Which expression is equivalent to f+f-5f

Hope it helps.

Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.

The amount provided by each offer after each year depends on the first

salary and the added amount or percentage series.

Reasons:

The given parameters of the job offers are;

Starting salary of offer A = $58,000

Amount by which the salary increases for 5 years = 3%

The starting salary offer B = $56,000

Amount by which the salary increases per year = $3,000

Part A: The salary amount received in the first month = $58,000

The salary in the second month, aₙ = 58,000 × (1 + 0.03)

a₂ = 58,000 × (1 + 0.03) = 58,000 × (1.03)

The salary in the third month is given as follows;

a₃ = a₂ × (1.03) = 58,000 × (1.03) × (1.03) = 58,000 × (1.03)²

The salary on the nth month is therefore;

aₙ = 58,000 × (1.03)⁽ⁿ⁻¹⁾

The above formula is in the form of the geometric series formula, which is presented as follows;

aₙ = a·r⁽ⁿ⁻¹⁾

Where;

a = The first term = 58,000

r = The common ratio = 1.03

n = The number of years

Therefore;

Offer A can be represented by an arithmetic series

Part B: The first year salary for offer B = $58,000

The salary on the second year, B₂ = 58,000 + 3,000 = 61,000

Salary on the third year, B₃ = 58,000 + 3000 + 3000 = 58,000 + 2 × 3,000

Therefore;

Salary on the nth year, Bₙ = 58,000 + (n - 1)×3,000

The above equation is in the form of aₙ = a + (n - 1)·d

Where;

a = The first term = 58,000

n = The number of years

d = The common difference = 3,000

Therefore;

Offer B can be represented by an arithmetic series

Part C: The income gained on offer A after 5 years, a₅, is given as follows;

a₅ = 58,000 × (1.03)⁽⁵ ⁻ ¹⁾ = 58,000 × 1.03⁴ ≈ 65,279.51098

The income gained on offer A after 5 years ≈ $65,279.51098

On offer B, we have;

a₅ = 58,000 + (5 - 1) × 3,000 = 70,000

The income gained on offer B after 5 years = $70,000

Therefore;

Learn more about arithmetic and geometric series here:

https://brainly.com/question/2735005

Answer:

5.83333333

Step-by-step explanation:

6x + 16 = 51 (If that is what you actually intended to put)

6x + 16 - 16 = 51 -16

6x/6 = 35/6

x=5.83333333

The maximum possible number of people on the train is 183.

Given that a train has 11 train cars, and at least 11 passengers are in each train car, and no 3 neighboring train cars have more than 50 passengers altogether, to determine what is the maximum possible number of people on the train, the following calculation must be done:

Therefore, the maximum possible number of people on the train is 183.

Learn more about quantities in https://brainly.com/question/21477139

Answer:

189

Step-by-step explanation:

Set up 11 slots on a piece of paper, to simplify since each car must have 11 cars we will be alternating 28,11,11 in a repeated pattern thus getting us 28,11,11,28,11,11,28,11,11,28,11 when you add them up you get 189

Answer:

Distance is 100 m

Step-by-step explanation:

From second equation of motion;

[tex]{ \rm{s = ut + \frac{1}{2} {at}^{2} }} \\ [/tex]

[tex]{ \rm{s = (0 \times 10) + ( \frac{1}{2} \times 2 \times {10}^{2}) }} \\ \\ { \rm{s = {10}^{2} }} \\ \\ { \rm{s = 100 \: {m} }}[/tex]

The distance covered is 200m

Data;

To find the distance covered by the object, we have to use the formula

of velocity. But we are not given the velocity or speed of the object here.

[tex]v = s/t[/tex]

where s and t are the distance and time respectively.

But from acceleration,

[tex]a = v/t\\v = a*t\\v = 2 * 10 \\v = 20m/s[/tex]

The velocity of the object is 20m/s

let's use this to find the distance covered.

[tex]v = s/t\\20 = s/10\\s = 20*10\\s= 200m\\[/tex]

The distance covered is 200m

Learn more on acceleration, distance, velocity and time here;

https://brainly.com/question/6078363

Using confidence interval concepts, it is found that Justin is wrong, as his interval is not symmetric about the sample proportion of 0.7.

In this problem, the point estimate is of 0.7.

Hence, Justin is wrong, as his interval is not symmetric about the sample proportion of 0.7.

For more on confidence intervals, you can check https://brainly.com/question/25822483

Answer:

1.41421356237

Step-by-step explanation:

After every decimal place value, or decimal point, there are infinite rows of invisible 0's

In 1.4, there are countless invisible 0's, which would look like this

1.40000000000000000...

Same for 1.41421356237

1.4142135623700000000...

So now, you can compare and see that 1.41421356237 has a 1 in the hundredths place, while 1.4 has a 0 in the hundredths place

Thus, 1.41421356237 is greater than 1.4

Answer: c

Step-by-step explanation: I JUST ANSWERED BOTH PARTs

Answer:

2 or more so it's be like 3 I guess he doesn't have the right for the tiger and in the heights block he it is a great game and to

"4% probability of their passing on a hereditary disease to 3 of their children"

I'm not sure if this means that the possibility of them passing the disease to one child is 4%, or if the probability of them passing the disease to the collective three children is 4%.

In case its the first one:

To make this a little easier, if you think about it the only possible way for the condition "at least one child will inherit the disease" to be untrue is if all 3 children do not have the disease. Therefore we just need to calculate the probability of all 3 children not having the disease.

if the chance of having the disease is 0.04, then the chance of not having it is 0.96

for three children: 0.96*0.96*0.96

=  0.884736

to find the chance of this not happening:

1 - 0.884736

= 0.115264 ≈ 12%

there is a 12 percent chance at least one of the children will inherit the disease

In case its the second one:

the probability of all 3 children having the disease is 0.04,

the probability of 1 child getting the disease is unknown, x.

this means

x*x*x = 0.04

x ≈ 0.342

now we just basically repeat the steps above

1 - 0.342

= 0.658 (probability that one child does not get the disease)

0.658 * 0.658 * 0.658

= 0.284890312 (probability that all 3 children do not get the disease)

1 - 0.284890312

= 0.715109688 ≈ 72%

there is a 72 percent chance at least one of the children will inherit the disease

Answer:

Step-by-step explanation:Move the decimal point in the divisor and dividend. ...

Place a decimal point in the quotient (the answer) directly above where the decimal point now appears in the dividend.

Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place.

Answer:

only{(0,0), (3,0), (5,0)}    (the x axis)

Step-by-step explanation:

as all the others have more than one possible output y for a unique input x

Answer:

4 1/6 hours

Step-by-step explanation:

2 1/2 + 1 2/3 = 25/6 = 4 1/6

Answer:

Step-by-step explanation:

Mistakes: The student did not distribute the 3 into 2, and the student did not distribute the 6 into negative 2. The student also left out the negative 2x in the first half of the equation.

Answer:

12

Step-by-step explanation:

8x+4x = 12x

-3+3= 0

12x+0=180

x=180/12

x=15

Answer:

24

Step-by-step explanation:

The number of soda bottles the machine can make  each minute is the unit rate, slope. To find slope using those two points, use the formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Identify the points: (2,48)  (7,168)

[tex]y_2=168[/tex]

[tex]y_1=48[/tex]

[tex]x_2=7[/tex]

[tex]x_1=2[/tex]

Plug these into the formula then solve:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{168-48}{7-2}[/tex]

[tex]=\frac{120}{5}[/tex]

[tex]=24[/tex]

The slope is 24, and therefore the unit rate. Hence, the machine can make 24 soda bottles each minute.

Simple way

Where you see the point at 48 and 2, it means [tex]\frac{48}{2}[/tex]. So divide

48 ÷ 2 = 24.

Answer:

He needs 8 health packs

Step-by-step explanation:

3x + 5 [tex]\geq[/tex] 29

3x [tex]\geq[/tex] 24

x [tex]\geq[/tex] 8

Answer:

Step-by-step explanation:

a² + b² = c²

12² + b² = 15²

b² = 225 - 144

b² = 81

b = 9

Answer:

$16

Step-by-step explanation 2 x 8 to 8 + 8 =16

Answer:

3 6/7

Step-by-step explanation:

Absolute value is the distance a number is away from 0 on a number line; another way of thinking about absolute value is that it is the positive version of every number. So, the absolute value of -1 is 1, and the absolute value of 88 is 88. We can apply this rule to 3 6/7 - how far is it away from 0 on the number line? What is it as a positive number? Well it is 3 6/7 away from 0 on the number line, and it already is positive, so our final answer will be 3 6/7.

Hopefully that's helpful! :)

[tex]|3\frac{6}{7}|=3\frac{6}{7} =\frac{27}{7}[/tex]

ok done. thank to me :>

Answer:

5/8

6/7

2/3

Step-by-step explanation:

Answer:

The relation which is a function is the one in which none of the first coordinates repeated.

Step-by-step explanation:

Answer:

  $900

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  I = PRT

  I = ($4500)(0.05)(4) = $900

The total interest was $900.

[tex]\large\tt\green{Answer}[/tex]

[tex]\large\tt\green{Step-by-step \: explanation}[/tex]

Step 1:

Put the numbers in the formula and do the arithmetic.

Step 2:

Rename 5% into decimal

Step 3:

Solve the problem with the full solution.

Therefore, the total interest was $900

Answer:

2/3 = 4/6 = 8/12

Step-by-step explanation:

Answer:

To round to the nearest 10,000, you look at the number immediately to the right. If this number is 5 or above, you add 1 to the column in question and zero all numbers to the right. If the number immediately to the right is 4 or less, you just zero all numbers to the right.

In this case, the 10,000 column is the column with the 1. The number immediately to the right is 2. This is 4 or less, so we set all numbers to the right of the 10,000 column to zero.

I get 10,000

Step-by-step explanation:

Answer:

[tex]\huge\boxed{t=\sqrt{\dfrac{2d}{a}}}[/tex]

Step-by-step explanation:

[tex]d=\dfrac{1}{2}at^2\\\\\dfrac{1}{2}at^2=d\qquad|\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup\cdot\dfrac{1}{2\!\!\!\!\diagup}at^2=2\cdot d\\\\at^2=2d\qquad|\text{divide both sides by}\ a\neq0\\\\\dfrac{a\!\!\!\!\diagup t^2}{a\!\!\!\!\diagup}=\dfrac{2d}{a}\\\\t^2=\dfrac{2d}{a}\to t=\sqrt{\dfrac{2d}{a}}[/tex]

[(15×2)+(15×2)]=60=6.0