MATHEMATICS HIGH SCHOOL

Akhtar gets a bonus of 20% of £70Karl gets a bonus of £26
Work out the difference between the bonus Akhtar gets and the bonus Karl gets.

Answers

Answer 1
Answer:

Answer:

Akhtar gets £12 less than the bonus Karl gets

Step-by-step explanation:

20% of £70 is £14

so, £14 - £26 = -£12
in conclusion, Akhtar gets £12 less than the bonus Karl gets
Answer 2
Answer:

Answer:

To find the difference between the bonus Akhtar gets and the bonus Karl gets, you can follow these steps:

Calculate Akhtar's bonus:

Akhtar's bonus is 20% of £70. To find this, multiply 20% (or 0.20 as a decimal) by £70:

Akhtar's bonus = 0.20 * £70 = £14

Calculate the difference between Akhtar's bonus and Karl's bonus:

Difference = Akhtar's bonus - Karl's bonus

Difference = £14 - £26

Now, subtract £26 from £14 to find the difference:

Difference = -£12

So, the difference between the bonus Akhtar gets and the bonus Karl gets is -£12. Since Akhtar's bonus is smaller than Karl's, the difference is negative, indicating that Karl receives a higher bonus than Akhtar.

Related Questions

What are the roots of the quadratic equation 0= 8x^2+14x ?
20pts What is the distance between (7, 3, 4) and (5, 2, 9)?Really need help!!!
If a baby is born at 6.6 lbs and 19 inches long, then what is the baby's weight in kg? Note (2.2 lb = 1 kg)Answer choices:A. 4.0 kgB. 3.0 kgC. 14.52 kgD. .33 kgE. 8.6 kg
What is 1/20 divided by 5/8?
An equation is shown below: -2c = pm2 - n Which equation is solved for m?

Explain your answerSimplify the difference.

(4w2 - 7w - 6) - (8w2 + 2w - 3)
Choose one answer.
a. -4w2 - 9w - 3
b. 12w2 + 9w + 3
c. -4w2 - 5w - 9
d. 12w2 - 5w - 9

Answers

(4w^2-7w-6)-(8w^2+2w-3)\n -(a\pm b)=-1(a\pm b)\ \ \ \ |use\ a\ distributive\ property: a(b\pm c)=ab\pm ac\n\n\=4w^2-7w-6-8w^2-2w-(-3)\n\n = 4w^2-7w-6-8w^2-2w-(-3)\n\n=(4w^2-8w^2)+(-7w-2w)+(-6+3)\n\n=\boxed{-4w^2-9w-3}
(4w² - 7w - 6) - (8w² + 2w - 3)
(4w² - 8w²) + (-7w - 2w) + (-6 + 3)
-4w² - 9w - 3
The answer is A.

Tickets to a school dance cost $4 and the projected attendance is 300 people. For every $0.10 increase in ticket price, the dance committee projects that attendance will decrease by 5.Using formula R(4+.10t) (300-5t) where t is ticket price.

Determine the dance committee's greatest possible revenue. (Please show work as in #'s)

What ticket price will produce the greatest revenue? (Please show work as in #'s)

Answers

money made (R) = tickets sold * price of ticket
the number of $0.10 increases we make will be called t. so:
price of ticket =  $4 + $0.10t
tickets sold = 300 - 5t
R = (4 + .10t)(300 - 5t)
R = 1200 + 10t - .5t^2
R = -1/2t^2 + 10t + 1200
to find the maximum, we have to find the roots of this function.
0 = -1/2t^2 + 10t + 1200
0 = -t^2 + 20t + 2400
0 = t^2 - 20t - 2400
quadratic formula
t = 20 +- sqrt((-20)^2 - 4(1)(-2400)) all over 2(1)
t = 20+-sqrt(400+9600) all over 2
t = 20+-sqrt(10000) all over 2
t = 20+-100 all over 2
t = -80/2 or t=120/2
t = -40 or 60
now find the average of these roots. this will find the "middle" of the parabola, which is where the vertex (maximum) will be.
-40 + 60 all over 2
20/2
10
the vertex is at t=10. plug this into the formula:
R = -1/2t^2 + 10t + 1200
R = -1/2(10)^2 + 10(10) + 1200
R = 50 + 100 + 1200
R = 1350
therefore, the number of 10 cent price increases should be 10, because that will lead to total profits of $1350, the maximum possible. the ticket price will be $5.

Savannah Bryan is career coach. Her biweekly salary is $3010. What is Savannah's annual salary

Answers

Answer:

Savannah's annual salary is $ 78260 .

Step-by-step explanation:

As given

Savannah Bryan is career coach.

Her biweekly salary is $3010.

Thus

One\ week\ salary = (Total\ salary)/(Number\ of\ months)

Here

Total salary = $3010

Number of months = 2

Put all the values in the above

One\ week\ salary = (3010)/(2)

One week salary = $ 1505

As there are 52 weeks are in one year .

Thus

Savannah's annual salary = Number of weeks in a year × One week salary

Put all the values in the above

Savannah's annual salary =  52 × $1505

                                          = $ 78260

Therefore Savannah's annual salary is $ 78260 .
$78,260 is her annual salary bi annually means ever two weeks and 52 weeks in a year so u divide 52 by two and mulitiply that by her biweekly salary

Find equivalent ways to rewrite the expression 6a^8÷3a^4​

Answers

Answer:

6a^8/3a^4= (6/3)= 2

a^8/a^4= a^4

2a^4

(6/3)(a^8/a^4)= 2a^4

(6/3)(a^(8-4))= 2a^4

Step-by-step explanation:

Lookattheattachedpicture⤴

Hopeitwillhelp...:)

Heather wants to make a 36% acid solution.She has already poured 3 fl. oz. of a 72%
acid solution into a beaker. How many fl.
oz. of a 9% acid solution must she add to
this to create the desired mixture?

Answers

Answer:

.72x + .27 = .36(x + 3)

Two lines, C and D, are represented by the equations given below:Line C: y = x + 14
Line D: y = 3x + 2

Which of the following shows the solution to the system of equations and explains why? (5 points)


(6, 20), because both lines pass through this point
(6, 20), because the point does not lie on any axis
(3, 11), because one of the lines passes through this point
(3, 11), because the point lies between the two axes

Answers

Given:
line C: y = x + 14
line D: y = 3x + 2

(6,20) or (3,11)

line C: y = 6 + 14 = 20  or y = 3 + 14 = 17
line D: y = 3(6) + 2 = 18 + 2 = 20   or  y = 3(3) + 2 = 9 + 2 = 11

(6,20), because both lines pass through this point.
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