The total (after-tax) cost of a laptop computer is $1567.99. The local sales tax rate is 5.5%. What is the retail (pre-tax) price?The retail (pre-tax) price of the computer is s(Simplify your answer. Round to the nearest cent as needed.)

Answer:

21 is the answer

a question arises how?? right

so, 3x+1

3×21+1

63+1

64

Answer:

a) 21

Step-by-step explanation:

Since, in the figure

64° = (3x+1)° [Vertically Opposite Angles]

=> (3x+1)° = 64°

=> 3x = 64° - 1° = 63°

\( => x = \frac{63}{3} \)

=> x = 21 (Ans)

(A) To use the exponential formula, we need to determine the values of P, r, and n.

P = $8,500, the initial deposit

r = 2.6% = 0.026, the annual interest rate

n = 4, the number of times interest is compounded per year (quarterly)

(B) The formula for the future value of the account is:

A = \(P(1 + r/n)^{nt}\)

where t is the time in years. Plugging in the values from part (A) and t = 9, we get:

A = \($8,500(1 + 0.026/4)^{(4×9)}\) = $11,169.62

Therefore, Deshawn will have $11,169.62 in the account after 9 years.

(C) The annual percentage yield (APY) takes into account the effect of compounding on the interest rate. The formula for APY is:

APY = \((1 + r/n)^{n}\) - 1

Plugging in the values from part (A), we get:

APY = \((1 + 0.026/4)^{4}\) - 1 = 0.02639

Therefore, the APY for the savings account is 2.639%.

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Answer:

\(y-2=3(x-4)\)

Step-by-step explanation:

We are given a line contains the point (4, 2).

We also know that the line is parallel to y= 3x - 7.

We want to write the equation of this line.

Parallel lines have the same slopes.

First, let's find the slope of y = 3x - 7.

3 is in the place of where m (the slope) is, so that means it is the slope of that line.

It is also the slope of the line whose equation we want to write.

The equation of the line can be written in three ways:

All of these ways are valid, but for this problem, let's write the equation in point-slope form, as it is the easiest.

Substitute 3 as m in \(y-y_1=m(x-x_1)\).

\(y-y_1=3(x-x_1)\)

Now, substitute 4 as \(x_1\) and 2 as \(y_1\).

\(y-2=3(x-4)\)

Topic: parallel and perpendicular lines

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Answer:

here

Step-by-step explanation:

Answer:

Step-by-step explanation:

If he drives the car 218.4 miles in 2.4 hours. Then the speed of the car will be 91 miles per hour.

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units of time, then that object's speed will be given as

Speed = Distance traveled/Time taken

        S = D/T

Phillip is competing in a race car competition.

He drives 218.4 miles in 2.4 hours.

Then the speed of the car will be

S = 218.4/2.4

S = 91 miles per hour

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Answer:GIVE A BETTER DETAILED QUESTION sorry for caps

Step-by-step explanation:

Answer:

0.007 pounds a day

Step-by-step explanation:

if he loses 18.5 pounds in 4 weeks then each week has 7 days so you divide 18.5 by 7 four times. HOPE THIS HELPS :)

The expression that describe the end behavior of the expression f(x)= (3.25)^x + 6 is The curve begins infinitely close to the line y equals 6 in the second quadrant.

The behavior of the graph of a function at its "ends" on the x-axis is referred to as the end behavior of a function, f.

For example, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞), the end behavior of a function explains the trend of the graph.

The graph of the function is attached and from the graph it shows that the graph continued to tend towards towards line y = 6

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One of the two equations required in the system of equations needed to determine the dollar amount of phone and computer sales Houa made is y = x + 600.

Let x represents the dollar amount of phone sales Houa made, and y represents the dollar amount of computer sales she made.

Therefore, a system of equations that could be used to determine x and y can be written as follows:

y = x + 600 ........................................................... (1)

0.04x + 0.05y = 129 ......................................... (2)

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The set U can be rewritten by listing its elements as follows:

U = {..., -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, ...}

In this notation, the "..." symbol indicates that the set continues in both the negative and positive direction, and that all integers from negative infinity to positive infinity are included in the set. This notation is commonly used to represent sets of integers or other infinite sets in mathematics.

The surface area of the solid is 281 ft².

Given that, a solid figure made of a rectangular prism and a square pyramid,

We need to find its surface area,

To find the same, we will find the lateral surface area of square pyramid, and total surface area of rectangular prism,

So,

Surface area = 2×side×slant height + 2(length·width+width·height+height·length)-base area of the square pyramid,

= 2×5×5 + 2(4·12+12·5+4·5)-5²

= 50+256-25

= 281 ft²

Hence the surface area of the solid is 281 ft².

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Answer:

$2.50

Step-by-step explanation:

x/5 = 1/2

x is equal to 1 because it is half of the total and 1 is half of 2.

5 is equal to 2 because it is the whole amount and 2 is also the whole amount.

If you then solve for x by doing

5(1) = 5

5/2 = 2.5

You get 2.5 or $2.50.

Answer:

simple $2.50

Step-by-step explanation:

1 pound is $5 so half of that is $2.50

Answer:

$350

Step-by-step explanation:

1. Set up the equation. The sale price of $259 is 74% of the original price.

\(\frac{74}{100}\) = \(\frac{259}{x}\)

2. Cross multiply

74x = 25900

3. Solve

x = 350

Answer: 9x^2+41x+20

Step-by-step explanation:

c) Mode: 15 (appears 6 times)

Mean: 15.25

Median: 15

d) Probability of being 13 years old: 2/20 = 0.1 or 10%

e) Probability of being 14 or 16 years old: 6/20 = 0.3 or 30%

f) Probability of not having 15 years old: 1 - (6/20) = 14/20 = 0.7 or 70%

a) To create a table and calculate the absolute frequency, relative frequency, and percentual frequency, we organize the given ages in ascending order:

13 13 14 14 15 15 15 15 15 16 16 17 17 17 18 18

Age Absolute Frequency Relative Frequency Percentual Frequency

13 2 2/16 12.5%

14 2 2/16 12.5%

15 5 5/16 31.25%

16 2 2/16 12.5%

17 3 3/16 18.75%

18 2 2/16 12.5%

b) To represent the data graphically with a histogram, we plot the ages on the x-axis and the absolute frequency on the y-axis:

c) To calculate the mode, mean, and median:

Mode: The mode is the most frequently occurring age in the dataset. In this case, the mode is 15, as it appears 5 times.

Mean: The mean is the average of all the ages. To calculate it, we sum up all the ages and divide by the total number of ages:

(13 + 13 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 17 + 17 + 17 + 18 + 18) / 20 = 306 / 20 = 15.3

Median: The median is the middle value in the dataset when arranged in ascending order. In this case, the median is 15 since it falls in the middle.

d) To calculate the probability of having 13 years old, we divide the absolute frequency of 13 (2) by the total number of ages (20):

Probability of 13 years old = 2/20 = 0.1 or 10%

e) To calculate the probability of having 14 or 16 years old, we add the absolute frequencies of 14 and 16 (2 + 2 = 4) and divide by the total number of ages (20):

Probability of 14 or 16 years old = 4/20 = 0.2 or 20%

f) To calculate the probability of not having 15 years old, we subtract the absolute frequency of 15 (5) from the total number of ages (20):

Probability of not having 15 years old = (20 - 5)/20 = 0.75 or 75%

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Answer:

15+c=17.50 First you subtract 15 by 15 because you switch operations from adding to subtracting then you would put C under it Second subtract 17.50 and 15 and that is 2.50 so C= 2.50

i need help please What is the total number of drawSprites(); you can have in a program? *

Step-by-step explanation:

Answer:

bro u just made my brain explode lollllllllllllllllllllllllllllll

Answer: The answer should be or somewhere around 991.13700

Answer: C

Move the decimal in 3.1 over 4 times

Move the decimal in 2.0 over 6 times

Now it is 31,000 times 2,000,000 which equals 62,000,000,000. In scientific notation it is 6.2 times 10 to the tenth power

Answer:

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

Evaluate the expression in below steps:

Answer:

2 liters.

Step-by-step explanation:

These measurement units are part of the metric system. Unlike the U.S. customary system of measurement, the metric system is based on 10s. For example, a liter is 10 times larger than a deciliter, and a centigram is 10 times larger than a milligram.

Hope this helps!!<333

Answer:

a liter is 10 times larger than a deciliter, so yes, it is more.

Answer:

slope = 4

The line is increasing

Step-by-step explanation:

slope can be found through the equation \(\frac{y_{2} -y_{1}}{x_{2}-x_{1}}\). So, if we plug these points in, we get \(\frac{7-3}{8-7}\), which simplifies to 4. So, the slope is 4.

Since the slope is positive, the line is increasing.

Answer:

The volume will be 64 times larger.

Explanation:

When you multiply two single dimensions, such as length and width, the units will change from units to units squared (example: 2 ft * 2 ft = 4 ft^2). Similarly, When you multiply three single dimensions the units will change from units to units cubed (example: 2 ft * 2 ft * 2 ft = 8 ft^3). You can use the exponents as a trick to solve this type of question. For example, in this case, volume means that you are multiplying three single dimensions. Therefore, the end result will be units cubed. If each dimension is multiplied by four, you can cube the factor to find how many times larger the volume will be: 4^3 = 64.

TLDR: Since there are three dimensions, multiply 4 by itself three times to get the answer: 4 * 4 * 4 = 64.

In case I explained it badly, here is a more mathematical method to find the answer:

The formula for volume:

V = l * w * h

When you multiply each dimension by 4:

V = (4 * l) * (4 * w) * (4 * h)

Rearrange with the Commutative Property of Multiplication:

V = (4 * 4 * 4) * (l * w * h)

Simplify:

V = 64 * l * w * h

Therefore, the volume is 64 times greater.

In the given scenario slope is increasing and the value of increasing slope is 2.

Slope may be defined as the extent of steepness of a curve in a graph in the given question x is given by miles driven in the cab and y represents the cost. y is the dependent variable and x in independent because the cost depends on the amount of miles driven. Here, in the question as the miles driven by the car increases the cost also increases. This proves that if the data is plotted on graph, it will give an increasing slope.

The value of slope can be determined by

Slope = (10.0 - 7.50)/(2.50 - 1.25)

Slope = 2.5/1.25

Slope = 2

This also gives a positive value. Thus, the slope is increasing.

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Answer:

What is the gravitational force acting on a 70.0 kg object standing on the Earth’s surface?

Step-by-step explanation:

The gravitational force acting on a 70.0 kg object standing on the Earth’s surface can be calculated using the formula:

F = G * (m1 * m2) / r^2

Where:

F = gravitational force

G = gravitational constant (6.6743 x 10^-11 N*m^2/kg^2)

m1 = mass of the first object (in this case, the mass of the Earth)

m2 = mass of the second object (in this case, the mass of the object, 70.0 kg)

r = distance between the centers of the two objects (in this case, the radius of the Earth, which is approximately 6,371 km)

Using the values above, we can calculate the gravitational force as follows:

F = (6.6743 x 10^-11 N*m^2/kg^2) * (5.97 x 10^24 kg * 70.0 kg) / (6,371,000 m)^2

F = 686.6 N

Therefore, the gravitational force acting on a 70.0 kg object standing on the Earth’s surface is approximately 686.6 N.

The length of cable in the coil that weighs 5 1/2 kilograms is 1/2 meter.

Let x be the length of cable in meters that weighs 5 1/2 kilograms.

Then, we can write:

1 meter / (75/1000) kilograms = x meters / 5.5 kilograms

Simplifying the left side, we get:

1 meter / (75/1000) kilograms = 1000 / 75 meters/kilogram

= 40/3 meters/kilogram

Substituting this into our proportion, we get:

40/3 meters/kilogram * x meters = 5.5 kilograms

Multiplying both sides by 3/40, we get:

x meters = (5.5 kilograms) * (3/40) * (40/3 meters/kilogram)

               = 1/2 meter

The length is 1/2 meter

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Answer:

I believe that it is (2,4)

Step-by-step explanation:

f(2) would be your y

4 would be your x

to write a point on a graph you wright (x,y)

(2,4)

The correct representation of function f(2) = 4 in coordinate form (x,y) is (2,4)

What is Mathematical function ?

Function is defined as the expression or relation between any given two variables such as x and y and there must be an independent variable and dependent variable.

In other words the function represents the graph between x and y that is for each value of x there exist one value of y but here there is no restriction in values of y that is y can have infinity values.

Here, the given function is f(2)=4

which implies that the independent variable is x=2 which gives the value after substituting in the function gives value y=4.

Therefore,The correct representation of function f(2) = 4 in coordinate form (x,y) is (2,4)

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Answer:

b = 0.6 ft

Step-by-step explanation:

area = 3/25

area = 1/2bh

3/25 = 1/2b(2/5)

1/2b = (3/25)/(2/5) = 15/50 = 3/10 or 0.3

b = 2(0.3) = 0.6 ft

The length of the base as a fraction in the simplest form is 3/5 feet.

Every three-sided polygon having three edges and three vertices is referred to as a triangle in geometry. The most important attribute of a triangle is that its interior angles sum to 180 degrees. This characteristic is known as the triangle's angle sum property. Every triangle has a length, base and height.

As per the given data:

Area of the triangle (A) = (3/25) sq feet

Height of the triangle (h) = (2/5) feet

A = (1/2) × base × height

(3/25) = (1/2) × base × (2/5)

base = (3 × 2 × 5)/(25 × 2)

base = 15/25

base = 3/5 feet

Hence, the length of the base as a fraction in the simplest form is 3/5 feet.

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