Warren earns $21.75 per hour and worked 36.5 hours last week and 32 hours the
week before. What is Warren's gross pay for the two weeks? Show your work.

An exponential decay function that shows the relationship between y and t is y = 16,000 (0.74)^t.

An exponential decay function is one of the two types of exponential functions, including an exponential growth function.

Exponential functions are depicted as y = abˣ, where "a" is a constant, b is the base and x is the variable exponent.

The purchase value of a car = $16,000

Annual decreasing rate in value = 26%

Decayed value after 1 year = 0.74 (1 - 26%)

Let the number of years after the purchase = t

Let the resale value of the car after t years = y

Resale value after t years, y = 16,000 x (1.074)^t

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The transformations and the order are a shift of 8 units left and 5 units up

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

f(x) = (x - 8)^2 + 5

The parent function is given as

y = x^2

When these functions are compared, we  have

y = x^2 is shifted right by 8 units and shifted up by 5 units to get f(x)

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(x^2 - 7x - 18)/(x + 2) = x - 9 can be simplified by multiplying both sides of the equation of x + 2. The new equation is x^2 - 7x - 18 = x^2 - 7x - 18. Therefore the equation's solution is all real numbers.

Answer:

Step-by-step explanation: n The graph is of an absolute value function. Step-by-step explanation: For x ≥ 0, the graph is given by. ⇒ x + 2y = 6. ⇒. ⇒ ........ (1).

Missing: 50 ‎32 ‎2₁

Hope that helps:)

Answer: a = 2 because 1 + 1 = 2

Step-by-step explanation:

I got 9 7/9 by using a calculator

The median of the given standard data set 9, 3, 10, 12, 4, 5, 12, 2 will be calculated approximately to 7. So , the median of the dataset is 7.

The median is a measure of central tendency that gives us an idea of where the "middle" of a data set lies. In other words, it gives us a value that separates the data set into two equal parts, with half of the values being above the median and the other half being below the median.

To find the median of a data set, the first step is to arrange the values in ascending or descending order. This makes it easier to identify the middle value(s) in the data set.

If the data set has an odd number of values, then there is a single middle value and that value is the median. For example, if we have the data set: 1, 2, 3, 4, 5, the median would be 3 because it is the middle value in the ordered set.

If the data set has an even number of values, then there are two middle values and the median is the average of those two values. For example, if we have the data set: 1, 2, 3, 4, 5, 6, the median would be the average of 3 and 4, which is (3 + 4) / 2 = 3.5.

So, in the case of the data set: 9, 3, 10, 12, 4, 5, 12, 2, we arrange the values in ascending order: 2, 3, 4, 5, 9, 10, 12, 12. Since there are 8 values, which is an even number, there are two middle values: 5 and 9. The median is the average of these two values, which is (5 + 9) / 2 = 7.

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The answer is 1.6!!!

How old are?

B. y = 5x² represents a proportional relationship.

In a proportional relationship, the ratio of the dependent variable (y) to the independent variable (x) is constant. In this equation, as x increases, y also increases by a constant factor (5 times x). This indicates that the two variables are proportional to each other.

In A. y = 4x + 1 and C. y = 9, there is no constant ratio between y and x, so they do not represent proportional relationships.

Answer:

  W = 680 in

Step-by-step explanation:

You want the length of side w in ∆VWX, where w = 680 in, X = 15°, and V = 116°.

As written, this seems to be a problem in reading comprehension. You are asked for one of the values that is given in the problem statement:

  W = 680 inches

__

Additional comment

The attachment shows the solution of the triangle. In this, we have used ∆ABC ≅ ∆VWX.

Answer:

My friend didn't factorise the x in 4xy out.

Step-by-step explanation:

15x-20xy= 5x(3-4y)

Answer:

Step-by-step explanation:

Let x be the number of $1.78 paperback books and y be the number of $2.51 hardcover books that were sold. The total number of books is x + y = 30 and the total amount of money earned is $62.16. The cost of the paperback books is x * $1.78 and the cost of the hardcover books is y * $2.51.

So, we have the following system of equations:

x + y = 30 (the total number of books is 30)

x * $1.78 + y * $2.51 = $62.16 (the total amount of money earned is $62.16)

This system of equations can be used to determine the number of $1.78 paperback books and the number of $2.51 hardcover books that were sold at the yard sale.

Answer:

x=46

Step-by-step explanation:

this is how you set up the problem

3x-6+x-2=180

then you combine like terms

4x-6-6=180

then combine like terms again

4x-4=180

then you have to get 4 to the other side

4x-4=180

+4 +4

which leaves you with 4x=184

which you then divide both sides by 4

which leaves you with

x=46

I hope this helps you!!!

Answer:

x=46 =))))))))))))))))))))))))))))))))))(((()((((()()(

To grow 80000 bacteria, it will take 4.152 hours.

An exponential function is a Mathematical function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

Given,

Initial number of bacteria = 4500

Number of bacteria get doubled each hour

Function for population growth of bacteria is given by

N = 4500(2ˣ)

x is time in hours

Future population is N = 80000

Then

80000 = 4500(2ˣ)

800 = 45 . 2ˣ

taking log on both sides

log 800 = log (45 . 2ˣ)

log(mn) = log m + log n and log mⁿ = nlogm

log800 = log45+ x log2

2.9030 = 1.653 + x . 0.3010

x = (2.9030 - 1.653)/0.3010

x = 4.152

Hence, it will take 4.152 hours to grow 80000 bacteria.

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The value of the number one-tenth more than 13.7 is 13.8.

In geometry, a polygon is a type of plane figure and is defined as a closed polygonal chain made up of a finite number of straight-line segments. A region that is enclosed by a bounding plane, a bounding circuit, or both are referred to as a polygon. The portions of a polygonal circuit are referred to as its edges or sides.

Given that numbers are one-tenth and 13.7.

More means add two numbers.

One-tenth = 1/10

The number one-tenth more than 13.7 is

1/10 + 13.7

= 0.1 + 13.7

= 13.8

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Answer:

The record high temperature of 118°F is 63°F higher than the mean temperature of 55°F. The record low temperature of -40°F is 95°F lower than the mean temperature of 55°F. The record high temperature of 118°F is closer to the mean temperature than the record low temperature of -40°F by 32°F.

Stoichiometry formula is founded on the basis that law of conservation of mass where the total mass of the reactants = total mass of the products.

This is referred to as the relationship between the relative quantities of substances taking part in a reaction or forming a compound, typically a ratio of whole integers.

The stoichiometry of a balanced chemical equation identifies the maximum amount of product that can be obtained. The stoichiometry of a reaction describes the relative amounts of reactants and products in a balanced chemical equation.

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The balance of the account will be 1500 in a period of 8.31 years.

Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.

(a) The final amount in a compound interest is,

A = P(1 + [tex]\frac{r}{n}[/tex] )^ (nt), where,

A : Final amount

P : Principal amount

r : Rate of interest

t : Time in years

n : number of times compounded in a year

Given A = $1500, P = $1000, r = 0.05, n = 1

The equation is,

1500 = 1000 (1 + 0.05)^t

(b) 1500 = 1000 (1 + 0.05)^t

1500 / 1000 = (1.05)^t

1.5 = (1.05)^t

Taking logarithm on both sides,

㏒ (1.5) = t ㏒ (1.05)         [since ㏒ (a)ᵇ = b ㏒ (a)]

t = ㏒ (1.5) / ㏒ (1.05)

t = 8.31 years

Hence the amount will be $1500 in 8.31 years.

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Answer:

We can use the proportion:

48 pages / x = 80% / 100%

where x is the required length of the paper in pages.

First, we can simplify the right-hand side of the equation:

80% / 100% = 0.8

Next, we can solve for x by cross-multiplying:

48 pages / 0.8 = x

x = 60 pages

Therefore, the required length of the paper is 60 pages

Answer:

84

Step-by-step explanation:

A percentage is a ratio or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

To solve for 150% of 56, we can multiply 56 by 150%.

Therefore, 150% of 56 is 84.

The account with compound interest of 7.2 % quarterly after 5 years is given by A = $ 1,428.75

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

Let the amount after compound interest be represented as A

Now , the equation will be

The initial principal amount = $ 1000

The rate of interest r = 7.2 %

The number of times interest is applied n = 4 ( quarterly )

The number of years b = 5 years

A = P ( 1 + r/n )ⁿᵇ

Substituting the values in the equation , we get

A = 1000 ( 1 + 0.072/4 )⁴ˣ⁵

On simplifying the equation , we get

A = 1000 ( 1 + 0.018 )²⁰

On further simplification , we get

A = 1000 ( 1.018 )²⁰

A = $ 1,428.75

Hence , the amount after 5 years is $ 1,428.75

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The value of x and y in the right triangle are as follows:

x = 15√3 units

y = 30 units

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles of a right angle triangle is 180 degrees.

The side x and y can be found using trigonometric ratios,

tan 60° = opposite / adjacent

tan 60° = x / 15

cross multiply

x = 15 tan 60°

x = 15 × √3

x = 15√3 units

Let's find y as follows:

cos 60° = adjacent / hypotenuse

cos 60° = 15 / y

cross multiply

y = 15 / cos 60

y = 15 ÷ 1 / 2

y = 15(2)

y = 30 units

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Answer:i got u mate

The answer is a _10×+8y=15

Step-by-step explanation:

B. 5/12

B. 5/12

B. 5/12

B. 5/12

B. 5/12

B. 5/12

B. 5/12

Answer: B

Step-by-step explanation:

Here's how to subtract 3/12 from 4/6:

4/6−3/12

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 4 by 12, and get 48.

Then we multiply 3 by 6, and get 18.

Next we give both terms new denominators -- 6 × 12 = 72.

So now our fractions look like this:

48/72−18/72

Step 2

Since our denominators match, we can subtract the numerators.

48 − 18 = 30

So the answer is:

30/72

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

30/72÷ 2 =15/36

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

15/36÷ 3 =5/12

Let's try dividing by 3 again...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

No good. 7 is larger than 5. So we're done reducing.

There you have it! The final answer is:4.6−3/12=5/12

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Area = length x breadth

To find the surface area of the postal box, we first find the area of each sides of the box and add them together.

Top and bottom area = L x B = 12 x 8 = 96inches² x 2 = 192inches²

Front and back areas = L x B = 12 x 2 = 24inches² x 2 = 48inches²

Area of the sides = L x B = 8 x 2 = 16inches² x 2 = 32inches²

Total surface area will be 192 + 48 + 32 = 272inches²

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The image point after the translation would be (10, - 1).

Given is the coordinate point of (5, 1).

We can write the translation rule as -

(x, y) → (x + 5, y - 2)

We can write the image point as -

(5, 1) → (5 + 5, 1 - 2)

(5, 1) → (10, - 1)

Therefore, the image point after the translation would be (10, - 1).

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The required number maximum number of copies can be afforded c < 13.33.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

We have $4.00 and you need to make copies of a flyer at a store that charges $0.30 per copy.

Here,

Let the number of copies be c,

According to the question,

0.30c < 4

c < 4/ 0.30

c < 13.33

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-9(k-5+2k-8) and -27k+117 are equivalent expressions since the solution of -9(k-5+2k-8) = -27k+117.

Equivalent expressions are algebraic expressions that produce the same answer when being simplified. They are said to be a similar expression for whatsoever process used to solve the expression, either by substitution of values or applying mathematical property, they tend to produce equivalent expressions at the end. The equality sign is used between two algebraic expressions that are said to be equivalent.

Given that:

= -9(k-5+2k-8)  

Open brackets

= -9k + 45 - 18k + 72

= -27k + 117

Therefore, we can say  -9(k-5+2k-8) and -27k+117 equivalent expressions are equivalent expressions.

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Answer: D (210.00)

Step-by-step explanation:

According to the formula of compound INTEREST this is correct