Multi-step word problems are combination of fundamental which includes hidden questions. Here, you will be able to think deeply and improve your higher order thinking skills to solve the problems. Learning Task 2. Solve the given problems. Use the 4-steps inn solving word problems. A hidden questions should be incorporated in your answer Write your solution in your notebook. 1. Mr. Fernandez earns P 28.50 per hour as an office clerk. He earns 1.75 times as his regular rate for overtime. His regular work is 40 hours per week. He gets overtime pay if he works more than 40 hours. How much is his total earning if he works 45 hours in one week? 2. Lucy earns P 1,525.00 a week. She sets aside 15% of this for savings. How much does she save in a year? (Hint: 1 year = 52 weeks). 3. Mrs. Briones has a monthly pay of 50,000.00. The withholding tax de ducted from her monthly salary is P 5,275.75. What is the actual pay she receives in a year?

Answers

Answer 1

The solution to the word problems given are obtained by creating a mathematical expression from the questions given. Hence, the solutions are :

$1389.375$11895$536691

1.)

Regular Earning per hour = $28.50Overtime earning = 1.75 × 28.50 = $49.875Regular work hour = 40 hours

Total work hours = 45 hours

Total earning can be defined thus :

28.50(40) + 49.875(45 - 40)

1140 + 249.375

= $1389.375

2.)

Earning per week = $1525Percentage saving = 15%

Yearly saving can be calculated thus :

Weekly saving = 15% × 1525 = $228.75

Amount saved per year = $228.75 × 52 = $11895

3.)

Monthly pay = $50000Withholding tax per month = P 5275.75

Actual payment received per year can be calculated thus :

Actual weekly earning = $50000 - $5275.75 = $

Actual yearly earning = 52 × $44724.25 = $536691

Learn more : https://brainly.com/question/25257355

Related Questions

A city has 1,242 law enforcement officers in the police department. If the officers are divided equally into 18 groups, how many officers will be in each group?

Answers

Answer:

Step-by-step explanation:

1,242 ÷ 18 = 69

Since the problem says divided equally, you will need to divide the total number of officers into 18 groups.

-kiniwih426

Total Officers=1242Total groups=18

Members per group:-

[tex]\\ \sf\longmapsto \dfrac{1242}{18}[/tex]

[tex]\\ \sf\longmapsto 69[/tex]

Determinen las medidas algebraicas necesarias para calcular el área del hexágono

Answers

Answer: i cant understand that laugaue so hopefully u do well sorry

Step-by-step explanation:

Please help with full solution ;)

Answers

Answer:

None Of These

Step-by-step explanation:

Because you cannot determine what the two sides are because there are 2 missing variables.

This is a linear equation and has infinite solutions.

Another equation matching this is needed to find a specific answer.

Hope This Helps :)

8xy + 14x + 4x - 2xy + 6y
I NEED HELP ON IT

Answers

Answer:

Welp i dont have your help you need

Step-by-step explanation:

Because i just dont

Suzy is 2997972000 seconds old. How many years old is she?

Answers

Answer:

95.06506849315

Step-by-step explanation:

Basically 95 years old which is very old Pls brainliest Thx! :D

Answer:

lets see according to my cackulations.... suzie would be, 6.....she would be six feet under the ground. dead. deceaced.gone.

Step-by-step explanation:

solve x/3 = 1.5 show working out

Answers

Answer:

x = 4.5

Step-by-step explanation:

[tex]\frac{x}{3}[/tex] = 1.5 ( multiply both sides by 3 to clear the fraction )

x = 3 × 1.5 = 4.5

x=4.5 because you have to times the 3 on both sides leaving x=3•1.5 equaling to x=4.5

-9 ÷ 7.2 as a decimal

Answers

your answer as a decimal is -1.25

1.2k + 2.4, factor out the coefficient of the variable, explain how you got it pls

Answers

The variable is k, the coefficient of the variable (k) is 1.2 so we factor out 1.2
And that gives us 1.2(k+2)

HELP PLEASE I NEED HOW TO DO IT AND THE ANSWER FAST PLEASE

Answers

Answer:

Step-by-step explanation:

factor the numerator and denominator and cancel the common factors

[tex]\frac{2}{5}[/tex](6-5p)

Answers

Answer: -2x + 12/5

Step-by-step explanation:

If the length of the legs of a right triangle are 5 meters and 7 meters, what is the length of the hypotenuse to the nearest tenth of a meter?

Answers

Answer:

8.6 meters

Step-by-step explanation:

a² + b² = c² means leg² + leg² = hypotenuse ²

5² + 7² = hypotenuse²

25 + 49 = hypotenuse²

74 = hypotenuse ²

[tex]\sqrt{74}[/tex] = hypotenuse

8.6 = hypotenuse

Factor the expression

Answers

Answer:

(2x+1)(x−2)(2x−5)

Step-by-step explanation:

(3x−6)(4x2−1)−(2x−4)(4x2+4x+1)

4x3−16x2+11x+10

=(2x+1)(x−2)(2x−5)

What type of polynomial is P(x)=x3−1?
A. cubic
B. quintic
C. linear
D. quartic

Answers

Answer:

Step-by-step explanation:

Cubic because the highest exponent is 3.

The classification of the polynomial P(x) = x^3−1 by degree is; Cubic. Hence, option A is correct.

What are polynomials forms?

Generally, polynomials take the form,

P(x) = ax^n + bx^(n-1) + cx^(n-2).... + z

where:

a, b....= arbitrary constants

x = variable

n = highest power of the variable in the polynomial

The given polynomial is P(x) = x^3−1

The classification of the polynomial P(x) = x^3−1 by degree is; Cubic.

Cubic function is one that has the highest exponent is 3.

Hence, option A is correct.

Answers

Answer:

Is there a picture i could go by to answer your question or is this is?

I need the answer to this picture below

Answers

Answer:

-4,1,7,15

Step-by-step explanation:

What is the sum of 1 + 1?

Answers

1 + 1 = 2

Have a beautiful and joyful day ahead.

Answer:

1+1= 2

have a nice day stay safe <3

If covariance between two variables is near 0, it implies that:

Answers

Answer:

If the two random variables are independent, the covariance will be zero. It means they don't have any linear relationship.

Step-by-step explanation:

a pole that is 3.3m tall casts a shadow that is 1.77 m long. at the same time , a nearby tower casts a shadow that is 38.5 m long. how tall is the tower? round your answer to the nearest meter

Answers

Answer:

21m

Step-by-step explanation:

First, divide 38.5 by 3.3.

Then, multiply that number by 1.77.

You will get 20.65...

Rounded, you will get 21 because .65 is bigger than half of one.

-kiniwih426

What is the value of h?

h = 20
h = 35
h = 55
h = 70

Answers

Answer:55

Step-by-step explanation:

P=[−3610−4] , Q=[−2571] , R=[4−20813]

Given the three matrices above, evaluate P+Q.

P+Q=[acbd]. Find the values of a, b, c, and d.

Answers

Adding the matrices, it is found that the values are: [tex]a = -5, b = 8, c = 11, d = -3[/tex]

The values of a, b, c and d is determined by the addition of matrices P and Q, that is:

[tex]P + Q = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]

We have that the matrices are:

[tex]P = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right][/tex]

[tex]Q = \left[\begin{array}{cc}-2&5\\7&1\end{array}\right][/tex]

Then:

[tex]P + Q = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right] + \left[\begin{array}{cc}-2&5\\7&1\end{array}\right] = \left[\begin{array}{cc}-3-2&6+5\\1+7&-4+1\end{array}\right] = \left[\begin{array}{cc}-5&11\\8&-3\end{array}\right][/tex]

Finally:

[tex]\left[\begin{array}{cc}-5&11\\8&-3\end{array}\right] = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]

Thus, the values are:

[tex]a = -5, b = 8, c = 11, d = -3[/tex]

A similar problem is given at https://brainly.com/question/24810141

[tex]a\sqrt{a} +2a + \sqrt{a} +2\\[/tex]

Answers

Step-by-step explanation:

= [tex](a\sqrt{a} + 2a)+(\sqrt{a}+2 )[/tex]

= [tex]a(\sqrt{a} + 2a)+(\sqrt{a}+2 )[/tex]

= [tex](a+1)(\sqrt{a} +2)[/tex]

please give me a brainliest answer

What is the product?
(4x) {-3x^8}{-7x^3}

Answers

Answer:

[tex]84x^{12}[/tex]

Step-by-step explanation:

[tex](4x)( - {3x}^{8} )( - {7x}^{3} ) \\ (4 \times - 3 \times - 7)( {x}^{} \times {x}^{8} \times {x}^{3} ) \\ (81)( {x}^{ 1 + 8 + 3} ) \\ 81 {x}^{12} [/tex]

(6)(−3)(−5) ........................

Answers

Answer:

-2? maybe

Step-by-step explanation:

36.05 rounded off to the nearest tens place

Answers

Answer:

36.1

Step-by-step explanation:

if the 100s place is 5 or above add 1 to the tens place. if it's 5 or below the tens will stay the same.

answer po plss plss plsss plss

Answers

Answer:

Step-by-step explanation:

16.) (3/5)+(-13/5) = (3-13)/5

(3-13)/5 = -10/5, or -2

17.) -1 3/20 - (-3/4)

-(20/20+3/20) + (3/4)

-23/20 + 3/4

-23/20 + 15/20

-8/20

-2/5

18.) (-8/15)/(-1+1/3)

(-8/15)/(-3/3+1/3)

(-8/15)/(-2/3)

(-8/15)*(-3/2)

24/30

4/5

give the slope perpendicular to the equation 2x-y=5

Answers

Answer:

- [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x - y = 5 ( subtract 2x from both sides )

- y = - 2x + 5 ( multiply through by - 1 )

y = 2x - 5 ← in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]

Find the measure of the angles (S)

Please help out:/

Answers

Answer:

Step-by-step explanation:

The triangle’s angles add up to 180°

so 180 - (5x - 2) = the another one interior angle

180 - 5x + 2

182 - 5x

and then 2x + 76 + (182 - 5x) = 180

2x + 76 + 182 - 5x = 180

258 - 3x = 180

78 = 3x

x = 26

so 2x = (26)(2) = 52

5x - 2 = (5)(26) - 2 = 128

please give me a brainliest answer

Need a bit of help here

Answers

Answer:

Answer 1 is 4:2 or also write as 2:1.

Evaluate the function when x= -3,0 and 1. Show work H(x) = 2.5x + 7

Answers

Answer:

H(-3)= -0.5

H(0)= 7

H(1)= 9.5

Step-by-step explanation:

For H(-3)

Substitute all of the x into -3

H(-3)=2.5(-3)+7

2.5 times -3 is -7.5

-7.5+7 is -0.5

So the answer for H(-3) is -0.3

For H(0)

Substitute all of the x into 0

H(0)=2.5(0)+7

2.5 times 0 is 0

0+7 is 7

So the answer for H(0) is 7

For H(1)

Substitute all of the x into 1

2.5(1)+7

2.5 times 1 is 2.5

2.5+7 is 9.5

So the answer for H(1) is 9.5

Hope this helps!

he ratio of the interior angle measures of a triangle is 2:3:5. What are the angle measures?In order from the smallest angle to the largest angle, the angle measures are°,°, and°.

Answers

Answer:

Step-by-step explanation:

Ratio of angles = 2 : 3 :5

Angles are 2x , 3x , 5x

Sum of all angles of triangle = 180

2x +3x + 5x = 180

10x = 180

x = 180/10

x = 18

2x = 2*18 = 36

3x = 3*18 = 54

5x = 5*18 = 90

Smallest to largest

36 , 54 , 90

Answer:

36°, 54°, and 90°

Step-by-step explanation:

The sum of interior angles of a triangle = 180

Remember: The sum of the interior angles = (number of sides - 2)(180)

2:3:5 means 2x:3x: 5x

2x + 3x + 5x = 180

10x = 180

x = 18

The angles are 2(18) = 36°

3(18) = 54°

518) = 90°

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