Answer:
Part A
The worth of the stock in 7 years is approximately $145.68
Part B
The worth of the stock in 2016 is approximately $62.48
Part C
f(7) = 85 × (1 + 0.08)⁷
Part D
85 × (1 + 0.08)⁻⁴
Step-by-step explanation:
Question
"The value of the πPhone πhas increased 8% each year for the past several years. In 2020, the stock was worth $85. What will the stock be worth in 7 years? What was the stock worth in 2016? Equation: 7 years from now? in 2016?"
The equation for the growth of the stock to a final amount f(x) is given by the general equation for exponential growth as follows;
[tex]f(t) = a \cdot (1 + r)^t[/tex]
Where, in relation to the stocks;
f(t) = The value of the stocks after 't' years
a = The initial amount of the stocks
r = The rate of growth of the stock = 8%
t = The number of years of growth
Part A
The worth of the stock in 7 years, f(7), is found as follows;
The (initial) value of the stock in 2020, a = $85
The rate of increase in the value of the stock = The growth rate of the stock, r = 8% = 8/100 = 0.08
The number of years of growth, t = 7 years
We get;
f(7) = 85 × (1 + 0.08)⁷ ≈ 145.68
The worth of the stock in 7 years, f(7) ≈ $145.68
Part B
The value of the stock in 2016 is found as follows;
The number of years between 2020 and 2016 = 2016 - 2020 = -4 (years)
Here, let 'f(t)' represent the value of the stock in 2016, and therefore, we have;
t = -4 years
r = 8% = 0.08
a = The value of the stock in 2020 = $85
Plugging in the values gives;
f(-4) = 85·(1 + 0.08)⁻⁴ = 85 × (1.08)⁻⁴ ≈ 62.48
The value of the stock in 2016, f(-4) ≈ $62.48.
Part C
The equation for 7 years from now is f(7) = 85 × (1 + 0.08)⁷
Part D
The equation for 2016 is f(-4) = 85 × (1 + 0.08)⁻⁴.
PLEASE HELP!!! Will Give Brainliest!! Calculate the limit, if it exists, of the following (pre-calculus problem, please show work)
One bow requires 3.2 inches of ribbon. How many
bows can be made from 304 inches of ribbon?
Answer:
95
Step-by-step explanation:
304/3.2 = 95
Answer:
4
Step-by-step explanation:First, we convert feet into inches. A foot equals 12 inches so 3 feet equal 36 inches. Then, we divide by 8. 36/8 = 4.5, and we can say that 4 bows can be made.
what are the inequalities
Answer:
an inequality is a mathematical statement that shows that an expression is lesser than or more than the other.
Which of the following pairs of events are disjoint (mutually exclusive)?
a) A: odd numbers; B: the number 5
b) A: even numbers; B: numbers greater than 10
c)A: numbers less than 5; B: all negative numbers
d)A: numbers above 100; B: numbers less than -200
Answer:
d
Step-by-step explanation:
d because there are no numbers common to both sets
Disjoint sets are those sets that have no common values between the sets.
A: numbers above 100; B: numbers less than -200 is a disjoint set.
Option D is the correct answer.
What is a set?A set is a collection of items where there are operations such as:
Union of sets, the intersection of sets, complements of sets.
We have,
Disjoint sets are those sets that have no common values between the sets.
a) A: odd numbers; B: the number 5
Set A = {1, 3, 5, 7, 9,.....}
Set B = {5}
A ∩ B = {5}
This is not a disjoint set.
b) A: even numbers; B: numbers greater than 10
A = {2, 4, 6, 8, 10, , , }
B = {11, 12, 13, 14, 15, 16, 18,,,,,}
A ∩ B = {12, 14, 16, 18,,,}
This is not a disjoint set.
c) A: numbers less than 5; B: all negative numbers
A = {, , ,, -3, -2, -1, 0, 1, 2, 3, 4}
B = {, , , , -3, -2, -1}
A ∩ B = { , , , , -3, -2, -1}
This is not a disjoint set.
d) A: numbers above 100; B: numbers less than -200
A = {101, 102, 103, 104, ,,,,,,}
B = {, , , , -204, -203, -202, -201}
A ∩ B = Ф
There are no common values between set A and set B.
This is a disjoint set.
Thus,
A: numbers above 100; B: numbers less than -200 is a disjoint set.
Option D is the correct answer.
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Help me plz and show work <3
Answer:
y = (5-2x)/7 = 5/7 - 2x/7. option C
Step-by-step explanation:
here's your solution
=> 7y + 2x = 5
=> 7y = 5 - 2x
=> y = (5-2x)/7
[tex]\huge\mathfrak\red{hope \: it \: helps...}[/tex]
can someone help? i’ll give brainliest!!
Answer:
Add the numbers that have the same variables and exponents. Hope this helps!
Step-by-step explanation:
Answer:
-3x³ - 4x - 9
Step-by-step explanation:
-5x + x - 6x³ - 4 - 5 + 6x³ - 3x³
-6x³ + 6x³ - 3x³ - 5x + x - 4 - 5
-3x³ - 4x - 9
Of Jamia’s 10 scrunchies, ⅖ are pink. How many are pink?
Answer:
4 are pink
Step-by-step explanation:
We have an uneven denominator So basically we Times 2/5 by 2/2
and we get 4/10
So out of the 10, 4 are Pink.
I hope this helps!
Given f(x) = -x + 1, solve for x when f(x) = 0.
Answer:
f(x) = -x + 1
0 = -x + 1
x = 1
Step-by-step explanation:
You put 0 in place of f(x).
A skateboarder goes off of a ramp at a speed of 52 ft./s. The ramp is 5 ft. above the ground with a 30°
angle of elevation. Which set of parametric equations represents the skater's jump? The acceleration due
to gravity is 32 ft/s^2.
The set of parametric equations representing the skater's jump is:
x = 52t
y = 5 + 16t²
We have,
Let's denote the time as t.
Horizontal motion:
The skateboarder's horizontal velocity remains constant throughout the jump, so the horizontal position (x) can be represented as:
x = vt
where v is the horizontal velocity, which in this case is 52 ft/s.
Vertical motion:
The vertical position (y) can be determined using the equations of motion under constant acceleration.
The skateboarder experiences acceleration due to gravity (g) acting downward.
The initial vertical position is 5 ft, and the initial vertical velocity is
0 ft/s.
Using the equation of motion:
[tex]y = y_0 + vy_0t + 0.5gt^2[/tex]
Substituting the given values:
y = 5 + 0t + 0.5(32)t²
y = 5 + 16t²
Thus,
The set of parametric equations representing the skater's jump is:
x = 52t
y = 5 + 16t²
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Find the missing angle.
Round to the nearest tenth.
B = 50°
b = 8
a = 10
A=
Answer: 73.2 degrees
Step-by-step explanation:
Have a great summer
I need help. No links or I will report.
Answer:
Step-by-step explanation: 122 degrees
I am very confused- Can someone help within an hour-
Someone please help will mark as brainliest
Answer:
Perpendicular(p)=21
base(b)=20
hypotenuse(h)=29
Step-by-step explanation:
Now by using the formula:
cos A=b/h
i.e 20 by 29
Graph y=3x^2 show all steps please
Answer:
In image
Step-by-step explanation:
if y=3x^2
if x is 1 y is 3 because if you substitute x for 1, 1^2 = 1, And 3•1 = 3
if x is 2 y is 12 because if you substitute x for 2, 2^2 = 4 and 3•4 =12
Keep going using this formula, You can go into the negatives by substituting x for a negative number aka -1 or -2
What value of a would make the graph of f(x) = ax² open up?
Answer:
dont knohfxvggxhb cbbvc
PLZ HELP WILL MARK BRAINLIEST!!!
Answer:
(0-8)
Step-by-step explanation:
the z represents a unknown number.=, and because it equals y it starts at 0. so (0-8)
Terry wants to order tickets online for an amusement park. The cost of the tickets is
$15.00 per person. There is also a $3.50 one-time service fee for ordering tickets online.
Write an expression in terms of n that represents the cost for ordering n tickets online.
Answer:
15x+3.5=N
Step-by-step explanation:
hope this helps :)
Answer:
15.00n+3.50
Step-by-step explanation:
I think it is that scence I am not sure what the todal is but if that is wrong just flip flop it scence $15 will always be with the vareable in this case scence it isthe only number that can change but multiplying with 2+.
Find the volume and surface area of the composite figure shown below if the figure is built with unit cubes.
Answer:
the volume is 18 and the surface area is 46
Step-by-step explanation:
The volume of the cube will be and the surface area of the cube will be square units.
What is volume?Volume is defined as the space covered by any solid body in the three-dimensional plane. The volume of the cube will be calculated by multiplying all three sides of the cube.
The volume will be calculated as below:-
The formula to calculate the volume = l x w x h
The volume of the first part = 2 x 2 x 3 = 12 cubic units
The volume of the Second part = 2 x 2 x 1 = 4 cubic units
The volume of the third part = 2 x 1 x 1 = 2
Total volume of the cube = 12 + 4 + 2 = 18 cubic units.
The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
The surface area will be calculated as below:-
Surface area of the base = 2 ( 4 x 2) + 2( 2x 1) + 2 ( 4x 1) = 28
Surface area of the middle = 2 ( 3 x 2 ) + 2 ( 2 x 1 ) + 2 ( 3 x 1) = 22
Surface area of the upper side = 2 ( 2 x 2) +2 ( 1 x 2 ) + 2 ( 1 x 2) = 16
The total surface area is calculated as below:-
Total = 28 + 22 + 16 = 66 square units.
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The table shows a student's work when solving the equation 8x-(4x-3)=5.
Which statemen ais true?
Answer:
x = 1/2
Step-by-step explanation:
8x-(4x-3)=5
Distribute the minus sign
8x -4x +3 = 5
Combine like terms
4x+3 =5
Subtract 3 from each side
4x+3-3 = 5-3
4x = 2
4x/4 = 2/4
x = 1/2
Which function has the greater maximum value: f(x) = -2x2 + 8x-1, or g(x),
the function in the graph?
A. Ax)
B. g(x)
C. The functions have the same maximum value.
Answer:
It’s f(x)
Step-by-step explanation:
Determine the center and radius of the following circle equation:
+ y2 – 123 + 8y – 48 = 0
Answer:
it's 10
Step-by-step explanation:
don't know the steps
what is [tex]\frac{69}{100}[/tex] in simplest form?
8 x 9 = 8 x(5+ _)
= (8 x 5) + (8 x _)
= 40 + _
= _
Answer:
B
Step-by-step explanation:
i hate math
The mean absolute deviation is 46,54,43,57,50,62,78,42
The mean absolute deviation (MAD) of the given set of numbers is 8.75.
What is the mean absolute deviation (MAD)?The mean absolute deviation (MAD) of a group of data points is a statistical metric used to evaluate its dispersion or variability. It indicates how far off the data values are from the mean (average) of the data collection.
Let's calculate the MAD for the given set of numbers: 46, 54, 43, 57, 50, 62, 78, 42.
Calculate the mean:
Mean = (46 + 54 + 43 + 57 + 50 + 62 + 78 + 42) / 8 = 432 / 8 = 54
Find the absolute difference between each number and the mean:
|46 - 54| = 8
|54 - 54| = 0
|43 - 54| = 11
|57 - 54| = 3
|50 - 54| = 4
|62 - 54| = 8
|78 - 54| = 24
|42 - 54| = 12
Calculate the average of these absolute differences:
MAD = (8 + 0 + 11 + 3 + 4 + 8 + 24 + 12) / 8 = 70 / 8 = 8.75
Therefore, the mean absolute deviation (MAD) of the given set of numbers is 8.75.
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3)
1
Find the slope of a line parallel to y = 2x +3.
A)
-2
B)
1
2
C)
1
2
2
Answer:
1/2
Step-by-step explanation:
Parallel lines always have the same slope
• Check your work when you're done.
Your Assignment
A bag contains 5 marbles. There are 3 yellow marbles and 2 red marbles.
Suppose that Glen chooses a marble first and then Kris chooses one.
Answer the questions to show the probability that Kris will get a yellow marble if
Glen chooses a yellow one first.
1. What is the probability that Glen will get a yellow marble? Show how you
calculated this probability.
Write your answer in the space below.
i
A car travels for 2 hours 15
minutes at an average speed
of 64 mph. Calculate the
distance travelled.
Answer:
231.746 km
Step-by-step explanation:
Formula: [tex]distance = speed[/tex] × [tex]time[/tex]
Solution: To solve for distance use the formula for distance
Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour. If rate r is the same as speed s, r = s = d/t. You can use the equivalent formula d = rt which means distance equals rate times time.
Firstly, convert the time from hours to minutes
2 hr 15 min = 2.25 hr
or 2.25 hr = 135 min
Now, use the formula:
135 × 64 = 8640
In km, the distance traveled is 231.74
if tanθcscθ = 3, find the value of cosθ
Answer:
1.5
Step-by-step explanation:
[tex]\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}[/tex]
Let's Solve :
[tex] \tan( \theta) \csc(\theta) = 3[/tex][tex] \dfrac{ \sin(\theta) }{ \cos(\theta) } \times \dfrac{1}{ \sin(\theta) } = 3[/tex][tex] \dfrac{1}{ \cos( \theta) } = 3[/tex][tex] \cos(\theta) = \dfrac{1}{3} [/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Help pls! Giving brainliest !!
Answer:
Can you take a better picture plz because I can’t see the pic.
Step-by-step explanation:
Answer for brainliest
Answer:
x = 2
Step-by-step explanation:
The measure of minor arc FD is 51x + 1
The measure of major arc FD is 360 - (51x + 1)
m<E = ½[m(major arc FD) - m(minor arc FD)]
36x + 5 = ½[360 - (51x + 1) - (51x + 1)]
72x + 10 = 360 - 51x - 1 - 51x - 1
174x = 348
x = 2