Question 1

Sione just landed a great job as an engineer where he will make $55,000 a year. The

company he will work for guarantees a 3% pay increase each year so it's employees

salaries keep up with inflation. At the end of the 1* year Slone will have made $55,000

dollars.

1. What is the recursive function that will represent this situation?

a. m(t) = m(t - 1) + 0.03, m(1) = 55000

b. m(t) = m(t-1). 0.03, m(1) - 55000

c. m(t) = m(t-1) + 1.03, m(1) - 55000

d. m(t) = m(t-1). 1.03, m(1) = 55000

Answers

Answer 1

Answer:

Option (d)

Step-by-step explanation:

If the current salary of Sione is represented by the function m(t - 1),

Next year his salary m(t) gets hike of 3%.

So, the next year salary of Sione will be represented by,

m(t) = m(t - 1) + 3% of m(t - 1)

      = m(t - 1) + 0.03 × m(t - 1)

      = m(t - 1)(1 + 0.03)

      = 1.03m(t - 1)

Since, at the end of year 1 his salary was $55000,

Recursive function will be,

m(t) = 1.03m(t - 1) = 55000

Therefore, Option (d) will be the answer.


Related Questions

How do you solve 25-3x40

Answers

Answer:

-95

Step-by-step explanation:

multiply before you subtract

First step according to BODMAS
Where( bracket of divide, multiply, addition, and subtraction)
So first we have to do multiply because multiply is first than substraction

25-3x40

=25-120

= -95

So the answer is in negative number that is -95

DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA DA

Answers

Answer:

da de da da da de do re mi fa so la mi AAAAAAAAAAA

Step-by-step explanation:

I can speak the language of the gods xD

Which of the following equations has a slope of -2 and passes through the point (3,-4)?

Answers

Answer:

B

Step-by-step explanation:

y=-2x+2

y=mx+b

m is slope so.here m is -2

y=-2+10.passes through the point (3,-4)

because -4=-2*3+2

-4=-6+2

-4=-4

PLSSS HELPPP I WILL GIVE BRAINLIESTTTT!!!!!!!

Answers

Answer:

yes this is a function because you cannot touch more than one point at any location on the line

Step-by-step explanation:

Answer:

Step-by-step explanation:

yes it is a function because it goes in a straight line and goes through x and y

Which of the following is considered an asset?

Answers

Answer:

b car lone

Step-by-step explanation:

hope it helps

There are 200 students in the 7th grade class. 98% of the students in the grade are going on the field trip . How many students are going on the field trip? Please show your work :)

Answers

Answer:

196 students are going on the field trip

Step-by-step explanation:

Y = 98% * 200

Converting percent to decimal:

p = 98%/100 = 0.98

Y = 0.98 * 200

Y = 196

I hope this helps

A ticket to see your favorite baseball team cost $43.32. The price decreases by $0.25 for every game loss during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 24 games. What is the price of a ticket after the team loses 24 games?

Answers

Answer:

$37.82

Step-by-step explanation:

Given that the cost of the ticket is

$43.32

and the price decrease is by $0.25

let the cost be C

and let the number of losses be L

the expression for the cost we be

C=43.32-0.25L

for the number of losses which is 22 we have

C=43.32-0.25(22)

C=43.32-5.5

C=37.82

Therefore the price after 22 losses is $37.82

Renee hiked for 434 miles. After resting, Renee hiked back along the same route for 3 14 miles. How many more miles does Renee need to hike to return to the place where she started?

1 12 miles
1 12 miles

8 miles
8 miles

−1 12 miles
−1 12 miles

7 48 miles

Answers

Answer: -1 1/2

Hope it helps :)

Huang Yi works as a paleontologist and a sculptor. She earns \$5{,}500$5,500dollar sign, 5, comma, 500 per month as a paleontologist and \$4{,}500$4,500dollar sign, 4, comma, 500 per month as a sculptor. Huang Yi wants to make more than \$50{,}000$50,000dollar sign, 50, comma, 000 this year. In the inequality shown above, PPP represents the number of months Huang Yi can work as a paleontologist and SSS represents the number of months she can work as a sculptor to reach her goal. If Huang Yi worked for 666 months as a paleontologist this year, what is the minimum whole number of months that she must work as a sculptor to reach her goal?

Answers

Answer:

4 months

Step-by-step explanation:

Let P represents the number of months Huang Yi can work as a paleontologist and S represents the number of months she can work as a sculptor to reach her goal.

If she works for P months as an paleontologist, her income would be 5500P while if she works for S months as a sculptor her income would be 4500S.

Her total income = 5500P + 4500S

Since she wants to earn more than $50000, hence:

5500P + 4500S > 50000

Given she worked as a paleontologist for 6 months, therefore:

5500(6) + 4500S > 50000

33000  + 4500S > 50000

4500S > 50000 - 33000

4500S > 17000

S > 17000/4500

S > 3.78

S > 4

The minimum whole number of months that she must work as a sculptor to reach her goal is 4 months

SIMPLE EQUATIONS
81
EXERCISE 4.1
1. Complete the last column of the table.
S.
No.
Equation
Value
Say, whether the Equation
is Satisfied. (Yes/No)
(1)
x + 3 = 0
x=3
x + 3 = 0
r-0​

Answers

Answer:

Step-by-step explanation:

I think the answer should be

x + 3 = 0

x = 0 - 3

x = - 3

Sixty percent of the profit was used to pay the investors. If $15,000 was not used to pay the investors, what was the
total amount of profit?

please please help i have a pretest that’s due in 40 mins i will mark anyone as 5 stars

Answers

the total amount of profit is 9000

In the winter, a town has a low of -5°F. In
the summer, the same town has a high of
98°F. What is the difference in temperature?
[? ]°F

Answers

Answer:

-5f is lower than summer 98°f

Step-by-step explanation:

n the winter, a town has a low of -5°F. In

the summer, the same town has a high of

98°F. What is the difference in temperature?

please answers soon and answer correctly.

Answers

C .....Hope I helped .

Which number best represents the slope of the graphed line?

A. -2
B. -1/2
C. 1/2
D. 2

Answers

Answer: b. -1/2

Step-by-step explanation:

First you need to choose 2 points in the graph

I chose (0,4) and (-2,3)

After chosing 2 points you have to plug them in the slope formula

m= y2-y1/x2-x1

m= 3-4/-2-0

m= -1/-2

Answer:

B. - 1/2

Step-by-step explanation:

Just took the test on edmentum and a got it right

PLEASE HELP THIS IS DUE TODAY
jack and jill are going tubing and it costs $50 for the first 2 hours to rent the tubes and $20 for each additional hour. if they have $100 to spend, at most, how many hours can they rent the tubes?

Answers

Step-by-step explanation:

Four and half hour yes omg

Answer:

4 1/2 hours

Step-by-step explanation:

Please help! A line has a slope of -2 and a y-intercept of -3. Graph the line using the slope and y-intercept. Which of the following points lie on this same line? Check all that apply.

Answers

Answer:

2. -1.5, 0

3. -6, 9

5. 3, -9

Step-by-step explanation:

Given parameters:

    Slope  = -2

    y - intercept  = -3

Unknown:

The point that lies on the line  = ?

Solution:

 To do the equation of the line,

        y  = mx + c

y and x are the coordinates

m is the slope

c is the y -intercept

Input the parameters:

            y= -2x -3

The points that lie on the line will conform with the equation:

          y + 2x  = -3

1. -2, 0

   y = 0 and x = -2

       0 + (-2)2 = -4

2. -1.5, 0

  y = 0 and x = -1.5

      0 + 2(-1.5) = -3

3. -6, 9

   y = 9, x  = -6

    9 + 2(-6) = 9 - 12 = -3

4. 2, -3

    y = -3 and x = 2

    -3 + 2(2) = -3 + 4 = 1

5. 3, -9

    y = -9, x  = 3

      -9 + 2(3) = -9 + 6 = -3

6. -4, 4

    y = 4 , x - 4

       4 + 2(-4) = 4 - 8 = -4

The boldened coordinates line on the same line.

   

Two rival cleaning companies charge to dust houses. Captain Dustsalot charges
$20 per house call plus $ 12 per room, and Dedusters charges $30 per house call
plus $10 per room. Abigail wants to know how many rooms she must get dusted
so that Captain Dustsalot is more expensive than Dedusters. Which inequality
should she use to figure this out if x represents the number of rooms she gets
dusted?

Answers

Answer:

6 rooms

Step-by-step explanation:

20+12x=30+10x

12-10=2

20+2x=30

30-20=10

2x=10

10/2=5

5 rooms to make them equal so 6 rooms to make captain datalot more

The inequality is 20+12x> 30 +10x.

what is an inequality?

A statement of an order relationshipgreater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

Captain Dustsalot charges

$20 per house call

$ 12 per room

Dedusters charges

30 per house call

$10 per room

let  x represents the number of rooms she gets dusted.

so, inequality that represents rooms she must get dusted so that Captain Dustsalot is more expensive than Dedusters.

20+12x> 30 +10x

Learn more about inequality here:

https://brainly.com/question/20383699

#SPJ2

12, 6, _, 1.5, 0.75 what is this its on my math assignment im slow sitting doing virtual my teacher wont help me

Answers

3 that’s the answer they diving each number by 2 ; like 12 divided by 2 is 6 like that

After depositing a check from his grandmother for $45, Tim had a balance of $120.63 in his savings account. He then wrote a check to pay for his electric bill. At the end of the week Tim’s final balance was -$150.85. How much money did Tim withdraw?

Answers

Answer:

I’m pretty sure he withdrew $271.48

Step-by-step explanation:

6. Given: angle 1 and angle 2 are supplementary
Prove: p Il a

Answers

Answer:

Look at the picture. M angle1= M angle 3 might be wrong

Angle 1 and angle 2 are supplementary, so p and a are parallel by transversal properties and angle congruence.

as it is already stated that Angle 1 and angle 2 are supplementary.

from the angle 2 and 3 are supplementary according to linear pair postulate
Supplementary angles add up to 180 degrees, so we have:

angle 1 + angle 2 = 180

Using the characteristics of parallel lines and transversals, we can determine that if angles 1 and p are complementary and angles 1 and 2 are congruent, then angles p and 2 are also complementary.

according to transitive property of equality

angle1 +angle 2= angle 3+ angle 4

consecutive interior angle theorem
angle 1 = angle 3

∠1≅∠3

lines converse angles converse.

p║q

learn more about Supplementary angles here

brainly.com/question/3027144

#SPJ2

The scale factor to dilate from rectangle A to rectangle B is ?

Answers

Answer:

c

Step-by-step explanation:

What is the value of p? (Please Help Me!!! ASAP)

p+2−4=14

A. -2
B. 8
C. 12
D.16
E.22

Answers

Answer: D

Step-by-step explanation:

16 + 2 - 4 = 14

The answer is D.
16+2-4= 14 p=16

a water turck is filling a swiming pool. the euqation that represents this relationship is y = 19.75x where y is the number of gallons of water in the pool and x is the number of minutes the truck has been filling the pool choose true or false for each statement

Answers

Answer:

True

Step-by-step explanation:

Given the expression

y = 19.75x

let us see the solution from this angle

we know that

speed=distance/time

distance=speed*time

i.e quantity=rate*time

y = 19.75x

y=the quantity =number of gallons

19.5= the rate of flow

therefore

x= the time in  minutes

PLS HELP CAN SOMEONE ANSWER B AND C!!! I NEED THE GRAPHS!!! 2. The restaurant bill you and your friend received was not itemized. You ordered 2 drink refills and the egg
breakfast, for a total of $8.40. Your friend ordered 3 refills and the egg breakfast for $9.35.
(a) Write a system of equations for the situation User for the amount charged for a refill and b for the
amount charged for the egg breakfast.
(b) Graph the equations in the system
(c) Use your graph to estimate how much each item cost.
Answer:

Answers

Answer:

(a) The system of equations is:

2r + b = 8.40

3r + b = 9.35

(b) The graph is attached down

(c) By using the graph

The cost of the refill is $0.95

The cost of the egg breakfast is $6.5

Step-by-step explanation:

Let r is the amount charged for a refill and b for  the amount charged for the egg breakfast

∵ r is the amount charged for a refill

∵ b is the amount charged for the egg breakfast

∵ You ordered 2 drink refills and the egg  breakfast, for a total of $8.40

∴ 2r + b = 8.40 ⇒ (1)

∵ Your friend ordered 3 refills and the egg breakfast for $9.35

∴ 3r + b = 9.35 ⇒ (2)

(a) The system of equations is:

2r + b = 8.40

3r + b = 9.35

(b) The graph is attached down

From the graph

The red line represents equation (1)

The blue line represents equation (2)

The two lines intersected at point (0.95, 6.5)

(c) By using the graph

The cost of the refill is $0.95

The cost of the egg breakfast is $6.5

Order from least to greatest

Answers

Answer:

|-3|, |-3.52|, |8|, |-11|

Step-by-step explanation:

Hope this helps my guy

Answer:

Well, this is fairly simple.

Step-by-step explanation:

Those |  | on either side of all the numbers are absolute value lines.

Those things are everyone's best friend. They turn every number positive, and essentially make your day better.

So, using that knowledge, I can look at your numbers and tell you with confidence that the correct order is |-3|, |-3.52|, |8|, |-11|.

If I'm wrong, go ahead, shoot me. Sounds lovely.

Which of the following functions best describes this graph​

Answers

It’s a functionnnnnnnnnnn

Answer: y=x^2+8x+12

Step-by-step explanation:

there are 36 fifth graders in art class. The art teacher wants to arrange their picture on the wall so that one is in the first row , two are in the second row, three are in the third row, etc. How many rows of pictures will there be?

Answers

Answer:8

Step-by-step explanation:

Find the GCF of 12, 16, and 20

Answers

Answer:

4

Step-by-step explanation:

4 is the GCF od 12, 16 and 20

Answer:

4

Step-by-step explanation:

The greatest common factor is the largest number that is a shared factor of all 3 numbers (the greatest number they can all divide into). To find the GCF, we can list all the factors of the 3 numbers and then find the largest one that is common to all three sets.

Factors of 12 are: 1,2,3,4,6,12

Factors of 16 are: 1,2,4,8,16

Factors of 20 are: 1,2,4,5,10,20

We can see that 1,2 and 4 are the numbers common to all three sets but 4 is the largest so 4 is our greatest common factor.

Hope this helped!

Simplify the expression

Answers

Answer:

33

Step-by-step explanation:

You have to do the problem in the brackets and then multiply by 3

Answer:

33

Step-by-step explanation:

{(3+5)x2-5}x3

{8x2-5}x3

{16-5}x3

{11}x3

33

What expression is equivalent to: 100​

Answers

Answer:

10 x 10, 2 x 50

Step-by-step explanation:

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