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Alex777 [14]
2 years ago
11

Can someone help me! if something cost $4.90 due to a 14% discount what is the original price

Mathematics
2 answers:
Vlad [161]2 years ago
6 0

Answer:

$4.21

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 4.9 × 14/100

Discount = 4.9 x 0.14

You save = $0.69

Final Price = Original Price - Discount

Final Price = 4.9 - 0.686

Final Price = $4.21

trapecia [35]2 years ago
3 0
The answer is 4.21$. have a good day
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What is a formula for the nth term of the given sequence? 15, 24, 33
KatRina [158]

Answer:

The nth terms: 15,24,33,42,51,60,69,78,87,96,105...

Step-by-step explanation:

The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula

5 0
2 years ago
In the function f(x) = 4(x2 − 6x + ____) + 20, what number belongs in the blank to complete the square?
Shkiper50 [21]
Hello :
f(x) = 4(x2 − 6x + 3² - 3²____) + 20 = 4((x2 − 6x + 3²) - 3²____) + 20<span>
      = 4(x-3)² -36+20
</span>f(x) = 4(x-3)² -16 (vertex form)

6 0
2 years ago
6
irinina [24]
But, the y intercept is 2.
4 0
3 years ago
The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she d
aksik [14]

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

<h3 /><h3>Step 1</h3>

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

f(t)=\left \{ {{0 ,\-t

Consider the second function:

f(t)=\frac{e^{-t/\mu}}{\mu}\\

Where Average waiting time = μ = 2.5

The function f(t) becomes

f(t)=0.4e^{-0.4t}

<h3>Step 2</h3>

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt

which is equal to 0.01

<h3>Step 3</h3>

Solve the equation for x

\int\limits^{\infty}_x {0.4e^{-0.4t}} \, dt =0.01\\\\\frac{0.4e^{-0.4t}}{-0.4}=0.01\\\\-e^{-0.4t} |^\infty_x =0.01\\\\e^{-0.4x}=0.01

Take natural log on both sides

ln (e^{-0.4x})=ln(0.01)\\-0.4x=ln(0.01)\\-0.4x=-4.61\\x= 11.53

<h3>Results</h3>

The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger

3 0
2 years ago
What is 9/14 x 2 1/3!!!!
pshichka [43]
The answer is 11
Explaination:
9/14 multiple both numbers by 3=27/42
Break 2 1/3 into 2 and 1/3
1/3 multiple both numbers but 14=14/42
27/42 x 14/42 keep number on the bottom the same
27x14= 378
Divide 378/42=9
Add the 2 from 2 1/3 to the nine
2+9=11
8 0
2 years ago
Read 2 more answers
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