The three tools the Federal Reserve uses to enact monetary policy are:

Final answer:

Yes, 0.91919191 can be written as a fraction. The fraction form is 91919191/9999999.

Explanation:

Yes, 0.91919191 can be written as a fraction. To convert a repeating decimal to a fraction, we can use the following steps:

Therefore, 0.91919191 can be written as the fraction 91919191/9999999.

area of shaded figure = l x w = 24 *18 = 432

 area of white square =  12*12 = 144

 area of shaded part = 432-144 = 288 m^2

Answer is A

Answer:

Option C is correct

(2, 1) ordered pair comes from the table

Step-by-step explanation:

Ordered pair  states that an ordered pair contains the coordinate of points in the coordinate plane in the form of (x, y)

Given the table:

X Y  

2 1  

3 4

4 4

5 2

Ordered pairs for this table are:

From the definition, we have;

(2, 1), (3, 4), (4, 4) and (5, 2)

Therefore, the only ordered pairs comes from the table is, (2, 1)

To answer problems like this you have to use binomial:

P (x > 1) = 1 – p (0 < x < 1) > .7 

So:

1 – p (0) – p (1) > .7 

1 – (3/ 4) ^n – (3/ 4) ^n (n – 1 ) (1/ 4) > .7 

Therefore n > 5.185, and the smallest value of n so that we can satisfy the given condition is 6 (rounded up)

Answer:

23

Step-by-step explanation:

volume of square pyramid = S^2*h/3

volume = 36

 h = 3

36 = S^2 *3/3

36 = S^2

S = sqrt(36)

S = 6

length of base = 6

Answer:

The represented function is :

[tex]f(x)=(\frac{1}{4})^{x-2}[/tex]

Step-by-step explanation:

[tex]1.\thinspace f(x)=(\frac{1}{4})^x +2[/tex]

And the equation must pass through (2,1) as given,

But, f(2) = 2.0625 ≠ 1 so this is not the required function.

[tex]2.\thinspace f(x)=(\frac{1}{4})^{x+2}[/tex]

And the equation must pass through (2,1) as given,

But, f(2) = 0.0039 ≠ 1 so this is not the required function.

[tex]3.\thinspace f(x)=(\frac{1}{4})^x -2[/tex]

And the equation must pass through (2,1) as given,

But, f(2) = -1.94 ≠ 1 so this is not the required function.

[tex]4.\thinspace f(x)=(\frac{1}{4})^{x-2}[/tex]

And the equation must pass through (2,1) as given,

We see, f(2) = 1  so this is the required function and the corresponding graph of the function is attached below :

Hence, The correct option is (4)

Answer:

A. 16 ounces/1 pound

Step-by-step explanation:

Remember that: 1 pound (lb) is equal to 16 Ounces (oz).

Then you have to find a ratio to convert 5.5 pounds to ounces.

If you write: 5.5 pounds, you have to find a ratio that eliminates pounds in order to get ounces:

5.5 pounds*16 ounces/1 pound

In this way pounds in the numerator is eliminated with pounds from the denominator and the result you get is in units of ounces.

5.5 pounds*16 ounces/1 pound=88 ounces

To convert 2.2 liters to cups, multiply by 4.22675. Rounded, it's approximately 9 cups. So, option C) [tex]$9$[/tex] cups is correct.

To find out how many cups 2.2 liters is equivalent to, we'll first convert liters to cups.

1 liter is approximately equal to 4.22675 cups.

So, to find out how many cups are equivalent to 2.2 liters:

[tex]\[ \text{Number of cups} = 2.2 \, \text{liters} \times 4.22675 \, \text{cups/liter} \][/tex]

[tex]\[ \text{Number of cups} \approx 9.29885 \, \text{cups} \][/tex]

Rounded to the nearest whole number, 2.2 liters of water is approximately equivalent to 9 cups. Therefore, the correct answer is:

C) [tex]$9$[/tex] cups

The correct question is:

Mary is 19 years old. She drinks the recommended intake of 2.2 liters of water and other beverages a day. About how many cups is this equivalent to?

A) 3 cups

B) 6 cups

C) 9 cups

D) 12 cups

Answer:

3540.00

Step-by-step explanation:

The given lines Y=(3/5)x -3 and 5y =3x-10 are examples of linear equations which, when solved, are found to be parallel due to their identical slope.

The lines given in the question are in the format y = mx + b, where 'm' is the slope and 'b' is the y-intercept. The equations are Y=(3/5)x -3 and 5y =3x-10. By comparing the coefficients, the slope of the first line is 3/5 and the y-intercept is -3. For the second equation, we first need to convert it into the 'y = mx + b' form. Dividing every term by 5 gives us y = (3/5)x - 2. Therefore, the slope of the second line is also 3/5 and the y-intercept is -2. Since both lines have the same slope, they are parallel lines.

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To find the distance, multiply the speed by the time for each leg of the trip and add them together to get the total distance of 735 miles.

To find the distance to the parcel of land, we can use the formula Distance = Speed x Time. Since the pilot flew out and back, we can calculate the distance for each leg of the trip and then add them together.

Distance going out = Speed x Time = 120 mph x (7/2) hours = 420 miles

Distance coming back = Speed x Time = 90 mph x (7/2) hours = 315 miles

Total distance = Distance going out + Distance coming back = 420 miles + 315 miles = 735 miles

1st year = 8000

2nd year = 8000 * 1.12 = 8960

3rd year = 8960*1.12 = 10035.20

4th year = 10035.20 * 1.12 = 11239.42

8000 + 8960 + 10035.20 + 11239.42 = 38234.62 round to $38,235

Answer:

$38,235 is needed.

Step-by-step explanation:

Given,

The cost of first year of college is $ 8000 and it is increasing by 12 % each year,

So, His first year's cost = $ 8000,

Second year's cost = 12 % more than the first year's cost = 112 % of first year's cost = 112 % of 8000 = 1.12 × 8000 = $ 8960,

Third year's cost = 112 % of second year's cost = 112 % of 8960 = 1.12 × 8960 = $ 10035.2

Fourth year's cost = 112% of third year's cost = 1.12 × 10035.2 = $ 11239.424

Hence, Total cost for four-year college education = 8000 + 8960 + 10035.2 + 11239.424 = $ 38234.624 ≈ $ 38235

⇒ $38,235 is needed.