Becky invests some money that she anticipates will average an annual return of 7%. About how many years will it take Becky’s money to double at this rate? Show your work using function notation.

Answers

Answer 1

The number of years it would take Becky to double the amount invested is 10 years.

The rule of 70 is a rule of thumb that is used to know the number of years it would take an investment to double at the interest rate. The formula entails dividing 70 by the interest rate.

Rule of 70 = 70 / interest rate

70 / 7 = 10 years

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Answer 2

Answer:

About  14.3 years

Step-by-step explanation:

The function for this case would be:

f(x) = 7x, where f(x) is the average return of %, x - is the number of years

If we need the money to double, the return rate should be 100%:

7x = 100x = 100/7x = 14.3 years

Related Questions

Given the graph of y=f(x), shown as a green curve, drag the green movable points to draw the graph of y=−f(x). When the green line is moved a red dashed line will appear where the original graph appeared for reference. Notice that you can control the positioning of the reflective function with the coordinate labeled "Drag Function" and control the width of the reflection with the coordinate labeled "Control Width."

Answers

The resulting function is presented in the image attached below.

In this question we know the graphic of a function and we must draw a new function which is the reflection of the original one around the x-axis. Mathematically speaking, a reflection a around the x-axis is defined by the following operation:

[tex]f'(x) = f(x) - 2\cdot [f(x) - 0][/tex]

[tex]f'(x) = - f(x)[/tex] (1)

Which means that the reflected function is equal to the original function multiplied by -1.

Now, we proceed to represent the reflected function graphically.

We kindly invite to check this question on reflections: https://brainly.com/question/15487308

How do you solve , (x+3)2 ?

Answers

Answer:

Distributive property of multiplication.

Step-by-step explanation:

2(x+3)

Multiply 2 times x, and 2 times 3 so that you get:

2x+6

Answer:

(x+3)2= 2 × x 2 × 3= 2x + 6

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Just this one question please There is no more. NO BOTS PLEASEE

Some artists look for ways to extend copyright for longer than the laws normally allow. Why do they do this?

Answers

Answer:

So that other people cannot use their music without the artists permission and usually payment.

Step-by-step explanation:

I'm not sure but this is my best answer!

plss help i'll give 80 points!! no links please

Answers

Answer:

domain [-1, ∞)

range [ -3, ∞)

Step-by-step explanation:

Brainliest?

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6x + y = -1

Answers

Answer:

y=6x-1

Step-by-step explanation:

Answer:

[tex]\bold{-6x + y = -1}[/tex]

Step-by-step explanation:

The slope form is [tex]y=mx+b[/tex]. So, convert this to a slope form:

Ivan finished Four-fifths of his math homework problems and all 3 problems for his science homework before dinner. If he finished a total of 43 problems before dinner, what is the total number of math homework problems he was assigned?

Answers

Answer:

Step-by-step explanation:

Since we know that Ivan finished all his science problems (3) we know that there are only math problems remaining

substract the science problems from the total 43-3=40

And now we can determine the amount of math problems

4/5 = 40/x where x is the total amount of math problems Ivan was assigned

cross multiply

4x = 5*40

4x=200

isolate the variable

4x/4 = 200/4

x=50

So Ivan was assigned a total of 50 math problems

(Note*) since there are 40 math problems finished 40/50 is equal to 4/5. Just a tip if you don't want to do the whole calculation

Hope this helps!

anyone ?????????????

Answers

Answer:

g(4) = 8

g(6) = 12

Step-by-step explanation:

come on dude, easier than that?

I GIVE BRAINLIST

which graph represents the solution set of the system of inequalities

y>_1/3x-3 y<-3x-3

Answers

need points so

Step-by-step explanation:

There are 32 students in your class. After voting for the class representative, Alan received 3 times as many votes than David. How many votes did Alan receive?

Answers

Answer:

alan received 24 votes

Step-by-step explanation:

bark

2/5 divided by 2/3 in simplest form

Answers

The answer is 3/5 in simplest form

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

When dividing by fractions, you can instead invert the fraction and multiply:

[tex]\frac{a}{b}\div\frac{x}{y} =\frac{a}{b} \times\frac{y}{x}[/tex]

To answer your question:

[tex]\frac{2}{5} \div\frac{2}{3} =\frac{2}{5} \times\frac{3}{2} =\frac{2\times3}{5\times2}=\frac{6}{10}=\frac{3}{5}[/tex]

12>x>-7 is the dots on a number line open or closed

Answers

Answer:

its open

Step-by-step explanation:

i just did it

How do you know if a situation represents
a proportional relationship?

Answers

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.

What is an ideal gas.

Answers

An ideal gas is a theoretical gas composed of many randomly moving point particles that are not subject to interparticle interactions. The ideal gas concept is useful because it obeys the ideal gas law, a simplified equation of state, and is amenable to analysis under statistical mechanics.

How would you find the intercept for the equation y^2=2-3x-2x^2? I need the steps to understand

Answers

9514 1404 393

Answer:

x-intercepts: -2, +1/2y-intercepts: ±√2

Step-by-step explanation:

You always find the intercepts by setting the known coordinate to its known value and solving for the value of the unknown coordinate.

An x-intercept is always found on the line y=0. Setting y=0 and solving for x, we find ...

  0 = 2 -3x -2x^2

  x^2 +3/2x -1 = 0 . . . . . . . . . . . . . . . . divide by -2

  (x2^2 +3/2x +(3/4)^2) -1 -(3/4)^2 = 0 . . . . . complete the square

  (x +3/4)^2 = 25/16 . . . . . add 25/16 and write as a square

  x +3/4 = ±5/4 . . . . . . . take the square root

  x = -3/4 ±5/4 = -8/4, +2/4

The x-intercepts are -2 and +1/2.

__

A y-intercept is always found on the line x=0. Setting x=0 and solving for y, we find ...

  y^2 = 2 -0 -0

  y = ±√2

The y-intercepts are -√2 and +√2.

_____

A graphing calculator can give you a good idea of what the intercepts are.

I would like help with this question i don’t understand?

Answers

Answer:

Step-by-step explanation:

ebony walks 118*60*5= 35400 steps

Javier walks 6000 in 50 minutes

5 hours is 300 minutes

which means we walks 6000 steps 6 times

6*6000= 36000 steps

therefore javier walked more steps

Select all ratios equivalent to 3:2.
10:1
15:10
18:12
Submit

Answers

None of these are equivalent to the ratio 3:2

Answer:

15:10, 18:12

Step-by-step explanation:

Technically speaking, the first value, 3, is 1.5x greater than the second value, 2.

So, in all other ratios, the first value should be 1.5x greater than the second.

We can check by dividing the first number of each ratio by 3, and if we multiply 2 by the quotient, it should be 1.5x smaller

___________________________________________________________

10:1, Incorrect

This is incorrect because the first value is not 1.5x greater than the second. It is 10x greater

10/3 = 3.333....

1 x 3.33... = 3.3333....

3.3333.... x 1.5 ≠ 10

15:10, Correct

This is correct because the first number is 1.5x greater than the second.

15/3 = 5

5 x 2 = 10

10 x 1.5 = 15

18:12, Correct

This is correct because the first number is 1.5x greater than the second.

18/3 = 6

6 x 2 = 12

12 x 1.5 = 18

-Chetan K

Write the expression using exponents.

3 × 3 × 3 × 3

A. 33
B. 34
C. 43
D. 35

Answers

Answer:

B

Step-by-step explanation:


Two vertical angles have measures (4x-21)° and (x+6)°. Find the measures of the angles




Answers

The measure of the two vertical angles is 15°

The two vertical angles have measures (4x-21)° and (x+6)°

Note that:

The measure of two vertical angles are equal

Therefore, equate  (4x-21)° and (x+6)° and solve for x

(4x-21)° =  (x+6)°

4x  -  21   =  x   +  6

Collect like terms

4x  -  x   =   6  +  21

3x    =  27

x   =  27/3

x    =   9

Substitute x = 9 into 4x - 21

4x - 21 = 4(9)  -  21

4x  -  21  = 15°

Substitute x = 9  into x + 6

x  +  6  =  9  +  6

x  +  6  =  15°

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please please help! Ill give brainliest
worded problem image attached

Answers

The equation is:

I=100+12J+5T+7S+5H-8M

The given information is that I=197, J=5, T=5, H=3, and M=3, and we’re trying to solve for the amount of shorts (S) he sold.

We can plug in the variables into the equation:

(197)=100+12(5)+5(5)+7S+5(3)-8(3)

After simplification:

197=100+60+25+7S+15-24

We can add/subtract the constants:

197=100+60+25+7S+15-24

We will add/subtract the constants:

197=176+7S

We will subtract 176 from both sides of the equation to cancel it out and isolate 7S:

197-176=176-176+7S

21=7S

We will divide 7 from both sides of the equation to cancel it out and isolate S:

21/7=7S/7

3=S or S=3 with the symmetric property of Equality applied.

Therefore, he sold 3 pairs of shorts


Find x: 7=3(5+x)
Please show your work

Answers

Answer: x = -(8/3)

Step-by-step explanation:

7=3(5+x)

7=15+3x

3x = -8

x = -(8/3)

the sum of the three consecutive integers is -105 what are the three numbers?

Answers

Answer: -34, -35, -36

Explanation: To find the sum of the three consecutive integers which add up to -105, let us find the sum of three consecutive integers which add up to 105. The only possible solution is 34, 35, and 36. Now we can just make this negative for -105. To double check, put this into a calc: -34 + -35 + -36

Would appreciate brainly <3

Let first number=x, second number=x+1, third number=x+2
Equating the sum of three number to -105 and finding x, the three integers are -36,-35 and -34

(ASAP) i need help plsssssszzz

Answers

It’s The first anwser

Answer:

the first one is right....

Make x the subject of the formula:
t=w+(q/x)

Answers

Answer:

  q

-------- = x

t - w

Step-by-step explanation:

Isolate (q/x) on the right side of this equation, by subtracting w from both sides.  Then:

t - w = q/x, or

t - w       q

------- = -----

   1         x

Next, invert this equation.  We get

   1           x

--------- = -----

t - w        q

Finally, multiply both sides by q:

  q

-------- = x

t - w

(1/3)^-2 + (1/4)^-2 = (125)^x
Find the value of x?

Answers

Given that :(1/3)^-2 + (1/4)^-2 = 125^x

⇛[1/(1/3)]²+[1/+1/4)]² = 125^x

Since a^-n = 1/a^n

⇛ (3)²+(4)² = 125^x

⇛ (3×3)+(4×4) = 125^x

⇛ 9+16 = 125^x

⇛25 = 125^x

⇛ 5² =( 5³)^x

⇛ 5² = 5^(3x)

Since (a^m)^n = a^mn

⇛ 2 = 3x

Since the bases are equal then exponents must be equal

⇛3x = 2

⇛ x = 2/3

Therefore,x = 2/3

Answer:- The value of x for the given problem is 2/3.

also read similar questions:- evaluate 1. 5x = 125(x-2) 2. 2(x + 3) = 4 (x + 4)..

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there are red and white roses in a vase 30% are red .there are 21 white roses.how many are there in total

Answers

Answer:

Step-by-step explanation:

21 roses are white so that is 70%

so that would be 70/100 and can reduce to 7/10

and the percent of red would be 3/10

so we can do 21 divided by 7 which equals 3

then we can do 3 x 3 because 3/10 which equals 9

then you do 21 + 9= 30

so the answer is 30.

Which equation has the solution x = 5?
Select each correct answer.


18−2x=9

x/5+5=6

32−4x=12

11 + 6x = 22

3x + 1 = 9

25/x+4=9

Answers

25/x+4=9 I believe is the answer

Find the slope \mathrm{m}m of the line in the graph below. ​ ​ \mathrm{m} =m=

Answers

Answer:

[tex]m=4[/tex] or [tex]m=\frac{4}{1}[/tex]

Step-by-step explanation:

To find slope we use the slope formula

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Two points on the line we can classify are (3,4) and (4,8)

I need help on this one

Answers

Answer:

(3,5)

1/3

Step-by-step explanation:

The equation is already in point-slope form. Therefore, both the point and slope can easily be found in the equation. Point slope form looks like [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]. In this the point is [tex](x_{1},y_{1})[/tex] and the slope is m. So, the x value is 3 and the y value is 5, making the coordinate (3,5). Finally, the slope is 1/3.

~~ 3,5
1/3
Hope this helps <3

Work out m and c for the line: ? y = x + 6​

Answers

Well your c value is already there (6) as the standard equation for a line is
y = mx + c

To find the gradient (M) plot two points on the line.

Then label each co ordinate X1 and X2 and then Y1 and Y2

Then subtract your y1 from y2 and then x1 from x2.

For example :if your coordinates were (1,2) (3,4) you would do
4-2 and 3-1

These answers become your “changes” now do change in y / change in x

In terms of the Example you would do 2/2 which would be 1 and the M value would be 1

Hope that isn’t too confusing

the sum of a number and six is four less than three times a number. find the number.

Answers

Answer:

5

Step-by-step explanation:

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