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MissTica
3 years ago
15

What is the final amount if 1584 is decreased by 18% followed by a 19% increase?

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
3 0

Answer:

1,545.67

Step-by-step explanation:

step 1

if 1,584 is decreased by 18%

we know that

100\%-18\%=82\%=82/100=0.82

Multiply the number by 0.82

1,584(0.82)=1,298.88

step 2

The number 1,298.88 is increased by a 19%

we know that

100\%+19\%=119\%=119/100=1.19

Multiply the number by 1.19

1,298.88(1.19)=1,545.67

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6+n/5=9<br><br> What is happening to the variable? <br><br><br> How do you solve for the variable?
Svetradugi [14.3K]

Answer:

n=15

Step-by-step explanation:

(subtract 6 from both sides of the equation.)

6+n/5=9

6+n/5-6=9-6

(Now you will have to simplify.)

n/5=3

(You will have to multiply all terms by the same value to eliminate fraction denominators.)

n/5=3

5xn/5=5x3

(You will now have to simplify.)

n=15

And that's how you get your answer.

i hope this helps.      :)

7 0
2 years ago
The mean student loan debt for college graduates in Illinois is $30000 with a standard deviation of $9000. Suppose a random samp
Nataly [62]

Answer:

the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

Step-by-step explanation:

Given that:

Mean = 30000

Standard deviation = 9000

sample size = 100

The probability that the mean student loan debt for these people is between $31000 and $33000 can be computed as:

P(31000 < X < 33000) = P( X \leq 33000) - P (X \leq 31000)

P(31000 < X < 33000) = P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )- P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )

P(31000 < X < 33000) = P( Z \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )- P(Z \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )

P(31000 < X < 33000) = P( Z \leq \dfrac{3000}{\dfrac{9000}{10}}}) -P(Z \leq \dfrac{1000}{\dfrac{9000}{10}}})

P(31000 < X < 33000) = P( Z \leq 3.33)-P(Z \leq 1.11})

From Z tables:

P(31000 < X

P(31000 < X

Therefore; the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

8 0
3 years ago
Use the information in the diagram to find the length of segment AD. Round your answer to the nearest hundredth.
Lana71 [14]

Based on the lengths of the given triangles and the length of segment BD, the length of segment AD is 22.20.

<h3>What is the length of segment AD?</h3>

The triangle ABC is a right angled triangle with segment AB being the hypothenuse.

We can therefore find this length using the Pythagoras Rule:

Hypothenuse ² = a² + b²

Hypothenuse ² = 28.6² + 23.2²

Hypothenuse ² = 1,356.20

Hypothenuse = √1,356.20

= 36.83

Length of AD:
= AB - BD

= 36.83 - 14.60

= 22.2

Find out more on the Pythagorean theorem at brainly.com/question/343682.

#SPJ1

7 0
2 years ago
A peregrine falcon can fly 322 kilometers per hour. How many meters per hour can the falcon fly
erma4kov [3.2K]
<span>322,000 meters. Because there is 1,000 meters in a kilometer.</span>
3 0
3 years ago
Subtract -5x^2+7x+1 from 8x^2+x-10<br>I will give brainleist
marta [7]

Answer:

3x² + 8x - 9

Step-by-step explanation:

8x² - 5x² +x+7x-10+1

=3x² + 8x - 9

8 0
3 years ago
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