Investments increase exponentially by
about 26% every 3 years. If you made a
$2,000 investment, how much money
would you have after 45 years?
Future Amount = $[?]
Hint: Future Amount = (1 + r)
Į(1
←time
periods
initial growth

Answers

Answer 1

Answer:

29

Step-by-step explanation:

if you calculate the mathimatical equipment to the $2,000 it'll be better


Related Questions

P, Q and R are points in the same
horizontal plane. The bearing of
Q from P is 150° and the bearing
of R from Q is 060°.
If |PQ| = 5m and QR = 3m,
Find the bearing of R from P.
correct to the nearest degree./

Answers

Answer: 119°

Step-by-step explanation:

From the positive y-axis, all angles are measured clockwise

PR = PQ + QR = 5[150°] + 3[60°]

X = 5*sin150 + 3*sin60 = 5.1

Y = 5*Cos150 + 3*Cos60 = -2.83

TanA = X/Y

A = -61° = 61° East of South = 119° Clockwise

Therefore, the bearing of R from P is 119°

If you currently makes 425 What is the gross they will earn If they work every week If the year

Answers

They will earn If they work every week If the year is $22100.

We have given that,

you currently make 425

We have to determine what is the gross they will earn If they work a week If the year.

We know that

A worker currently makes $425 per week

How many weeks in a year?

1year=52 weeks

So by proportion find the amount that the worker will earn in one year

[tex]\frac{425}{x}\times \frac{\$}{weeks}[/tex]

[tex]=\frac{x}{52}\times \frac{\$}{weeks}[/tex]

[tex]x=52\times 425[/tex]

x=22,100

Therefore, The answer is $22100.

To learn more about the gross money visit:

https://brainly.com/question/27511176

#SPJ1

The angles of a quadrilateral have measures m∠A = (7x)◦, m∠B = (4x + 5)◦, m∠C =
(6x + 15)◦, m∠D = (6x −5)◦. Find the value of x. If a diagonal bisects ∠B and ∠D, what
type of quadrilateral is ABCD?

Answers

The value of x is 15° and the type of quadrilateral is a rhombus.

Quadrilateral

A quadrilateral is a polygon that has four sides.The sum of all angles of a quadrilateral is 360°.

Here, we are given,

m∠A = (7x)◦, m∠B = (4x + 5)◦, m∠C =(6x + 15)◦, m∠D = (6x −5)◦

So, we will have

7x+4x+5+6x+15+6x-5=360°

23x+15°=360°

23x=345°

x=345°/23°

x=15°

Hence, the angles of the quadrilateral are:

m∠A = (7x)◦=105°,

m∠B = (4x + 5)◦ =65°

m∠C =105°

m∠D = (6x −5)◦ =85°

Since the diagonal bisects ∠B and ∠D, we get that the quadrilateral is a rhombus.

To learn more about rhombus refer to:

https://brainly.com/question/27870968

#SPJ10

If the ordered pair (-5/2, y) lies on the graph of y=7-2x, find the value of y.
19/2
012
02

Answers

The correct answer is option B which is the value of Y will be 12.

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

If the ordered pair (-5/2, y) lies on the graph of y=7-2x,

The value of Y will be calculated as:-

Y = 7 - 2x

Y = 7 - 2 ( -5/2 )

Y = 7 - ( - 5 )

Y = 7 + 5

Y = 12

Therefore the correct answer is option B which is the value of Y will be 12.

To know more about equations follow

https://brainly.com/question/2972832

#SPJ1

Using Triangle Congruence Theorems

Answers

There are a total of five theorems congruent triangles. They are summarized as:

SASSSSAASRHS and ASA.

What are the definitions of the Theorems of Congruent Triangles?

SAS - Side Angle Side

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

SSS - Side Side Side Rule

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are proportional to the size three sides of the second triangle.

AAS - Angle Angle Side Rule
Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the comparable angles and sides of another triangle.

ASA - Angle Side Angle rule

According to the ASA rule, two triangles are said to be congruent if any two angles and the side contained between the angles of one triangle are proportional to the size two angles and side included in between angles of the second triangle.

RHS - Right Angle- Hypotenuse side Rule

According to the RHS rule, two right triangles are said to be equivalent if their hypotenuses and one of their sides are identical to those of another right-angled triangle.

Learn more about theorems of congruent triangles at:
https://brainly.com/question/2102943
#SPJ1

Answer:

AD=BC (given)

DC=DC (reflexive property)

DE=CE (converse of isosceles triangle thm)

<BCD=<ADC (given)

<ECD=<EDC (CPCTC)

TriangleADC=TriangleBCD (SAS)

Find the sine and the cosine of 30°.
A. sin 30° =1/2, cos 30°= √3
B. sin 30°=1/2, cos 30° = √3/2
C. sin 30° = √3/3, cos 30°= √3/4
D. sin 30° = √3/3, cos 30° = √3/2

Answers

Answer:

Option B is correct.

Step-by-step explanation:

Trigonometry is defined as the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles. There are three basic trigonometric ratios: sine, cosine, and tangent. Trigonometry and its functions have an enormous number of uses in our daily life. For instance, it is used in geography to measure the distance between landmarks, in astronomy to measure the distance of nearby stars and also in the satellite navigation system.

The trigonometric function of sine for an acute angle is the ratio between the leg opposite the angle when it is considered part of a right triangle and the hypotenuse while the cosine is the ratio of the base and the hypotenuse.

Here, [tex]sin 30[/tex]° [tex]=\frac{4}{8}[/tex]

[tex]sin 30[/tex]° [tex]=\frac{1}{2}[/tex]

[tex]cos 30[/tex]° [tex]=\frac{4\sqrt{3}}{8}[/tex]

[tex]cos30[/tex]°[tex]=\frac{\sqrt{3} }{2}[/tex]

Learn more about trigonometry-https://brainly.com/question/13729598

#SPJ10

what is the range of the ordered pairs shown in the graph?

Answers

D

Step-by-step explanation:

The points dx are at -1, 1, 2 and 3 so it must be D

Answer:

To find the range,

first see the value of each points -

first = (3,5)

second = (2,0)

third = ( 1,3)

fourth, ( -1, 2)

let's take X Axix to find the range

so the range is ( -1, 1 , 2 ,3)

Option D is correct

At a certain time of day, the angle of elevation of the sun is 80degree. Find the height of a tree whose shadow is 44 feet long.

Answers

The height of the tree is 249.5 feet

How to determine the height of the tree?

The given parameters are:

Elevation angle = 80 degreesShadow length (L) = 44 feet

Let the height of the tree be x.

So, we have:

tan(80) = x/44

Multiply both sides by 44

x = 44 * tan(80)

Evaluate

x = 249.5

Hence, the height of the tree is 249.5 feet

Read more about elevation at:

https://brainly.com/question/19594654

#SPJ1

the length of a cell is 2/3 mm. If the area of the cell is 1/12 square mm, whtat is the width of the cell

Answers

Answer:

0.125 mm

Step-by-step explanation:

A/L=W

W=0.125

An open rectangular box with a volume of 12 cubic meters has a length that is 5 times the width. Express the surface area of the box as a function of the length of a side of the base, x.

Answers

The area of a 2D form is the amount of space within its perimeter. The surface area of the prism is 5x²+(24/5x)+(24/x).

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Let the width of the rectangular box be x. Therefore, the length of the box is 5x. Now, the height of the box can be written as,

Volume of the box = length × width × Height

12 = 5x² × H

H= 12 / 5x²

Further, the surface area of the open box is,

Surface area of the box

[tex]= (5x \times x) + 2(h \times x) + 2(5x \times h)\\\\= (5x^2) + 2(\dfrac{12}{5x^2} \times x) + 2(5x \times \dfrac{12}{5x^2})\\\\\\= 5x^2 + \dfrac{24}{5x} + \dfrac{24}{x}[/tex]

Hence, the surface area of the prism is 5x²+(24/5x)+(24/x).

Learn more about the Area:

https://brainly.com/question/1631786

#SPJ1

Answer please! I need this!

Answers

Step-by-step explanation:

The top has been multiplied by 5 so multiply the bottom by 5, 2 x 5 = 10. also why is there a pig lol

f(a)=3a^2+2a+7 find the value of f(a)

Answers

Answer:

Step-by-step explanation:

If a = 0, f(a) = f(0) = 0 + 0 + 7 = 7;

If a = 1, f(1) = 3(1^2) + 2(1) + 7 = 12;

and so on.  Normally an 'a' value would be given as part of this problem.

Actually, the value of f(a) is given and is  f(a) = 3a^2+2a+7 for input value a.

Calcular la edades actuales de una madre y sus dos hijos sabiendo que hace 14 años la dad de la madre era 5
veces la suma de las edades de los hijos en aquel momento, que dentro de 10 madre será la suma de las edades
que los hijos tendrán en ese momento y que cuando el hijo mayor tenga la edad actual de la madre, el hijo
menor tendrá 42 años.

Answers

The present age of mother and her daughter respectively are; 40 and 10 years respectively.

How to Solve Algebra Word Problems?

Let x and y be the present age of mother and her daughter respectively.

Therefore;

x + y = 50

x = 50 − y     .....(1)

After 20 years, mother's age will be twice her daughter's age at the time. Thus;

x + 20 = 2(y + 20)

x − 2y = 20     .....(2)

Plugging eq 1 into eq 2 gives us;

50 − y − 2y = 20

3y = 30

y = 10

Thus;

x = 50 − 10

x = 40

Thus, the present age of mother and her daughter is 40 and 10 years respectively.

Translation of the question into English is;

The sum of the present ages of mother and her daughter is 50 years. After 20 years, mother's age will be twice her daughter's age at the time. Find their present ages.

Read more about Algebra Word Problems at; https://brainly.com/question/21405634

#SPJ1

24. Demography A city has a population of 71,500. Ten years ago the population
was 32,500. What percent of the population 10 years ago is the population now?
Use the proportion method.

Answers

Answer:

45.5%

Step-by-step explanation:

The increase in population was 45.5%

Solve the system of equation for y using Cramer's rule. Hint: The determinant of the coefficient matrix is -23.

Answers

Answer:

-4  option (c)

Step-by-step explanation:

Cramer rule : In this method, the values of the variables in the system are to be calculated using the determinants of matrices

if , D :determinant of the coefficient matrix

[tex]{D}_{x}:[/tex]determinant of the matrix with coefficients except x

then,

[tex]x=\frac{{D}_{x}}{D}[/tex]

similarly,

[tex]y=\frac{{D}_{y}}{D}[/tex]

[tex]z=\frac{{D}_{z}}{D}[/tex]

given,

D = -23

[tex]D_{y}[/tex]  =           [tex]det\left[\begin{array}{ccc}5&7&-1\\2&6&-2\\3&-7&2\end{array}\right][/tex]

[tex]D_{y}[/tex] = 92

therefore, y = 92/(-23)

   y = -4 answer

learn more about determinants at

https://brainly.com/question/11841826

#SPJ10

In what table does y vary directly with x?

Answers

Answer:

The phrase “ y varies directly as x” or “ y is directly proportional to x” means that as x gets bigger, so does y, and as x gets smaller, so does y. That concept can be translated in two ways. for some constant k. The k is called the constant of proportionality. Therefore a chance of probability is a binary table.

Step-by-step explanation:

An airplane is flying at an altitude of 26,843 feet. The plane descends (goes down) 1,284 feet. Then the plane ascends (goes up) another 5,832 feet.

Let a represent the altitude of the plane.

Which equation could be used to find the final altitude of the plane?


A. a = 26,843 + 1,284 + 5,832

B. a=26,843+1,284−5,832

C. a=26,843−1,284+5,832

D. a=26,843−1,284−5,832

Answers

Answer:

Hi

The answer is C

Step-by-step explanation:

Because it descend means goes down so it's minus and after that it ascends means goes up so it's plus so the answer will be -

26,843-1,284+5832

The length of a golden rectangle is 35 cm. Find the width to the nearest centimeter.
17cm
25cm
22cm
29cm
16cm

Answers

Answer:

22 cm

Step-by-step explanation:

First we need to know that The golden number

= (1+√(5))÷2

= 1.61803398875 (in decimal)

………………………………………………

We get the length of a golden rectangle

by multiplying its width by the golden number itself.

Then

The width = 35÷ 1.61803398875

                 =21.631189606245

You are choosing between two different cell phone plans. The first plan charges a rate of
24 cents per minute. The second plan charges a monthly fee of $49.95 plus 11 cents per
minute.
Lett be the number of minutes you talk and C₁ and C₂ be the costs (in dollars) of the first
and second plans. Give an equation for each in terms of t, and then find the number of
talk minutes that would produce the same cost for both plans (Round your answer to one
decimal place).
C₁ =____
C₂ =____
If you talk for
_____ minutes the two plans will have the same cost.

Answers

If you talk for 384.23 minutes the two plans will have the same cost.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

x is the number of minutes that will be used during a month:

C₁ = 0.24x

C₂ = 49.95 + 0.11x

So, when 1st = 2nd

0.24x = 49.95 + 0.11x

0.24x - 0.11x = 49.95

0.13x = 49.95

x = 49.95/0.13

x = 384.23 minutes

Hence, If you talk for 384.23 minutes the two plans will have the same cost.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ1

What is the vertex of the quadratic function given in the table?

Answers

Answer:

The vertex is (-3,-2)

The vertex is basically the very top or very lowest, so you will notice how values around (-3,-2) are relatively the same in the y coordinate, but -2 is the "highest/lowest" so that's how you know it's a vertex.

If you try picturing the points in your head, you will see it make a U and at the bottom of the U is the vertex.

The function forms a parabola which has an axis of symmetry through the vertex.
The y values are symmetric either side of x = -3 so the vertex is at (-3, -2)
This is enough information to identify the function is y =(x + 3)^2 - 2

Need help with this geometric question

Answers

Answer: 95 degrees (not an answer choice)

Step-by-step explanation:

Opposite angles of a parallelogram are congruent, so the left part of the angle is 40 degrees.

Adjacent angles of a parallelogram are supplementary, so the right part of the angle is 55 degrees.

Adding these together, we get 95 degrees.

please solve using whatver method u want!
+brainest
ASAP

Answers

Answer:

System has no solutions.

Step-by-step explanation:

Double the first, change sign to the second. You get

[tex]6x-4y=8\\6x-4y=-7[/tex]

You need a quantity ([tex]6x-4y[/tex]) which, at the same time is both equal to 8 and -7, which is obviously impossible.

System has no solutions.

Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by x squared over 324 minus quantity y minus 90 end quantity squared over 1600 equals 1 comma where the measurements are in meters. What is the width of the cooling tower at the base of the structure? Round your answer to the nearest whole number.

36 meters
48 meters
80 meters
89 meters

Answers

The width of the cooling tower at the base of the structure will be A. 36 meters.

How to calculate the width?

From the information given, the towers walls are modeled by x²/324 - (y² - 90)²/1600.

Therefore, the width of the cooling tower at the base of the structure will be:

= 2 × ✓324

= 2 × 18

= 36

In conclusion, the width is 36 meters.

Learn more about width on:

brainly.com/question/25855344

#SPJ1

Answer:

It is actually D

Step-by-step explanation:

Suppose that an examination consists of 10 questions with the choice A, B, C, and D. Assume that a student has no knowledge of the subject matter. Then what is the probability that: Guessing at most two correct answers? Guessing at least seven correct answers? Which type of probability distribution it has? Why? average five smokers pass a crain traat B. C. Suppose that an examination consists of 10 questions with the choice A , B , C , and D. Assume that a student has no knowledge of the subject matter . Then what is the probability that : Guessing at most two correct answers ? Guessing at least seven correct answers ? Which type of probability distribution it has ? Why ? ​

Answers

The probability of getting two correct answers will be 0.0625.

How to calculate the probability?

The probability of getting two correct answers will be:

Probability of getting the correct answer will be:

= 1/4 = 0.25

The probability of getting two correct answers will be:

= 0.25 × 0.25

= 0.0625

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

Given the function f(x) = -5|x + 1| + 3, for what values of x is f(x) = -12? O X= -2. x = 1 O x= -2 x = 4 O x = 2. x = 4 O x = 2, x = 4

Answers

The values are x= -2 and x =4 of the given function f (x) =-5|x+1| +3

What is function?

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

According to the question,

The given function is

[tex]f(x) = -5|x + 1| + 3[/tex]

Here f(x) = -12

Substitute f(x) and solve for x

[tex]- 12 = -5|x + 1| + 3[/tex]

By subtracting 3 on both sides

[tex]- 12 - 3 = -5|x + 1| + 3 - 3[/tex]

[tex]- 15 = -5|x + 1|[/tex]

By dividing -5 on both sides

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

We get absolute values for the function.

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

By subtracting 1 on both sides

[tex]x + 1 - 1 = 3 - 1 = 2\\\\x + 1 - 1 = - 3 - 1 = -4\\\\x = 2 , x = - 4[/tex]

Therefore, the values of x are 2 and - 4 of the given function f (x) =-5|x+1| +3

Learn more about function here: https://brainly.com/question/12431044

#SPJ1

Which statement is correct when a scatterplot is constructed?
The independent variable is the input variable and should be represented by the x-axis.
The independent variable is the input variable and should be represented by the y-axis.
The dependent variable is the input variable and should be represented by the x-axis.
The dependent variable is the input variable and should be represented by the y-axis.

Answers

Option A is the correct answer.

The independent variable is the input variable and should be represented by the x-axis.

What is Variable?

A variable is a symbol and placeholder for a quantity that may change, or any mathematical object. In particular, a variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.

For the Scatterplot, out of given options,

Option A is the correct option which represents The independent variable is the input variable and should be represented by the x-axis.

Thus, The independent variable is the input variable and should be represented by the x-axis.

Learn more about Variable from:

https://brainly.com/question/1511425

#SPJ1

A hostel has food for 60 days if after 15 days 500 more students joined th hostel and the food lasted for 40days only. How many students were there in hostel

Answers

Answer:

625

Step-by-step explanation:

here we are in an inverse proportion situation :

As the number of days increases

when the number of students decreases and vice versa.

__________________

Say n is the original number of students.

___________________________________________

After 15 days, the rest of food is enough for n students for 45 days,

or enough for n+500 students for 25 days.

Then

45n = 25×(n + 500)

Then

45n = 25n + 25×500

Then

45n - 25n = 25×500

Then

20n = 12500

Then

n = 12500÷20

  = 625

and thus , there were 625 students in the hostel.

Maria rides her bicycle to school at a constant speed of 15 miles per hour.If the distance to school is 6 miles,how many minutes will it take Maria to get to school?EXPLAIN PLEASE
E. 10
F.15
G.24
H.30

Answers

Answer:

24 minutes

Explanation:

Given:

speed: 15 miles/hdistance: 6 miles

Formula:

time taken = distance/speed

Applying the formula:

time taken = 6/15 = 0.4 hours = 24 minutes

Speed=15mphDistance=6mi

Now

Speed=Distance/TimeTime=Distance/SpeedTime =6/15=0.4h=24min

ASAP!!!!!!!!!!!!

PLEASE GIVE A STEP BY STEP EXPLANATION!!!


The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):

Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)


Part B: Solve for k in each type of transformation. (4 points)


Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Answers

The two transformations for fx and gx would be to shift by 6 units and also go up by 18.

What is a transformation?

This is the term that is used in mathematics to describe the manipulation of a line or a shape.

a. The possible transformations that can be gotten here would be to shift to the left by 6 units from what we have in the graph and also shift to the top by 18.

b. How to solve for K in the transformation

g of x = f(x - k) then

g(x)= f(x) + k

C. The value of k should be based on the way it changes based on the given points.

Vertically, g(x)=f(x) +18

Horizontally , g(x)=f(x-6)

Read more on transformations here:

https://brainly.com/question/4289712

#SPJ1

What is the product of (x² + x + 2) and (x² − 2x + 3)

Answers

Answer:

[tex]x^4-x^3+3x^2-x+6[/tex]

Step-by-step explanation:

Multiply each term in the first equation by all the terms in the second and add them together.

Other Questions
How much money can an employer deduct if you accidentally damage or destroy something while working? HELP 25 POINTS What kind of instruction is spiritual instruction? informal both informal and formal formal neither informal nor formal Which are effective ways to help prevent medication errors? (select all that apply) Unlike many other climbers, Sakura has her own climbing style. Her top competitors work their way slowly up the wall, pausing to rest and rethink their planned approach at each step, but Sakura plans her whole climb beforehand and moves up the wall without stopping, often leaping to grasp handholds that seem out of reach. This style means she falls more often than some other climbers but often gets several tries at a problem before her time is up. Which option best states the central idea of the passage? A. Climbers can win if they get to the top of the wall before the time is up. B. There is little chance Sakura will win because she falls so often. OC. Unlike other climbers, Sakura does not plan how to move up the wall. D. Sakura's climbing style stands out because of its constant motion. Unlike many other climbers , Sakura has her own climbing style . Her top competitors work their way slowly up the wall , pausing to rest and rethink their planned approach at each step , but Sakura plans her whole climb beforehand and moves up the wall without stopping , often leaping to grasp handholds that seem out of reach . This style means she falls more often than some other climbers but often gets several tries at a problem before her time is up . Which option best states the central idea of the passage ? A. Climbers can win if they get to the top of the wall before the time is up . B. There is little chance Sakura will win because she falls so often . OC . Unlike other climbers , Sakura does not plan how to move up the wall . D. Sakura's climbing style stands out because of its constant motion . How does this excerpt develop the central idea that Elizabeth Van Lew helped expand the role of women in society? Choose two answers. Which set of values could be the side lengths of a 30-60-90 triangle? Someone help asap pls!! Ill mark you brainliest what is the magnification of a mirror that What results would be expected with no spontaneous generation of life Large animals have specialized gas exchange systems. Fish use ______ and insects use ________.A. spiracles, alveoliB. pleural membrane, alveoliC. gills, pleural membraneD. gills, spiracles The Atlantic puffin feeds on several species of Atlantic fish. A population of puffins living on Matinucus Rock was found to feed on the types of fish shown in the graph below. The beaks of this group of puffin are shaped to grasp Species A particularly well. Predict what would happen to the puffins beaks if another predator enters the area that is better at preying on Species A. Explain your reasoning based on what you know regarding genetic adaptations. In which of the following global regions do people have the highest lifeexpectancy? name this country that suffered the horrific effect of an atomic bomb during ww2 Technician A uses heat shrink tubing to insulate and seal soldered wire connections. Technician B wraps the soldered connection with electrical tape. Who is correct The theater sells two types of tickets: adulttickets for $17 and child tickets for $10.Last night, the theater sold a total of 403tickets for a total of $5563. How many adulttickets did the theater sell last night?Show your work herePLEASE HELP What is the measure of \angle xxangle, x?Angles are not necessarily drawn to scale. All cells contain a nucleus true false 28.6% of city employees ride the bus to work. Last year, 29.7% of city employees rode the bus to work. What is the relative change from last year to this year?(Express your answer rounded correctly to the nearest tenth of a percent!) Graph g(x)=|x4|+3.\ If a=[-2 -4 2 5 1 5 -1 -3 -4] and b=[2 3 -5 5 -4 2 -1 -1 3] find ba