What is the domain of f?

Answer: 766,000

Step-by-step explanation:

* To find the number rounded to the 100th place you would need a decimal. I am going to assume you meant the 100s place instead and answer based off that.

Answer:

The inverse of f exists

Step-by-step explanation:

Because f  is a function, then the function f  has an inverse

Problem 9

a = 500 = initial amount

b = 1+r/n = 1 + 0.034/52 = 1.000654 = approximate growth factor

The equation goes from [tex]y = a*b^x[/tex] to [tex]y = 500*1.000654^x[/tex] where x is the number of weeks and y is the account balance in dollars.

Plug in y = 700 and isolate x by using logarithms.

[tex]y = a*b^x\\\\y = 500*1.000654^x\\\\700 = 500*1.000654^x\\\\700/500 = 1.000654^x\\\\1.4 = 1.000654^x\\\\1.000654^x = 1.4\\\\\log(1.000654^x) = \log(1.4)\\\\x\log(1.000654) = \log(1.4)\\\\x = \log(1.4)/\log(1.000654)\\\\x = 514.652\\\\x = 515\\\\[/tex]

It takes about 515 weeks for the account balance to reach $700

This is equivalent to roughly 515/52 = 9.904 years

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Problem 10

The formula to calculate the monthly payment is not a simple exponential growth or decay function. I'm not sure how your teacher wanted you to answer this question. You'll have to get clarification on it.

If your teacher is asking something along the lines of "$240,000 is invested at a rate of 1.2% compounded bimonthly. How many years does it take to have the investment reach $300,000?" then you could follow these steps below.

a = 240,000 = initial amount

b = 1 + r/n = 1 + 0.012/24 = 1.0005 = growth factor

[tex]y = a*b^x\\\\y = 240000*1.0005^x\\\\300000 = 240000*1.0005^x\\\\240000*1.0005^x = 300000\\\\1.0005^x = 300000/240000\\\\[/tex]

[tex]1.0005^x = 1.25\\\\\log(1.0005^x) = \log(1.25)\\\\x\log(1.0005) = \log(1.25)\\\\x = \log(1.25)/\log(1.0005)\\\\x = 446.3987\\\\x = 446\\\\[/tex]

The x represents the number of bimonthly periods. There are 24 bimonthly periods in a year, which means it takes roughly 446/24 = 18.58 years for the starting balance of $240,000 to reach $300,000.

Keep in mind that the steps above are based on the assumption I made at the top of the problem. If that assumption is incorrect, then ignore the steps and answer entirely.

#9

[tex]\\ \rm\Rrightarrow P=P_o(1+r/n)^t[/tex]

we need t

[tex]\\ \rm\Rrightarrow P=500(1+0.034/52)^t[/tex]

[tex]\\ \rm\Rrightarrow 700=500(1+0.000654)^t[/tex]

[tex]\\ \rm\Rrightarrow 700=500(1.000654)^t[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{7}{5}=(1.000654)^t[/tex]

[tex]\\ \rm\Rrightarrow 1.4=1.000654^t[/tex]

[tex]\\ \rm\Rrightarrow log1.4=log1.000654^t[/tex]

[tex]\\ \rm\Rrightarrow log1.4=tlog1.000654[/tex]

[tex]\\ \rm\Rrightarrow t=\dfrac{log1.4}{1.000654}[/tex]

[tex]\\ \rm\Rrightarrow t\approx 514.6\approx 515weeks[/tex]

#2

[tex]\\ \rm\Rrightarrow P=240000(1+0.012/25)^t[/tex]

[tex]\\ \rm\Rrightarrow 300000=240000(1.0005)^t[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{5}{4}=(1.0005)^t[/tex]

[tex]\\ \rm\Rrightarrow 1.25=(1.0005)^t[/tex]

[tex]\\ \rm\Rrightarrow log1.25=log1.0005^t[/tex]

[tex]\\ \rm\Rrightarrow log1.25=tlog1.0005[/tex]

[tex]\\ \rm\Rrightarrow t=\dfrac{log1.25}{1.0005}[/tex]

[tex]\\ \rm\Rrightarrow t=446.4\approx 446[/tex]

Question is bit unclear to assume final units of time

Answer :

It is D because you have to subtract 4.73 from both sides in order to isolate the y by itself and get the answer which is 3.27

Step-by-step explanation:

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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the solution to the equation below?

y+4.73=8.0

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and how to Solve:-}}}}[/tex]

To solve it, simply subtract 4.73 from both sides:-

y=3.27 (Option D)

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Answer:

24

Step-by-step explanation:

you have to add them

Answer:

expand the equation

then make q the subject of the formal

Answer:

-35, 1493

Step-by-step explanation:

p(x) = 2x⁴ + 3x³ - 9x² + 16x + 13

p(-3) = 2(-3⁴) + 3(-3³) - 9(-3²) + 16(-3) + 13

-3² = 9

-3³ = -27

-3⁴ = 81

p(-3) = 2(81) + 3(-27) -9(9) - 48 + 13

p(-3) = 162 - 81 - 81 -48 + 13

81 + 81 = 162 therefore 162 - 81 - 81 cancels

-48 + 13 = -35

p(5) = 2(5⁴) + 3(5³) - 9(5²) + 16(5) + 13

5² = 25

5³ = 125

5⁴ = 625

p(5) = 2(625) + 3(125) - 9(25) + 80 + 13

p(5) = 1250 + 375 - 225 + 93

p(5) = 1250 + 150 + 93

p(5) = 1493

Answer:

C: strong

Step-by-step explanation:

Its basically asking if the line going through the points fits them. Parabolic would mean the trend line is a parabola, which its not. a parabola is a curved line. weak would mean it doesnt follow most of the points. strong would mean it does follow most of the points, which it does. negative, im guessing would mean it follows none and is completely separate from the points. hope this helps.

Answer:

Below in bold.

Step-by-step explanation:

f(x) = 1/2x^2 + 4x

Convert to vertex form:

f(x) = 1/2(x^2 + 8x)

= 1/2 [(x + 4)^2 - 16]

= 1/2(x + 4)^2 - 8    <------ Vertex form.

So the Vertex is at (-4, - 8).

Axis of symmetry is x = -4.

y -intercept (when x = 0) =  8-8 = 0.

Answer:

see explanation

Step-by-step explanation:

given a quadratic function in standard form

f(x) = ax² + bx + c ( a ≠ 0 ) , then

the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = [tex]\frac{1}{2}[/tex] x² + 4x ← is in standard form

with a = [tex]\frac{1}{2}[/tex] , b = 4 , c = 0 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{4}{1}[/tex] = - 4

substitute x = - 4 into f(x) for corresponding y- coordinate of vertex

f(- 4) = [tex]\frac{1}{2}[/tex] (- 4)² + 4(- 4) = [tex]\frac{1}{2}[/tex] × 16 - 16 = 8 - 16 = - 8

vertex = (- 4, - 8 )

the equation of the axis of symmetry is a vertical line passing through the vertex with equation

x = c ( c is the x- coordinate of the vertex ) , then equation of axis of symmetry is

x = - 4

to find the y- intercept substitute x = 0 into f(x)

f(0) = [tex]\frac{1}{2}[/tex] (0)² + 4(0) = 0 + 0 = 0

then y- intercept is 0

The difference, in euros, between the cost of the newspaper in France and the cost of the newspaper in England is 2.10 euros.

Exchange rate is the rate at which one currency is exchanged for another currency.

Cost of the newspaper in England in euros = 2.50 x 1.16 = 2.90

Difference in costs = 5 euros - 2.90 euros = 2.10 euros

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Answer:

240 cm

Step-by-step explanation:

18*12= 216

+

4*3*2= 24

216*24= 240

7293.16

Step-by-step explanation

42.7 x 2= 85.4, 85.4 ft to cubic feet = 7293.16

Answer:

$1890.57

Step-by-step explanation:

First we put the 70% on the original 1011, we can do this by multiplying 1011 by 1.7, now we have 1718.7

Now we put on the 10% tax on the new price, we can do this by multiplying 1718.7 by 1.1, now we get 1890.57

Therefore, the final retail price of the mower is $1890.57, respectively

Answer:

I think it b

Step-by-step explanation:

I had the same question

Answer:

555.94

Step-by-step explanation:

16 x 11 = 176/2

88

since there are two of the same triangle

88 x 2

176

11 is the radius

A = [tex]\pi[/tex][tex]x^{2}[/tex]

A = 3.14 ( pie is 3.14, if not then pi) x (11x11)

A = 3.14 x 121 (or 121[tex]\pi[/tex])

A = 379.94

379.94 + 176 (or 121pi + 176)

555.94

Answer:

I think the answer is 43.8

Answer:

198.4

Step-by-step explanation:

Right side is a rectangle   12.8 * 12.8 = 163.84 cm^2

Left side is triangle   area = 1/2 Base * height = 1/2 * 12.8 * (18.2-12.8) =

         34.56 cm^2

summed = 198.4  cm^2

Answer:

x=55 degrees

Step-by-step explanation:

Because triangle is 180 degrees,

35+90+y=180

y=55

Answer:

x = 55 degrees

Step-by-step explanation:

The angles in a triangle add up to 180 degrees. We are already given 2/3 of the angles that make up the triangle.

The two given angles are 35 degrees and 90 degrees (we got the ninty from the right angle)

We can add these given angles together and subtract them by 180 to find the measure of the missing angle:

35 + 90 = 125

180 - 125 = 55 degrees

The distance the brake anchor has to be placed away from the base of the ending tree so the just reach the tree is 40.31 feet.

From the information given, the height of the tree is given as 20ft. The brake anchor 35 feet from the base of the ending tree.

Therefore, the distance the brake anchor has to be placed away from the base of the ending tree so the just reach the tree will be:

d² = ✓20² + ✓35²

d² = ✓400 + 1225

d² = ✓1625

d = 40.31 feet.

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The number of rows of beans that are in the garden is 24 rows.

The first step is to convert feet to inches.

1 feet = 12 inches

30 x 12 = 360 inches

The second step is to divide 360 inches by 15 inches: 360 / 15 = 24 rows

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Answer:24

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

8 -> pizzas

12 -> hamburgers

14 -> pastas

6 -> steaks

40 = 8 + 12 + 14 + 6 -> total dishes

so the probability become from actual cases on total cases

so (8 / 40)

8/40 = 1/5 = 20/100 = 20%

Answer:

The accounting equation is a formula that shows the sum of a company’s liabilities and shareholders’ equity are equal to its total assets (Assets = Liabilities + Equity). The clear-cut relationship between a company’s liabilities, assets and equity are the backbone to double-entry bookkeeping. The source of a company’s accounting equation numbers is its balance sheet. Equity can be Shareholders’ Equity, Stockholders’ Equity, or Owner’s Equity.

Like other equations, if two terms of the basic accounting equation are known, you can solve for the third term. For example, Total Assets – Total Liabilities = Total Equity, or Total Assets – Total Equity = Total Liabilities. You move a term from the right side to the left side of the accounting equation by using a minus sign. 

Names meaning the same as Balance Sheet are Statement of Financial Position or Statement of Financial Condition. 

Answer:

>

Step-by-step explanation:

π / 3 is in radians.

Radian need to be converted into

degree ( ° ).

The value of in degree is 180°

π / 3 = 180 / 3 = 60°

60° > 30°

So,

( π / 3 ) > 30°

Work Shown:

Range = Max - Min

Range = Oldest - Youngest

Range = 35 - 6

Range = 29

The range of 29 is the gap between the youngest person and the oldest.

Answer No Can not help in I-Ready Diagnostic That really counts as cheating and its state law to help with Diagnostics.

Step-by-step explanation:

Answer:

29.3

Step-by-step explanation:

its avarage just add everthink and : to 10

Answer:

3/4

Step-by-step explanation:

(36÷12)/(48÷12).

g

Answer:

4001

Step-by-step explanation:

here you go hopw it helps you