The price of an item has been reduced by 45%. The original price was $60. What is the price of the item now?

Traders often buy foreign currency in hope of making money when the currency's value changes. For example, on a particular day,

melamori03 [73]

Answer:

(a)f(x)=0.8869x

(b)g(x)=143.1126x

(c)g(f(x))=126.9266x

(d)g(f(1000))=126926.6 Yen

Step-by-step explanation:

Given on a particular day

One U.S. dollar could purchase 0.8869 Euros
One Euro could purchase 143.1126 yen

(a)If x represents the number of Dollars

Since one can purchase 0.8869 Euro with 1 USD, the function f(x) is a direct relationship where x is dollars and f(x) is in Euros.

f(x)=0.8869x

(b)If x represents the number of Euros

Since one can purchase 143.1126 yen with 1 Euros, the function g(x) is a direct relationship where x is Euros and g(x) is in Yen.

g(x)=143.1126x

(c)Given:

g(x)=143.1126x

f(x)=0.8869x

g(f(x))=143.1126(0.8869x)

g(f(x))=126.9266x

(d)g(f(1000))

g(f(x))=126.9266x

g(f(1000))=126.9266 X 1000 =126926.6 Yen

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=17%20%3C%209%20%2B%20%20x" id="TexFormula1" title="17 < 9 + x" alt="17 < 9 + x" align=

otez555 [7]

Answer:

8 < x

Step-by-step explanation:

Rearrange the expression by placing the like terms on either side of the sign

17 - 9 < x

Simplify

8 < x

6 0

2 years ago

Historically, these bolts have an average thickness of 10.1 mm. A recent random sample of 10 bolts yielded these thicknesses:

Akimi4 [234]

Answer:

a) Sample mean = 9.99

Sample standard deviation = 0.3348

b) -1.0389

c) 0.1631

Step-by-step explanation:

We are given the following in the question:

9.7, 9.9, 10.3, 10.1, 10.5, 9.4, 9.9, 10.1, 9.7, 10.3

a) sample mean and standard deviation

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{99.9}{10} = 9.99$

Sum of squares of differences = 1.009

$S.D = \sqrt{\dfrac{1.009}{9}} = 0.3348$

b) observed value of the t-statistic

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{9.99 - 10.1}{\frac{0.3348}{\sqrt{10}} } = -1.0389$

c) probability of these statistics (or worse) if the true mean were 10.1 mm

Degree of freedom = n - 1 = 9

Calculating the value from the table

$P(x < 9.99) = 0.1631$

0.1631 is the the probability of these statistics (or worse) if the true mean were 10.1 mm

8 0

3 years ago

The volume of clay used to build a cylindrical pillar with a height of 9 centimeters is 324 pi cubic centimeters. The area of th

Marta_Voda [28]

Answer:

36 (Fill 3 in the blank)

Step-by-step explanation:

Given:

Volume of a cylinder = 324 π

Height = 9 cm

The formula to find the volume of a cylinder = Base area * height.

Base is a circle. So the area of a circle = πr^2

Volume of the cylindrical pillar = πr^2 h

324 π = πr^2 . 9

πr^2 = 324 π /9

πr^2 = 36 π

The area of the base = 36 π

Thank you.

7 0

3 years ago

Read 2 more answers

3. A restaurant bill is $59 and you pay $72. What percentage gratuity did you pay?

Effectus [21]

Answer:

22.03%

Step-by-step explanation:

(72 - 59) / 59

13 / 59

22.03%

hope it helps :)

3 0

2 years ago

Read 2 more answers