Michael started a savings account with $300. After 4 weeks, he had $350 dollars, and after 9 weeks, he had $400. What is the rate of
change of money in his savings account per week?
Person to answer get prize
Pls help

Answer:

ANSWER

GIVEN:

OA= 3x-1 , OC= 5x-3, OD= 6x-5 , BO = 2x+1

AO/OC = BO/OD

[The diagonals of a Trapezium divide each other proportionally]

(3x-1)/(5x-3) =( 2x+1)/(6x-5)

(3x-1) (6x-5) = (5x-3) ( 2x+1)

3x(6x-5) -1 (6x-5) = 2x(5x-3)+1(5x-3)

18x² -15x -6x +5 = 10x² -6x +5x -3

18x² -21x +5 = 10x² - x -3

18x² -10x² -21x + x +5+3 =0

8x² - 20x +8= 0

4(2x² -5x +2) = 0

2x² -5x +2 = 0

2x² -4x -x +2= 0

[By factorization]

2x(x-2) -1(x-2)= 0

(2x-1) (x-2) = 0

(2x-1) = 0 or (x-2) = 0

x = ½ or x = 2

If we put x= ½ in OD , The value of OD is negative.

Hence, the value of is x = 2.

Step-by-step explanation:

1 =29 and 2=44...............

Answer:

the answer is 20

Answer:

1

Step-by-step explanation:

Answer:

The answer is:

2x + 30y^2 × 729^y

Answer:

Step-by-step explanation:

Given the profit a club makes after paying for the bank and other costs modeled by the function

p(t) = -16t^2 - 800t - 4000

t is the ticket price

The maximum profit occurs when dp/dx = 0.

dp/dx = -32t-800

since dp/dx

0 = -32t-800

32t = -800

t = -800/32

t = - 25

Hence ticket price gives the maximum profit is $-25

b) to get the maximum profit, substitute t = -25 into the modelled function

p(t) = -16t^2 - 800t - 4000

p(-25) = -16(-25)² - 800(-25)- 4000

p(-25) = -10000+20000-4000

p(-25) = 6000

Hence maximum profit is $6000

c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t

p(t) = -16t^2 - 800t - 4000

5000 = -16t^2 - 800t - 4000

-16t^2 - 800t - 4000 -5000 = 0

16t^2 + 800t + 9000 = 0

Answer:

Step-by-step explanation:

Given the profit a club makes after paying for the bank and other costs modeled by the function

p(t) = -16t^2 - 800t - 4000

t is the ticket price

The maximum profit occurs when dp/dx = 0.

dp/dx = -32t-800

since dp/dx

0 = -32t-800

32t = -800

t = -800/32

t = - 25

Hence ticket price gives the maximum profit is $-25

b) to get the maximum profit, substitute t = -25 into the modelled function

p(t) = -16t^2 - 800t - 4000

p(-25) = -16(-25)² - 800(-25)- 4000

p(-25) = -10000+20000-4000

p(-25) = 6000

Hence maximum profit is $6000

c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t

p(t) = -16t^2 - 800t - 4000

5000 = -16t^2 - 800t - 4000

-16t^2 - 800t - 4000 -5000 = 0

t^2 + 50t + 562.5= 0

Factorize

-50±√2500-4(562.5)/2

t = -50±√2500-2250)/2

t = -50±15.81/2

t = -65.81/2 and -34.19/2

t = -32.91 and -17.09

Answer:

10g+6 is the answer

Step-by-step explanation:

Answer:

The first option

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:2881

Step-by-step explanation:

Answer:

2881

Step-by-step explanation:

Answer:

$3900.71 is the amount of money subtracted from the next model

51099.29 is the cost of the second model

Step-by-step explanation:

Answer: 8 times more 8*2 1/2 = 20 pounds.

Step-by-step explanation: If 2.5 pounds cover 1/8 then simply multiply the 2.5 by 8, since you'll need 8/8. 8/8=1.

I hope this helps :)

Answer:

7921 is the correct answer

Answer:

7,291

Step-by-step explanation:

Just multiply. 89 x 89

Answer:

5.00

Step-by-step explanation:

Answer:

here you go

Step-by-step explanation:

Answer:

The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .

Step-by-step explanation: you couldnt have looked it up on ggle?...haha -_-'

Answer:

x = 11/5

Step-by-step explanation:

3-3x = -8x +14

5x = 11

x= 11/5

Step-by-step explanation:

is this a quadrilateral? or polygon or triangle?

what are the angles (I believe there should be at least an angle given) else PC can be any value that is positive

Answer:

10. 3 musicians

11. a) 10 feet

   b) can't read all of it

Step-by-step explanation:

Answer:

#10 should be 3

Step-by-step explanation:

The question is not complete, so i have attached it.

Answer:

Options A, B & E are correct

Step-by-step explanation:

In the synthetic division attached, we see that:

: 2 , -2 & -12 are the coefficient of the dividend of the function 2x² - 2x - 12

: The divisor is 3

Thus;

x = 3 is a root of f(x) = 2x² - 2x - 12

Thus, (x - 3) is a factor of the dividend which is the function f(x) = 2x² - 2x - 12

- Now, from the attached image, the coefficients of the quotient are 2 , 4

- The quotient will be 1 degree less than the dividend since it was divided by the factor (x - 3)

The degree of the dividend will be 2 since it contains x²

Thus, the degree of the quotient will be 1

Therefore, the quotient in factor form is (2x + 4)

Looking at the given statements in the options;

- Option A is true, because we have established earlier that 3 is a root of f(x) = 2x² - 2x - 12

- Option B is true because we have established that (x - 3) is a factor of 2x² - 2x - 12

- Option C is not true because the factor is (x + 3) and not (x - 3)

-Option D is not true because the root is 3 and not -3

- Option E is true because we have established that quotient as a factor is: (2x + 4)

Thus, the correct options are A , B , E

$14

you need to set up a preportion

if 5 lbs costs 8.75 then we need to figure out how much 8 lbs cost, obviously lol.

anyways what ya finna do is make a fraction

5                  8

---        =      ----

8.75             x

then u cross multiply. 8 x 8.75 = 70

70 = 5x

x= $14

Answer: 2/3 x +6

Step-by-step explanation:

slope is 2/3 and y intercept is 6

9514 1404 393

Answer:

  17

Step-by-step explanation:

The remaining amount of meat is ...

  6 1/2 - 2 1/4 = 4 1/4 = 17/4 . . . pounds

The number of 1/4 pound burgers that can be made with that amount of meat is ...

  (17/4)/(1/4) = 17/1 = 17

Mr. Stokes made 17 burgers.

Answer:

3n-1

Step-by-step explanation:

(4n+4) - (n+5)

i sperate it to be

4n-n and 4-5

so

3n-1 should be it

Answer:

7

Step-by-step explanation:

3 - -4=7

Answer:

Step-by-step explanation:

city A

city B

difference between the two cities = $281.25 - $246.713

                                                        = $34.54

The difference in cost between the two cities for a weekend trip will be $34.54.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Shamir is trying to decide between two cities to travel to for a weekend trip. The prices for a hotel room for two nights and the hotel tax rate are listed in the table.

City                Cost ($)             Tax rate

A                     $250                12.50%  

B                     $215                  14.75%

Then the difference in cost between the two cities for a weekend trip will be given as,

⇒ $250 × 1.1250 - $215 × 1.1475

⇒ $281.25 - $246.71

⇒ $34.54

The difference in cost between the two cities for a weekend trip will be $34.54.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ5

Answer:

Ten over two would be at the very right side of this number line. It would be located at the number 5. Negative nine over two would be located two segment or lines after negative five.

Step-by-step explanation:

Ten over two would come out to a positive and whole number of five. Negative nine over ten comes out so negative four wholes and one half. So this gets located two segments after negative five because it is not fully negative five but it is negative four and one half. I got these whole numbers by simplifying the numbers that we started off with. Hope you have an amazing day and do well on your assignments.

-Vizion

Answer:

477

Step-by-step explanation:

:)