James is contemplating an investment opportunity represented by the function A(t)=P(1.06)t, where P is the initial amount of the investment, and t is the time in years. If James invests $5000, what is the average rate of change in dollars per year (rounded to the nearest dollar) between years 15 and 20?

Enter your answer as a number, like this: 42

Answers

Answer 1

Answer:

Rate of change per year = $5300

Step-by-step explanation:

Step 1: Substitute the variable P for the invested amount

    1. A(t) = 5000(1.06)t

    2. A(t) = (5300)t

Step 2: Substitute the variable t for the first 15 years

    1. A(15) = (5300)(15)

    2. A(15) = 79,500

Step 3: Substitute the variable t for the 20 years

    1. A(20) = (5300)(20)

    2. A(20) = 106,000

Step 4: Find your two ordered pairs and relation

    First ordered pair: (15, 79,500)

    Second ordered pair: (20, 106,000)

    Relation: {(15, 79,500), (20, 106,000)}

Step 5: Find the slope or rate of change between 15 and 20 years

    Let (y₁, x₁) = (15, 79,500)

   

    Let (y₂, x₂) = (20, 106,000)

    1. Use the slope expression: y₂ - y₁/x₂ - x₁

    2. Substitute the correct values into the expression:

         106,000 - 79,500/20 - 15

    3. Simplify: 26500/5 = 5300

    4. Hence, the rate of change in dollars per year is $5300


Related Questions

there are two boxes containing only purple and yellow pens.
Box A has 5 yellow pens and 15 purple pens
Box B has 4 yellow pens and 4 purple pens.

event1: choosing a purple pen from box B.
event 2 :choosing a yellow pen from box A.
event 3: choosing yellow or purple from Box B
event4 : choosing a purple pen from Box A

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Answer:

I'm not sure what the question is asking here

If a = 7^x , b = 7^y and a^yb^x = 49 show that xy = ​

Answers

I hope this helps you :)

7/10 • 2/9 + 2/3
thank you!

Answers

Answer:

37/45

Step-by-step explanation:

first you do 7/10 times 2/9 which you get 7/45 then you add 2/3 so the answer is 37/45

i rlly need one last brainliest please mark!

Answer:

37/45

Step-by-step explanation:

7/10 • 2/9 + 2/3

7/5 • 1/9 + 2/3

7/45 + 2/3

21/135 + 90/135

111/135

37/45

Hope this helps!

You pick a card at random, put it back, and then pick another card at random.

2
3
4
5


What is the probability of picking a 3 and then picking a 3?

Answers

Answer:

0%

Step-by-step explanation:

Don't quote me on that but I'm pretty sure

Dave wants to buy 5 games, 10 Funko Pops, and 6 toys. He was $2,614 .If each game is $50, each Funko Pop is $30, and each toy is $40. How much money does Dave have left?

Answers

x = games
y = funk pops
z = toys

50x + 30y + 40z = total

50(5) + 30(10) + 40(6) = total
250 + 300 + 240 = 790

so then he has $2,614

2614 - 790 = 1824

he has $1,824 left.



Answer:

$1,824

Step-by-step explanation:

Games Dave wants to buy: 5

Cost of each game: $50

Cost of 5 games = $50 x 5

= $250

Funko pops Dave wants to buy: 10

Cost of each funko pop: $30

Cost of 10 funko pops = $30 x 10

= $300

Toys Dave wants to buy: 6

Cost of each toy: $40

Cost of 6 toys = $40 x 6

= $240

Sum of all Dave's things = ($250 + $300 + $240)

= $790

Money Dave has = $2,614

Money left with him = ($2,614 - $790)

= $1,824

Hence, $1,824 are left with Dave after buying 5 games, 10 Funko pops and 6 toys.

Pls correct me, if I am wrong :)

Have a great day!

Thanks!

Help to solve quadratic formula and round to nearest hundredth

Answers

Answer:

x1 = 2.86

x2 = -0.53

Step-by-step explanation:

[tex]a=6, b=-4, c=-9[/tex]

[tex]x=\frac{-(-14)+-\sqrt{(-14)^{2}-4(6)(-9) } }{2(6)}[/tex]

[tex]x=\frac{14+-\sqrt{412} }{6}[/tex]

[tex]x=\frac{14+-20.3}{12}[/tex]

[tex]x_{1} =\frac{14+20.3}{12} =2.86[/tex]

[tex]x_{2} =\frac{14-20.3}{12} =-0.525[/tex]

Hope this helps

What is the equation?

Answers

I had the same math and it’s pretty complicated

Consider the equation - 2x + 3y = 6
Part A: Write the equation in slope-intercept form.
Part B: Identify the y-intercept.
Part C: Identify the slope.

Answers

Step-by-step explanation:

Hey there!

The given equation is: - 2x + 3y = 6

Part A:

The slope intercept form equation is: y= mx+c.

So, make the equation in y= mx+c form.

- 2x + 3y = 6

Shift -2x right side;

3y = 6+2x

Divide both sides by 3.

y = (6+2x)/3

y = (2/3)x +2

Therefore, the required equation in slope intercept form is: y = (2/3)x +2.

Part B:

When the equation is in y= mx+c form "c" represents the y-intercept.

So, y-intercept is 2.

Part C:

From the equation y = (2/3)x +2,

The slope (m) = 2/3.

Hope it helps!

Find the slope please I need help

Answers

to get the slope of any straight line we only need two points off of it, let's use the ones in the picture below.

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-1)}}}\implies \cfrac{-10}{4+1}\implies \cfrac{-10}{5}\implies -2[/tex]

which stituation could be modeled by the expression -12x 1/3

Answers

Answer:

[tex]-4[/tex]

Alternative forms:

[tex]-2^{2}[/tex]

Step-by-step explanation:

[tex]-12[/tex] × [tex]\frac{1}{3}[/tex]

Cross out the common factor:

[tex]-4[/tex]

The amount of time it takes Oliver to run his trains around the toy railroad track is directly proportional to the number of trains that he is playing with. If it takes him a minutes to run c trains around the track, how many trains, in terms of a and c, is he playing with if it took him 20 minutes?

A) 20ac
B) 20a/c
C) 20c/a
D) a/c

Answers

Answer:

A)20ac because if it takes him a minutes to run

Graph the line that passes through the points (2,5) and (-1, –4) and determine
the equation of the line.

Answers

Answer:

ask a brainly person to help.

Step-by-step explanation:

i am stuk to

Solve the following equations

3y" + 2y'= 0

Answers

Answer:

the first one is _2

second one is 3

ABC and PQR are similar. Find the missing side length.

Answers

I believe it is 6 for ac

Help 10 points. Please

Answers

Answer:

x has to be greater than 0

Step-by-step explanation:

It basically shows you that based on the inequality sign.

Answer:

x solved is 0 < x

and graphing it on the number line

-1  0  1

    O->

Step-by-step explanation:

So, solving for x is easy you divide the 2 from 2x onto the other side and 0/2 is 0 meaning 0 < x, the < stays the same as you divided with a positive and it would start at 0 and the line would go to the right as 0 is less than x. if you have to it would be a open circle with a dotted line if deltamath makes you do that too.

What is the slope of the line that passes through the points (0, -8)(0,−8) and (0, -10)(0,−10)? Write your answer in simplest form.

Answers

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-10}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-10}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{0}}}\implies \cfrac{-10+8}{0}\implies \cfrac{-2}{0}\implies und efined[/tex]

The slope of a given line is -2/0.

The given points are (0, -8) and (0, -10).

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

We know that, slope m = (y2-y1)/(x2-x1)

Put (x1, y1) = (0, -8) and (x2, y2)=(0, -10) in slope formula

That is, (-10-(-8))/(0-0)

= -2/0

= not defined

Therefore, the slope of a given line is -2/0.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ5

What is 2*log(3)? Expanded and get the exact answer.

Answers

I write at paper,hope it helps

Please answer the question that is in the image.

Answers

Answer:

12*6*2+

15*6*2+

15*12=

504

Hope This Helps!!!

Answer:

504 sq.in.

Step-by-step explanation:

Given,

Edges of a box = 12 in. , 15 in. , 6 in.

So,

Lateral Surface Area (LSA) of the box

= 2 (l + b) h

[On substituting their values]

= [2 (12 + 15) × 6 ] [tex]in^{2}[/tex]

[On simplifying]

= [2 × 27 × 6] [tex]in^{2}[/tex]

On multiplying]

= 324[tex]in^{2}[/tex]

And,

Base area of the box

= l × b

[On substituting the values]

= (12 × 15) [tex]in^{2}[/tex]

[On multiplying]

=  180 [tex]in^{2}[/tex]

Therefore,

Total area painted by Agnes leaving the top of the box

= LSA of the box + Base area of the box

[On putting their values]

= 324[tex]in^{2}[/tex] + 180 [tex]in^{2}[/tex]

[On adding]

= 504[tex]in^{2}[/tex]

Hence,

The total area painted is 504[tex]in^{2}[/tex] (Ans)

54 is what percent of 24?

Enter your answer in the box.
I did my work and got the answer but I am just checking. I will give 18 points.

Answers

Answer:

225%

Step-by-step explanation:

54 = 24 of x

54 = .24x

Divide both side by the same number

54/.24 = .24x/.24

= 225%

[RevyBreeze]

Expand.
Your answer should be a polynomial in standard form.
(-p? - 4p - 3)(p2 + 2)

Answers

Answer: Here is the answer.

Step-by-step explanation: we have to multiply each of the terms with the other terms.

=(-p²+4p-3)(p²+2)

=-p²*p²+ ( -p²*2) + 4p*p² + 4p*2 - 3*p²+ ( -3*2)

= -p³ -2p²+4p³+8p-3p²-6

=3p³-5p²+8p-6  (I grouped the like terms and added them)

therefore, 3p³-5p²+8p-6 is the polynomial in the standard form.

One number is 3 less than 4 times a second number. The difference of the
first number and twice the second number is 7. What are the two numbers?
Show your work.

Answers

Answer:

the two numbers are 5 and 17

Step-by-step explanation:

4y - 3 = x

x - 2y = 7

to find y:

x - 2y = 7

(4y - 3) - 2y = 7

2y - 3 = 7

2y = 7 + 3

2y = 10

y = 10/2

y = 5

to find x :

4y - 3 = x

4 ( 5 ) - 3 = x

20 - 3 = x

17 = x

A circle has a diameter of 21 meters. What is the circumference of the circle? Use 22/7 for ∏.

Answers

Answer:

66

Step-by-step explanation:

The diameter of the circle is 21. The formula for circumference is pie*radius*2. We don't have the radius but the diameter is just double the radius so just don't multiply by 2. 21 x 22 = 462. 46s divided by 7 is 66. Enjoy your answer :D

What is the area of the triangle?

Answers

Answer:

Area = 40 sq units

Step-by-step explanation:

Area of a triangle:

A = 1/2•b•h

= 1/2•8•10

= 40 sq units

Area = 1/2•b•h
Area = 1/2•8•10
Area = 4* 10
Area = 40 square units

Hope this helps!

Radhika buys papaya at the rate of p(x) = x² – 12x – 220 per kg
(i) the factors of the given polynomial
(ii) if she purchase 5kg papaya, what money she have to pay?​

Answers

Answer:

(i) The factors of the given polynomial is (x – 22) and (x + 10)

(ii) If she purchase 5kg papaya then she pays 110

Step-by-step explanation:

Given;p(x) = x² – 12x – 220 per kgTo Find;The factors of the given polynomialif she purchase 5kg papaya, what money she have to pay?(i)

Now,

x² – 12x – 220 = 0

Splitting the middle term

x² – 22x + 10x – 220 = 0

x(x – 22) + 10(x – 22) = 0

(x – 22) + (x + 10) = 0

x – 22 = 0 or x + 10= 0

x = 22 or x = -10

Here, (-10) is the negative value hence it is not possible

So, The value of x is 22

The factors of the given polynomial is (x – 22) and (x + 10)

(ii)

if she purchase 5kg papaya then,

we know the price of 1 kg papaya i.e., 22 per kg

So,

5 × 22 = 110

Thus, if she purchase 5kg papaya then she pays 110

 

-TheUnknownScientist 72

a bakery sold 10 more cakes this month than it did the last month. It also sold 3 times as many cakes in this month than in the month before the last month. If that total number of cakes it sold in the last 3 months is 116, how many cakes did it sell last month?​

Answers

Answer:

Last month it sold 338 cakes.

Step-by-step explanation:

Let total cakes this month,last month and last 3 months be x,y and z respectively,

x = y + 10...

x = 3z

z = 116

Now, we have to find y,

x = y + 10

or, 3z = y + 10

or, 3•116 = y + 10

or, 348 = y + 10

or, y = 348 - 10

so, y = 338

I need help trying to figure out what is the area in my given shape

Answers

The area of a triangle is base times height divided by two

In this figure, its

3*6/2=

9

Plot the point that is symmetric to (0,-5) with respect to the x-axis

Answers

Answer:

If this point is 0, -5, one of the points of symmetry would be a simple reverse on the y axis. It would be 0, 5.

If we are talking respect to the x axis in general, another reverse point or quadrant would be -5, 0.

if you need more examples, let me know and i might be able to help more on my free time .

Question: “How many people are greater than 62 inches tall? “

Can someone please help me kn this :)

Answers

Answer:

5

Step-by-step explanation:

A cuboid has total surface area of 280m2 breadth 5cm and heinght 6cm.Find its length​

Answers

Step-by-step explanation:

Solution,

In the given cuboid, area of total surface (A)=280 cm²

Breadth ( b ) = 5 cm

Height ( h ) = 6 cm

Total surface area of cuboid = 2 ( lb + bh + lh )

or , Area = 2 ( lb + bh + lh )

or , 280 = 2 ( l × 5 + 5 × 6 + l × 6 )

or , 280 = 2 ( 11 l + 30 )

or , 2 ( 11 l + 30 ) = 280

or , 11 l + 30 = 280 ÷ 2

or , 11 l + 30 = 140

or , 11 l = 140 - 30

or , 11 l = 110

or , l = 110 ÷ 11

l = 10

Thus, the length is 10 cm...

10 cm is the right answer

What is 39/2500 as a terminating decimal?

Answers

Answer:

0.0156

Step-by-step explanation:

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