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:
About 14.3 yearsStep-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 yearsIf we need the money to double, the return rate should be 100%:
7x = 100x = 100/7x = 14.3 yearsGiven 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."
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.
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How do you solve , (x+3)2 ?
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 + 6Step-by-step explanation:
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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?
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
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
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?
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 ?????????????
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
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?
Answer:
alan received 24 votes
Step-by-step explanation:
bark
2/5 divided by 2/3 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
Answer:
its open
Step-by-step explanation:
i just did it
How do you know if a situation represents
a proportional relationship?
What is an ideal gas.
How would you find the intercept for the equation y^2=2-3x-2x^2? I need the steps to understand
9514 1404 393
Answer:
x-intercepts: -2, +1/2y-intercepts: ±√2Step-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?
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
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
Answer:
B
Step-by-step explanation:
Two vertical angles have measures (4x-21)° and (x+6)°. Find the measures of the angles
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
Find x: 7=3(5+x)
Please show your work
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?
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
(ASAP) i need help plsssssszzz
Answer:
the first one is right....
Make x the subject of the formula:
t=w+(q/x)
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?
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
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
Find the slope \mathrm{m}m of the line in the graph below. \mathrm{m} =m=
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
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.
Work out m and c for the line: ? y = x + 6
the sum of a number and six is four less than three times a number. find the number.
Answer:
5
Step-by-step explanation: