in a survey of a town 56% of residents own a car, 21% of residesnts own a truck

Answers

Answer 1

77% of people own both cars and trucks, 23% of people own (something else).

Related Questions

you have a part-time job that pays $4.75 an hour with tips allergy $4 and fifty an hour your deductions are fic a 7.65% federal tax withholding 12.5% in state tax withholding 6.85 % you work 20 hours per week you want to save $40 a week how much left in your discretionary income per week soon that all the income from your part time job is discretionary and the next one is

You decide to save 15% of your realized income how much do you save per month?

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I do believe that the answer is 27.75 if I have the correct definition of what the realized income is.

What is the sum of the roots of the polynomial shown below f(x)=x^3-4x^2-11x+30

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The sum of the roots of a cubic is the opposite of the coefficient of the squared term (provided that the leading coefficient is 1).

The sum of the roots is -(-4) = 4.

_____
The graph shows the roots to be -3, 2, 5, whose sum is 4.

Q # 18,Graph the inequality on a coordinate plane, - y < 3 x - 5

Answers

For this case we have the following inequality:
- y <3 x - 5
Rewriting we have:
y > -3x + 5
The solution is given in this case by the set of points that belong to the shaded region shown in the graph.
Answer:
see attached image.

which set of number could represent the length of the sides of a right triangle? A 9 11 14 B 15 18 21 C 7 24 25 D 8 9 10

Answers

Common Pythagorean triples include
(3, 4, 5)
(5, 12, 13)
(7, 24, 25)
(9, 40, 41)
The only Pythagorean triple that is an arithmetic sequence is (3, 4, 5), so any arithmetic sequence that is a Pythagorean triple must be a multiple of that, such as (9, 12, 15) or (15, 20, 25).

The arithmetic sequences of selections B and D are unrelated to the (3, 4, 5) triple, so cannot be Pythagorean triples. For selection A, we know that 9² + 11² = 81 + 121 = 202 > 14², so that is not a right triangle.

The appropriate selection is ...
C. 7, 24, 25

The correct answer is c 7 24 25
hope you did well

Eve is replacing the soil in her plant containers. How many cubic inches of soil will Eve need for the two rectangular containers?
A.45
B.216
C.648
D.864

Answers

The answer is B, 216in 3.

use similar triangles to solve. a person who is 5 feet tall is standing 140 ft from the base of a tree and the tree cast a 154 foot shadow. the person's Shadow is 14 ft in length what is the height of the tree

Answers

For this case we have the following relationship using similarity of triangles:
(x / 154) = (5/14)
Clearing the value of x we have:
x = (5/14) * (154)
Rewriting we have:
x = 55 feet
Answer:
the height of the tree is:
x = 55 feet

To find the height of the tree, you can create a proportion with the information that is given and solve for the height.

Heights: x 5 feet
Base Lengths: 154 feet 14 feet

14x = 770
14 14
x = 55 feet

The height of the tree is 55 feet.

Hey can you please help me posted picture of question

Answers

When tossing two coins the sample space will be:

{HH , HT, TH, TT}

So total number of outcomes = 4
Favorable outcome is getting exactly one Tail.
So, number of favorable outcomes = 2

Probability of getting exactly one tail = 2/4 = 1/2

Thus, the correct answer is TRUE

Using known taylor series, find the first four nonzero terms of the taylor series about 0 for the function. sqrt((1 + t))sin(t)

Answers

[tex]x + \frac{ {x}^{2} }{2} - \frac{ 7{x}^{3} }{24} - \frac{ {x}^{4} }{48} [/tex]

Answer:

T series

Step-by-step explanation:

find the value of x

Answers

From the definition of an isosceles triangle, the bases of the triangle are always equal to each other.

Knowing one of the bases on the triangle, we could know the other angle of the base.

This would be 43 degrees.

In other words, x would equal 43 degrees.

Hope this helps. If you have any questions, please put them in the comments below.

Answer:

43 degrees

Step-by-step explanation:

You can see that the triangle is congruent, so x is equal to 43. dont forget to include degrees!

Mike is looking for a loan. He is willing to pay no more than an effective rate of 8.000% annually. Which, if any, of the following loans meet Mike’s criteria? Loan X: 7.815% nominal rate, compounded semiannually Loan Y: 7.724% nominal rate, compounded monthly Loan Z: 7.698% nominal rate, compounded weekly a. Y only b. X and Z c. Y and Z d. None of these meet Mike’s criteria.

Answers

If Mike is willing to pay no more than an effective rate of 8.000% annually, the loans that meet his criteria are loan X and loan Z. Of those two, the lowest would be loan X. I hope the answer will help you :)

Answer:

b. X and Z

Step-by-step explanation:

Since, the effective rate is,

[tex]r=(1+\frac{i}{n})^i-1[/tex]

Where, i is the nominal rate,

n is the number of compounding periods,

For loan X,

i = 7.815 % = 0.07815,

n = 2, ( 1 year = 2 semiannual )

Thus, the effective rate would be,

[tex]r=(1+\frac{0.07815}{2})^2-1[/tex]

[tex]=0.079676855625[/tex]

[tex]=7.9676855625\%\approx 7.968\%[/tex]

Since, 7.968 % < 8.000 %,

⇒ Loan X meets Mike's criteria,

For loan Y,

i = 7.724 % = 0.07724,

n = 12 ( 1 year = 12 months ),

Thus, the effective rate would be,

[tex]r = ( 1+\frac{0.07724}{12})^{12}-1[/tex]

[tex]=0.0800339518197[/tex]

[tex]=8.00339518197\% \approx 8.003\%[/tex]

Since, 8.003 % > 8.000 %,

⇒ Loan Y does not meet his criteria,

For loan Z,

i = 7.698 % = 0.07698,

n = 52 ( 1 year = 52 weeks ),

Thus, the effective rate would be,

[tex]r = (1+\frac{0.07698}{52})^{52}-1[/tex]

[tex]=0.0799589986135[/tex]

[tex]=7.99589986135\%[/tex]

[tex]\approx 7.996\%[/tex]

Since, 7.996 % < 8.000 %,

⇒ Loan Z meets his criteria.

Therefore, Option 'b' is correct.

average of 2.99 2.59 3.50

Answers

Answer:

6.74

Step-by-step explanation:

add all numbers and divide how many numbers there are.

if 7 out of 8 people use crust toothpaste, how many use this product in a city with a population of 40,000?

Answers

Since 7 out of 8 people use crust toothpaste, in a city with the population of 40,000, 87.5% of the people use crust. so 40,000*87.5%= 35,000.

Solve each system of equation algebraically
y=x+2
y=-3x

Answers

Try this solution:
[tex] \left \{ {{y=x+2} \atop {y=-3x}} \right. \ =\ \textgreater \ \ \left \{ {{-3x=x+2} \atop {y=x+2}} \right. \ =\ \textgreater \ \ \left \{ {{y=2- \frac{1}{2}} \atop {x=- \frac{1}{2}}} \right. \ =\ \textgreater \ \ \left \{ {{y= \frac{3}{2}} \atop {x=- \frac{1}{2}}} \right. [/tex]

The easiest method to use to solve this equation is substitution. This is because we already have our second equation set equal to the variable y, so we can substitute the x values in for the variable y in the first equation, as follows:

y = x + 2

y = -3x

-3x = x + 2

To simplify, we should subtract x from both sides of the equation so that we can have all of the x terms isolated on the left side of the equation.

-3x - x = x - x + 2

-4x = 2

Finally, we must divide both sides of the equation by -4 to get the variable x alone.

x = -2/4

Because both the numerator and denominator of this fraction are divisible by 2, we can use this knowledge to simplify the fraction by dividing by the GCF of 2.

x = -1/2

Now that we know the value of x, we can substitute this value into either of our original equations to find out the value of y.

y = -3x

y = -3(-1/2)

y = 3/2

Therefore, your answer is x = -1/2 and y = 3/2, or written as an ordered pair (-1/2, 3/2).

Hope this helps!

What is the slant height x of this square pyramid? The figure shows a square pyramid. The slant height is shown as a dashed line perpendicular to the base edge and is labeled as x. The length of the lateral edge is 4 meters. The lateral edge makes a 60 degree angle with the base edge. Enter your answer in the box. Express your answer in radical form.

Answers

The side adjacent to the 60° angle in the right triangle consisting of x, the lateral edge, and half the base edge is half the base edge, 2 m. The side opposite that angle is x. Thus you have
tan(60°) = x/(2 m)
(2 m)*tan(60°) = x = 2√3 m

The slant height is 2√3 meters.

Based on the information given, it should be noted that the slant height will be 2✓3 meters.

From the information given, the slant height is shown as a dashed line perpendicular to the base edge and is labeled as x as the length of the lateral edge is 4 meters and the lateral edge makes a 60 degree angle with the base edge.

Therefore, the calculation of the slant height goes thus:

Tan 60° = x/2

x = 2 × tan 60°

x = 2 × ✓3

x = 2✓3

Learn more about triangles on:

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which has the smallest value 11 , 0.675,1.23,0.42,1.011

Answers

The number with the smallest value is 0.42.

Here are the numbers listed in order from least to greatest.

0.42, 0.675, 1.011, 1.23, 11

The reason has to do with the values of the position of the numbers. All Numbers to the left of the decimal point are whole numbers. Any number with numbers to the left have a whole number which is bigger than any decimal.

To the right of the decimal point the place values gets smaller the further you are to the right.

Compare 0.42 and 0.675
The 4 and 6 are both in the tenths place, therefore 0.42 is the smallest no matter how many more digits either has to the right of that number.

If one can of paint contains 2 2/5 gallons, how much paint is in 12 cans of paint?

Answers

12 cans will contain 28 4/5 gallons

Answer:12 2/4

Step-by-step explanation:

First of all that eqation is improper. So lets make that proper. To do that you just count by five till you get close to the number. 5,10,15,20 im close so lets stay there. So then it would be 4 1/5. Then you have to multiple that by 12.

And your awnser would be 50/4

then you need to make it propper.

12 2/4

What is the y-intercept of the equation of the line that is perpendicular to the line y = 3/5x + 10 and passes through the point (15, –5)?

Answers

The slope of the perpendicular line is the negative reciprocal of that of the given line, so is
-1/(3/5) = -5/3
Then the point-slope equation of the perpendicular line can be written as
y = (-5/3)(x -15) -5
y = (-5/3)x +20

The y-intercept of the perpendicular line is y=20.

The home of Russell Slater is assessed at $140,000. The tax rate is 11.8 mills. The actual amount of tax on Russell's home is:

$1,652

$1,462

$1,362

None of these

$1,562

Answers

number 3 is right i think

Q # 4 find the slope of the line through the pair of points A(2, -3), P(2, 9)

Answers

The answer is 12/0, which is undefined

The given points are (2, -3) and (2, 9)

The x-component of the two points is the same. Which means the line passing through the given two points is a vertical line and slope of a vertical line is undefined.

You can also validate it using the formula of finding slope.

Slope = (-3-9)/(2-2) = -12/0 = undefined

So, first option is the correct answer.

Esther pays $467 per month for 5 years for a car. she made a down payment of $3,700. if the loan costs 7.1% per year compounded monthly, what was the cash price of the car?

Answers

The present value of the string of payments added to the down payment is $27,228.33. This is the cash price of the car.

The correct cash price is d) $27,228.33.

To determine the cash price of the car, we need to calculate the present value of all payments made by Esther, including her down payment.

Calculate the total number of monthly payments:
Total number of payments: 5 * 12 = 60

Determine the monthly interest rate:
Monthly interest rate: 0.071 / 12 = 0.0059167 (approximately)

Calculate the present value of the monthly payments using the formula for the present value of an annuity:

P = PMT × [tex]\frac{[1 - (1 + r)^{-n]} }{ r}[/tex]

P = 467 × [tex]\frac{ [1 - (1 + 0.0059167)^{-60}]}{ 0.0059167}[/tex] = $23,528.33

Add the down payment to the present value of the monthly payments to get the total cash price of the car:

Total cash price = $23,528.33 + $3,700 = $27,228.33

Therefore, the correct answer is (d) $27,228.33.

The complete question is

Esther pays $467 per month for 5 years for a car. she made a down payment of $3,700. if the loan costs 7.1% per year compounded monthly, what was the cash price of the car?

a) $23,528.33

b) $19,828.33

c) $29,820.57

d) $27,228.33

e) $37,220.57

Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.
PLEASE HELP ASAP!! NEED NOW! THANKS!

Answers

y=-4/3x+300 i hope this helps you

Q # 13 please Graph the image. of AMOP for the translation

Answers

The rule for translation one unit to the right will be
( x' , y' ) = ( x+1 , y )

M (-3,1) ⇒⇒⇒⇒ M' (-2,1)
O (1 ,4) ⇒⇒⇒⇒ O' (2 ,4)
P (3,-1) ⇒⇒⇒⇒ P' (4,-1)

See the attached figure

select true statements. (-10x^(2)+5x+3)/(2x^(2)+4)

Answers are
The numerator has 3 terms
The denominator includes a coefficient of 4
The denominator includes a coefficient of 2
The numerator has 2 terms
The numerator includes a coefficient of 3

Answers

The correct answers for the exercise shown above, are:

- The numerator has 3 terms:

the first term is:-10x^2
the second term is: 5x
the third term is: 3

- The denominator includes a coefficient of 4:

2x^2+4

- The denominator includes a coefficient of 2:

2x^2+4

- The numerator includes a coefficient of 3:

-10x^2+5x+3

Answer: True statements:: The numerator has 3 terms; The denominator includes a coefficient of 2.

Step-by-step explanation:

the radius of a glass is 1.25 inches. What circumference? use 3.14 for pi

Answers

C=2×3.14×1.25

Answer= 7.85
I think this is the answer.

27.3 less than k is -57.7. What is the value of k ?

Answers

Simple logic. 1K = 1000. So, 1.66K =1660. Many people don't know what 1K means, it is natural. And while there are many people struggling on Facebook, posting weird duck-faced selfies just for the thirst of 100+ 'likes', I presume that you are lucky enough that you got 1600 views on Quora. That means a lot, buddy! :)

summation to integral? calculus

Answers

[tex]\displaystyle\sum_{k=1}^n\left(\dfrac{3k}n-1\right)^4\frac3n[/tex]

You should recognize the [tex]\dfrac3n=\dfrac{b-a}n[/tex] term on the right to represent the width of each equally-spaced subinterval of the integration interval [tex][a,b][/tex]. We don't know the endpoints' exact values just yet.

[tex]n[/tex] represents the total number of subintervals. If we fix it to some manageably small number, we can get a better picture of what the [tex]\left(\dfrac{3k}n-1\right)^4[/tex] term represents.

If [tex]n=3[/tex], the partial sum reduces to

[tex]\displaystyle\sum_{k=1}^3\left(\dfrac{3k}3-1\right)^4\dfrac33=\sum_{k=1}^3(k-1)^4=0^4+1^4+2^4[/tex]

This suggests the sum represents the left-endpoint Riemann summation to find the integral of [tex]x^4[/tex], and in particular, the integral seems to be taken over the interval [0, 3]. Taking the limit, we get

[tex]\displaystyle\lim_{n\to\infty}\sum_{k=1}^n\left(\dfrac{3k}n-1\right)^4\frac3n=\int_0^3x^4\,\mathrm dx[/tex]

Final answer:

In calculus, summation involves adding discrete values, while integration is akin to adding an infinite number of infinitesimally small products to find areas, volumes, etc. Integral calculus extends these concepts to continuous functions and is used, for example, to find position from acceleration by integrating twice.

Explanation:

The transition from summation to integral in calculus is an important concept that bridges the discrete world with the continuous. When we summate, we're adding together values to find a total amount. In a similar vein, an integral can be thought of as a continuous sum, where we're adding up infinitely small products to calculate an area, volume, or other quantities.

When performing an integral, the dimensions of what we're integrating must be consistent. For example, if we're integrating velocity (v) with respect to time (t), we obtain a dimension that is the product of the two, such as distance. This principle is rooted in the requirement of dimensional consistency, analogously understood in the phrase "You can't add apples and oranges."

Understanding the relationship between discrete sums and continuous integrals is crucial for applications in various fields, such as physics where integrals can represent cumulative effects over time or space. For example, integrating an acceleration function gives us velocity, and further integration yields position. This process allows us to work backward from acceleration to position, utilizing the power of integral calculus.

priority question

The dot plots below show the test scores of sixth- and seventh-grade students: Dot plot for Grade 6 shows 6 dots on score 70, 4 dots on score 80, 6 dots on score 90, and 4 dots on score 100. Dot plot for Grade 7 shows 5 dots on score 50, 7 dots on score 60, 4 dots on score 70, and 4 dots on score 80. Based on visual inspection of the dot plots, which grade, if any, appears to have the higher mean score? Grade 6 Grade 7 Both groups show about the same mean score. No conclusion about mean score can be made from the data.

Answers

Answer:

Grade 6 i think

Consider the differential equation dy/dx = 1/3x(y-2)^2.

(a) A slope field for the given differential equation is shown below. Sketch the solution curve that passes through the point (0, 2), and sketch the solution curve that passes through the point (1, 0).

(b) Let y = f(x) be the particular solution to the given differential equation with initial condition f(1) = 0. Write an equation for the line tangent to the graph of y = f(x) at x = 1. Use your equation to approximate f(0.7).

(c) Find the particular solution y = f(x) to the given differential equation with initial condition f(1) = 0.

(This was on the no-calculator section of the recently-released AP Calculus AB 2018 exam so I appreciate it if you tried to limit calculator usage)

Answers

a) Judging by the slope field, it would appear the solution passing through (0, 2) would just be the line [tex]y=2[/tex]. This holds up for the given ODE, since if [tex]y(x)=2[/tex], then both sides of the ODE reduce to 0.

Since we can surmise that [tex]y=2[/tex] is an equilibrium for this ODE (that is, the derivative along this line is 0 everywhere), and the slope at (1, 0) is positive, we know that as [tex]x\to+\infty[/tex], the function [tex]y(x)[/tex] will converge to 2. In other words, as [tex]x[/tex] gets larger, the slope field suggests that the solution curve through (1, 0) will start to plateau and steadily approach [tex]y=2[/tex]. On the other hand, as [tex]x\to-\infty[/tex], the slope field tells us that the curve would rapidly diverge off to [tex]-\infty[/tex]. (When you actually draw the solution, you would end up with something resembling the plot of [tex]-e^{-x}[/tex].)

b) The tangent line to [tex]y=f(x)[/tex] at [tex]x=1[/tex], given that [tex]f(1)=0[/tex], takes the form

[tex]\ell(x)=f(1)+f'(1)(x-1)[/tex]
[tex]\ell(x)=f'(1)(x-1)[/tex]

When [tex]x=1[/tex], we have [tex]y=0[/tex], so

[tex]f'(1)=\dfrac13\cdot1\cdot(0-2)^2=\dfrac43[/tex]

and so the tangent line to [tex]f(x)[/tex] at [tex]x=1[/tex] is

[tex]\ell(x)=\dfrac43(x-1)[/tex]

Using the tangent line as an approximation, we would find

[tex]f(0.7)\approx\ell(0.7)=\dfrac43\left(\dfrac7{10}-1\right)=-\dfrac4{10}=-0.4[/tex]

c) The ODE is separable, so we can write

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac13x(y-2)^2\iff\dfrac{\mathrm dy}{(y-2)^2}=\dfrac x3\,\mathrm dx[/tex]

Integrating both sides gives us

[tex]-\dfrac1{y-2}=\dfrac{x^2}6+C[/tex]

Given that [tex]y(1)=0[/tex], we get

[tex]-\dfrac1{0-2}=\dfrac{1^2}6+C\implies C=\dfrac13[/tex]

so the particular solution is

[tex]-\dfrac1{y-2}=\dfrac{x^2}6+\dfrac13[/tex]

You're asked to find the solution in the form [tex]y=f(x)[/tex], so you should solve for [tex]y[/tex]. You would end up with

[tex]y=-\dfrac6{x^2+2}+2=\dfrac{2(x^2-1)}{x^2+2}[/tex]

Final answer:

To sketch the solution curves passing through (0, 2) and (1, 0), we can use the slope field provided. The tangent line to y = f(x) at x = 1 can be found by taking the derivative of f(x) and substituting x = 1. We can find the particular solution to the differential equation by integrating it with the given initial condition f(1) = 0.

Explanation:(a) Solution curves through (0, 2) and (1, 0)

To sketch the solution curves, we can use the slope field provided. For the point (0, 2), the slope is 1/3(0)(2-2)^2 = 0. Thus, at (0, 2) the solution curve is horizontal. For the point (1, 0), the slope is 1/3(1)(0-2)^2 = 8/3. Thus, at (1, 0) the solution curve is directed upwards with a slope of 8/3.

(b) Tangent line at (1, 0) and f(0.7)

Since f(1) = 0, we already know that the point (1, 0) lies on the graph of y = f(x). The equation of the tangent line to y = f(x) at x = 1 can be found by finding the derivative of f(x) and substituting x = 1. In this case, the derivative is dy/dx = 1/3x(y-2)^2, so at x = 1, we have dy/dx = 1/3(1)(0-2)^2 = -8/3. Therefore, the equation of the tangent line is y - 0 = (-8/3)(x - 1), which simplifies to y = -8/3(x-1). To approximate f(0.7), we can substitute x = 0.7 into the equation of the tangent line to get y = -8/3(0.7 - 1) = -8/3(0.3) = -8/10 = -0.8.

To find the particular solution, we can integrate the differential equation with the given initial condition. Starting with dy/dx = 1/3x(y-2)^2, we can rewrite it as (y-2)^(-2)dy = 1/3xdx. Integrating both sides will give us the equation of the particular solution.

Learn more about Slope Field and Tangent Line here:

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A bag contains 7 blue, 12 red, and 6 orange marbles. Find each probability if you draw one marble at random from the bag. Write as a fraction. a) P (purple)
b) P (red or orange) Please
c)P(not blue) Help

Answers

Total = 7 + 12 + 6 = 25

Purple = 0
Red = 12/25
Orange = 6/25
Blue = 7/25

a. Since there is 0 purple, the answer is 0.
b. 18/25 ( 12/25 + 6/25)
c. 18/25 (Not blue = 25 - 7 = 18)

Hope this helped☺☺

A store purchases an item wholesale for 60$ and marks it up by 70 percent if there is a 7 percent tax on the item how much will the item cost

Answers

Answer:

109.14

Step-by-step explanation:

to Start off do 60 x .70, then add the answer to 60, then multiply by .07 then add that to 102, for the answer of 109.14

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