John recently purchased $4,106.00 worth of a stock that is expected to grow in value by 8% each year for the next ten years.Assuming this growth forecast holds, which function will show the value of John's stock in tyears?A(t) = 1.08(54,106)A(O) = 54,106(1.1)A(0) = 54,106(1.08)A(t) = $4,106(1.08)

Answer: 0

Step-by-step explanation:

c2+2c−24=0

An airplane has an airspeed of 528 mi/hr bearing 25⁰ west of north. The path can be described as a vector v =  (528 cos 115⁰) i + (528 sin 115⁰) j

Suppose we have a vector  with magnitude v and angle α with the positive x-axis, then the vector can be expressed as its component as:

vx = v cos α

vy = v sin α

or

v = vx i + vy j

v =  (v cos α) i +  (v sin α) j

In the given problem, the magnitude is 528, while the angle is:

α = 25⁰ west of north = 25⁰ + 90⁰ = 115⁰

Hence,

vx = 528 cos 115⁰

vy = 528 sin 115⁰

v =  (528 cos 115⁰) i + (528 sin 115⁰) j

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3 + 2 + 5/6

= 5 + 5/6

= 5 + 0.83 (convert 5/6 to decimal form)

= 5.83

Answer:

C

Step-by-step explanation:

9514 1404 393

Answer:

  Amir: 2/3

  Whitney: 1/4

Step-by-step explanation:

We can let w represent the fraction Whitney eats. Then the fraction Amir eats is (w+5/12). The total amount they eat is found by ...

  w + (w +5/12) + 1/12 = 1

  2w = 1/2 . . . . . subtract 6/12

  w = 1/4 . . . . fraction Whitney eats

  w+5/12 = 3/12 +5/12 = 8/12 = 2/3 . . . . fraction Amir eats

Answer:

Table of Annual CPI values

2003-184.00            

2004-188.90

2005-195.3

2006-201.6

2007-207.342

2008-215.303

2009-214.537

2010-218.056

2011-224.939

2012-229.594

2013-232.957

2014-236.736

QRINC offered new employees a starting salary of $34,862 in 2013. What would a comparable starting salary have been in 2003?

Answer:

Step-by-step explanation:

From the question we are told that

CPI for 2003(index)=2003-184.00  

CPI for 2013(index)=2013-232.957  

Starting salary in 2013 at $34,862

Generally  comparable starting salary C is given as

Therefore C the comparable starting salary is givrn to be

Step-by-step explanation:

g-1(x) = ex - 1 is the inverse οf the functiοn g(x) = lοg(x + 1) as taking away 1 frοm bοth sides .

A functiοn is a mathematical fοrmula that gives each input value in a set an individual οutput value. Tο put it anοther way, a functiοn is a cοnnectiοn between twο sets where each element in the first set (referred tο as the dοmain). There are several methοds tο express a functiοn, including with a graph, a table οf values, οr a fοrmula. Mοst frequently, a fοrmula οr equatiοn is used tο represent a functiοn.

We need tο sοlve fοr x in terms οf g in οrder tο derive the inverse functiοn g-1(x) οf g(x) = lοg(x + 1). (x).

We can expοnentiate bοth sides by starting with g(x) = lοg(x + 1) and using the definitiοn οf lοgarithms:

G(x) = lοg(x + 1) = e(x)

\(e^{(g(x))} = x + 1\)

Hence, by taking away 1 frοm bοth sides, we can isοlate x:

\(x = e^{(g(x))} - 1\)

Inverse functiοn g-1(x) is thus:

\(g-1(x) = e^x - 1\)

Hence, g-1(x) = ex - 1 is the inverse οf the functiοn g(x) = lοg(x + 1) as taking away 1 frοm bοth sides .

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Answer:

B

Step-by-step explanation:slope= (13-9)/(3-1) = 4/2 = 2

y-intercept= 9 - (2)(1) = 7

Answer:

225%

2*24=48, with 6 leftover. 6 is 25% of 24, so 200% (From when we multiplied 24 by 2) plus 25% (from the remainder) = 225%

Answer:

false

Step-by-step explanation:

f(x) is not a function. In order to be a function, every x can only be partnered up with one y.

In the diagram shown, 5 is partnered up with both 1 and also 3. If this info was written like points, the points (5,1) and (5,3) would both be on the list (and graph). This makes it not a function.

Because of the TWO arrows going from the 5 (and pointing at TWO DIFFERENT numbers), it's not a function.

Answer:

the answer is 126 cm

sana makatulong

Answer:

Answer is 7

Step-by-step explanation:

First put in ascending order

2,4,5,7,8,9,12

Then pick the middle number

Answer:

7

Step-by-step explanation:

Median: Middle number in a set

Step 1. Rearrange the numbers from least to greatest

Answer: 2, 4, 5, 7, 8, 9, 12

Step 2. Find the Median (middle number in the set)

Answer: 7

Answer:

the first and the second answer

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

This is correct believe me it is.

Answer:

x + 7

Step-by-step explanation:

3x + 2 - (2x - 5)

3x + 2 + (-2x + 5)

convert like terms

3x - 2x = x

2 + 5 = 7

so

x + 7 is your answer

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

The coordinate of point R after the rotation is determined as = ( - 4, 7).

option A.

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.

You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.

When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.

The initial coordinate of point R = ( 4, 7),

The new coordinate of point R after the rotation = ( - 4, 7)

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Answer:

Variables are used to represent an unknown quantity in a mathematical expression.

Step-by-step explanation:

The restrictions on the width is that it must be between 14.1 yards and 17.3 yards

From the question, we have the following parameters that can be used in our computation:

Area = between 240 yd² and 360 yd²

Also, we have

Length = 1.2 times the width

This means that

l = 1.2w

The area is then calculated as

Area = lw

So, we have

Area = 1.2w²

This means that

240 < 1.2w² < 360

Divide through by 1.2

200 < w² < 300

Take the square roots

14.14 < w < 17.32

Approximate

14.1 < w < 17.3

Hence, the width must be between 14.1 yards and 17.3 yards

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Statement Problem: How much did it snow in meters if it snowed 200 centimeters in one week during a huge snowstorm in the White Moutain last year?

Solution:

100 centimeters make 1 meter.

Hence, 200 centimeters would be;

The correct answer is 2m.

Answer:  median = 61

Reason:

A normal distribution is perfectly symmetric. Such distributions have mean = median = mode.

Answer:

y=2x-6

Step-by-step explanation:

y+4=-2(x-1)

Since the slope intercept form is in the form of:

y=mx+c

Making above equation in this form.

y+4=-2(x-1)

opening bracket

y+4=2x-2

subtracting both side by 4.

y+4-4=2x-2-4

y=2x-6

This equation is the slope intercept form.

Answer:

Exact Form:

x = 0, 1/4

Decimal Form:

x = 0, 0.25

Step-by-step explanation:

Step 1: Factor 3x^2 out of 12x^3 - 3x^2

Factor 3x^2 out of 12x^3:

3x^2 (4x) - 3x^2 = 0

Factor 3x^2 out of -3x^2:

3x^2 (4x) + 3x^2 (-1)  = 0

Factor 3x^2 out of -3x^2 (4x) + 3x^2 (-1) :

3x^2 (4x-1) = 0

Step 2: Divide each term by 3 and simpify

divide each term in 3x^2 (4x-1) = 0 by 3.

3x^2 (4x-1) / 3 = 0 / 3

simplify 3x^2 (4x-1) / 3.

Cancel the common factors.

3 x^2 (4x -1) / 3 = 0 / 3

divide x^2 (4x-1) by 1.

x^2 (4x-1) / 3 = 0 / 3

Apply the Distributive Property

Reorder.

Rewrite using the commutative property of multiplication.

4x^2 x + x^2 · -1 = 0 / 3

Move -1  to the left of  x^2

4x^2 x -1 · x^2  = 0 / 3

Simplify each term

multiply x^2 by x^2 by adding the exponents.

Move x

4 (x · x^2) -1 · x^2= 0 / 3

Multiply x by x^2

Rase x to the power of 1.

4 (x^1 · x^2) -1 · x^2= 0 / 3

Use the power rule a^m a^n = a^m+n to combine exponents

4x^1+2 -1 · x^2= 0 / 3

Add 1 and 2.

4x^3 -1 · x^2= 0 / 3

Rewrite -1x^2  as -x^2.

4x^3 -x^2= 0 / 3

Divide 0 by 3

4x^3 -x^2= 0

Step 3: Factor x^2 out of 4x^3 -x^2.

Factor x^2 out of 4x^3

x^2 (4x) -x^2 = 0

Factor x^2 out of -x^2

x^2 (4x) x^2 · -1 = 0

Factor x^2 out of x^2 (4x) x^2 · -1

x^2 (4x -1) = 0

If any individual factor on the left side of the equation is equal to 0,  the entire expression will be equal to  0

x^2 = 0

4x -1 = 0

Set x^2 equal to 0 and solve for x

x = 0

Set 4x -1 equal to 0 and solve for x

x = 1/4

The final solution is all the values that make x^2 (4x-1) = 0 true

x= (0, 1/4)

Answer:

A.

Step-by-step explanation:

Let's think of this as a clock.  We can see that the 2 lines start in the same place, around 3 o'clock.  Next, one of the line segments shifts down to around 6 o'clock.  Next, it shifts to about 9 o'clock.  Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.

We can also just use a regular circle, with one of the line segments moving 90 degrees each time.

Hope this helps! :)

Answer:

The original number is -22

Step-by-step explanation:

We'll label our mystery number x.

2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22

Plug in to confirm

-44 + 36 = -88/11S
8 = 8

Answer:

(A∩B)={1,15}

Step-by-step explanation:

Answer:

Therefore, the earliest time to take the next pill is after 10.85 hours and the latest time is before 15.14 hours have passed.

Step-by-step explanation:

The concentration of the drug in your system after ingesting 100.0 mg can be calculated using the formula:

C = D / V

where C is the concentration, D is the dose, and V is the volume of distribution (assumed to be constant).

At the initial time, t = 0, the concentration is:

C(0) = 100.0 mg / V

After one half-life, t = 16 hours, the concentration is:

C(16) = C(0) / 2 = 50.0 mg / V

After two half-lives, t = 32 hours, the concentration is:

C(32) = C(16) / 2 = 25.0 mg / V

After three half-lives, t = 48 hours, the concentration is:

C(48) = C(32) / 2 = 12.5 mg / V

To find the earliest and latest times to take the next 100.0 mg pill, we need to calculate the concentration at those times and make sure it stays between 20.0 mg and 140.0 mg.

Let's first find the earliest time at which the concentration drops below 20.0 mg.

20.0 mg / V = C(16 + x) = 50.0 mg / V / (2^(x/16))

Solving for x:

2^(x/16) = 50.0 / 20.0 = 2.5

x/16 = log2(2.5)

x = 16*log2(2.5) = 16*0.678 = 10.85

So the earliest time to take the next pill is after 10.85 hours.

Now let's find the latest time at which the concentration goes above 140.0 mg.

140.0 mg / V = C(16 + x) = 50.0 mg / V / (2^(x/16))

Solving for x:

2^(x/16) = 50.0 / 140.0 = 0.3571

x/16 = log2(0.3571)

x = 16*log2(0.3571) = -15.14

So the latest time to take the next pill is before 15.14 hours have passed.

The overlapping triangles which are congruent by ASA are ΔEBC and ΔADC which is therefore denoted as option C.

This is a scenario in which all three corresponding sides are equal and all the three corresponding angles are equal in measure.

Taking ΔEBC and ΔADC, we have the following below:

∠B=∠D (90°)

CB= CD (Given)

∠BCE=∠ACD( Common)

Therefore, by ASA we can deduce that,

Δ EBC ≅ΔADC.

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