Mona is purchasing a shirt. the total cost, c, of the shirt will be the price of the shirt, p, increased by 6% of the price of the shirt for sales tax. write an equation that represents the total cost of the shirt?

Answer:

true

Step-by-step explanation:

3.5*2.5-6=2.75

2+0.75= 2.75

It is proven true.

Answer: The blue dot is -2.1

As per the given measurement, the scale drawing of the barn is attached below.

The term scale drawing is defined as a real object with accurate sizes reduced or enlarged by a certain amount.

Here we have given that a  barn is 40 feet wide by 100 feet long.

Here we have given in the question that if you draw a line that is 1/2 an inch on paper its proportional to 10 feet long on the house.

Which means that 1 inch would be 20, then 1.5 would be 30 feet, and then 2 inches would be 40.

Here we have given the proportion would be written as,

=> 2 in: 40 ft

As we know that if we make the ratios equal, then we have,

=> 1/20 = x/40

When we simplify this then we get the value of x as 2

Similarly, for the another one,

=> 1/20 = x/100

Now, we have to multiply both sides by 100:

=> 100/20 = x

Therefore, the value of x is 5.

Hence the scale drawing of the house would be 2 inches wide and 5 inches long.

And the drawing is attached below.

To know more about Scale drawing here.

https://brainly.com/question/17388747

#SPJ4

The graph that shows a unit rate of 3/4, which is the time Cindy reads while riding in the car is the graph attached below.

Unit rate can be described as a constant or exactly how much of one quantity is per 1 unit of another quantity.

Unite rate (k) = x/y.

In the graph attached below, when x (hours driving) = 3, y (hours reading) = 4.

Therefore, unit rate = 3/4. We can then conclude that the graph that shows that Cindy reads 3/4 of the time she rides in a car is the graph attached below.

Learn more about unit rate on:

https://brainly.com/question/19493296

#SPJ1

Answer: x = 2, y = 0

Step-by-step explanation:

11y = 0

y = 0

6x + 6(0) = 12

6x = 12

x = 2

To find the probability of Sarah cleaning her room or doing her homework, we can use the addition rule for probabilities. However, we need to be careful not to count the probability of Sarah cleaning her room and doing her homework twice. Therefore, we need to subtract the probability of Sarah cleaning her room and doing her homework from the sum of the probabilities of Sarah cleaning her room and doing her homework separately.

Let C be the event that Sarah cleans her room, and let H be the event that Sarah does her homework. Then we know:

P(C) = 0.40 (the probability that Sarah cleans her room)

P(H) = 0.70 (the probability that Sarah does her homework)

P(C and H) = 0.24 (the probability that Sarah cleans her room and does her homework)

Using the addition rule, we can find the probability of Sarah cleaning her room or doing her homework as follows:

P(C or H) = P(C) + P(H) - P(C and H)

          = 0.40 + 0.70 - 0.24

          = 0.86

Therefore, the probability of Sarah cleaning her room or doing her homework is 0.86, or 86%.

To know more about probability , refer here :

https://brainly.com/question/30034780#

#SPJ11

The value of logm 4/m is 1.139 - 2 logm m. This means that we can express logm 4/m in terms of other logarithmic values without finding the exact value of m.

Given that logm 3 = 0.903, logm 4 = 1.139, and logm 7 = 1.599. We are to find logm 4/m.

Using the properties of logarithm, we have,

logm 4/m = logm 4 - logm m

               =1.139 - logm m               .....................................(1)

Again, using the properties of logarithm, we know that:

logm 4 = logm (2 × 2)  

        = logm 2 + logm 2

         = 1.139 = 2logm 2                    ..................................(2)

Substituting equation (2) into (1) gives:

logm 4/m = 2logm 2 - logm

           m = 2logm (2/m)          ..................................................(3)

Using the property of logarithm once again, we know that:

loga b = logc b / logc a                     ............................................(4)

Substituting equation (4) into equation (3), we have:

logm 4/m = 2 logm 2 - logm

m= logm [(2/m)² / m]                       .............................................(5)

Now, we are to find logm 4/m by substituting the given values.

Using equation (2), we have:

logm 2 = (1.139)/2

     = 0.5695

Using equation (5), we get:

logm 4/m = logm [(2/m)² / m]

logm 4/m = logm [4/m²m]

 logm 4/m = logm 4 - logm

logm 4/m = 1.139 - 2 logm m

Therefore, by using the properties of logarithm, we have found that logm 4/m = 1.139 - 2 logm m. This means that we can express logm 4/m in terms of other logarithmic values without finding the exact value of m.

To know more about the logarithmic values, visit:

brainly.com/question/29131050

#SPJ11

To estimate the mean credit card balance owed by a bank's customers with a 98% confidence interval and a margin of error of $85, we need to determine the sample size. We can use the following formula for sample size calculation:

n = (Z^2 * σ^2) / E^2

Here, n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the margin of error.

For a 98% confidence interval, the Z-score is approximately 2.33 (you can find this value in a Z-score table). The population standard deviation (σ) is given as $300, and the desired margin of error (E) is $85.

Now, plug in these values into the formula:

n = (2.33^2 * 300^2) / 85^2
n ≈ (5.4289 * 90,000) / 7225
n ≈ 675,561 / 7225
n ≈ 93.48

Since we can't have a fraction of a customer, we should round up to the nearest whole number. Therefore, the bank should sample approximately 94 customers to achieve a 98% confidence interval with a margin of error of $85.

To learn more about margin of error : brainly.com/question/29419047

#SPJ11

a)  The direction in which you should walk to descend fastest is: (-12, -16)

b) The slope of your path is: -88

c) The direction of the greatest increase in temperature at the point (−2, 2) is: (-4, 4)

The maximum rate of change is: 4√2

d) The direction of the greatest decrease is: (4, -4).

The most negative rate of change is: 4√2

(a) The equation on the surface is:

z = 15 - (3x² + 2y²)

The gradient of this surface will be the partial derivatives of the equation. Thus:

Gradient of the surface z:

∇z = (-6x, -4y)

Since you are standing above the point (2,4), then the direction to descend fastest is:

∇z(2,4) = (-6(2), -4(4))

∇z(2,4) = (-12, -16)

That gives us the direction to descend fastest is in the direction.

(b) If you start to move in the direction (-12, -16) above, then slope of your path (rate of descent) is given by the dot product expressed as:

Slope = ∇z(2,4) · (-12, -16)

= (2)(-12) + (4)(-16)

= -24 - 64

= -88

(c) We want to find the direction of the greatest increase in temperature at the point (−2,2).

Thus, the gradient of T(x,y) is given by:

∇T = (2x, 2y).

The direction is:

∇T(-2, 2) = (2(-2), 2(2))

∇T(-2,2) = (-4, 4)

The maximum rate of change is:

∇T(-2,2) = √((-4)² + 4²)

= √(16 + 16)

= √(32)

= 4√2

(d) The direction of the greatest decrease is:

(-∇T(-2, 2)) = (-(-4), -4)

= (4, -4).

The most negative rate of change is:

∇T(-2, 2) = √(4² + (-4)²)

= √(16 + 16)

= √(32)

= 4√2

Read more about Directional Derivatives at: https://brainly.com/question/30048535

#SPJ4

Answer:

2X+100 =8X+208

8X-2X=100-208

6X=-108

X=-18

8X+208=(8×-18)+208

=-144+208

=64

ANGLE 3=180-64

=116

Answer: The measurement of angle #3 on the photo you provided it would be a 300 Degree angle if that is what you're asking

Step-by-step explanation: If you're asking what measure of an angle #3 is the correct measurement is 300 Degrees

The samples of size n = 2 that can be drawn from this population is 28

From the question, we have the following parameters that can be used in our computation:

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

Read more about sample size at

https://brainly.com/question/17203075

#SPJ1

Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

Answer:

£8896

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2.8%/100 = 0.028 per year,

then, solving our equation

I = 8000 × 0.028 × 4 = 896

I = £ 896.00

The simple interest accumulated

on a principal of £ 8,000.00

at a rate of 2.8% per year

for 4 years is £ 896.00.

Answer:

f(x) = -2x-15

Step-by-step explanation:

f(x) = -2(x+5)-5 = -2x-15

Answer:

JN = 10 in

Step-by-step explanation:

the volume (V) of a triangular prism is calculated as

V = Ah ( A is the area of the triangular base and h the height )

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

here b = JL = 7 , h = KM = 6 , then

A = \(\frac{1}{2}\) × 7 × 6 = \(\frac{1}{2}\) × 42 = 21 in²

given V = 210 with h = JN , then

21 JN = 210 ( divide both sides by 21 )

JN = 10 in

The possible angles between two unit vectors u and v if ||u x v|| = 1/2 are either 30 degrees or 150 degrees.

The magnitude of the cross product between two vectors u and v is equal to the area of the parallelogram formed by the two vectors. Since the magnitude of the cross product is ||u x v|| = 1/2, it means that the area of the parallelogram formed by u and v is 1/2.

The area of a parallelogram is given by the formula A = ||u|| ||v|| sin(theta), where theta is the angle between the two vectors. Since both u and v are unit vectors, their magnitudes are 1. Thus, we can simplify the formula to A = sin(theta)/2.

Therefore, sin(theta) = 1, which implies that theta is either 30 degrees or 150 degrees. So the possible angles between u and v are either 30 degrees or 150 degrees.

To know more about unit vectors click on below link:

https://brainly.com/question/25544738#

#SPJ11

Answer:

is 34 degrees

Step-by-step explanation:

to find inscribed angle subtract

100-32=68

68÷2=34

Answer:

Area of trapezoid = 19.84 in^2

Step-by-step explanation:

Area of trapezoid = (b1+b2)/2 * Height

to find the height we have to use  the Pythagorean formula for the left triangle

\(X^2 + Y^2 = Hypotenuse^2\)

we sub the values in the formula

\(3^2 = Y^2 + 4^2\)

Y = \(\sqrt{7}\)  which the height of the triangle

now we sub the values in the trapezoid formula

Area of trapezoid = (5+10)/2 *    sqrt{7}

Area of trapezoid = 19.84 in^2

First, we need to multiply the whole number (5) by the denominator (4), and then we need to add the numerator (3). That is, 5*4 + 3 = 23. So, the new numerator becomes 23.

The denominator remains the same. So, the improper fraction becomes (4 * 23 + 6)/4 = 98/4

Now that we have the improper fraction, we can differentiate it using the power rule of differentiation.

h(t) = 98/4, h'(t)

= d(h(t))/dt

= d(98/4)/dt

Let's differentiate the above function, d(98/4)/dt using the power rule of differentiation.

Power rule of differentiation: d/dx(x^n) = n x^(n-1)d(98/4)/dt

= 0 - 4(98)/(4)^2

= -98/16

h'(t) = -49/8

Therefore, the value of h'(t) = -49/8.

To know more about fraction visit :-

https://brainly.com/question/78672

#SPJ11

Part A:

the cost of the fabric is 29.07

Part B:

Rounding to the nearest cent, the cost of the fabric is $29.07.

we need to calculate the area of the front of the bulletin board and then multiply it by the cost per square foot in order to find the cost of the fabric.

The area of a circle with radius 2.5 feet is:

A = πr^2

A = 3.14 x 2.5^2

A = 19.625 square feet

So, the cost of the fabric is:

Cost = area x cost per square foot

Cost = 19.625 x 1.48

Cost = 29.07

Rounding to the nearest cent, the cost of the fabric is $29.07.

Learn more about area of a circle at: https://brainly.com/question/12374325

#SPJ1

We are asked to simply the following polynomial

Let us find the product of the above polynomial and simplify it

Therefore, the simplified polynomial is

The degree of a polynomial is the highest exponent (power)

For the given case, the highest exponent is 2

Therefore, the degree

Answer:

C) Both

Step-by-step explanation:

The given equation is:

\(0=(3x+2)(x-4)\)

To solve the given equation, we can use the Zero Product Property according to which if the product A.B = 0, then either A = 0 OR B = 0.

Using this property:

\((3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}\)

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply \((3x+2)(x-4)\) i.e. \(3x^2-12x+2x-8\) = \(3x^2-10x-8\)

So, the equation becomes:

\(0=3x^2-10x-8\)

Comparing this equation to standard quadratic equation:

\(ax^2+bx+c=0\)

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

\(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)

\(x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}\)

The answer is same from both the approaches.

So, the correct answer is:

C) Both

Answer:

Both

Step-by-step explanation:

Answer:

52mm

Step-by-step explanation:

(4x3)2+(4x4)+4x3= 52mm

triangle sides+square sides+bottom square side= answer

Hope this helps :)

Part a:

The value of the gradient G for the royalty stream is $5,143.

To find the value of the gradient G, we need to calculate the present worth of the 7-year royalty stream. The present worth represents the equivalent value of all future cash flows discounted to the present time using an interest rate of 9% per year.

Let's denote the value of the gradient G as G. The royalty stream begins at the end of the first year with a payment of $12,000. From year 2 to year 7, the royalty stream changes by G each year. Therefore, the cash flows for each year are as follows:

Year 1: $12,000

Year 2: $12,000 + G

Year 3: $12,000 + 2G

Year 4: $12,000 + 3G

Year 5: $12,000 + 4G

Year 6: $12,000 + 5G

Year 7: $12,000 + 6G

To calculate the present worth, we need to discount each cash flow to the present time. Using the TVM (Time Value of Money) factor table or calculator, we can find the discount factors for each year based on the interest rate of 9% per year.

Calculating the present worth of each cash flow and summing them up, we find that the present worth of the 7-year royalty stream is $45,000. Therefore, we can set up the following equation:

$45,000 = $12,000/(1+0.09)^1 + ($12,000+G)/(1+0.09)^2 + ($12,000+2G)/(1+0.09)^3 + ($12,000+3G)/(1+0.09)^4 + ($12,000+4G)/(1+0.09)^5 + ($12,000+5G)/(1+0.09)^6 + ($12,000+6G)/(1+0.09)^7

Solving this equation will give us the value of the gradient G, which is approximately $5,143.

Part b:

The value of the gradient G for the royalty stream, given a future worth at the end of year 7 of $130,000, cannot be determined based on the information provided.

Learn more about gradient here:

brainly.com/question/25846183

#SPJ11

Step-by-step explanation:

These points are called   x -axis intercepts ( x-intercept for short), roots of the quadratic, zeroes ( because y = 0 at these points)  

   sometimes they are called solutions or answers if the quadratic

     is written   ax^2 + bx + c = 0

Answer:

You can probably call them roots or zeroes or solutions or x intercepts

Step-by-step explanation:

When a Quadratic Equation cuts / crosses the x-axis , the points why they are cut represent the roots or solutions .

Answer:

w= 25 and 20

25=5+20

Step-by-step explanation:

You replace the variable w for 20 which is 20 + 5 = 25

Answer:

x = ± 3\(\sqrt{5}\)

Step-by-step explanation:

x² = 45 ( take the square root of both sides )

x = ± \(\sqrt{45}\) = ± \(\sqrt{9(5)}\) = ± 3\(\sqrt{5}\)

Answer:

System of equations:

L = 5W + 7

2W + 2L = P

L = 62 cm

W = 11 cm

Step-by-step explanation:

Given the measurements and key words/phrases in the problem, we can set up two different equations that can be used to find both variables, length and width, of the rectangle.  

The formula for perimeter of a rectangle is:  2W + 2L = P, where W = width and L = length.  We also know that the L is '7 more than five times its width'.  This can be written as:  L = 5W + 7.  Using this expression for the value of 'L', we can use the formula for perimeter and solve for width:

2W + 2(5W + 7) = 146

Distribute:  2W + 10W + 14 = 146

Combine like terms:  12W + 14 = 146

Subtract 14 from both sides:  12W + 14 - 14 = 146 - 14 or 12W = 132

Divide 12 by both sides:  12W/12 = 132/12 or W = 11

Put '11' in for W in the equation for 'L':  L = 5(11) + 7 or L = 55 + 7 = 62.

Answer:  2144

Step-by-step explanation:

v = 4/3pir³

v = 4/3 (3.14) (8)³

v = 4/3 (3.14)(512)

v ≈ 2144

Answer:

2,143.57 cubit units.

Step-by-step explanation:

To find the volume of the sphere, use the formula given below.

Volume = 4/3π r³

Use this formula, the value given for the radius, and 3.14 for  to find the volume.

Volume = 4/3π r³

             ~~ 4/3 (3.14) (8 units)³

             ~~ 2,143.57 cubic units

Therefore, the approximate volume of the sphere is 2,143.57 cubic units.