A construction worker earned $17 per hour for the first 40 hr of work and $25.50 per hour
for work in excess of 40 hr.
(a)Write a function to model her weekly pay W in terms of the number of hours she
worked that week.
(b) One week she earned $896.75. How much overtime did she work?

Answer:

u=20

Step-by-step explanation:

the answer is -13. And this is why, because the negative sign is bigger so same sign add keep the same sign that’s why I got -13

Step-by-step explanation:

x = number of children

y = number of adults

x + y = 364

x = 364 - y

1.75x + 2.25y = 707.5

using the first equation in the second :

1.75(364 - y) + 2.25y = 707.5

637 - 1.75y + 2.25y = 707.5

637 + 0.5y = 707.5

0.5y = 70.5

y = 70.5/0.5 = 141

x = 364 - y = 364 - 141 = 223

there were 223 children at the public pool.

there were 141 adults at the public pool.

The discount is $278.59 and the proceeds for the following simple discount note,  using 360 days for a year is $9421.41

Discount refers to a reduction in the price of an item or service. It can be expressed as a percentage or an absolute value, and it is usually calculated as a difference between the original price and the reduced price. In finance, discount is often used to refer to the reduction in the face value of a financial instrument, such as a bond or a bill, before it matures. The amount of the discount is usually based on the interest rate and the time to maturity. The term "discount" is also used in various other contexts, such as in retail sales, where items are sold at a lower price than their regular price to encourage customers to buy.

(a) The discount is calculated by multiplying the face value of the note by the discount rate and then dividing by the number of days in a year (360).

Discount = $9700 * 9.5% * 135/360

Discount = $9700 * 0.095 * 3/10

Discount = $9700 * 0.285/10

Discount = $278.59

(b) The proceeds are calculated by subtracting the discount from the face value of the note.

Proceeds = Face Value - Discount

Proceeds = $9700 - $278.59

Proceeds = $9421.41

To know more about face value visit:

https://brainly.com/question/14885781

#SPJ1

Answer: Let's call the number of hamburgers sold "x". Then the number of cheeseburgers sold would be x + 53. The total number of hamburgers and cheeseburgers sold is 553, so we can set up the equation:

x + (x + 53) = 553

Expanding the left side:

2x + 53 = 553

Subtracting 53 from both sides:

2x = 500

Finally, dividing both sides by 2:

x = 250

So on Wednesday, 250 hamburgers were sold.

Step-by-step explanation:

Answer:

To find the account balance after 5 years, we need to calculate the compound interest earned during this period. The formula for compound interest is:

A = P × (1 + r/n)^(nt)

where:

A = the final amount of the investment

P = the principal investment amount ($1000)

r = the annual interest rate (7.2%)

n = the number of times that interest is compounded per year (1)

t = the number of years the investment is held (5)

So, plugging in the values into the formula, we get:

A = 1000 * (1 + 0.072/1)^(1 * 5)

A = 1000 * (1.072)^5

A = 1000 * 1.44444444

A = $1444.44

So, the account balance after 5 years would be $1444.44.

Answer:

Step-by-step explanation: I could mostly say $36,000. How I did it was:

1000x7.2x5=36,000

Could you find this helpful???

The mass of the sample after 4 days is 1.54 kg.

Exponential decay can be defined as the process in which a quantity decreases over time with the rate of decrease becoming proportionally smaller as the quantity gets smaller.

The formula for exponential decay is given by:

m(t) = m0 * e^(-kt)

where m(t) is the mass of the substance after time t

M0 is the initial mass

k is the decay rate parameter

E is the base of natural logarithms

Plugging in the values:

m(4) = 2.05 * e^(-0.04 * 4)

m(4) = 1.54 kg

Therefore, The mass of the sample after 4 days is 1.54 kg.

Learn more about exponential decay here: brainly.com/question/25802424

#SPJ1

The minimum = (-11, -2)

And the maximum = (2, 5).

Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of change based on one of its variables.

Given:

The function,

f(x) = ∛(x + 3).

The graph of the function is given in the attached image.

f'(x) = d/dx{∛(x + 3)}

     = 1/{3(x + 3[tex])^{2/3}[/tex]}

The critical point = (-3, 0)

The minimum = (-11, -2)

And the maximum = (2, 5).

Therefore, all the required values are given above.

To learn more about the differentiation;

https://brainly.com/question/24898810

#SPJ1

well, the line y = -5 is simply a horizontal line, a perpendicular line to that will simply be a vertical one, Check the picture below.

Answer:in the latest published financial statements,an amount of $42000 appears against accounts payable.During the year,goods worthy $150000 were purchased on credit .assuming 365 days in a year ,what is the approximate accounts payable payment period.

Step-by-step explanation:

expression : 75+90m

the 75 is the base payment, plus 90 per month, and the variable m symbolizes the amount of months.

Hope this helped =)

-YinAhara

We can conclude, the number -7/5 is less than the number 1 1/5.

One of the ways to know how a fraction compares to another is by simplifying the fraction, which can be done by dividing the numerator by the denominator.

Let's simplify the fractions given:

-7/5 = -1.4

-1 1/5 = 1 + 0.2 = -1.2

Moreover, in the case of negative numbers those that are closer to 0 are greater. Based on this, -1.2 is greater than -1.4, which means -7/5 is less than the number 1 1/5.

Note: This question is incomplete; here is the missing section:

The number -7/5 is less or greater than the number 1 1/5.

Learn more about fractions in https://brainly.com/question/10354322

#SPJ1

We can write radicals  [tex]9^{\frac{3}{2}[/tex] as [tex](3^2)^{\frac{3}{2}[/tex] forms to help us communicate our answers.

We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,

The other type of radicals are indices where a number is raised to such power that is greater than one.

Suppose, We have a radical [tex]16^{\frac{1}{4}[/tex].

Now, We know 2⁴ = 16.

So, We can rewrite [tex]16^{\frac{1}{4}[/tex] as [tex](2^4)^{\frac{1}{4}[/tex] and multiply the exponents which

results to 1.

Again say we have [tex]9^{\frac{3}{2}[/tex] and we know 3² = 9, Se we can rewrite [tex]9^{\frac{3}{2}[/tex] as [tex](3^2)^{\frac{3}{2}[/tex] , and the exponent multiplies to 3 so it is now 3³ which is 27.

learn more about radicals here :

https://brainly.com/question/1369233

#SPJ1

Answer: $0.92

Step-by-step explanation:

Answer:

92 cents = $0.92 = 0.92 dollars

Step-by-step explanation:

1 quarter = 25 cents

1 dime = 10 cents

6 dimes = 6 × 10 cents = 60 cents

1 penny = 1 cent

7 pennies = 7 cents

1 quarter + 6 dimes + 7 pennies =

= 25 cents + 60 cents + 7 cents

= 92 cents = $0.92 = 0.92 dollars

Rounding to the nearest hundredth of a meter, the height of the goalpost is 3.74 meters.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Let's call the height of the goalpost "h". We can use similar triangles to solve for h. Morgan walks a total of 13.85 and placed the mirror and walk 4.25 more, let d = 13.85.

The mirror forms a right triangle with the height of the goalpost, the distance from her eyes to the ground, and the distance d.

So, we have:

h / d = 1.15 / 4.25

Solving for h:

h = (1.15 ×13.85 ) / 4.25

h = 6371 / 1700

Rounding to the nearest hundredth of a meter, the height of the goalpost is 3.74 meters.

Learn more about triangles here:
https://brainly.com/question/2773823

#SPJ1

Answer:

a. In a class of 58 students, 35 students offer Biology, 28 students offer Economics and 15 students offer Physics.

Using the Principle of Inclusion-Exclusion, we can calculate the number of students who offer all three subjects as follows:

The total number of students who offer at least one subject is 35 + 28 + 15 = 78

The number of students who offer Biology and Economics is 12

The number of students who offer Biology and Physics is 7

The number of students who offer Economics and Physics is 5

So the number of students who offer all three subjects is given by:

35 + 28 + 15 - (12 + 7 + 5) = 58 - 24 = 34

Therefore, 34 students offer all three subjects.

b. A regular polygon with (2m + 1) sides has each interior angle equal to 1440.

Each interior angle of a regular polygon with n sides is given by:

angle = (n-2) * 180 / n

So for a regular polygon with (2m + 1) sides, we have:

1440 = (2m + 1 - 2) * 180 / (2m + 1)

Expanding and simplifying:

1440 = 360m / (2m + 1)

Multiplying both sides by (2m + 1):

1440 * (2m + 1) = 360m

Expanding the left side:

2880 + 1440 = 360m

4320 = 360m

Finally, dividing both sides by 360:

m = 12

Therefore, the value of m is 12.

The two numbers that when multiplied equal 5/9 and when added together equal -2 will be - 1/3 and - 5/3.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Let the two numbers be 'x' and 'y'. Then the equations are given as,

xy = 5/9                  ...1

x + y = - 2               ...2

From equations 1 and 2, then we have

x + 5 / (9x) = -2

9x² + 5 = - 18x

9x² + 18x + 5 = 0

9x² + 15x + 3x + 5 = 0

3x(3x + 5) + 1(3x + 5) = 0

(3x + 1)(3x + 5) = 0

x = -1/3, -5/3

At x = - 1/3, the value of y is given as,

- 1/3 + y = -2

y = - 5/3

At x = - 5/3, the value of y is given as,

- 5/3 + y = -2

y = - 1/3

The two numbers that when multiplied equal 5/9 and when added together equal -2 will be - 1/3 and - 5/3.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

Answer:

C

Step-by-step explanation:

when multiplying 2 matrices:

a11 a12 a13 ... a1n

a21 a22 a23 ... a2n

...

am1 am2 am3 ... amn

X

b11 b12 b13 ... b1m

b21 b22 b23 ... b2m

...

bn1 bn2 bn3 ... bnm

you have to consider that this is only possible, when A has m rows and n columns, and B has n rows and m columns.

because the rows of A are multiplied by the columns of B.

the resulting matrix C is a square matrix and looks like

c11 c12 c13 ... c1m

c21 c22 c23 ... c2m

...

cm1 cm2 cm3 ... cmm

the different terms are created

cxy = ax1×b1y + ax2×b2y + ax3×b3y ... + axn×bny

so, in our case, we have m=n=2.

therefore, we get also C as 2×2 matrix :

2×3 + 8×2 2×0 + 8×-1

0.6×3 + 3×2 0.6×0 + 3×-1

=

6 + 16 -8

1.8 + 6 -3

=

22 -8

7.8 -3

FYI

as rule of thumb always remember :

first line first column

first line second column

...

first line last column

...

second line first column

second line second column

...

second line last column

...

last line first column

last line second column

...

last line last column

the simplified Answer to the given expression 36 x 5 +59 x(234)(51) will be 7,04,286.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given, an expression 36 x 5 +59 x(234)(51)

Simplifying using PEMDAS

=> 36 x 5 +59 x(234)(51)

First, we will open a bracket

=> 36 * 5 + 59 * 11934

Now multiple of the given terms:

=> 180 + 704106

Addition of the last two-term

=> 7,04,286

Therefore, the simplified Answer to the given expression will be 7,04,286.

Learn more about Simplification here:

https://brainly.com/question/28996879

#SPJ1

Answer: For each hour worked, the number of tickets sold increases by 12.

Step-by-step explanation:

The constant of proportionality for the table can be found by dividing the value of y by the value of x for one of the data points. For example, when x = 2, y = 24, so the constant of proportionality k can be found as follows:

k = y/x = 24/2 = 12

So, the equation relating the number of hours worked, x, to the number of tickets sold, y, can be written as y = kx, where k is the constant of proportionality, which we found to be 12.

Thus, the equation relating the number of hours worked, x, to the number of tickets sold, y, can be written as:

y = 12x

This equation states that for each hour worked, the number of tickets sold increases by 12.

Refer to the given image

Answer:

NPV = -$57,937

Step-by-step explanation:

NPV = ($1.50 - $1.80) * 256,000 - $206,000 - $51,000 + $15,450 / (1 + 0.15)^10 - ($206,000 + $51,000) * 0.35

If a survey was carried out to find the favorite beverage of a particular telemarketing company having 2,000 employees. The statement that is true about the data: B. The estimated number of employees who would have voted for coffee is higher when based on the results of Group B rather than Group A.

The estimated number of employees who voted for coffee from Group A is 42 out of 100 (42%).

The estimated number of employees who voted for coffee from Group B is 44 out of 100 (44%).

The higher percentage of employees who voted for coffee in Group B (44%) suggests that a higher number of employees would have voted for coffee if the entire population of 2,000 employees had been surveyed.

Therefore the correct option is B.

Learn more about survey here:https://brainly.com/question/19637329

#SPJ1

Answer:b

Step-by-step explanation:

Th equaton of d in terms of W and L is d = W/LK

From the information given, we have that;

Given that the parameters are;

This is represented as;

W ∝ Ld

Find the constant value

W/Ld = K

Substitute the values

K = 140/4×54

find the value

k = 35/54

To determine , d, we have;

d = W/LK

Hence, the expression is d = W/LK

Learn about variation on:

https://brainly.com/question/6499629

#SPJ1

The likelihood of getting the loan cannot be ascertained. Hence the answer is D. There is not enough information given to determine the answer.

To determine whether Jared is likely to be approved for the home loan, it would be necessary to calculate his debt-to-income ratio, which is one of the main factors that lenders consider when evaluating loan applications. This ratio is calculated by dividing a person's total recurring monthly debt payments by their gross monthly income. If the debt-to-income ratio is higher than 28% or 36% (depending on the lender), the loan application may be declined.

Based on the information provided, it is not possible to determine Jared's debt-to-income ratio. In order to determine the ratio, it would be necessary to know Jared's gross monthly income, which is not provided. Therefore, it is not possible to say whether Jared is very likely, somewhat likely, or not likely to be approved for the home loan.

Read more on home loan here:https://brainly.com/question/22598793

#SPJ1

The number of square centimeters of icing that would be needed for one cake is equal to: C. 1,755 cm².

Since everything but the circular bottom of the cake was iced, the number of square centimeters of icing that would be needed for one cake can be calculated by using this mathematical expression:

Total surface area of cake = Curved surface area of cake + area of the top

Total surface area of cake = 2πrh + πr²

Where:

By substituting the given parameters into the total surface area of cake formula, we have;

Total surface area of cake = (2 × 3.14 × 13 × 15) + (3.14 × 13²)

Total surface area of cake = 1224.6 + 530.66

Total surface area of cake = 1755.26 ≈ 1755 square centimeter.

Read more on total area here: https://brainly.com/question/29874414

#SPJ1

Answer: C. 1,755 cm2

Hope this helps

Answer:

10%

Step-by-step explanation:

540/600 = 90%

so 10% decrease