The stock was worth $85. What will the stock be worth in 7 years? WhThe value of πPhone stock has increased 8% each year for the past several years. In 2020,at was the stock worth in 2016? Equation: 7 years from now? In 2016?
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.
Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector and as a linear combination of unit vectors i and j.
Answer:
Vector (ordered pair - rectangular form)
[tex]\vec F = (27.189,12.679)\,[lbf][/tex]
Vector (ordered pair - polar form)
[tex]\vec F = (30\,lbf, 25^{\circ})[/tex]
Sum of vectorial components (linear combination)
[tex]\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N][/tex]
Step-by-step explanation:
From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.
The force ([tex]\vec F[/tex]), in pounds-force, can be modelled in two forms:
Vector (ordered pair - rectangular form)
[tex]\vec F = \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right)[/tex] (1)
Vector (ordered pair - polar form)
[tex]\vec F = \left(\|\vec F\|, \theta\right)[/tex]
Sum of vectorial components (linear combination)
[tex]\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j}[/tex] (2)
Where:
[tex]\|\vec F\|[/tex] - Norm of the vector force, in newtons.
[tex]\theta[/tex] - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.
[tex]\hat{i}[/tex], [tex]\hat{j}[/tex] - Orthogonal axes, no unit.
If we know that [tex]\|\vec F\| = 30\,lbf[/tex] and [tex]\theta = 25^{\circ}[/tex], then the force exerted on the wagon is:
Vector (ordered pair - rectangular form)
[tex]\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf][/tex]
[tex]\vec F = (27.189,12.679)\,[lbf][/tex]
Vector (ordered pair - polar form)
[tex]\vec F = (30\,lbf, 25^{\circ})[/tex]
Sum of vectorial components (linear combination)
[tex]\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N][/tex]
[tex]\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N][/tex]
Simplify:
[tex]\sqrt[3]{\frac{x^2}{8y^{-1}} }[/tex]
Thank you!
Answer:
hope this will help you more
good luck...
Answer:
[tex] \frac{ {x}^{ \frac{2}{3} } {y}^{ \frac{1}{3} } }{2} [/tex]
Answer C is correct
Step-by-step explanation:
[tex] \sqrt[3]{ \frac{ {x}^{2} }{8 {y}^{ - 1} } } \\ \frac{ {x}^{2 \times \frac{1}{3} } \times {y}^{1 \times \frac{1}{3} } }{ \sqrt[3]{8} } \\ = \frac{ {x}^{ \frac{2}{3} } {y}^{ \frac{1}{3} } }{2} [/tex]
A.) Kokochi walks 4 and 1 twelfth miles in one day. He walks the same distance for one week. How many miles does Kokochi walk?
B.) The next week, Kokochi walks 8 and 1 fourth miles in one day for a week. How many miles does Kokochi walk?
C.) What is the distance Kokochi walked if the answers to part A and B were combined?
Answer:
A) 28 7/12, or 343/12, or 28.583
B) 57.75
C) 86.3 or 86 1/3
Step-by-step explanation:
When Natalie commutes to work, the amount of time it takes her to arrive is normally
distributed with a mean of 25 minutes and a standard deviation of 4 minutes. Using
the empirical rule, what percentage of her commutes will be between 17 and 33
minutes?
Answer: 95%
Step-by-step explanation:
This is so hard help
Answer:
Ik it
Step-by-step explanation:
Fatima is saving up to buy a $300 bike. She saves $25 each week from her babysitting money. Which linear equation represents the amount Fatima still has to save after x weeks?
y = 25x + 300
y = 25x – 300
y = –25x – 300
y = –25x + 300
one of those
Answer:
y=−25x+300
Step-by-step explanation:
have a good day/night
may i please have a branlliest
What is the domain of the relation?
A. {-4, -2, 1.4)
B. {-2, 1, 4)
C. {-2, 1, 4,4}
D. (-4.-2).(-2, 1), (1.4). (4.4)
Answer:
A{-4,-2,1,4} is the domain of function.
stay safe healthy and happy.Simplify the following expression log(x^2)-log(x)
Answer:log a - log b = log (a/b) than use this formula will get
log x^2 -log x = log (x^2 /x) = log x
so answer is log x
Step-by-step explanation:
Martha's salary is $52,000 this year, and increases by 8% each year. She pays 17.5% of her salary in taxes. What will be Martha's net pay NEXT year?
Answer:
Martha's net pay next year is $46,332.
Step-by-step explanation:
First, you have to calculate the increase by multiplying the salary for 8% and adding the result to the salary:
$52,000*8%= $4,160
$52,000+$4,160= $56,160
Now, in order to find the net pay next year, you have to calculate the tax by multiplying the salary for the tax percentage and subtracting that from the salary:
$56,160*17.5%= $9,828
$56,160-$9,828= $46,332
According to this, the answer is that Martha's net pay next year is $46,332.
The temperature at 3:00 PM was 35°F. The
temperature had dropped 45 degrees by 9:00 PM.
What was the temperature in degrees Fahrenheit at
9:00 PM ?
Answer:
- 10 degrees Fahrenheit at 9:00 PM
Step-by-step explanation:
35 - 45 = -10
An isosceles triangle has two angles that measure 37 degrees. What is the measure of the third angle
Answer:
106°
Step-by-step explanation:
An isosceles triangle has 2 sides of the same length. All triangles add up to 180°
37 + 37 + x = 180
74 + x = 180
x = 106
PLEASE HELP WITH THISSS
Answer:
See the attached
Step-by-step explanation:
I left last bits to you as it is about checking your understanding
A triangular prism has length 20 cm.
The sides of the shaded cross-section are 4 cm, 11 cm and x cm.
The angle between the sides of length 4 cm and 11 cm is 125º.
calculate x
A point in the figure is selected at random. Find the probability that the point will be in the shaded region
Answer:
60%
Step-by-step explanation
Answer:
60
Step-by-step explanation:
A tree casts a shadow that is 12 meters long. The distance from the top of the tree to the end of the shadow is 13 meters. What is the height of the tree? A.5m B.About 18m C.25m D.About 30m
Answer:
5M
Step-by-step explanation:
There are 6 people who want to share 17 ride tickets for the carnival. Each person will get an equal number of tickets. How many tickets will each person get? How many tickets will be left over?
Answer:
5 people will get 3 tickets and one person will get 2.
Step-by-step explanation:
5x3= 15 , 2 tickets left.
Vilgot made a hat, then a scarf. He graphed the relationship between the total weight (in grams) of the yarn he had used and the length (in centimeters) of the scarf.
What feature of the graph represents how much of the yarn Vilgot used for the hat?
Answer:
x-intercept
Step-by-step explanation:
50 PTS!!!
Please look at the screenshot and answer:
Look for a pattern in the data set to determine which kind of model best describes the data.
Answer:
the data of the cubic
as it the distance between the two integers closed under addition
What type of angle is this pls hurry!
Answer:
Its an Obtuse angles
Step-by-step explanation:
x+79=2x-37
(x+79)+(-79)=(2x-37)+(-79)
x+79-79=(2x-37)-79
x=2x-37-79
x=116
An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.
Karen and Max tracked the number of emails that they received each day over the last month. Which statement is supported by the data?
A. Max and Karen’s IQR values are the same.
B. Max’s median is greater than Karen’s median.
C. Max’s maximum is greater than Karen’s maximum.
D. Max’s data is more symmetrical than Karen’s data.
Answer:
Step-by-step explanation:
Can someone pleaseeee help and if you’re correct i’ll give brainliest
solve this system of equations using the substitution method
y=x+7
-2x-11=y
Answer:
x=-6, y=1
Step-by-step explanation:
Let's solve your system by substitution.
y=x+7;−2x−11=y
Step: Solve y=x+7 for y:
y=x+7
Step: Substitute x+7 for y in −2x−11=y:
−2x−11=y
−2x−11=x+7
−2x−11+−x=x+7+−x(Add -x to both sides)
−3x−11=7
−3x−11+11=7+11(Add 11 to both sides)
−3x=18
−3x/ −3 = 18/ −3 (Divide both sides by -3)
x=−6
Step: Substitute−6 for x in y=x+7:
y=x+7
y=−6+7
y=1 (Simplify both sides of the equation)
Answer:
x=−6 and y=1
is anyone have the answer to 9,576,984.9874 x 98.84
Answer:
946589196.155
Step-by-step explanation:
Hope that helps
Which angle has a cotangent value of -1?
a. Quadrant 1
b. Quadrant 2
c. 120 degrees
d. 135 degrees
Answer:
Solution given:
cotangent x=cot x=-1
now
x=cot -¹(-1)
x=180-45°
x=135°
So
ans is d. 135 degrees.
as cot is negative in 2nd quadrant.
Find the circumference.
Use 3.14 for tı.
-
r = 6 ft
C = [?] ft
C=rd
Answer:
37.69911184
Step-by-step explanation:
because circumference is equal to pi multiplied by diameter, you will not get the circumference with the radius times pi. in order to get the diameter, you multiply the radius by 2, because the diameter is the length across the circle. So the diameter of this circle is equal to 12. so simply multiply that number by pi (3.14) and there is your answer. Hope i helped.
help please
12) In the accompanying diagram of circle O, AB is a chord and PQ is a tangent.
Line segment BOC is a diameter and DEOFP is a secant that passes through the center of the circle. ArcDA ArcAC: ArcCF = 2:10:6, and ArcBQ = 80°.
Find:
a) Arc AC
b) m angle ABC
c) m angle COF
d) Arc BD
e) Arc QF
f) m
Find two numbers between 100 and 150 with HCF 24
Answer:
120 and 144
120÷24=5
144÷24=6
PLZZZ HELPP MEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
question 1
[tex]6 {x}^{4} - 36 {x}^{3} \\ 6 {x}^{3} (x - 6)[/tex]
question 2
[tex]64 {x}^{2} + 48x + 9 \\ {(8x + 3)}^{2} [/tex]
Find the measure of the indicated angle to the nearest degree
Answer:
39
Step-by-step explanation: