Suppose that a new employee starts working at $7.72 per hour and receives a 4% raise each year. After time t, in years, his hourly wage is given by the equation y=$7.72(1.04)t. Find the amount of time after which he will be earning $10.00 per hour.

Answers

Answer 1

Answer:

6.5978 years

Step-by-step explanation:

y=7.72(1.04)^t

10=7.72(1.04)^t

1.04^t=1.2953367875647668

log 1.04^t=log 1.2953367875647668

t log 1.04=log 1.2953367875647668

t=6.5978 years .............


Related Questions

How can x + 3 = -2x + 5 be set up as a system of equations? (1 point)
01) y - x + 13
y = -2x + 5
O2) y = x + 3
Y-3x + 11
O3) y = x + 12
y = -2x + 1
O4) y = x + 3
y = -2x + 5

Answers

9514 1404 393

Answer:

4) y = x + 3

   y = -2x + 5

Step-by-step explanation:

Set each side of the equal sign equal to y.

Left side:

  y = x + 3

Right side:

  y = -2x +5

It rained nine days in the month of April. Based on this, what is the probability that it does not rain on the first day of May? *

Answers

Answer: 0.7

Step-by-step explanation:

April has 30 days, and we know that it rained in 9 of them.

Then the probability that there will be rain in a random day, can be estimated as the quotient between the number of days where was rain and the total number of days, this probability will be:

P = 9/30 = 0.3

And we can extrapolate this probability to May.

Then we can estimate that the first day of May, the probability of rain will be around 0.3

Then the probability that it does not rain in the first day of may will be:

1 - 0.3 = 0.7

HURRY IM TIMED!!!!! How much would Kelly have in her account after three years if she started with $200 and earns 2 percent, compounding annually?


$212.24

$12.24

$200.00

$400.00

Answers

Answer:

$212.24

Step-by-step explanation:

Start: $200

After 1 year: $200 * 1.02 = $204

After 2 years: $204 * 1.02 = 208.08

After 3 years: $208.08 * 1.02 = $212.24

Answer: $212.24

Answer:

212.24

Step-by-step explanation:

the answer is 212.24

Enter the sum in simplest form. pls answer I give brainliest

Answers

11/12 -5/12 would equal 7/12. 7/12 can not be simplified, because seven and twelve can not be divided by the same number to get smaller numbers. 7/12 is the simpliest form

Answer:

1/2

the 1 goes on top and the 2 goes at the bottom

Geometric proof. Please help! Mark brainliest

Answers

9514 1404 393

Answer:

  HL theorem

Step-by-step explanation:

AC = BD are the hypotenuses of the triangles of interest.

AB = DC are legs of the triangles of interest.

Since the angles in the triangles of interest are given as right angles, the ...

  HL theorem

is applicable.

can someone help out​

Answers

Answer: was there a total number of people?

Step-by-step explanation:

Answer:

1720

Step-by-step explanation:

so 45 percent were supporting visiting team

100 is the total

100-45=55

55 percent=people supporting home team

55%=946 people

946/55

17.2=1%

so multiply 17.2 times 45

774 supported visiting team

to find total add 774+946 or multiply 17.2 times 100

1720

Solve each of the following: Show your work. 3 movie tickets cost $36. At this rate, what is the cost per ticket? 3 ice cream cones cost $8.25. At this rate, how much do 2 ice cream cones cost? 3 bananas cost $0.99. At this rate, how much do 5 bananas cost?

Answers

Answer: Look below for the answers

Step-by-step explanation:

unit rates...

MOVIE TICKETS

$36/3=12

$12 for each ticket so

ICE CREAM CONES

$8.25/3=$2.75

$2.75 for each cone so

2 icecream cones cost $5.5

BANANAS

.99/3=.33

.33 for each banana so

.33*5=$1.65


To make popcorn, a movie theater uses 9 tablespoons of oil for each cup of popcorn kernels
Using this information, complete the table for the missing amounts of oil and popcom kemels.
Tablespoons of Oil
Cups of Popcom Kemels
18
4
9
Claim (What are you doing?) Show Evidence (How did )
Reasoning (Why)
work

Answers

Answer:

18:2

36:4

81:9

Step-by-step explanation:

(WHAT ARE YOU DOING?) You are adding 1 cup per 9 tablespoons of oil

(EVIDENCE) You looked at the multiples of 9 and added 1 cup of kernels per multiple until you got to 9 cups.

(REASONING) It it the most simple way to get the answer.

Ifa rectangle measures 20 meters by 48 meters, what is
the length, in meters, of the diagonal of the rectangle?

Answers

Answer:

[tex]52m[/tex]

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the diagonal since drawing a diagonal across a rectangle results in two right angle triangles.

Length of diagonal [tex]= \sqrt{20^2+48^2}[/tex] (The length of the diagonal can be thought of as the hypotenuse of one of the right angle triangles)

[tex]=\sqrt{2704}[/tex]

[tex]=52 m[/tex]

∴ The length of the diagonal is [tex]52 m[/tex]

Hope this helps :)

Round to the nearest percent.
From 13 friends to 19 friends
what is the percent increase?

Answers

Answer: 19

Step-by-step explanation:decrease this is really easy truest me wait actually dine lmoa hahah

Find the x−and y−intercepts. 3x + 12y = −48

Answers

Answer:

y-intercept: (0,-4)

x-intercept: (-16,0)

Step-by-step explanation:

To solve for X, Substitute 0 for Y and continue.

To solve for Y, Substitute 0 for X and continue.

Math Problem:
(PLEASE HELP ME I WILL GIVE BRAINLIEST)

Tammy figured her math exam would be difficult unless she put in at

least 15 hours of study time to prepare. She studied 2½ hours on

Monday, 3 hours on Tuesday, 4¾ hours on Wednesday, and 4 ½

hours on Thursday. Did she study at least 15 hours? Explain.

Answers

Answer: She put 14 hours and 45 minutes into studying.

Step-by-step explanation:  2 1/2 hours plus 4 1/2 hours is 7 hours. Plus 3 is 10 hours. Plus 4 3/4 is 14 3/4 hours. 14 3/4 hours is = to 14 hours 45 minutes studying.

You are given 3 sticks of length 2 cm, 3 cm and 5 cm. What kind of triangle these sticks would form ? Justify your answer ?

Answers

Answer:

These sticks would for a scalene triangle.

Step-by-step explanation:

This is because none of the lengths are equal

solve the folloeing equation for a number x.

5x-x-6=6(2x+7)
plllllzzz help

Answers

Answer:

x=-6

Step-by-step explanation:

5x-x-6=6(2x+7)

4x-6=6(2x+7)

4x-6=12x+42

-8x=48 |:(-8)

x=-6

Can someone pls help solve this

Answers

Answer:

YOU JUST NEED T APPLY THE FORMULA OF CIRCLE AND IRREGULAR SQUARE AS TRAPEZOIID

Step-by-step explanation:

here is a polygon. draw a scaled copy of the polygon using a scaled factor or 1/2
tell me the size amount since you cant draw

Answers

Answer:Answer: For the first question it is basically half of the polygon.

Step-by-step explanation:

If you count the units, for example one of the side is 4 units. What is half of 4. It is 2

What is the value of i 75 ? − 1 − − 1 − i − − i 1 1 i

Answers

-i

The best way to explain this is to divide 75 by 4 and whatever remainder you have (in this case 3) you make it i^3 which is -i

Identify the description of data that would be best represented by a histogram.
O IQ scores
O hours a store is open each week
o number of trees sold each day
O favorite ice cream

Answers

Number of trees sold each day because you could get different amounts everyday.

The number 2 in the expression 5 +2x is called the coefficient of x.how does changing the coefficient to 6 change the meaning of the expression

Answers

Answer:

would that be 12

Step-by-step explanation:

88 multiplied by 10000

Answers

Answer:

880,000

I hope this helps!

Answer:

880,000

Step-by-step explanation:

10000 x 88 = 880000

When multiplying by anything with zero's, without decimals. You will multiply your two numbers (other than 0) by each other, then add however many zero's there are total to the end.

Which of the sets of ordered pairs represents a function? (5 points) A = {(1, −5), (8, −5), (8, 7), (2, 9)} B = {(7, −4), (7, −2), (6, −3), (−9, 5)} Only A Only B Both A and B Neither A nor B

Answers

Answer:

We conclude that Neither A nor B represents the function.

Hence, the correct option is:

Neither A nor B

Step-by-step explanation:

A function relates an input to an output.

For example, a certain animal grows 30 cm each year. Thus, the height of the animal is associated with its age using the function

h (age) = age × 30

Therefore, if the age of the animal is 3 years, the height is:

h(3) = 3 × 10 = 90 cm

Set A

A = {(1, −5), (8, −5), (8, 7), (2, 9)}

Please check that there are duplicated inputs.

i.e. x = 8 is appeared twice.

Thus, set A does not represent the function because the function has repeated inputs or x-values. In other words, each input is not related to exactly one output.

Therefore, the set A of ordered pairs does not represent a function.

Set B

B = {(7, −4), (7, −2), (6, −3), (−9, 5)}

Please check that there are duplicated inputs.

i.e. x = 7 is appeared twice.

Thus, the set B does not represent the function because the function has repeated inputs or x-values. In other words, each input is not related to exactly one output.

Therefore, the set B of ordered pairs also does not represent a function.

Conclusion:

We conclude that Neither A nor B represents the function.

Hence, the correct option is:

Neither A nor B


The ages of 10 randomly selected students in a piano class are recorded below. 12, 14, 16, 15, 14,
18, 11, 12, 14, 15
What is a good estimate of the average age of all the students in the piano class?
A: 12 years
B: 14 years
C: 18 years
D: 16 years

Answers

Answer:A ..

Step-by-step explanation:

Your best answer would be option B : 14 years

!!!!!HELP ASAP WILL MARK BRAINLIEST IF CORRECT!!!!!!
Salt was mixed with pure water in a 1:3 proportion. What is the percentage of salt in the new solution?

Answers

Answer:

25%

Step-by-step explanation:

The proportion of salt in the mixture is 1:3; which means that for every portion of solution, salt makes up 1 part for every 3 parts of pure water.

Thus, salt makes up 1 part  of every 1+3=4 portions of solution, or 25% ....................

Answer:

25 percent, because 1/4 is 0.25

Simplify the midpoint of PR.
Q (2b, 2c)
R (2a+2b, 2c)
Pl(0,0)
S (2a, 0)

Answers

Answer:

The midpoint of PR is;

(a + b, c)

Step-by-step explanation:

Here, we want to get the coordinates of the midpoint of PR

To get these, we make use of the midpoint formula

Mathematically, that will be;

(x,y) = (x1+y1)/2, (x2+y2)/2

(x1,y1) = (0,0)

(x2,y2) = (2a+2b, 2c)

The midpoint is thus;

(2a+2b)/2 , 2c/2

= (a + b, c )

Answer:

(a+b, c)

Step-by-step explanation:

Smile because it's correct for Acellus

Name each polynomial by degree first, and then number of terms.
-3a

Answers

Answer:binomial, polynomial,trinomial

Step-by-step explanation:

A polynomial can be classified by its number of terms. A polynomial with two terms is called a binomial, and a polynomial with three terms is called a trinomial. A polynomial can also be classified by its degree.

Clint and his brother raise rabbits. Clint has 11 rabbits and his brother has 24. What is the difference between
the number of rabbits Clint has and the number his brother has?

Answers

Answer:

difference between their rabbit is 13.

hope it helps.

Answer:

13

Step-by-step explanation: First, you have to know what "difference" means before you can attempt this question. Difference-The result of subtracting one number from another. How much one number differs from another. Now that you know the definition of "difference" we can solve. So we will subtract which is the result of this: 24-11=13

Find the slope of the line.
у
4
|(1,4)
-2
1
--5-4-2-1
1 x
T(-4,-1)
7
slope =

Answers

Answer:

[tex]\displaystyle m=1[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-4, -1)

Point (1, 4)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]\displaystyle m=\frac{4+1}{1+4}[/tex]Add:                                     [tex]\displaystyle m=\frac{5}{5}[/tex]Divide:                                 [tex]\displaystyle m=1[/tex]

It was estimated that 650 people would attend the baseball game, but 683 people actually attended.
What is the percent error, to the nearest percent, of the estimate?

Answers

Answer:5

Step-by-step explanation:

line s has a slope of 7/4. Line t is perpendicular to s. What is the slope of line t?

Answers

Answer:

Step-by-step explanation:

The formula governing this situation is

m1 * m2 = - 1

Method One

So let m1 = 7/4

(7/4)*m2 = - 1                      Multiply by 4

7*m2 = -1*4                         Divide by 7

m2 = -4/7

Method Two

Most people teaching this try to get you to use reciprocals. If you know how to do that then the answer is much simpler.

7/4 m2 = -1                        Multiply by 4/7

4/7 * 7/4*m2 = - 1 * 4/7      

m2 = -4/7

However if you are not comfortable with reciprocals, then then the thing to do is to handle them the way I showed you in the first method.

Can some one help me?

Answers

Answer:

W = 10 cm

Step-by-step explanation:

Area of a Triangle and a Rectangle

The area of a triangle of base B and height H is:

[tex]\displaystyle A_t=\frac{BH}{2}[/tex]

The area of a rectangle of width W and length L is:

[tex]A_r=WL[/tex]

We are given the base of the triangle B=6 cm and the height H=8 cm, thus the area is:

[tex]\displaystyle A_t=\frac{6*8}{2}= 24\ cm^2[/tex]

The area of the rectangle is 5 times the area of the triangle, thus:

[tex]A_r=5*24\ cm^2=120\ cm^2[/tex]

If we know the area of the rectangle and its length, we can find the width by solving for W:

[tex]\displaystyle W=\frac{A_r}{L}[/tex]

The rectangle has a length of L=12 cm, thus:

[tex]\displaystyle W=\frac{120}{12}=10\ cm[/tex]

W = 10 cm

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