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iren2701 [21]
3 years ago
5

Last year, Nahla opened an investment account with $5400. At the end of the year, the amount in the account had increased by 7.5

%. How much is this increase in dollars? How much money was in her account at the end of last year?
Mathematics
1 answer:
Inga [223]3 years ago
4 0

Answer:

Step-by-step explanation:

7.5% would be 405. Honestly to find it quickly, i took 10% of 5400,which is 540 and divided that by 4 to get 135 and multiply that by 3 to get 7.5%, which is 405 increase. to get the money total add 405 to 5400 to get 5805

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Mrs. Pahulick went to Super Buy to purchase the iPhone 12, which is typically $999.99. For one day only, it is on sale at a 15%
lana [24]

Answer:

$900.10

Step-by-step explanation:

15 percent of 999.99 = $849.15

(999 x 15)/100 = $149.85

849.15 with 6 percent sales tax is 900.10

4 0
3 years ago
What is 10:40 plus 7:15 in time?​
sp2606 [1]

Answer:

5:55

Step-by-step explanation:

10 plus 7 in time is 5 and 15 plus 40 is 55

4 0
2 years ago
Read 2 more answers
Hannah has another candle that is 14 cm tall. How fast must it burn in order to also be 6 cm tall after 4 hours? Explain your th
RideAnS [48]

Answer:

The candle must burn at 2cm per hour in order to be 6cm tall after 4 hours. I know this because the candle has to burn 8cm in 4 hours and that amounts to 2cm per hour.

Step-by-step explanation:

Lets solve!

We have to find out how much of the candle needs to be burned!

14cm - 6cm = 8cm

The candle must burn 8cm in 4 hours!

Lets find out how much the candle burns in 1 hour.

\frac{8cm}{4hours}= 2cm per hour

The candle must burn at 2cm per hour in order to be 6cm tall after 4 hours. I know this because the candle has to burn 8cm in 4 hours and that amounts to 2cm per hour.

Woohoo, We did it! <u>Would you like to mark my answer as brainliest?</u> I would love that!

6 0
3 years ago
How are unit circle and trigonometric functions related?
Kipish [7]

Answer: The unit circle contains values for sine, cosine, and tangent.

Step-by-step explanation: The coordinates on the unit circle are the sine ratio and cosine ratio. From this, the tangent, secant, cosecant, and cotangent can be found.

8 0
3 years ago
4TH TIME ASKING THIS!!! Please help me! Someone pleaseeee. I need the correct answers. I don’t want to fail
Alexeev081 [22]

Answer:

The functions are inverses; f(g(x)) = x ⇒ answer D

h^{-1}(x)=\sqrt{\frac{x+1}{3}} ⇒ answer D

Step-by-step explanation:

* <em>Lets explain how to find the inverse of a function</em>

- Let f(x) = y

- Exchange x and y

- Solve to find the new y

- The new y = f^{-1}(x)

* <em>Lets use these steps to solve the problems</em>

∵ f(x)=\sqrt{x-3}

∵ f(x) = y

∴ y=\sqrt{x-3}

- Exchange x and y

∴ x=\sqrt{y-3}

- Square the two sides

∴ x² = y - 3

- Add 3 to both sides

∴ x² + 3 = y

- Change y by f^{-1}(x)

∴ f^{-1}(x)=x^{2}+3

∵ g(x) = x² + 3

∴ f^{-1}(x)=g(x)

∴ <u><em>The functions are inverses to each other</em></u>

* <em>Now lets find f(g(x))</em>

- To find f(g(x)) substitute x in f(x) by g(x)

∵ f(x)=\sqrt{x-3}

∵ g(x) = x² + 3

∴ f(g(x))=\sqrt{(x^{2}+3)-3}=\sqrt{x^{2}+3-3}=\sqrt{x^{2}}=x

∴ <u><em>f(g(x)) = x</em></u>

∴ The functions are inverses; f(g(x)) = x

* <em>Lets find the inverse of h(x)</em>

∵ h(x) = 3x² - 1 where x ≥ 0

- Let h(x) = y

∴ y = 3x² - 1

- Exchange x and y

∴ x = 3y² - 1

- Add 1 to both sides

∴ x + 1 = 3y²

- Divide both sides by 3

∴ \frac{x + 1}{3}=y^{2}

- Take √ for both sides

∴ ± \sqrt{\frac{x+1}{3}}=y

∵ x ≥ 0

∴ We will chose the positive value of the square root

∴ \sqrt{\frac{x+1}{3}}=y

- replace y by h^{-1}(x)

∴ h^{-1}(x)=\sqrt{\frac{x+1}{3}}

4 0
3 years ago
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