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:
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
CAN SOMEONE HELP AND EXPLAIN THIS TRIGONOMETRY PROBLEM
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...
factor 25m64−81n16 (w/ screenshot)
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]
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
Answer:
b
Step-by-step explanation:
x is the number each person will get
b is the only possible answer
I NED HELP FAST! Due tomorrow!! Ways to represent relations!
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:
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 .
===========================================================
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
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?
Answer:
115°
Step-by-step explanation:
The angles of elevation and depression are supplementary, thus
angle of depression = 180° - 65° = 115°
the slope-intercept form of an equation is y = mx + b. rewrite the equation in terms of the slope m
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]
HELP ME PLZ ! Solve for x
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 :)
For the points (5,4)and (7,8), find the distance between the points and find the
midpoint of the segment.
Answer:
distance = 2[tex]\sqrt{5}[/tex] or 4.47 in decimal form
midpoint(6,6)
Step-by-step explanation:
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)
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
6y-10y-11=8y-2y+29 step by step?
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
Given the equation, 5x + 10y = 20, what are your x and y-intercepts? Explain your thought process and steps in your reply.
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.
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:
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?
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.
Please Help quickly! I need an explanation please. 50 points and will mark brainliest !
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!
1) 9 + 2h - 16
-7 + 2h
what are the aspects of a good setter in volleyball
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)
What is the value of 3x2+y3 when x=2 and y=−2?
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 :)
For your goal what is 1.834597/26881
Answer:
0.00006824883
Step-by-step explanation:
right?
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?
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
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–
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.
It’s D&E because that’s what it is what it is
-2.75 is classified as?Select all that apply Natural Number Whole Number Integer Rational Number
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!
5.75 , 7.75 , 9.75 , 11.75 is a Non linear sequence ? is it true or false
Answer:
false because each go up by two and I didnt even look it up
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: 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).
Do the points shown represent additive inverses? Explain why or why not.
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
-2(v- 2) =-3 -22
What’s the answer?
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
The Difference of a number and nine
Answer:
3+3+3=9 Slove this
Step-by-step explanation:
Mark as Brainliest
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
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
Simplify 12 to the 3rd over 12 to the 7th
Answer:
0.0000482253
Step-by-step explanation: