If you want to buy an item in a store that costs $32.50 and is on sale for 30% off, then how much would the item actually cost you after the discount? Round to the nearest cent.​

Answer:

The correct answer should be:

[tex]y=\frac{1}{2}(e^3+1)\text{ or } y=\frac{e^3}{2}+\frac{1}{2}[/tex]

Step-by-step explanation:

We have the equation:

[tex]\ln(2y-1)=3[/tex]

Let’s remove the natural logarithm by raising both sides to e. This yields:

[tex]e^{\ln(2y-1)}=e^3[/tex]

The left will simplify to:

[tex]2y-1=e^3[/tex]

Add 1 to both sides:

[tex]2y=e^3+1[/tex]

Divide both sides by 2. So, the value of y should be:

[tex]y=\frac{1}{2}(e^3+1)[/tex]

Answer:

The correct answer is indeed y = [tex]\frac{e^3+1}{2}[/tex]

Step-by-step explanation:

I also took the test!

Answer:

1) y = 2x - 2

2) y = - x - 1

3) y = 2/3 x + 1

4) y = 4x - 4

5) y = 3x + 6

6) y = -3x -3

7) y = 3 - x

8) y = 4 - 4x

Answer:

3 mph

Step-by-step explanation:

To make 1/9 hour to 1 hour, you need to x9.

You can use this way:

Let the speed be x

(1/3)/(1/9)=x/1

1/9x=1/3

x=3

3mph

Hope is this useful :D

Answer:

18.75 bows

Step-by-step explanation:

This talented group of dogs has 25 yards of ribbon. They want to cut the ribbon to make bows and awards. If each piece of ribbon needs to be 3/4 of a yard, how many bows will they be able to make?

The total number of yards =25 yards

Each piece of ribbon = 3/4 of a yard

Hence, the number of bows they can make is:

3/4 × 25 yards

= 18.75 bows.

Answer:

-6 ?

Step-by-step explanation:

Answer: 3/5

Step-by-step explanation:

A=a+b/2h

Since the bottom width = 4 and the top length =2 and the length = 5

2+4=6

2(5)=10

so 6/10 = 3/5

Answer:

Sum of the first 70 terms is 12,775

Step-by-step explanation:

For the 9th term, the formula is;

a + 8d = 50

For the 12th

a + 11d = 65

Subtract this from the equation above;

3d = 15

d = 15/3 = 5

To get a, we have a + 8(5) = 50

a = 10

The 70th term

will be

a + 69d

= 10 + 69(5)

= 355

Sum of the first 70

= n/2(a + L)

= 70/2( 10 + 355)

= 35 * 365 = 12,775

Answer:

Auto Parts, Furniture and restaurant.

Step-by-step explanation:

if you add furniture and pharmacy or charity with restaurant, they equal 180. so the bigger one would be 120 as lines are parallel and this is a single straight line passing through.

Answer:

Step-by-step explanation:

Answer:

they both have a pattern and different shapes

Step-by-step explanation:

give me brainlest NOW

Answer:

455

Step-by-step explanation:

900-(35×13)=455

Step-by-step explanation:

-9.56 - (-1.235)

=-9.56+1.235

=-8.325

Answer:

A

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] → A

Answer:

x=24 y=9.8

Step-by-step explanation:

5y-23=3x

47+3x+2x+13=180

Answer:

Step-by-step explanation:

the question is not formatted well

A store charges $414 for a small refrigerator, the price consists of the refrigerator's original cost to the store plus a profit 15% what was the refrigerator's original cost to the store?

Step one:

given data

we are told that the price of the small refrigerator contains both the original price and 15% profit

mathematically

$414= original price + 15% profit

Step two:

let us solve for 15% of 414

=(15/100)*414

=0.15*414

=$62.1

This shows that the profit is $62.1

let the original price be x

$414= x + 62.1

solve for x

x=414-62.1

x=351.9

The refrigerator's original cost to the store $351.9

Given:

Joining fee = $28

Fee of each event = $4

To find:

Total cost for someone to attend 4 events.

Solution:

Let the number of events be x and total fee be y.

Fee for 1 event = $4

Fee for x events = $4x

Joining fee remains constant. So, the total fee is

[tex]y=28+4x[/tex]

Substitute x=4 in this equation.

[tex]y=28+4(4)[/tex]

[tex]y=28+16[/tex]

[tex]y=44[/tex]

Therefore, total cost of 4 events is $44.

Answer:

[tex]\huge\boxed{b=\dfrac{24}{5}\to b=4\dfrac{4}{5}\to b=4.8}[/tex]

Step-by-step explanation:

[tex]12=\dfrac{5}{2}b\to\dfrac{5}{2}b=12\qquad|\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup\cdot\dfrac{5}{2\!\!\!\!\diagup}b=12\cdot2\\\\5b=24\qquad|\text{divide both sides by 5}\\\\\dfrac{5b}{5}=\dfrac{24}{5}\\\\b=\dfrac{24}{5}\to b=4\dfrac{4}{5}\to b=4.8[/tex]

Answer:

$1.25 is the answer in my opinion

Answer:

Each child should pay $1.25

Step-by-step explanation:

$1.35 * 50 = $67.5

$67.5/54 = $1.25

Hey there!

If x = 48

48/4 = 12 because 12 • 4 equals 48

Answer: 12

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

x=8

Step-by-step explanation:

{x}{4}x=48

{x^2}{4}=48

{4x^2}{4}=48\

Answer:

Kindly check explanation

Step-by-step explanation:

Given the equations :

6.01 × □ = 601 No 0.305 × □ = 305 No 0.54 × □ = 540 No 0.097 × □ = 970 Yes

Will the number 103 will make each true?

601 / 6.01= 100 (No, not true)

305 / 0.305 = 1000 (No, not true)

540 / 0.54 = 100 (No, not true)

970 / 0.097 = 10000 (No, not true)

Hence, multiplying each of the equation above by 103 will not make any of the equations true.

Answer:

it looks like it would be 69% like the one below it

Step-by-step explanation:

Given :

There are 40 DuBois students going on a field trip.

Each one pays their teacher $8.75 to cover admission to the museum and lunch.

Admission for the students is $120 and each one gets an equal amount to spend on lunch.

To Find :

How much will each DuBois student be able to spend on lunch.

Solution :

Amount they paid for admission :

[tex]P =\$ \dfrac{120}{40}\\\\P=\$3[/tex]

Now, amount of money to spend on lunch is $8.75 - $3 = $5.75 .

Hence, this is the required solution.

Answer:

2.0864648e+15

Step-by-step explanation:

Answer:

Ok this is a long one 4,792,801,917.519956

Hope this helps! But is this for a class or were you just wondering?

Answer:

I believe it would be an acute triangle.

Answer:

3.2333 (repeated)

3.23 (rounded

Step-by-step explanation:

ADE is 1/3 of ABC so we just divide the perimeter by 3

9.7cm / 3 = 3.2333

This rounds to: 3.23