Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the graph of the exponential function relating time and money? The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time. The initial value of the graph is 200. The graph increases by a factor of 5 per 1 unit increase in time. The initial value of the graph is 500. The graph increases by a factor of 2 per 1 unit increase in time. The initial value of the graph is 500. The graph increases by a factor of 1.02 per 1 unit increase in time.

Answers

Answer 1

Answer:

A. The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.

Hope this helps!

Step-by-step explanation:

Answer 2

The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time the graph of the exponential function relate to time and money.

Given that,

Leticia invests $200 at 5% interest.

If y represents the amount of money after x time periods.

We have to determine,

Which describes the graph of the exponential function relating time and money?

According to the question,

The graph represents the exponential function relating time and money.

Where y represents the amount of money after x time periods.

After 1 period the amount of money is,

[tex]\rm f(x) = 200 + 200\left(\dfrac{5}{100}\right)\\\\f(x) = 200(1+0.5)\\\\f(x)= 200(1.5)\\\\[/tex]

After 2 periods the amount is,

[tex]\rm f(x) = 200(1.5) \times (1.5)\\\\f(x) = 200. (1.5)^2[/tex]

After 3 periods the amount is,

[tex]\rm f(x) = 200(1.5)^2 \times (1.5)\\\\f(x) = 200. (1.5)^3[/tex]

Therefore,

The amount after x period is,

[tex]\rm f(x) = 200(1.5)^x[/tex]

The initial value is when x = 0,

[tex]\rm y = 200 (1.05)^0 \\\\y = 200\times 1\\\\y = 200[/tex]

And the increasing factor is 1.05 because any value is the previous one times 1.05.

Hence, The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time the graph of the exponential function relate to time and money.

For more details refer to the link given below.

https://brainly.com/question/17407467


Related Questions

What equation matches this situation?
—John wants to buy an MP3 Player that costs $30. How much change did he receive
if he gives the cashier $40–

Answers

the first box should be correct
30 + c = 40

6y-10y-11=8y-2y+29 step by step?

Answers

Step-by-step explanation:

6y - 10y - 11 = 8y - 2y + 29

6y - 10y +16y - 11 = 8y - 2y + 29 + 16y

-11 = 22y + 29

11 = 22y + 40

-29 = 22y

Not sure yet I think I made a mistake hold up

What is the value of 3x2+y3 when x=2 and y=−2?

Answers

Answer:

6

Step-by-step explanation:

First step is to plug in x=2 and y=-2

3(2)2+(-2)3

Remember PEMDAS

Parentheses first: multiply the 3(2)

6(2)+-6

Multipication second: 6(2)

12+-6

Lastly addition: 12+-6 (pay attention to the negative-that means we actually subtract)

Gives us 6

Hope this helps :)

2. Points A, B, C, D, E, and F are integers. Use the clues to put the points in order
from least to greatest. You don't need to solve the numbers themselves!
• A is less than E.
. E is less than D.
• B is greater than C.
• C is less than A.
• F is the smallest.
• A is greater than B.
Points in order:

Answers

Answer: F C B A E D

imagine an investigation in which 40 students were asked to determine their chronotype by choosing from among four chronotypes instead of three: morning person, night person, neither, or both. If there is no relationship between chronotype and birth month, about what fraction of the students would you expect to pick the chronotype that matches their birth month? why do you think this?

Answers

Step-by-step explanation:

A chronotype is a behavioral manifestation of an underlying circadian rhythms of the myriad physical processes.

The chronotype word may be defined as an individual's natural tendency to remain active mostly at certain times of the day. Some people remain active and alert in the early time of the day and some are alert and active in the late night.

The chronotypes are : Morning person, night person, neither/both.

It is assume that the birth month and year of a person influences his or her chronotype. But if birth month is not related to theses personality traits of a person, then it can be expected that nearly 1/3rd of the fraction of the students in class picks the chronotype which corresponds to their birth type.

Mike ans his three friends decided to divide the lunch bill evenly.They are trying to figure out how much each person owes if the total bill was $52. Which equation models the scenario? a)52/4=x b)52/3=x c)52x=4 d)52x=3

Answers

Answer:

b

Step-by-step explanation:

x is the number each person will get

b is the only possible answer

HELP ME PLZ ! Solve for x

Answers

Answer:

x = -1/3 - 3/2y

Step-by-step explanation:

Step 1: Write out equation

3y + 2x = -1

Step 2: Subtract 3y on both sides

3y - 3y + 2x = -1 - 3y

2x = -1 - 3y

Step 3: Divide both sides by 2

2x/2 (-1 - 3y)/2

x = -1/3 - 3/2y

Answer:

Hey there!

3y+2x=-1

2x=-3y-1

x=-3/2y-1/2

Let me know if this helps :)

the slope-intercept form of an equation is y = mx + b. rewrite the equation in terms of the slope m

Answers

Answer:

[tex]\displaystyle m=\frac{y-b}{x}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]y=mx+b[/tex]

And we want to rewrite it in terms of m.

We can subtract b from both sides:

[tex]y-b=mx[/tex]

Finally, dividing both sides by x yields:

[tex]\displaystyle m=\frac{y-b}{x}[/tex]

In conclusion:

[tex]\displaystyle m=\frac{y-b}{x}[/tex]

The angle of elevation of a flagpole from the foot of a building is 65⁰, what is the angle of depression of the building from the Flagpole?

Answers

Answer:

115°

Step-by-step explanation:

The angles of elevation and depression are supplementary, thus

angle of depression = 180° - 65° = 115°

Marty drew a model of the school library. The total area of the floor is 132 square centimeters. What is the area of the shaded part of the model shown below?

Answers

Answer:

Step-by-step explanation:

116

The area of the shaded part of the model shown below will be 72 square cm.

What is an area of a rectangle?

Area of a rectangle is the product of its length and width.

If a rectangle has a length of L units and a width of W units, then

Area = L × W squared units.

Marty drew a model of the school library.

The total area of the floor is 132 square centimeters.

Then the area of the shaded part of the model shown below will be

Area = 132 - 10 x 6

Area = 132 - 60

Area = 72 square cm

Then the correct option is C.

Learn more about the area of a rectangle here:

https://brainly.com/question/4887838

#SPJ5

1) 9 + 2h - 16
-7 + 2h

Answers

9+2h-16-7+2h = -2(7-2h)
2 (7-2h) is the answer

I need help with solving this equation! ( answer is supposed to be 3.888 but I have been getting a different answer every time!) 3.24 x 1.2

Answers

Answer:

I got 3.888 because when 4×2=8 and 2×2=4 and 3×2=6 so for my first row of numbers was 648 under 0 I put a 0 then multiplied 3.24 by 1 then added 648+3240=3.888

Answer:

Step-by-step explanation:

If you can't use a calculator break it apart.

1 X 3.24 is 3.24

Now take .2 x 3.24   this is easy, just remember to move the decimal in the answer one more to the left.

  3.24

x      .2

 .684        moved the decimal one more spot

Now we take 3.24 + .684

   3.24

+    .648

   3.888

You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area a of the shelf X is (15,20) Z is (0,5) Y is (15,5)

Answers

Answer:

[tex]Area = 112.5[/tex]

Step-by-step explanation:

Given

[tex]X = (15,20)[/tex]

[tex]Y = (15,5)[/tex]

[tex]Z = (0,5)[/tex]

Required

Determine the area of the triangle

The area is calculated using the following formula:

[tex]Area = |\frac{X_x(Y_y - Z_y) + Y_x(X_y - Z_y) + Z_x(X_y - Y_y)}{2}|[/tex]

Where

[tex](X_x,X_y) = (15,20)[/tex]

[tex](Y_x,Y_y) = (15,5)[/tex]

[tex](Z_x,Z_y)= (0,5)[/tex]

Substitute right values in the given formula:

[tex]Area = |\frac{15(5 -5) + 15(20 - 5) + 0(20 - 5)}{2}|[/tex]

[tex]Area = |\frac{15(0) + 15(15) + 0(15)}{2}|[/tex]

[tex]Area = |\frac{0 + 225 + 0}{2}|[/tex]

[tex]Area = |\frac{225}{2}|[/tex]

[tex]Area = |112.5|[/tex]

[tex]Area = 112.5[/tex]

Hence, the area of the triangle is 112.5

Which of the following is a quantitative variable?


Temperatures in New York from January to March

Price of gas at three different gas stations

Population density of a town

Symbols of elements on the periodic table

Answers

Answers: A, B, C

These three deal with numeric values, so that is why they are quantitative variables. Think quantitative as quantity to help remember.

In contrast, choice D is a qualitative variable. Instead of dealing with numbers, it deals with symbols or labels. You could also call this a categorical variable (each label being its own category).

-2(v- 2) =-3 -22
What’s the answer?

Answers

Answer:

v= 29/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2(v−2)=−3−22

(−2)(v)+(−2)(−2)=−3+−22(Distribute)

−2v+4=−3+−22

−2v+4=(−3+−22)(Combine Like Terms)

−2v+4=−25

−2v+4=−25

Step 2: Subtract 4 from both sides.

−2v+4−4=−25−4

−2v=−29

Step 3: Divide both sides by -2.

−2v

−2

=

−29

−2

v=

29/2

For the points (5,4)and (7,8), find the distance between the points and find the
midpoint of the segment.

Answers

Answer:

distance = 2[tex]\sqrt{5}[/tex] or 4.47 in decimal form

midpoint(6,6)

Step-by-step explanation:

factor 25m64−81n16 (w/ screenshot)

Answers

Answer:

(5m^32 -9n^8) (5m^32 +9n^8)

Step-by-step explanation:

[tex]25m^{64}-81n^{16}\\\\\mathrm{Rewrite\:}25m^{64}-81n^{16}\mathrm{\:as\:}\left(5m^{32}\right)^2-\left(9n^8\right)^2\\\\=\left(5m^{32}\right)^2-\left(9n^8\right)^2\\\\\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\\x^2-y^2=\left(x+y\right)\left(x-y\right)\\\\\left(5m^{32}\right)^2-\left(9n^8\right)^2=\\\left(5m^{32}+9n^8\right)\left(5m^{32}-9n^8\right)[/tex]

I NED HELP FAST! Due tomorrow!! Ways to represent relations!

Answers

1.1: Four Ways to Represent a Function.•Determine whether a relation represents a function.

•Find the value of a function.

•Determine whether a function is one-to-one.

•Use the vertical line test to identify functions.

•Graph the functions listed in the library of functions

Step-by-step explanation:

For your goal what is 1.834597/26881

Answers

Answer:

0.00006824883

Step-by-step explanation:

right?

CAN SOMEONE HELP AND EXPLAIN THIS TRIGONOMETRY PROBLEM

Answers

Step-by-step explanation:

Hey there!

Simply work with it.

As it is a Right angled triangle, taking angle 40° as a reference angle. Then,

Length of board = hypotenuse = 15 feet.

To find: height of ladder = perpendicular.

Now,

Taking sin ratio,

[tex] \sin = \frac{p}{h} [/tex]

[tex]sin \: 40 = \frac{p}{15} [/tex]

or, as in per the given sin value is 0.6428

so,

[tex]0.6428 = \frac{p}{15} [/tex]

or, 15 × 0.6428 = p

or, p = height of ladder = 9.642.

Therefore, p = height of ladder = 10 feet. { rounding off we get 10 feet as answer}.

Hope it helps...

what are the aspects of a good setter in volleyball

Answers

Answer: be a good communicator with strong leadership skills who quickly builds trust with the ability to talk and communicate with her hitters.

encourages hitters when they are playing well and when they aren't playing well.

(I used to play volleyball myself)

Do the points shown represent additive inverses? Explain why or why not.

Answers

Answer:

Yes additive inverse is two complete opposite numbers if added = 0

Step-by-step explanation:

Answer:

The points on the number line do represent additive inverses. 3 and −3 are a zero pair, and when added they equal zero. The two numbers are the same distance from zero but in opposite directions.

Step-by-step explanation:

e d g e n u i t y . . . hope this helped :p

The Difference of a number and nine

Answers

Answer:

3+3+3=9 Slove this

Step-by-step explanation:

Mark as Brainliest

Simplify 12 to the 3rd over 12 to the 7th

Answers

Answer:

0.0000482253

Step-by-step explanation:

-2.75 is classified as?Select all that apply Natural Number Whole Number Integer Rational Number

Answers

Answer:

Rational Number

Step-by-step explanation:

It is not a natural number as natural numbers are the counting numbers we use and therefore only encompass positive integers,which - 2.75 is not. Whole numbers and integers do not include decimals and fractions, therefore - 2.75 is not included either does to its decimal. Finally it is a rational number because it can be properly expressed as a fraction (-2.75/1). Therefore it is just a rational number from this list.

Hope this helped!

Given the equation, 5x + 10y = 20, what are your x and y-intercepts? Explain your thought process and steps in your reply.

Answers

Answers:

x intercept = 4

y intercept = 2

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

Explanation:

To find the x intercept, plug in y = 0 and solve for x

5x+10y = 20

5x+10(0) = 20

5x = 20

x = 20/5

x = 4

The x intercept is x = 4, which means it is located at the point (4,0)

-----------------------

We'll flip things around for the y intercept. Plug in x = 0 and solve for y to get the y intercept.

5x+10y = 20

5(0)+10y = 20

10y = 20

y = 20/10

y = 2

The y intercept is located at (0,2), but we can just say "the y intercept is 2" as an alternative.

Consider the following 8 numbers, where one labelled x is unknown. 42, 47, 5, x , 18, 12, 50, 1 Given that the range of the numbers is 59, work out 2 values of x .

Answers

The two possible values for x are x = 60 and x = -9

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

Explanation:

Let's assume that x is the largest value of the list. If so then x = 60 because

range = max - min

range = x - 1

range = 60-1

range = 59

Effectively, you work backwards to go from a range of 59 to have x = 60 as the max.

So x = 60 is one possible value. We can't have x any larger or the range would be larger.

But we can have x be smaller. Specifically, it would be the min of the list. If negative x values are allowed, then x = -9 is the other possible x value

Here's why

range = max - min

range = 50 - x

range = 50 - (-9)

range = 50+9

range = 59

Please Help quickly! I need an explanation please. 50 points and will mark brainliest !

Answers

Yes, you are correct!

8x⁴-6x³+2/2x²+3

= 4x² + -6x³-12x²+2/2x²+3

= 4x² - 3x + -12x²+9x+2/2x²+2

= 4x² - 3x - 6 + 9x+20/2x²+3

Best of Luck!

Consider the function. f(x) = -2/3x - 24 Which conclusions can be drawn about f^-1(x)? Select two options.
f^-1(x) has a slope of -2/3
f^-1(x) has a slope of . f^–1(x) has a restricted domain.
f^-1(x) has a y-intercept of (0, –36).
f^-1(x) has an x-intercept of (–36, 0).
f^-1(x) has a range of all real numbers.

Answers

It’s D&E because that’s what it is what it is

5.75 , 7.75 , 9.75 , 11.75 is a Non linear sequence ? is it true or false

Answers

Answer:

false because each go up by two and I didnt even look it up

Other Questions
If a resident accidentally causes a chunk of ice to fall from the roof, how fast would the ice be moving when it hits the ground? Neglect air resistance. shows how a noun or pronoun and another word are related How did ancient rome use currency? What was the effect on international trade? Continue each pattern with the next two numbers.1.7,14,8,16,10,20,14, The type of study that generally does not follow the scientific method and typically contains many confounds is the What was the result of the overhunting of sea otters along the Pacific Coast? The sea otters on the Pacific Coast went extinct. The sea urchin population expanded and consumed the kelp and damaged the habitat. The sea urchin population was reduced to dangerous levels. The kelp grew rapidly and created new habitat for fish. Please answer the question in the photo. Match the description to the culture. Foraged for food, invented the atlatl and bow & arrow, lived together in small communities. 1. Paleolithic C Built ceremonial centers where people gathered for worship and recreation, traded with others for what they needed. 2. Archaic 3. Woodland Invented and used stone weapons to hunt large animals, 4. Mississippian Grew corn, beans, and squash, and were dependent on forest resources What is the density of a 700 kg object with a volume of 649 m3? (Density: D = D = m over v.) 0.927 kg/m3 .4543 kg/m3 1.079 kg/m3 4.543 kg/m3 How to find midpoint I can explain in 2 - 3 sentences why the interger -2 has a greater value than the integer -5. In order to solve 2 - 3 you __________________. The reason -2 has a greater value than -5 is because ________________________________________________. Which expression shows 7 more than the product of 8 times 9? A sample of 2,000 people yielded P(hat) = .52. What is the variance of the population proportion?a. .0056b. .0161c. .0112d. .00012 Ray KN is the angle bisector of angle JKL. Explain how you could find m angle JKNif you know m angle JKL. I will give the brainiestSuppose x = 7 is a solution to the equation 4x - 2(x + a) = 8. Find the value of a that makes theequation true.263-25 Which number is less than 2.16? 2.3, 2.09, 2.93, or 2.9 Identify the real number that corresponds to the point plotted on the real number line. How much oxygen is consumed by fish species what quadrant is -2 (radians) in? Examine the map of the foreign-born population in the United States. A map of the U S titled Foreign-Born Population as Percentage of State Population in 2010. Each state is labeled with a percentage. A key marks percentages in different colors. Less than 5 percent is blue. 5 to 9.9 percent is orange. 10 to 14.9 percent is green. 15 percent and over is yellow. The highest percentages are California with 27.2 and New York with 22.2. Based on the map, in which state might a political scientist predict immigration issues would be most important