- Mona Allen wants to buy a bed that costs $695. The city sales tax rate is 7%. In a nearby city the sales tax rate is 4%. How much less would the bed cost if Mona bought it in the nearby city?

Answer:

The answer is A, the CPI is 25.50, and the rate of inflation is 2%.

Step-by-step explanation:

I took the test and I know the correct answer. :)

Answer:

E) 102 and 2%

Step-by-step explanation:

Answer:

[tex]a=-\frac{2}{3}[/tex]

Step-by-step explanation:

We are given the lines, [tex]y=3x+8[/tex] and [tex]2y=ax-5[/tex]. For the latter equation, we can isolate the variable y to have the same format as the first. We want to create a y=mx+b equation where m represents the slope of the line. We now have the equations:

[tex]y=3x+8[/tex] and

[tex]y=\frac{a}{2}x-2.5[/tex]

The definition of perpendicular lines is that their slopes must be the negative reciprocal of each other. Thus:

[tex]-\frac{1}{3}=\frac{a}{2} \\\\a=-\frac{2}{3}[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

5/15

Step-by-step explanation:

Out of 15, 5 are yellow. Converted to a fraction this will be 5/15. Hope this helps!! :)

Answer:

1/3

Step-by-step explanation:

Take the total number of socks and compare it to the number of yellow socks. 15 and 5. Now divide the total by the specified group (yellow socks), by doing so, you get 3.

Every 1 in 3 socks is yellow, meaning the chance of picking a yellow sock at random is 1/3.

Answer:

O A. 3.1

Step-by-step explanation:

it's correct if I'm rwong (*´ω｀*)

Answer: The answer is C. 6.9

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

x-9=-8

x=-8+9

x=1

Answer:

x = 3.2

Step-by-step explanation:

Since they are similar the ratio of the side lengths must be the same

Using the bottom side and the unknown side from the left figure and the right figure

5            4

----- = --------

4            x

Using cross products

5x = 4*4

5x = 16

Divide by 5

x = 16/5

x =3.2

Answer:

https://www.gigacalculator.com/calculators/volume-of-sphere-calculator.php this the link for the marth calculate

find the volume of a sphere. Only a single measurement needs to be known in order to compute the volume of a sphere and that is its diameter. For example, if the diameter is known to be 20 feet, then calculate the volume by using the first formula above to get 4/3 x 3.14159 x (20/2) 3 = 4.1866 x 1000 = 4188.79 ft 3 (cubic feet).

Answer:

b=2A/h

Step-by-step explanation:

[tex]A = \frac{1}{2} bh \\ \\ \therefore \: 2 A = bh \\ \\ \therefore \: b = \frac{2 A}{h} [/tex]

Answer:

b = 2A/h

Step-by-step explanation:

To isolate b, you should first "get rid" of the 1/2. The best way to do this to multiply both sides of the equation by 2. The left side becomes 2A, while the right becomes bh (1/2 multiplied by its reciprocal, 2, becomes 1). Next, you have to move the h to the left side, and you could do so by dividing both sides by h. The left side becomes 2A/h, and the right is just b by itself, getting you b = 2A/h.

Answer:

y - 2 = 0

Step-by-step explanation:

find slope first:

(2-2)/(5+1) = 0/6 or 0

now use 'y=mx+b' to find the y-intercept (the 'b'):

2 = 0(5) + b

2 = b

so, in slope-intercept form, the equation is:  

y = 2

but, in standard form, the equation is:

y - 2 = 0

Answer:

the correct answer is 10

Step-by-step explanation:

Answer:

The focus is: [tex](0,2)[/tex]

Step-by-step explanation:

Given

[tex]y = \frac{1}{8}x^2[/tex]

Required

Determine the focus

The focus of a parabola

[tex](x- h)^2 = 4p(y - k)[/tex]

is:

[tex](h,k+p)[/tex]

So, we have:

[tex]y = \frac{1}{8}x^2[/tex]

Cross multiply

[tex]8y = x^2[/tex]

Rewrite as:

[tex]x^2 = 8y[/tex]

Rewrite as:

[tex](x - 0)^2 = 8(y - 0)[/tex]

Express 8 as 4 * 2

[tex](x - 0)^2 = 4 * 2(y - 0)[/tex]

By comparison with: [tex](x- h)^2 = 4p(y - k)[/tex]

[tex]h = 0[/tex]    [tex]p =2[/tex]     [tex]k = 0[/tex]

So, the focus [tex](h,k+p)[/tex] is:

[tex](h,k+p) = (0,0+2)[/tex]

[tex](h,k+p) = (0,2)[/tex]

Answer:

sí, (yo) quiero un chocolate

Answer:

45

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Given the mean of 8 numbers is 41 , then

[tex]\frac{sum}{8}[/tex] = 41 ( multiply both sides by 8 )

sum of 8 numbers = 328

Given the mean of 2 numbers is 29 , then

[tex]\frac{sum}{2}[/tex] = 29 ( multiply both sides by 2 )

sum of 2 numbers = 58

The sum of the remaining 6 numbers = 328 - 58 = 270 , so

mean = [tex]\frac{270}{6}[/tex] = 45

The mean of the other 6 numbers = 45

Answer:

14.6 units

Step-by-step explanation:

AB = [tex]\sqrt{(1-3)^2+(3-5)^2}[/tex]

AB =[tex]\sqrt{8}[/tex]

BC = [tex]\sqrt{(3-1)^2+(-1-3)^2}=\sqrt{20}[/tex]

CD = [tex]\sqrt{(5-3)^2+(3-(-1))} = \sqrt{20}[/tex]

DA = [tex]\sqrt{(5-3)^2+(3-5)^2} = \sqrt{8}[/tex]

Primeter = [tex]\sqrt{8} + \sqrt{20} + \sqrt{20} +\sqrt{8} = 14.6[/tex]

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Explanation:

The perimeter around the circle, aka circumference, is found through this formula

C = 2*pi*r

That's for a full circle. However, we're dealing with semicircles here, so we cut that in half to get pi*r to represent the curved distance around half the circle.

For the outer larger semicircle, that curved distance is exactly 14pi

For the inner smaller semicircle, that curved distance is 7pi, since 7 is half of 14.

The total curved portions is 14pi+7pi = 21pi

Then we add on the last straight line portion that's 14 cm long to get a total perimeter of 21pi+14

This is the exact perimeter in terms of pi.

The last thing to do is replace pi with 3.14 and simplify

21pi+14 = 21*3.14+14 = 79.94

This value rounds to 80

Answer:

C

Step-by-step explanation:

Answer:

54,600 ways

Step-by-step explanation:

i hope you understand this

Answer:

C. 60° and 80°

Step-by-step explanation:

Sum of triangle = 180°

Therefore,

8x + 4 + 6x - 2 + 10x + 10 = 180

Add like terms

8x + 6x + 10x + 4 - 2 + 10 = 180

24x + 12 = 180

24x = 180 - 12

24x = 168

x = 168/24

x = 7

Find each measure of the angles by substitute x = 7 into each expression

8x + 4 = 8(7) + 4 = 60°

6x - 2 = 6(7) - 2 = 40°

10x + 10 = 10(7) + 10 = 80°

The answer is 60° and 80°

Answer:

I don't know the answer

Step-by-step explanation:

c.1

Answer:

7.19%

Step-by-step explanation:

let i be the effective rate

[tex](1+\frac{.07}{4})^4=(1+i)\\.071859031[/tex]

The annual effective yield will be 7.19% for the investment.

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Given that Candace invests $636 in an investment that pays 7% interest compounded quarterly.

The annual effective yield will be calculated as below:-

[ ( 1 + ( 0.07 / 4 )⁴ ] = ( 1 + i)

Solve the equation:-

i = 0.0718

i = 0.0718 x 100 = 7.19%

Therefore, the annual effective yield will be 7.19% for the investment.

To know more about compound interest follow

https://brainly.com/question/24924853

#SPJ2

Answer:

the answer to this is c no association.

Answer:

C

Step-by-step explanation:

The scatter plot doesn't look linear at all. Therefore, there is no association to game attendance and games won.

Step-by-step explanation:

1. Soit

T = le coût d'un ticket

5T + 1.8 = 35

T = (35-1.8)/5 = 6.64

On ne sait pas le coût d'un ticket de tramway! :(

2.

a.

1 h : 60 min

x : 18

x = 1*18/60 = 0.3, ou 0.3h

b. => 1h18m = 1.3h

3. 16 L : 4 h

a.

x L : 365*24

x = 365*24 * 16/4 = 35040 L

b.

1 m^3 = 1000 L : 5.2 euros

35040 L : y euros

y = 5.2*35040/1000 = 182.21 euros (au centième)

4.

a. Voir graphique ci-attachée.

b. On voit bien que tous les points tombent sur la droite passant par l'origine, donc la relation est linéaire, ou proportionnelle.

c. La hauteur requise pour 270L est de 100 cm, approximativement, selon la graphique.

Notez la ligne bleue horizontale.

d. L'équation de la capacité (C) versus la hauteur (h) est

C(h) = (8/3)h

Pour C=270, 270 = (8/3)h  => h=270*(3/8) = 101.25

5. et plus

Désolé, on vous conseil de soumettre une question de 4 parties ou moins.

Step-by-step explanation:

100%-3%=97%

$1500*97%=$1455

Answer:

(a)

[tex]\mu=54[/tex]    

The standard deviation is  

[tex]\sigma=6.6543[/tex]

(b)

[tex]\mu=246\\\sigma=6.6543[/tex]  

Here sample size is large and np and n(1-p) are both greater than 30. So we can use a normal approximation of binomial distribution. z-score for Y = 234.5 (using continuity correction) is  

[tex]z=-1.73[/tex]

So the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks is  

[tex]P(Y\geq 235)=P(Y\geq 234.5)=P(z\geq -1.73)=0.9582[/tex]

Step-by-step explanation:  

Let X is a random variable that shows the number of people who would drop out of the Rewards Program within four weeks. Here X has binomial distribution with parameters n = 300 and p = 0.18.

(a)  

The mean number of people who would drop out of the Rewards Program within four weeks in a sample of this size is  

[tex]\mu=np=300\cdot 0.18=54[/tex]  

The standard deviation is  

[tex]\sigma=\sqrt{np(1-p)}=\sqrt{300\cdot 0.18\cdot 0.82}=6.6543[/tex]  

(b)  

Let Y is a random variable that shows the number of people in the sample who will still be in the Rewards Program after the first four weeks. Here Y has a binomial distribution with parameters n= 300 and p=0.82. So mean of Y is  

[tex]\mu=np=300\cdot 0.82=246\\\sigma=\sqrt{np(1-p)}=\sqrt{300\cdot 0.18\cdot 0.82}=6.6543[/tex]  

Here sample size is large and np and n(1-p) are both greater than 30. So we can use a normal approximation of binomial distribution. z-score for Y = 234.5 (using continuity correction) is

[tex]z=\frac{Y-\mu}{\sigma}=\frac{234.5-246}{6.6543}=-1.73[/tex]  

So the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks is  

[tex]P(Y\geq 235)=P(Y\geq 234.5)=P(z\geq -1.73)=0.9582[/tex]

==========================================================

Explanation:

Define the events

The given probabilities are

The notation "P(F given H)" refers to conditional probability. If we know the person ordered a burger, then it changes the P(F) from 0.50 to 0.80; hence the events H and F are dependent.

----------------------

We want to find the value of P(H and F), which is the same as P(F and H)

We can use the conditional probability formula

P(F given H) = P(F and H)/P(H)

P(H)*P(F given H) = P(F and H)

P(F and H) = P(H)*P(F given H)

P(F and H) = 0.60*0.80

P(F and H) = 0.48

There's a 48% chance someone orders a burger and fries.

Answer:

p = 2×h + 3

Step-by-step explanation:

for every hour in class she writes 2 pages.

so, the total number of pages written is 2 times the number of hours in class.

and she had already a starting "offset", a head start if you will, of 3 pages.

so, even if she spends 0 hours in class, she has these 3 pages no matter what.

hence the "+ 3" part.