Teresa is a software saleswoman. let y represent her total pay (in dollars). let z represent the number of copies of math is fire she sells. suppose c and y are related by the equation y = 90x+1500

Answer: C. 00:00 $927; Vince wrote the wrong number to represent the interest rate.

Step-by-step explanation:

Given that:

Amount borrowed (p) = 900

Simple interest (r) = 1.5% = 0.015

Time (t) = 2 years

Amount he'll pay back (A) :

A = P(1 + rt)

A = 900(1 + 0.015(2))

A = 900(1 + 0.03)

A = 900(1.03)

A = $927

Answer:  \(2x^3-2x^2-13x+3\)

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

Work Shown:

I'm assuming you meant to say \((x - 3)(2x^2 + 4x - 1)\)

Let \(y = x-3\)

So,

\((x - 3)(2x^2 + 4x - 1)\\\\y(2x^2 + 4x - 1)\\\\y2x^2 + y4x - y\\\\2x^2(y) + 4x(y) - (y)\\\\2x^2(x-3) + 4x(x-3) - (x-3)\\\\2x^3-6x^2 + 4x^2-12x - x+3\\\\2x^3-2x^2-13x+3\\\\\)

The basic idea is to use the distribution rule (line 3 and line 6) and then combine like terms.

Permutation: A permutation is an act of arranging objects or numbers in order.

P(n, r) = (n−r)!/n!

​Combination: Combinations are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.
C(n,r)=( n/ r )= n! / r!(n−r)!

with n!=n⋅(n−1)⋅...⋅2⋅1.

We want to select 4 of the 11 pizzas to be in the top 4.

n = 11

r = 4

The order of the pizzas matters, because a different order results in different rankings within the top 5, and thus we should use the definition of permutation.

P(11 , 4) = 11! / (11-4)!

P(11 , 4) = 11! / 7! = 7920

Thus there are 7920 different possible rankings.

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Step-by-step explanation:

what do we need to do ?

just calculate the value of the expression by using the given values for the variables ?

what's the problem ? this is just basic calculation.

8/4 + 7×9 = 2 + 63 = 65

remember (please, for your life !) that multiplication and division always happens before any addition or subtraction (except for the case, where brackets force us in a different direction).

Answer:

x/2 = 19-11

x/2 = 8

x = 8×2

x= 16

Answer:

x=16

Step-by-step explanation:

x/2 + 11 = 19

*2     *2    *2    Multiply 2 on both sides to make x stand by itself

x+22 = 38

  -22   -22

x=16

Check

Plug in 16 instead of x.

16/2 + 11 = 19

8+11=19

19=19

Hope it helps:)

The dimensions of the worksheet are 15 inches by 9 inches.

According to the question a worksheet has a perimeter of 48 inches and an area of 135 square inches. The dimensions of the worksheet are to be found.To find the dimensions of the worksheet we have to follow the steps given below:

Step 1: Let’s assume the dimensions of the worksheet are L and B.

Step 2: Calculate the perimeter of the worksheet which is the sum of all the sides of the worksheet.Perimeter of a worksheet= 2(L + B) = 48 inches⇒ L + B = 24

Step 3: Calculate the area of the worksheet which is the product of the length and breadth of the worksheet.Area of the worksheet = L × B = 135 square inches.

Step 4: Find the values of L and B by solving the equations L + B = 24 and L × B = 135 by substitution.The value of B can be found by substituting L = 24 - B. in the second equation.L × B = 135(24 - B) × B = 13524B - B² = 135B² - 24B + 135 = 0B = (24 ± √(24² - 4 × 135)) / 2 = 9 or 15(As the dimensions can’t be negative, we choose B = 9)When B = 9L = 24 - 9 = 15.

Thus, the dimensions of the worksheet are L = 15 inches and B = 9 inches.In other words, the dimensions of the worksheet are 15 inches by 9 inches.

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Based on the monthly data on the price of bitcoin, the average monthly growth rate can be calculated by taking the difference in price from the previous month and dividing it by the previous month's price. Using the average monthly growth rate, you can estimate the future value of your $1,000 Bitcoin investment.

Once this is done for each month, the resulting growth rates can be averaged to find the average monthly growth rate. As for the standard deviation of the monthly growth observations, this can be calculated using a statistical software or a calculator that has the capability to perform statistical calculations. Without the actual data, it is not possible to provide an exact answer to the question. However, it is important to note that investing in bitcoin can be volatile and unpredictable, so it is important to do thorough research and understand the potential risks before making any investment decisions. To estimate the average monthly growth rate and standard deviation of your Bitcoin investment, follow these steps:
1. Compile the monthly price data for Bitcoin.
2. Calculate the monthly growth rate for each month by using the formula: (Current Month Price - Previous Month Price) / Previous Month Price.
3. Add up all the monthly growth rates and divide the sum by the number of months in your data sample. This will give you the average monthly growth rate for Bitcoin.
4. To calculate the standard deviation, first find the variance. Subtract the average monthly growth rate from each individual growth rate, square the result, and find the average of these squared differences.
5. Finally, take the square root of the variance to get the standard deviation.

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Answer:

-6, -6

Step-by-step explanation:

Given :

Solving :

The zeros are : -6, -6

Answer:i tried

Step-by-step explanation:

Answer:

The slope is 3/2

Step-by-step explanation:

To find slope you do rise over run

Rise being how much you go up or go down

Run being how much you move sideways

Always measure Rise first, it is the numerator and then Run as the denominator.

Answer:

m= 3/2.

Step-by-step explanation:

To find the slope, use the two points shown in the graph which as (-1, 2) and (1, 5). Plug these into the slope formula \((m= \frac{y_{2}-y_{1} }{x_{2}-x_{1}} )\)

\(m= \frac{5-2 }{{1+1}}\)

\(m= \frac{3}{2}\)

Therefore, the slope of the graph is 3/2.

6% of $14.00=$0.84 so the total cost of shorts=$14.84

6% of $25.00=$1.50 so the total cost for soccer ball=$26.50

6% of $10.00=$0.60 so the total cost of shin guards=$10.60

$60.00+$104.94+$109.94+$115.54+$120.54=$510.96

36% of $510.96=$183.95 so the total cost of cleats=$694.91

694.91+$10.60+$26.50+$14.84=$746.85

$746.85+$5=$751.85

Answer:

its option d $120.54

Step-by-step explanation:

ALSOOOO a braddison shipper :)

the correct answer is a so write it

A mathematical description of hexagon is given above.

In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

The bounded plane region, the bounding circuit, or the two together, may be called a polygon.

The segments of a polygonal circuit are called its edges or sides.

Given is hexagon.

In geometry, a hexagon is a six-sided polygon creating the outline of a cube. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.

A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle).

Therefore, a mathematical description of hexagon is given above.

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If you buy the device, you will save a total of $303,840 in labor costs. The value of the device is approximately $276699.38. The price you should pay for the note compounded monthly is approximately $70660.52.

28. To calculate the total amount of labor costs you will save, we need to determine the savings per year and then multiply it by the number of years the device will last.

The device saves you $2,110 per month in labor costs, so the annual savings would be $2,110 multiplied by 12 months, which is $25,320.

Now, we multiply the annual savings by the number of years the device will last. In this case, the device will last 12 years, so the total labor costs you will save would be $25,320 multiplied by 12, which equals $303,840.

Therefore, if you buy the device, you will save a total of $303,840 in labor costs.

29. Having the answer to Problem 28 helps you determine the total amount of labor costs you will save over the 12-year lifespan of the device. However, it does not provide enough information to decide whether you should buy the device or not. Other factors, such as the initial cost of the device, maintenance costs, potential revenue increase, and the opportunity cost of investing the money elsewhere, should also be considered before making a decision.

30. To calculate the value of the device, we need to find the present value of the future savings. Since we need to earn 7.8% compounded monthly on our money, we can use the present value formula:

Present Value = Future Value / (1 + r)^n

Where:
- Future Value is the total labor costs you will save ($303,840)
- r is the interest rate per period (7.8% divided by 12 months, which is 0.065%)
- n is the number of periods (12 years multiplied by 12 months, which is 144 periods)

Plugging in the values, we get:
Present Value = $303,840 / (1 + 0.065%)^144

Calculating this, we find that the value of the device is approximately $276699.38.

31. Whether you should buy the device or not depends on factors other than just the value of the device. Consider the initial cost of the device ($267,000), the value calculated in Problem 30 ($276699.38), and other relevant factors such as maintenance costs and potential revenue increase. Compare these costs and benefits to determine if the purchase is financially feasible and beneficial for your business in the long run.

32. To calculate the total amount you will receive from the promissory note, multiply the monthly payment by the number of payments. In this case, the monthly payment is $880, and the number of payments is 85 months.

So, the total amount you will receive from the promissory note would be $880 multiplied by 85, which equals $74,800.

33. To determine the price you should pay for the note if you want to earn 8% compounded monthly, we need to calculate the present value of the future payments using the present value formula:

Present Value = Future Value / (1 + r)^n

Where:
- Future Value is the total amount you will receive ($74,800)
- r is the interest rate per period (8% divided by 12 months, which is 0.067%)
- n is the number of periods (85 months)

Plugging in the values, we get:
Present Value = $74,800 / (1 + 0.067%)^85

Calculating this, we find that the price you should pay for the note is approximately $70660.52.

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The value of the expression is 4.

The code :

int a[4] = {1, 2, 3, 4};

int *p = a;

what is *(p + 3)?

The variable a is an array of integers, and the variable p is a pointer to the first element of the array.

The expression *(p + 3) is the value of the element of the array that is 3 elements after the element that p points to.

Since p points to the first element of the array, the expression *(p + 3) is the value of the fourth element of the array, which is 4.

Therefore, the value of the expression is 4.

Here is a breakdown of the code:

int a[4] = {1, 2, 3, 4}: This line declares an array of integers called a and initializes it with the values 1, 2, 3, and 4.

int *p = a; This line declares a pointer to an integer called p and initializes it with the address of the first element of the array a.

what is *(p + 3)?: This line asks what the value of the expression *(p + 3) is.

The expression *(p + 3) is the value of the element of the array that is 3 elements after the element that p points to.

Since p points to the first element of the array, the expression *(p + 3) is the value of the fourth element of the array, which is 4.

Therefore, the value of the expression is 4.

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Correct Question :

Int a[4]={1,2,3,4}, int *p=a. What is the value of *(p+3)?

An equation that describes the graph is \(y=-x^{2} +1\)

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

"It is a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. "

For given question,

The graph describes the parabola.

The parabola opens downward, so the equation of the parabola would be,

\(y=-x^{2}\)

We know that, for a function f(x) is transformed to f(x) + c if c > 0 then the graph of the function moves up by c units.

if c < 0 then the graph of the function moves down by c units.

As the graph of the parabola moves down by 1 unit, the equation of the parabola would be,

\(y=-x^2+1\)

Therefore, the equation that describes the graph is \(y=-x^{2} +1\)

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The absolute maximum value of f(x)=2x³ +3x² +1 on the closed interval [-3, 1] is 6, which occurs at x=1.

To find the absolute maximum value of the function f(x) on the closed interval [-3, 1], we need to evaluate the function at the endpoints of the interval and at any critical points in the interior of the interval.

First, we evaluate the function at the endpoints of the interval

f(-3) = 2(-3)³ + 3(-3)² + 1 = -17

f(1) = 2(1)³ + 3(1)² + 1 = 6

Next, we find the critical points of the function f(x) by taking its derivative and setting it equal to zero

f'(x) = 6x² + 6x

6x(x+1) = 0

x = 0 or x = -1

Now we evaluate the function at these critical points

f(0) = 1

f(-1) = 2(-1)³ + 3(-1)² + 1 = 2

Therefore, the absolute maximum value of f(x) on the closed interval [-3, 1] is 6, which occurs at x=1.

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The given question is incomplete, the complete question is:

Let f be the function given by f(x)=2x³ +3x² +1. What is the absolute maximum value of f on the closed interval [-3,1] ?

Answer:

Step-by-step explanation:

(3-7)/(-2+1)= -4/-1= 4

y - 7 = 4(x + 1)

y - 7 = 4x + 4

y = 4x + 11

Answer:

5/12

Step-by-step explanation:

Answer:

About 100 times faster

=1 x 10²

Step-by-step explanation:

Estimate using a single digit times a power of 10.

We approximate to the nearest whole number

A healthy human heart beats about 1,533,000 times in a year.

= 1.533 × 10⁶

As a single digit = 2.0 × 10⁶

A sparrow's heart beats about

241,776,000 times in a year.

= 2.41776 × 10⁸

As a single digit = 2 × 10⁸

About how many times faster does the sparrow's heart beat compared to the human heart?

We find the difference in their powers of 10

= ( 10^8 - 6)

= 10²

This means the sparrows heart beats at about

1 × 10² or a 100 times faster

Answer:

Step-by-step explanation:

total number of marbles=5+15+5=25

number of green marbles=5

P(two green balls drawn)

\(=\frac{5}{25} \times\frac{4}{24} =\frac{1}{30} \\\)

Answer:

c. 3  

yes you are right, good job!!

Step-by-step explanation:

18 divided by what equals 2?

18 / 2 = 9 so 18 / 9 = 2

so 27 / 9 = y which y = 3

check: 9 x 3 = 27

Answer:

Yes, C

Step-by-step explanation:

18/2 = 9 so you need to divide 27 by 9 to get 3

There is a non zero probability of the particle in the state of finite potential .

It is an extension of the infinite potential well, in which a particle is confined to a "box", but one which has finite potential "walls". Unlike the infinite potential well, there is a probability associated with the particle being found outside the box. The quantum mechanical interpretation is unlike the classical interpretation, where if the total energy of the particle is less than the potential energy barrier of the walls it cannot be found outside the box. In the quantum interpretation, there is a non-zero probability of the particle being outside the box even when the energy of the particle is less than the potential energy barrier of the walls (cf quantum tunnelling).

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Answer:

5750

Step-by-step explanation:

add the 3 populations together, divide by the number of populations (3)

The standard deviation of the given data set, {12, 12, 12, 12, 12, 12, 12}, is zero. This is because the deviation of every value from the mean is zero. Therefore, the standard deviation of the given data set is zero.

In statistics, the standard deviation (SD) is a measure of how much the data is spread out from the mean, or how much the data deviates from the average value. It is calculated by finding the square root of the variance.Variance (σ2) is a measurement of the degree to which a set of data deviates from the mean. In other words, variance is a measure of how much the data is spread out. It is defined as the average of the squared differences from the mean.The formula for calculating the variance is

:σ2 = Σ(x - μ)2/N

where Σ represents the sum, x is the value of the observation,

μ is the mean of the observations, and

N is the total number of observations.

The standard deviation formula is the square root of the variance.

Therefore,σ = √σ2 = √Σ(x - μ)2/N

The given data set is {12, 12, 12, 12, 12, 12, 12}.

The mean of this data set is:(12+12+12+12+12+12+12) / 7 = 12

The deviation of every value from the mean is zero. Therefore, the variance of the given data set is zero. The standard deviation formula is the square root of the variance. Therefore, the standard deviation of the given data set is zero.

The standard deviation of the given data set, {12, 12, 12, 12, 12, 12, 12}, is zero.

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9

If x/2 = 4.5 then 4.5×2 will get you your answer, 9

Answer: x=9

Step-by-step explanation:

Let's take our equation

\(\frac{x}{2} =4.5\)

Now we need to cancel our the 2

so we need to multiply by 2 on each side of the equation

\((2)\frac{x}{2} =4.5(2)\\x=9\)