Paint costs $3.99 per can and brushes cost $2.50 each. The sales tax rate is 5%. Which expression represents the total cost of p cans of paint and b paint brushes

Cindy's new annual premium including the discount would be given by: Option A: $504.24

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

The table given is:

Type of Insurance Coverage  Coverage Limits  Annual Premiums

Bodily Injury                              $50/100,000          $31. 75

Property Damage                     $25,000                 $120. 50

Collision                                    $500 deductible    $275. 75

Comprehensive                        $100 deductible     $100. 00

Her total annual premium = 31.75 + 120.50 + 275.75 + 100 = $528

Discount offered to her = 4.5% of $528 = [tex]\dfrac{528}{100} \times 4.5 = 23.76[/tex] (in dollars)

The new premium that she needs to pay after discount = Old premium - discount = $528 - $23.76 = $504.24

Thus, Cindy's new annual premium including the discount would be given by: Option A: $504.24

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Answer:

its a

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

Area of a triangle = base * height.

Since the inside figure is a square, the base of the triangle must be 5.

To find the height: The length of the entire figure is 17; subtract 5 to account for the square, and you know that the remaining 12 must be divided easily on the right and left side; this shows that the height of the triangle on the left must be 6.

Plug these numbers into the formula: 5 * 6 / 2 = 15 :)

Answer:

the answer is 29

Step-by-step explanation:

The answer is 12 because

the length is 17 then i did minus 5 since that's the width

17-5=12

that's the length for the slanted part then......

12+12=24+5=29

(you get 5 from if you see the straight line on the right is 5 so on the other its the same thing.

Answer:

$79.99

Correct method:

[tex]\rightarrow \sf 5(r-14.5)=327.45[/tex]

[tex]\rightarrow \sf 5r-72.5=327.45[/tex]

[tex]\rightarrow \sf 5r=327.45+72.5[/tex]

[tex]\rightarrow \sf 5r=399.95[/tex]

[tex]\rightarrow \sf r=\dfrac{399.95}{5}[/tex]

[tex]\rightarrow \sf r=79.99[/tex]

The regular price is $79.99

Answer:

$79.99

Step-by-step explanation:

The error is in step 3.  He needed to ADD 72.50 to both sides of the equation.  Instead, he added 72.50 to the left side and subtracted 72.50 from the right side.

Correction calculation

5(r - 14.50) = 327.45

5r - 72.50 = 327.45

             5r = 399.95

                r = 79.99

The regular price is $79.99        

Answer:

2x + y = 5

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given

y = - 2x + 5 ( add 2x to both sides )

2x + y = 5 ← in standard form

Answer:

 y=-2x+5 as standard form is 2x+y=5

Answer:

the volume should be 9.42

The area of the sector of the circle will be 759.34 m². It is the amount of area enclosed inside the sector's perimeter.

The area of a circle's sector is the amount of space encompassed inside the sector's perimeter. The origin of a sector is always the circle's center.

The region of a circle encompassed by its two radii and the arc connecting them is known as the sector of a circle.

The given data in the problem is;

[tex]\rm \theta[/tex] is the central angle=[tex]\frac{10\pi}{7}[/tex]= 4.485

r is the radius = 18.4 m

The area of a sector of a circle is found as;

[tex]\rm A= \frac{\theta}{2} \pi r^2 \\\\ \rm A= \frac{4.485}{2} \times (18.4)^2 \\\\ \rm A=759.34 \ m^2[/tex]

Hence the area of the sector of the circle will be 759.34 m².

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Answer:

64 ounces

Step-by-step explanation:

Since 1 lb = 16 oz, just do 4 × 16 = 64

If puppy weighs 4 pounds then the weigh in ounces is 64 ounces.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

There are 16 ounces in a pound.

1 pound= 16 ounces.

Given that puppy weighs 4 pounds.

We have to find the wight in ounces.

To convert pounds to ounces, we need to multiply the weight in pounds by 16.

The puppy weighs 4 pounds x 16 ounces/pound

= 64 ounces

Hence, if puppy weighs 4 pounds then the weigh in ounces is 64 ounces.

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#SPJ2

[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &7\\ t=\textit{elapsed time}\dotfill &127\\ h=\textit{half-life}\dotfill &64.8 \end{cases} \\\\\\ A=7\left( \frac{1}{2} \right)^{\frac{127}{64.8}}\implies A=7\left( \frac{1}{2} \right)^{\frac{635}{324}}\implies A\approx 1.80[/tex]

The half-life of sr-85, which may be used in bone scans, is 64.8 days. 1.80 milligrams of a 7 mg sample will be left after 127 days.

Half-life is defined as the time required for a quantity to reduce to half of its initial value.

The half-life of sr-85, which may be used in bone scans, is 64. 8 days.

We need to find how many milligrams of a 7 mg sample will be left after 127 days.

[tex]\rm A = P\frac{1}{2} ^{t/h}[/tex]

here A = current amount

P = inital amount

t = time

h = half life

So,

[tex]\rm A = 7\frac{1}{2} ^{127/64.8}[/tex]

[tex]\rm A = 7\frac{1}{2} ^{635/324}\\A = 1.80[/tex]

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Answer:

4/1

Step-by-step explanation:

when you divide 4 by 1 you will get 4 which is your original answer.

Answer:

9x - 13y

Step-by-step explanation:

2(3x - 2y) + 3(x - 3y)

Use distributive law a(b + c) = ab + ac

⇒ 2·3x - 2·2y + 3·x - 3·3y

⇒ 6x - 4y + 3x - 9y

Gather like terms:

⇒ 6x + 3x - 4y - 9y

Combine like terms:

⇒ 9x - 13y

Answer:

∠BAC = 35°

AC = 5 cm

BD = 2.4 cm

Step-by-step explanation:

As ΔABC ~ ΔBDC then ∠CBD ≅ ∠BAC

As ∠CBD = 35° then ∠BAC = 35°

Using Pythagoras' Theorem

CB² + AB² = AC²

⇒ 3² + 4² = AC²

⇒ 25 = AC²

⇒ AC = 5 cm

As ΔABC ~ ΔBDC then

AB : AC = BD : BC

⇒ 4 : 5 = BD : 3

[tex]\sf \implies \dfrac45=\dfrac{BD}{3}[/tex]

[tex]\sf \implies BD=\dfrac{12}{5}=2.4\:cm[/tex]

**A right triangle with legs of 3cm and 4cm, and a perpendicular line from the hypotenuse to the right angle vertex, does not have an internal angle CBD of 35°.  It should be 36.87°.  So if you use SOHCAHTOA to find the length of BD, it will be incorrect. See attached diagram**

Answer:

Step-by-step explanation:

Given

Corresponding angles are congruent

Use Pythagorean to find the length of AC

The ratio of corresponding sides is equal

All you need to do is use your calculator to solve that equation. Just so you don't need to for just this one, here's the answer you should type into the box:

3/20

In Florida, one difference in plants is that as fall arrives seeds are ready to be harvested.

Fall is one of the four seasons that exists in most countries including the United States. During this season, temperatures drop, and days become shorter.

In most plants, the beginning of the fall implies the beginning of the harvesting season. This means that during this season seeds are ready to be collected or harvested.

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Answer:it answer is harvested

Step-by-step explanation:

Answer:

- more people need extra large sweatshirts than large sweatshirts

Answer: C

Step-by-step explanation:

More people need extra large sweatshirts than large sweatshirts.

Answer:

Real solutions

Step-by-step explanation:

I know that because I am smart

Answer:

432 feet^2

Step-by-step explanation:

If we fill in the edges, it'll be 24x8, since 16+2 is 18, and 20+2(2) is 24. 24x18 is 432. Brainliest please.

Answer:

9%

Step-by-step explanation:

Answer:

$1400

Step-by-step explanation:

x= profit of 6th month

(200+300+400+500+500+x)

-------------------------------------- = 550

6

(1900+x)=3300

x=3300-1900

x=1400

Answer:

1.

The radius is given, so the radius is = 10

The radius is doubled to be a diameter, so (10 + 10) = 20 is your diameter

And to solve for circumference, your formula is;

C = 2πr

Where 'r' represents the radius, and 'π'(pi) is 22/7 or 3.14.

Plug in your values:-

C = 2πr

C = 2(3.14) x 10

C = 6.28 x 10

C = 62.8, so your circumference is 62.8.

2.

Your radius is half of your diameter, so,

D/2 = R

D = diameter

R = Radius

49/2 = 24.5 is your radius.

Your diameter is given, so the diameter is 49.

Use the formula we applied for circumference in our other problem;

C = 2πr

C = 2(3.14) x 24.5

C = 6.28 x 24.5

C = 153.86, so 153.86 is your circumference.

well, when we use the word "the function" we're referring to the dependent part, which depends on the independent, y,x wise, we're referring to the function "y" or f(x) if you wish.

so for an exponential function

is the function ever positive only? it can be

is it negative only?  it can be

can it be both?  sure thing, most of the time it's both

we can say a function f(x) is always positive when the independent values of "x" yield a positive value only, mind you that when we're talking about "the function" we're really referring to the resulting values in a set, so can the values of the output no matter what "x" we use be always positive? sure, can they also be negative only? sure, how about both? sure thing.

notice the template in the picture below, we can transform any exponential function like the one above 2ˣ with some vertical shift upwards, and is always positive, or -2ˣ with a vertical shift downwards and it's always negative, or we can stretch it about and have -2ˣ shifted upwards so sometimes is positive, and sometimes is negative.

above the x-axis is always positive, below is negative, but with transformations on the parent function it can be any of the three types.

0.595

= 595/1000

= 119/200

Using the normal distribution, it is found that the probability is 0.16.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given by, respectively, [tex]\mu = 70, \sigma = 3[/tex].

The proportion of students between 45 and 67 inches is the p-value of Z when X = 67 subtracted by the p-value of Z when X = 45, hence:

X = 67:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{67 - 70}{3}[/tex]

Z = -1

Z = -1 has a p-value of 0.16.

X = 45:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{45 - 70}{3}[/tex]

Z = -8.3

Z = -8.3 has a p-value of 0.

0.16 - 0 = 0.16

The probability is 0.16.

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Answer:

See  below.

Step-by-step explanation:

Arranging the data in ascending order:

Team one: { 47, 49,  51,  53,  54,  54,  57, 59, 60, 62}

Team two:  {43, 48,  49,  51,   52, 53,  56, 57,  61,  63}

The mean for team one = sum of the scores / 10 =

= 546/10 = 54.6.

The median for team 1 = 54.

The mean for team two = sum of the scores / 10 =

= 533/10 = 53.3.

The median for team 2 = 52.5.

Team 1 has a higher mean than team 2:  54.6 - 53.3  = 1.3 higher.

In both cases, the mean is greater than the median though the difference is < 1 in both cases. So in both cases the distribution of the scores is close to symmetrical, with team 1 being slightly more symmetrical.

Answer:

1.97>1.89

Step-by-step explanation:

All of the other options are less than 1.89.

1.54 < 1.89

1.79 < 1.89

1.35 < 1.89

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

−Kallmekrish

Answer:

Step-by-step explanation:

Using the percentile concept, it is found that the maximum age of the youngest 25% of the passengers is of 30.

When a measure is in the xth percentile of a data-set, it is greater than x% of the measures and lesser than (100 - x)%.

Researching the problem on the internet, it is found that the distribution of the ages is described by a box and whisker plot, which states that:

Hence, the maximum age of the youngest 25% of the passengers is of 30.

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A 2 x 2 matrix has 2 rows and 2 columns

A specific 2 x 2 matrix a with no zero entries at all is [tex]\left[\begin{array}{cc}1&-2\\-3&6&\end{array}\right][/tex]

From the question, we understand that the matrix is a 2 x 2 matrix.

A 2 x 2 matrix is represented as:

[tex]\left[\begin{array}{cc}a&b\\c&d&\end{array}\right][/tex]

Also from the question we understand that the elements of the matrix are non-zero.

This means that:

[tex]a \ne 0\ , b \ne 0, \ c \ne 0, \ d \ne 0[/tex]

An example of such matrix is:

[tex]\left[\begin{array}{cc}1&-2\\-3&6&\end{array}\right][/tex]

Note that there are several matrices that fit the given construction requirement

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