Answer: 17 years
Step-by-step explanation:
Exponential equation for compund amount( compunded continuously):
[tex]A=Pe^{rt}[/tex] , where P= Principal value , r= rate of interest , t= time.
Given: A= 2P
r =4%= 0.04
To find : t
Substitute all values in the formula , we get
[tex]2P=Pe^{0.04t}\\\\\Rightarrow\ 2=e^{0.04t}[/tex]
Taking natural log on both sides
[tex]\ln2=\ln e^{0.04t }\\\\\Rightarrow\ 0.693147=0.04t\\\\\Rightarrow\ t=\dfrac{ 0.693147}{0.04}\\\\\Rightarrow\ t=17.3286\approx17[/tex]
hence, it will take 17 years (approx).
URGENT!!! From 120 to 140 find the percentage change
Using the given information, match the transformed equation from a parent function of [tex]y=x^2[/tex] or [tex]y=x^3[/tex]
Question and choices below:
Step-by-step explanation:
The general form for a quadratic or cubic equation is:
y = a (x − h)ⁿ + k
If |a| is between 0 and 1, it's a vertical shrink. If |a| is greater than 1, it's a vertical stretch. If a is negative, there's a reflection over the x-axis.
h is the horizontal translation. If h is positive, there's a translation to the right. If h is negative, there's a translation to the left. (Notice the expression in the parentheses is x − h, not x + h, so if it helps, rewrite the equation.)
k is the vertical translation. If k is positive, there's a translation up. If k is negative, there's a translation down.
f(x) = (x + 1)³ − 7
f(x) = 1 (x − -1)³ + -7
a = 1, h = -1, k = -7
This is y = x³ translated 1 unit to the left and 7 units down.
g(x) = -½ (x − 2)³
g(x) = -½ (x − 2)³ + 0
a = -½, h = 2, k = 0
This is y = x³ reflected over the x-axis, vertical shrink of ½, and translated 2 units to the right.
y = -(x − 4)³ − 2
y = -1 (x − 4)³ + -2
a = -1, h = 4, k = -2
This is y³ reflected over the x-axis, translated 4 units right and 2 units down.
Write the equation of the line that passes through the given points. (0,2) and( 2,11)
Answer:
9/2
Step-by-step explanation:
Find the slope of the line y = -2x +
2
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope is -2
Step-by-step explanation:
In any equation that is in the form of this question, the slope is always the number next to x. An example could be y = 6x - 1, the slope would be 6. If we had y = -100x - 5, the slope would be -100.
Which method can you use to prove that the triangles are congruent
Answer:
HL
Step-by-step explanation:
It's a right triangle.
Answer: HL
Step-by-step explanation: because they are right triangles
I'LL GIVE BRAINLIEST! Which property of similarity can be used to prove triangles LKJ and ZYX are similar? A) SAS B) AA C) SSS D) Not enough information given
Answer:
B, because it’s Angle Angle, or (A,A)
The given triangles are similar by AA rule of similarity.
What is triangle similarity?If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.
Given are two triangles,
AA rule of similarity:
If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.
Here we see,
∠ K ≅ ∠ Y
∠ J ≅ ∠ X
Hence, we can say that, both are similar by AA rule.
For more references on similarity, click;
https://brainly.com/question/26451866
#SPJ2
Bruce drew a scale drawing of a house and its lot. The house's driveway, which is 17 feet
wide in real life, is 34 inches wide in the drawing. What scale did Bruce use for the drawing?
Answer:
1/6
Step-by-step explanation:
Convert 17 feet to inches. 17×12 = 204
204 inches to 34 inches.
204/34 = 6
Remember we are scaling down
204× 1/6 = 34
NVIDIA GeForce RTX 3080 10GB GDDR6X PCI Express 4.0 Graphics CarddO YOU AGREE WITH THIS STATMENT?
maybe I do
Step-by-step explanation:
or don't sjjajahausos
Sam and Jane must learn to spell certain words as part of their homework. The graph shows the number of words each one learns with respect to time. In how many minutes will they have learned to spell an equal number of words?
Answer:
5 minutes
Step-by-step explanation:
because the line intersects at 5 minutes and they each learned 60 words at 5
Answer:
5 minutes
Step-by-step explanation:
:)
the cost of a hotel room for 5 nights is $610. there is a 9.5% tax
Answer:
wrong it is 667.95
Step-by-step explanation:
Find the value of x in the following parallelogram
Answer:
x = 2
Step-by-step explanation:
5x - 6 = 3x - 2 (the two diagonals bisect each other)
2x = 4
x = 2
Topic: Polygons
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
If im born in July 13th, 2007...how old will i be in 2025?
Answer:
18 years 0 months 0 days
Step-by-step explanation:
or 216 months 0 days
or 939 weeks 2 days
or 6,575 days
or 157,800 hours
or 9,468,000 minutes
or 568,080,000 seconds
Answer:
you will be 18!
Step-by-step explanation:
So if you are born In 2007 add 3 years to that. Now it's 2010 add 10 years to that. Now it is 2020. Now just add another 5 years to that and you get- 18!
16+4(c-5)=220 what is c
Answer:
c=205
Step-by-step explanation:
Nicholas hired a moving company. The moving company charged $400 for its services, and Nicholas gives the movers a 15% tip. How much does
Nicholas tip the movers?
Answer:
The Answer is $60.00
Step-by-step explanation:
i need help please
its pretty urgent
Determine whether the lines given in each box are parallel, perpendicular, or neither
You can do it by page say page one or page two please need it by today
Answer/Step-by-sep explanation:
To determine whether the lines given in each box are parallel, perpendicular, or neither, take the following simple steps:
1. Ensure the equations for both lines being compared are in the slope-intercept form, y = mx + b. Where m is the slope.
2. If both lines have the same slope value, m, then both lines are parallel.
3. If the slope of one line is the negative reciprocal of the other, then both lines are perpendicular. That is, x = -1/x.
4. If the slope of both lines are not the same, nor the negative reciprocal of each other, then they are neither parallel nor perpendicular.
1. y = 3x - 7 and y = 3x + 1.
Both have the same slope value of 3. Therefore, they are parallel.
2. ⬜ [tex] y = -\frac{2}{5}x + 3 [/tex] and [tex] y = \frac{2}{5}x + 8 [/tex]
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⅖ and the slope of the other is ⅖. Therefore, they are neither parallel nor perpendicular.⬜
3. [tex] y = -\frac{1}{4}x [/tex] and [tex] y = 4x - 5 [/tex]
The slope of the first line, ¼, is the negative reciprocal of the slope of the second line, 4.
Therefore, they are perdendicular.
4. 2x + 7y = 28 and 7x - 2y = 4.
Rewrite both equations in the slope-intercept form, y = mx + b.
2x + 7y = 28
7y = -2x + 28
y = -2x/7 + 28/7
y = -²/7 + 4
And
7x - 2y = 4
-2y = -7x + 4
y = -7x/-2 + 4/-2
y = ⁷/2x - 2
The slope of the first line, -²/7, is the negative reciprocal of the slope of the second line, ⁷/2.
Therefore, they are perdendicular.
5.⬜ y = -5x + 1 and x - 5y = 30.
Rewrite the second line equation in the slope-intercept form.
x - 5y = 30
-5y = -x + 30
y = -2x/-5 + 30/-5
y = ⅖x - 6
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -5 and the slope of the other is ⅖. therefore, they are neither parallel nor perpendicular.⬜
6.⬜ 3x + 2y = 8 and 2x + 3y = -12.
Rewrite both line equations in the slope-intercept form.
3x + 2y = 8
2y = -3x + 8
y = -3x/2 + 8/2
y = -³/2x + 4
And
2x + 3y = -12
3y = -2x -12
y = -2x/3 - 12/3
y = -⅔x - 4
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -³/2 and the slope of the other is -⅔ therefore, they are neither parallel nor perpendicular.⬜
7. y = -4x - 1 and 8x + 2y = 14.
Rewrite the equation of the second line in the slope-intercept form.
8x + 2y = 14
2y = -8x + 14
y = -8x/2 + 14/2
y = -4x + 7
Both have the same slope value of -4. Therefore, they are parallel.
8.⬜ x + y = 7 and x - y = 9.
Rewrite the equation of both lines in the slope-intercept form.
x + y = 7
y = -x + 7
And
x - y = 9
-y = -x + 9
y = -x/-1 + 9/-1
y = x - 9
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -1, and the slope of the other is 1, therefore, they are neither parallel nor perpendicular.⬜
9. y = ⅓x + 9 And x - 3y = 3
Rewrite the equation of the second line.
x - 3y = 3
-3y = -x + 3
y = -x/-3 + 3/-3
y = ⅓x - 1
Both have the same slope value of ⅓. Therefore, they are parallel.
10.⬜ 4x + 9y = 18 and y = 4x + 9
Rewrite the equation of the first line.
4x + 9y = 18
9y = -4x + 18
y = -4x/9 + 18/9
y = -⁴/9x + 2
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⁴/9, and the slope of the other is 4, therefore, they are neither parallel nor perpendicular.⬜
11.⬜ 5x - 10y = 20 and y = -2x + 6
Rewrite the equation of the first line.
5x - 10y = 20
-10y = -5x + 20
y = -5x/-10 + 20/-10
y = ²/5x - 2
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is ⅖, and the slope of the other is -2, therefore, they are neither parallel nor perpendicular.⬜
12. -9x + 12y = 24 and y = ¾x - 5
Rewrite the equation of the first line.
-9x + 12y = 24
12y = 9x + 24
y = 9x/12 + 24/12
y = ¾x + 2
Both have the same slope value of ¾. Therefore, they are parallel.
Will sells 35 L of milk in a day how many liters of milk will be sold if he has
to sell 125% more milk per day
Answer:
i think it is 43.75
Step-by-step explanation:
Either that or 39.375
(Sorry I couldn't answer in more detail. Please don't get mad at me)
Answer:78.75
1.25×35=43.75
43.75+35=78.75
I hope this is good enough:
Is this correct or wrong?
Answer:
It is correct :)
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
find the slope given (2,-7) and (-1,6)
Answer:
-0.77777777777778
Step-by-step explanation:
A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.
Which word describes the slope of the line representing the data in the table?
zero
undefined
negative
positive
Answer:negative should be the answer
Step-by-step explanation:
Answer: Negative
Step-by-step explanation:
The y-int is going down because the money is decreasing.
What is the slope of the line with the following points?
Point A (10,6)
Point B (15, 10)
Answer:
4/5
Step-by-step explanation:
There are 3 basketball teams. Each team has 10 players. All of the teams are used to make 6 groups during practice. How many players are in each group.
Kona’s mother realized that her age is the difference of Kona’s age squared and four. If k represents Kona’s age, which expression represents Kona’s mother’s age?
k squared minus 4
k cubed minus 4
k squared + 4
k cubed + 4
Answer:
k squared minus 4/ A
Step-by-step explanation:
took the test
Answer:A. k squared minus 4
Step-by-step explanation:
A 12 oz glass of apple juice cost $2.20 at a store how much does each ounce of Apple juice cost
Answer: 18 cents or $0.18
Step-by-step explanation: you divide 2.20/12
Answer:
simple do $2.20 divide by 12 and you will get your answer
Step-by-step explanation:
$.10
The first five terms of an arithmetic sequence are 8, 13/2, 5, 7/2, and 2. Which function, f(x), could be used to describe the xth term of the sequence?
Answer:
f(x) = 8 - 1.5x
Step-by-step explanation:
Here, we want to write a function that can be used to describe the x th term of the sequence
Mathematically, this can be calculated by looking at the numbers in the sequence
The difference between each successive term
is -1.5 ( 6.5-8, 3.5 -5)
So the formula for then x th term will be;
f(x) = 8 - 1.5x
where x refers to the number of the term , for example the 4th term
Answer:
-1.5x+9.5
Step-by-step explanation:
-1.5(1)+9.5=8
-1.5(2)+9.5=6.5
-1.5(3)+9.5=5
and so on....
Use properties of operations to write an expression equivalent to the expression below.
p6+(q+8)
Answer:
q8+p6=14
Step-by-step explanation:
Answer:
Answer:14
Step-by-step explanation:
Use PEMDAS
what does x equal -x +5 = -4
Answer:
-9
Step-by-step explanation:
+number + +number = positive
-number + +number = negative
When you add a positive number to a negative number, the negative number will try to go down to 0 more
Solve the inequality. T/4 > 7
Answer:
T>28
Step-by-step explanation:
Multiply 4 to both sides to get your variable alone.
What is the slope-intercept form of the function described by this table?
Enter your answer by filling in the boxes.
y =| | x + | |
Answer:
y = - 3x + 4
Step-by-step explanation:
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] ) Point-slope form
y = mx + b Point-intercept form
(1, 1)
(2, - 2)
m = (- 2 - 1 ) / (2 - 1) = - 3
y - 1 = - 3( x - 1 )
y = - 3x + 4
