Suppose the Federal Reserve set the reserve requirement at 20%. Assume that banks lend all reserves that are not required to be held. Round the answers to two decimal places.

Answer:

The x-intercepts are [tex](2,0)[/tex] and [tex](-4,0)[/tex].

Step-by-step explanation:

We are given the equation

[tex]2(x+1)^2=18[/tex]

Begin by dividing both sides of the equation by 2:

[tex](x+1)^2=9[/tex]

Next, take the square root of both sides. Remember that there are two solutions to a square root, the positive and the negative root:

[tex]x+1=\pm3[/tex]

Split the equation into two based on the two solutions:

[tex]x+1=-3[/tex]

[tex]x+1=3[/tex]

Solve each equation by subtracting 1 from both sides:

[tex]x=-4\\ x=2[/tex]

Since the x-intercepts are the solutions to a quadratic, we know the solutions are (2,0) and (-4,0).

In this question we are provided with the length breadth and height and we are asked to find the surface area of the figure.

[tex] \small\bf{ Length = 16 \: inches } \\ \small\bf{Breadth = 7 \: inches} \\ \small\bf{Height = \: 9 \: inches} [/tex]

We know,

[tex] \pink\star \: \large\boxed{ \pink{ \rm{ Surface \: area = 2(lb + bh + hl)}}}[/tex]

Substituting the values we get

Surface area = 2(16 × 7 + 7 × 9 + 9 × 16)

= 2(112 + 63 + 144)

= 2(319)

= 638

Surface area = 638 inches².

Hey !

Find the surface area of cuboid .

The concept of this question belongs to surface areas of different three dimensional shapes . Whether they are cuboid , cube , cylinder , cone and many more .

[tex] \boxed{\sf{ \pink{Surface \: Area \: of \: cuboid=} \pink{2(lw + wh + hl)}}}[/tex]

Where ,

Substituting value in formula ,

[tex] \longmapsto \: 2 ((16 \times 7) + (7 \times 9) + 9 \times 16)[/tex]

Now ,

[tex] \longmapsto \: 2(112 + 63 + 144)[/tex]

Adding the values which are inside bracket ,

[tex] \longmapsto \: 2(319)[/tex]

Now multiplying 319 by 2 ,

[tex] \longmapsto \: \bold{ 638 \: inches {}^{2} }[/tex]

Therefore ,

[tex] \boxed{ \sf \pink{Surface \: area \: of cuboid = 638 \: in {}^{2} }}[/tex]

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Answer: About 800 thousand

The more accurate value is 807,528 but this is also an approximation.

=======================================================

Work Shown:

[tex]t = \text{number of years since the year 2000}[/tex]

[tex]P_0 = \text{population (in millions) in the year 2000}[/tex]

[tex]P = P_0(1.2)^t\\\\5 = P_0(1.2)^{10}\\\\5 \approx P_0*6.1917364224\\\\P_0 \approx \frac{5}{6.1917364224}\\\\P_0 \approx 0.80752791444922\\\\P_0 \approx 0.807528\\\\[/tex]

That's the rough population of wild pigs (in millions) for the year 2000.

Multiply by [tex]10^6[/tex] to get it in terms of units instead.

[tex]0.807528\times10^6 = 807,528[/tex]

There were roughly 800 thousand wild pigs in the year 2000.

Answer:

(x+10 (3x-45) is the answer of the question so easy

Answer:

x = 5

Step-by-step explanation:

Any number over 0 is undefined. Given that, the values of x that make this expression undefined make the denominator equal to 0

x - 5 = 0

x = 5

I hope this helps!

Answer:

(x - 5)(x - 7x)

Step-by-step explanation:

x - 12x + 35 = 0

x - 12x + 35 = 0

x - 5x - 7x + 35= 0

x ( x - 5) -7x(x + 5)

(x - 5)(x - 7x)

The median, upper and lower quartiles of the data set are:

Lower Quartile = 46

Median = 49

Upper Quartile = 90

The center value or middle value of a data set is the median.

Upper quartile (Q3) is the center or middle data point of the second half of a data set.

Upper quartile (Q3) is the center or middle data point of the second half of a data set.

Order the data set given as:

32, 46, 49, 49, 77, 90, 96

Lower Quartile = 32, (46), 49, 49, 77, 90, 96 = 46

Median = 32, 46, 49, (49,) 77, 90, 96 = 49

Upper Quartile = 32, 46, 49, 49, 77, (90,) 96 = 90

Learn more about the Median, Upper and Lower Quartiles on:

https://brainly.com/question/15572643

Answer:

15

Step-by-step explanation:

hope this helps

Answer:

$600

Step-by-step explanation:

This can be modeled as an exponential equation.

General form of an exponential function: [tex]y=ab^x[/tex]

where:

Therefore:

[tex]\implies 75=a(0.5)^3[/tex]

[tex]\implies 75=0.125a[/tex]

[tex]\implies a=\dfrac{75}{0.125}[/tex]

[tex]\implies a=600[/tex]

Therefore, the computer initially cost $600.

Answer:

Emily is now 12.

Jacob is now 16.

Step-by-step explanation:

since Emily is 4yrs younger than Jacob, let Jacob be x and Emily be (x - 4) yrs.

eight yrs ago: Emily is ( x-4-8) = ( x - 12)

Jacob is ( x - 8)

Emily was half Jacob's age: so, we have to balance the ages by either multiplying Emily's age by 2 or dividing Jacob's age by 2. ( I multiplied by 2)

2( x - 12) = x - 8

2x - 24 = x - 8............ Bring the like terms together and solve for x

x = 16, which is Jacob's current age

Emily ( x - 4) = 12 yrs

Answer:

1100 units³

First calculate the Base Area:

parallelogram area:

Base * Height

11 * 10

110 units²

Volume:

Base Area * Length

110 * 10

1100 units³

Answer:

volume = 1100 cm³

Step-by-step explanation:

[tex]\textsf{Volume of an oblique rectangular prism}=l \cdot w \cdot h[/tex]

where:

Given:

Substituting the given values into the formula:

[tex]\implies \textsf{Volume}=11 \cdot 10 \cdot 10 = 1100\: \sf cm^3[/tex]

Answer:

Soln:

Step-by-step explanation:

Here,

Base(b) =9

Opposite/Perpendicular (p)= x

Hypotenus (h) = 24

We know,

(p)^2 = (h)^2 - (b)^2

(x)^2 = (24)^2 - (9)^2

x^2 = 576 - 81

x^2 = 495

x = root under 495

Answer:

1- 22.2486  2- No

Step-by-step explanation:
1:

[tex]b = \sqrt{ c^{2}- a^{2}[/tex]

C is the hypotenuse, or longest side of the triangle (24).

A is the one length we have besides the hypotenuse(9).

[tex]b = \sqrt{ 24^{2}- 9^{2}[/tex]

b = 22.2486

2:
No, because if it was a Pythagorean triple, it would follow the equation [tex]a^{2} +b^{2} =c^{2}[/tex].

[tex]9^{2} + 22.2485^{2} \neq 24^{2}[/tex].

The surface area of the right prism with an isosceles triangle base is 720 inches squared.

surface area = bh + l(x + y + z)

where

Therefore,

b = 24 inches

h = 5 inches

x = 13 inches

y = 13 inches

z = 24 inches

l = 12 inches

Surface area = 24 × 5 + 12(13 + 13 + 24)

Surface area = 120 + 12(50)

Surface area = 120 + 600

Surface area = 720 inches²

learn more on surface area here: https://brainly.com/question/2835293

Answer:

- 3

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (4, - 3 ) , then

y = a(x - 4)² - 3

to find a substitute x = 5, y = - 6 into the equation

- 6 = a(5 - 4)² - 3 ( add 3 to both sides )

- 3 = a(1)² = a

y = - 3(x - 4)² - 3 ← expand factor using FOIL

y = - 3(x² - 8x + 16) - 3

  = - 3x² + 24x - 48 - 3

  = - 3x² - 24x - 51 ← in standard form

coefficient of the x² term is - 3

Using the z-distribution, it is found that the 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The sample size and the estimate are given by:

[tex]n = 161, \pi = \frac{37}{161} = 0.2298[/tex]

Hence:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 - 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.1648[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 + 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.2948[/tex]

The 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

More can be learned about the z-distribution at https://brainly.com/question/25890103

Ths solubility curve can be used to obtain the amount of salt dissolved (solubility).

The solubility curve is a plot of the solubility of a substance against the temperature. It serves the purpose of being used to show the solubility of a susbtance at different temperatures. This question is incomplete hence we can not be able to deduce the solubility of the salt at this temperature.

If the solubility curve has been ploted, then we can be able to estimate the solubility of the salt from the graph.

Learn more about solubility curve: https://brainly.com/question/9537462

Answer:

get a book from shop and draw with ruler and write the numbers too

Answer:

Volume of cube is width times length times height. So it's simply 1 unit × 1 unit × 1 unit = 1 unit³. Final answer: 1 unit³ (or 1 cubed unit).

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

multiply the length, width, and the height for the answer

is this is right please make it brainlyest!

Reason:

Choices A through C all result in 8/3 = 2.667 approximately

In contrast, choice D becomes 2/3 + 4/3 = (2+4)/3 = 6/3 = 2; showing that choice D is not equivalent to choices A through C.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$530000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases} \\\\\\ A=530000\left(1+\frac{0.04}{4}\right)^{4\cdot t}\implies A=530000(1.01)^{4t} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{after 12 years}}{t=12}\implies A=530000(1.01)^{4(12)}\implies A=530000(1.01)^{48} \\\\\\ A\approx 854479.82~\hfill \underset{\textit{interest in the account}}{\stackrel{854479.82~~ - ~~530000}{\approx 324479.82}}[/tex]

He can find the area of the individual shapes the backyard is made up of, then take the sum.

A composite figure is made up of different shapes and hence their area might be difficult to determine.

In order to determine the area of such a complex shape, the area of the individual shapes is first determined and then sum up. The sum of their areas will give  the area of the composite figure

For your neighbour, he can find the area of the individual shapes the backyard is made up of, then take the sum.

Learn more on area of composite figure here: https://brainly.com/question/21135654

Answer: TThere is no picture

Step-by-step explanation:

Answer:

1. 3/20    

2. 76/4

3. 16

4. 1/8

5. 11/1

6. 2.5/1

7. 13/1

8. 255/1

9. 20, 140, 240

10. 3.5, 17.5, 31.5

11. 12

12. 2      

Answer:

  7.2 meters

Step-by-step explanation:

Similar triangles have linear dimensions that are proportional. The ratio of heights will be the same as the ratio of permeters:

  h/(12 m) = 3/5 . . . . . . . small/large

  h = (3/5)(12 m) = 7.2 m . . . . . . multiply by 12 m

The height of the smaller triangle is 7.2 meters.

Answer:

s = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

s = ut + [tex]\frac{1}{2}[/tex] at² ( substitute the given values into the equation )

s = ( 3 × [tex]\frac{1}{3}[/tex] ) + ( [tex]\frac{1}{2}[/tex] × - 12 × ([tex]\frac{1}{3}[/tex] )² )

  = 1 + (- 6 × [tex]\frac{1}{9}[/tex] )

  = 1 + ( - [tex]\frac{2}{3}[/tex] )

  = 1 - [tex]\frac{2}{3}[/tex]

  = [tex]\frac{1}{3}[/tex]

Answer:

[tex] \hookrightarrow \: u = 3 || \: a = - 12 \: || t = \frac{1}{3} \\ \hookrightarrow \: s = ut + \frac{1}{2} a {t}^{2} \\ \hookrightarrow \: s =3 \times \frac{1}{3} + \frac{1}{2} \times - 12 \times (\frac{1}{3} )^{2} \\ \hookrightarrow \: s =1 - \frac{2}{3} \\ \hookrightarrow \: s = \frac{1}{3} [/tex]

Answer:

The distance is 20 units

Step-by-step explanation:

Answer:

15.9375

Step-by-step explanation:

Just divide the number of miles over the number of gallons.

Answer:

  (b)  cos(3π/10)

Step-by-step explanation:

The given expression matches the trig identity form for the cosine of the difference of two angles:

  cos(α-β) = cos(α)cos(β) +sin(α)sin(β)

__

To match the given expression exactly, we can choose ...

  α = π/2

  β = π/5

Then the difference is ...

  α -β = π/2 -π/5 = (5/10)π -(2/10)π = 3π/10

The given expression can be shortened to ...

  cos(3π/10)

__

Additional comment

Sometimes it can be difficult to remember when the signs in trig identities match, and when they differ. The fact that cosines of smaller angles have larger values can be a peg on which to hang that hat.

Answer:

2 5/7

Step-by-step explanation:

First we need to make the 4 2/7 top heavy so it is easier to subtract :)

4 2/7 = 3 9/7

Now we can subtract :)

3 9/7 - 1 4/7 = 2 5/7

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

The answer is 2 5/7

Step-by-step explanation:

Answer:

  sh.299,449.72

Step-by-step explanation:

The future value of an ordinary annuity with annual payments P earning interest rate r compounded annually for t years is ...

  FV = P((1+r)^t -1)/r

For the given numbers, the future value is ...

  FV = sh.25000(1.07^9 -1)/0.07 ≈ sh.299,449.72