 and 4 and multiply it by 2

A circle with radius of 5 cm sits inside a 11 cm * 11 cm rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.

Answers

Answer:

42.43  [tex]cm^{2}[/tex]

Step-by-step explanation:

Given:

A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.

Question asked:

What is the area of the shaded region as shown in the figure ?

Solution:

First of all calculate area of circle and then area of rectangle:-

[tex]Area\ of\ cirle=\pi r^{2}[/tex]

                      [tex]=\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\ \\=78.571\ cm^{2}\\[/tex]

As here length an width both are 11 cm, we can say that this is a square.

[tex]Area\ of\ square=(Side)^{2}[/tex]

                         [tex]=11\times11=121\ cm^{2}[/tex]

Now, area of shaded region = Area of square - Area of circle

                                               = 121 - 78.571 = 42.429 [tex]cm^{2}[/tex]

Therefore, the area of the shaded region will be 42.43  [tex]cm^{2}[/tex]

(-1,-4) and (6,10) x intercept write as ordered paid

Answers

Answer:

y=2x-2 I hope this helps

Step-by-step explanation:

Slope intercept form, y=mx+b

The drama club members at Millie's middle school are selling tickets to the school play. Millie wants to determine the average
number of tickets sold. First, she surveyed the club members in her homeroom, and then she surveyed every third member of
the club in her physical education class. Which sampling technique should produce a more representative sample?

Answers

Answer:

Every third member of the club in her physical educations class

Step-by-step explanation:

The reasoning behind this is because if Millie surveys her club members who are hosting the school play, she wouldn't be able to get an accurate average number of tickets sold because the club member have a bias in terms of purchasing the tickets as they run the club. Meanwhile the physical education class has a more random assessment because every third person in the class may or may not have an interest in the play the same way the club would.

Answer:The answer is

Neither sample will be representative. B on edge

Step-by-step explanation:):):):):):):):):):) I GOT IT RIGHT

Brian just bought 9 bags of 14 cookies each. He already had 8 cookies in a jar. How many cookies does Brian have now?

Answers

Answer: 134 cookies

Step-by-step explanation: First we want to find the total amount of cookies Brain bought. Simply multiply 14 x 9 to find the total amount of cookies bought.

14 x 9 = 126 cookies.

Since Brian already had 8 cookies in the jar, we will simply add the new amount of cookies he bought to the cookies in the jar left.

126 + 8 = 134 total cookies that Brain has now.

He bought 9*14=126 cookies. Since he already had 8 cookies, he now has 126+8=134 cookies.

A box contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number that is less than 12
A 1/100
B 1/12
C 11/100
D 12/100​

Answers

Answer:

c

Step-by-step explanation:

If there are 100 cards and you can only pick numbers less then 12, you then could only have a number between 1 and 11

Answer:

its c

Step-by-step explanation:

The volume of the prism is 81 m3. What is the volume of a pyramid that has the same base and height as this prism?

__m3?

Answers

Answer:

27

Step-by-step explanation:

When looking for the volume of a prism you multiply the base and height to get the volume. When looking for the volume of a pyramid of the same base and height all you need to do is multiply .333 or 1/3 in decimal form to get the correct answer.

The volume of the prism: (3)(3)(9) = 81

The volume of the pyramid: (1/3 or .333)(3)(3)(9) = 26.973 = 27

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At the beginning of the tax year, Barnaby's basis in the BBB Partnership was $151,800, including his $15,180 share of partnership debt. At the end of the tax year, his share of debt was $22,770. His share of the partnership's income for the year was $60,720, and he received cash distributions totaling $37,950. In addition, his share of the partnership's nontaxable income was $3,036. How much is Barnaby's basis at the end of the tax year A string of 18 identical Christmas tree lights are connected in series to a 130 V source. The string dissipates 61 W.What is the equivalent resistance of the light string?Answer in units of .What is the resistance of a single light? Answer in units of .How much power is dissipated in a single light?Answer in units of W.One of the bulbs quits burning. The string has a wire that shorts out the bulb filament when it quits burning, dropping the resistance of that bulb to zero. All the rest of the bulbs remain burning.What is the resistance of the light string now?Answer in units of .How much power is dissipated by the string now?Answer in units of W. On January 2, 2015, Pharoah Corporation issued $1,700,000 of 10% bonds at 97 due December 31, 2024. Interest on the bonds is payable annually each December 31. The discount on the bonds is also being amortized on a straight-line basis over the 10 years. (Straight-line is not materially different in effect from the preferable "interest method.") The bonds are callable at 102 (i.e., at 102% of face amount), and on January 2, 2020, Pharoah called $1,020,000 face amount of the bonds and redeemed them. Ignoring income taxes, compute the amount of loss, if any, to be recognized by Pharoah as a result of retiring the $1,020,000 of bonds in 2020. (Round answer to 0 decimal places, e.g. 38,548.) 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Since lower-income people spend a larger proportion of their incomes on groceries than do higher-income people, if grocery stores were required by law to charge a 10-cent fee for disposable bags, this fee could be considered a Select one: a. progressive tax. b. proportional tax. c. income tax. d. regressive tax. Plz cash app me plz plz plz plz A car's fuel efficiency is measured by the distance it can drive per a single unit of fuel. A common unit for efficiency is km/1, kilometers per liter of fuel. C(S) models the fuel efficiency of a certain car as a function of the car's speed S (in kilometers per hour). Match each statement with the feature of the graph that most closely corresponds to it. In the diagram below, point U is on segment $\overline{BY}$ and the measure of angle BUG is 30 degrees greater than the measure of angle GUY: the parts of DNA that provide the code for proteins are the___ A used car costs $2,200 cash, or $600 down and $100 a month for 20 months. How much money do you save by paying cash? A two-dimensional reducing bend has a linear velocity profile at section (1) . The flow is uniform at sections (2) and (3). The fluid is incompressible and the flow is steady. Find the maximum velocity, V1,max, at section (1). Which statement about asteroids and meteoroids is true?Meteoroids are pieces of leftover comets.Most meteoroids orbit between Mars and Jupiter.Asteroids frequently crash into Earth.Asteroids are pieces of meteors. 1. PART A: Which statement identifies the central idea of the text? A Experts have spent time researching how different the teenage brain is from adults brains, when they are actually more similar than different. B Teenagers often engage in risky behavior to fulfill the narrative they have been told about how teenagers are supposed to behave. C Explanations for why teenagers engage in risky behavior have been overly focused on brain development, rather than their natural need to explore the world. D Teenagers risky behavior is influenced by the combined effects of their hormone levels and their brain development. do all metal oxides produce alkaline solutions? explain why or why not? Kelly's recipe calls for 13 ounces of chicken. Her scale only measures in grams. Which of the following shows the number of grams of chicken, with the correct significant digits, that Kelly needs to include in her recipe in order to have 13 ounces? (1 ounce = 28.3495 grams) A) 368.5435 B) 367.9 C) 369 D) 370 Two plumbers charge different rates for service. The first plumber charges $100 for every service call plus $25 per hour of service. The second plumber charges $50 for every service call plus $50 per hour of service. After how many hours do the plumbers charge the same amount