15 Brainly Points:

The Scenario:
The Powerball Lottery jackpot reaches 1.5 billion dollars, and Jeffrey decides to spend some money each week on lottery tickets. He puts some money in a new bank account and withdrawals the same amount once a week to try his luck at winning the jackpot. After three straight weeks of no luck, Jeffrey has $205 left in his account. After twelve total weeks, he still hasn’t won a thing and has $160 left to spend.
Karen, on the other hand, knows the odds of winning are almost impossible, and decides to start a savings account instead at the same time as Jeffrey. Karen consistently deposits $7 each week into her account, and after seven weeks has a total savings of $89. Unfortunately, Karen’s account does not earn any interest due to the extremely low interest rate.
a) Write an equation that models how much money is in Jeffrey’s account at any given week. Show all work in the space below. You can type your work, or insert a picture of hand-written work.
b) Write an equation that models how much money is in Karen’s account at any given week. Show all work in the space below. You can type your work, or insert a picture of hand-written work
c) Show algebraically when Jeffrey and Karen will have the same amount of money in their accounts. Show all steps.
d) Show algebraically when Jeffrey will run out of money, assuming he never actually wins anything. Show all steps.

Answer:Selling Price = $115

Step-by-step explanation:

Selling price = Cost price + Profit

Cost price = $100

Profit = 15% = 15%  x 100 = $15

Selling Price = $100 + $15= $115

OR

Selling Price  =  Cost price + Profit

Selling Price =$100 + (15% of $100)

Selling Price = $100+ $15

= $115.

Answer:

For a trapezium of height H, parallel side 1 X, and parallel side 2 Y, the area is:

A = (1/2)*H*(X + Y)

with this we can complete the table.

a)

Here we know:

X = 7cm

Y = 11cm

H = 6cm

Then: A = (1/2)*6cm*(7cm + 11cm) = 54 cm^2

b)

Here we know:

X = 8 m

Y = 10 m

A = 126 m^2

Then:

126 m^2 = 0.5*H*(8m + 10m)

126 m^2 = H*9m

126 m^2/9m = H = 14m

Then the height of this trapezoid is 14m

c)

Here we know:

X = 5mm

H = 8mm

A = 72 mm^2

Then:

72 mm^2 = 0.5*8mm*(5mm + Y)

72 mm^2 = 4mm*(5mm + Y)

72mm^2/4mm = 5mm + Y

18 mm = 5mm + Y

18mm - 5mm = Y

13 mm = Y

Then the parallel side 2 is 13 mm long.

Answer:

$4.8

Step-by-step explanation:

$24×20/100=$4.8

Answer:

(x - 1)(3x + 2)

Step-by-step explanation:

By the Remainder theorem

Given expression is divisible by x - 1 then f(1) = 0

when divided by (x + 1) then f(- 1) = 2

when divided by x - 2 then f(2) = 8

Substitute x = 1, x = - 1, x = 2 into the expression , that is

a + b + c = 0 → (1)

a - b + c = 2 → (2)

4a + 2b + c = 8 → (3)

Subtract (1) from (2) to eliminate a and c

- 2b = 2 ( divide both sides by - 2 )

b = - 1

Subtract (1) from (3) to eliminate c

3a + b = 8 ← substitute b = - 1

3a - 1 = 8 ( add 1 to both sides )

3a = 9 ( divide both sides by 3 )

a = 3

Substitute a = 3, b = - 1 into (1) and evaluate for c

3 - 1 + c = 0

2 + c = 0 ( subtract 2 from both sides )

c = - 2

Then a = 3, b = - 1, c = - 2

Thus

ax² + bx + c

= 3x² - x - 2

= (x - 1)(3x + 2) ← in factored form

Answer:

35.1

Step-by-step explanation:

6.75x5.2=35.1

Step-by-step explanation:

Let f(x)=y

y=2x/X-5

y(x-5)=2x

xy-5y=2x

x(y-2)=5y

x=5y/y-2

Apply x=5y/y-2, on f(x)

f(5y/y-2)=2(5y/y-2)/[(5y/y-2)-5]

=(10y/y-2)/[(5y-5y+10)/y-2]

=10y/10

=y

So f^-1(x)=5y/y-2

Answer:

To solve 5n = 50, I would use the property of division.

To solve n/4 = 16, I would use the property of multiplication.

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

2 1/2

Step-by-step explanation:

3 1/3 = 10/3 = 20/6

20/6-5/6=15/6

15/6=5/2=2 1/2

Answer: substitution

Step-by-step explanation:

Substitute 3 in for x for all equations.

3(3)+4 = 13

8(3)-1 = 23

3(3)+4 =13

Add all of the sides together to find the perimeter

13+23+13 =49

Answer:

If its asking to translate by (-5,3) then the answer is the following.

A'(-2, 3)

B'(-1, 1)

C'(-4, 0)

Answer:

Answer is 50 m squared

Step-by-step explanation:

Answer:  32.5cm

Step-by-step explanation:

i hope this helps

Answer:3(3+5m)

Step-by-step explanation:

Answer: 16 different ways

Step-by-step explanation:

Answer:

The answer to this will be 35 because both equations have to equal 180 degrees

Step-by-step explanation:

Hope this Helped

3x = 9.2 ⇒ x = 2.02000606

Answer:

X=2.02

Step-by-step explanation:

Answer:

16.5 feet or

about 17 feet long.

Step-by-step explanation:

A = bh

Squares have equal side lengths all around so with there being 4 sides, you will take 66 and divide by 4.

66 ÷ 4 = 16.5

So it is about 17 feet

Easy :)

Quotient means dividing something by something else.

So,

Quotient of x and 3 is x3

If the question says Quotient of x and 3 minus 8 then you can write it as x3-8

[tex]\large\sf\red{thank \: you}[/tex]

Answer:

The answer is b =9

Step-by-step explanation:

20:12=15:b

5:3=15:b

cross multiply

5×b=3×15

5b=45

divide both sides by 5

b=45÷5

b=9

Answer:

b acute I think so ok but that was a weird quistoin

Answer:

16

Step-by-step explanation:

If the store sells 2 printers for every 5 computers

40/5 is 8. this means there are 8 sets of 5 computers

8x2 is 16 since for every 5computers, 2 printers are sold

Answer:

First one is 36 and second one is 324!!!

Answer:

none!

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Explanation: I searched up "what don't polynomials have"

Answer:

15

Step-by-step explanation:

Answer:

8.80

Step-by-step explanation:

Answer:

8.80

Step-by-step explanation:

The hundredths place is occupied by the 9.

First, drop the last 8.

8.79

Since the digit to the right of the dropped 9 is an 8, you round up.

8.79 becomes 8.80

Answer: 8.80

Answer:

C≈81.68

d Diameter

26

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·26≈81.68141

Step-by-step explanation:

Hope it is helpful.....

Answer:c=2 √1129 or c=−2 √1129

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

c^2=4516

Step 2: Take square root.

c=±√4516

c=2√1129 or c=−2√1129

Answer: I believe the answer is C.

Step-by-step explanation: In special case isosceles right triangles the hypotenuse is always equal to a · √2. With a=5√2 we can set up the equation 5√2 · √2 = 10.