If a certain stock has grown continuously from 1980 to 2015, for this period of time its average annual growth rate is 18%.
It is given that A certain stock has grown continuously from 1980 to 2015.
Stock's initial value in 1980 (I) = $10,000
Stock's final value in 2015 (F) = $3,500,000
time period t = 2015-1980 = 35 years.
Since, the stock has grown continuously, it should have grown compounded annually.
Stock's average annual growth rate (r) is calculated as:
[tex]\text{r} = {(\dfrac{F}{I})^{\frac{1}{t}}-1[/tex]
Substitute all the given values in the above formula:
[tex]\text{r} ={ (\dfrac{3500000}{10000})^{\frac{1}{35}}-1[/tex]
[tex]\text{r} = {(350})^{\frac{1}{35}}-1[/tex]
[tex]r = (350)^{0.02857142857}-1[/tex]
[tex]r=1.18219102629-1[/tex]
[tex]r=0.18219102629[/tex]
[tex]r=0.18[/tex]
[tex]r\approx 18\%[/tex]
Hence, stock's average annual growth rate during the period of 35 years is 18%.
Learn more about growth rate here:
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9514 1404 393
Answer:
64r -48r -144
Step-by-step explanation:
The January cost expression is ...
62p -48p -144 -432 = profit
The cost is identified as having 3 components, so the profit will have 4 components:
(selling price)×p - ((cost per unit)×p +(fixed monthly cost)) -(first month startup cost) = profit
Comparing this to the given equation, we identify the components as ...
selling price = 62
cost per unit = 48
fixed monthly cost = 144
first month startup cost = 432
We note that 432 = 3×144, so is consistent with the description of startup costs.
Increasing the selling price by $2 will raise it from 62 to 64. In February, the initial month startup cost disappears, so the profit equation becomes ...
(selling price)×r - ((cost per unit)×r +(fixed monthly cost)) = profit
64r -48r -144 = profit
Find the equation of the line. Use the exact numbers.
Equation: y = _____ x _____
bye cus im so bad at math smh.
on top it says:
“The graph shows the amount two cleaning companies are charged based on the number of hours it takes them to clean.”
SOMEONE HELP PLS
The answer is the third one. Trust me. I don't feel like explaining.
Step-by-step explanation:
can someone please help .. will mark brainliest !
Answer:
B and B
Step-by-step explanation:
The first one is B because all of the slopes are negative except B. And so I think that's the correct answer
The second one I know is B for sure, I remember learning it in 8th grade 2 years ago.
It's really just the first one I am second guessing myself on but B and B make sense to me :)
Item 18
Write the word sentence as an equation. Then solve.
10 more than a number c is 3.
Equation:
Solution: c=
Answer:
I would say c is .3 . The equation is 3÷10
Step-by-step explanation:
because its saying c times 10 is 3 and the reverse of multiplication is division. So you divide 3 by 10 to find c Hope This helps!! C is 0.3
What number is 7.5 more than 7.4?
Answer:
the answer is 14.9
bologna is hot dog pancakes! ;)
Answer:
cool
Step-by-step explanation:
I have no idea what this means but good on u:)
Answer: haha is it weird that i want bologna now lol
Step-by-step explanation: have a nice night :)
What is the slope of (10, 10) and (2, 1).
Answer:
9/8
Step-by-step explanation:
my work is in the picture. lmk if you'd like me to explain more
With a coupon, you get a pair of shoes that normally cost $80.00 for 30% off. How much is the discount?
Answer: The discount is 24$ so the 80$ shoes are now 56$.
What is the value of 8 + 4(-3)?
Answer:
-4
Step-by-step explanation:
8+4(-3)
first solve 4(-3)
4(-3)
4*-3=-12
8+(-12)
8-12
-4
HELPPPPP its geo and I need help
Answer:
61
Step-by-step explanation:
first we set <B and <E equal to each other to find x (they are equal because it is a given in the phrase below the pics)
5x + 8 = 7x - 12
5x + 20 = 7x
20 = 2x
10 = x
now we know x is 10, so substitute it into an equation to find the measure of the vertex of the triangles
5(10) + 8 = 58
subtract 58 from 180 to find what the base angles are combined
180 - 58 = 122
since there are two congruent base angles (the base angles of isosceles triangles are always congruent), we have to divide 122 by 2 to find the measure of a base angle
122 ÷ 2 = 61
<F is a base angle, so <F is 61
What is an equation of the function shown in the graph?
O A. y = 3x - 12
O B. y = 1x +3
O C. y= 1x - 12
O D. y = 4x + 3
PLEASE HELP ME!!
ms kim borrowed 1350 to buy to used a automobile if she repays 75 a month how many months will it take ro pay back the loan
Answer:
18 months
Step-by-step explanation:
since 1350/75 is 18
Write the point-slope form of the given line that passes through the points (0, 3) and (4,0). Identify (x, y) as the X-
Intercept of the line. Include your work in your final answer. Type your answer in the box provided to submit your
solution.
Answer:
y-3= -3/4 -(x+0)
Step-by-step explanation:
y2-y1 3-0= 3
x2-x1 0-4= -4
slope is - 3/4
y= mx=b
y = -3/4x + 3
?????Help please?????? I’ll cashapp u
Answer:
x int = (-2,0) (2,0)
y int = (0,12)
Step-by-step explanation:
my work is in the picture attached
anything in color is what I did in that certain step
im lost on this one
C. Solve for each quotient:
8÷5/8
I Mark brainlies
Answer:
12.8
Step-by-step explanation:
8÷5/8 is also the same as:
8 x 1/5 x 8
Proof:
will give BRAINLIEST!
Answer:
3&5
Step-by-step explanation:
Answer:
the 3rd or 4th
Step-by-step explanation:
The ratio of the angle measure of the acute angle in a right triangle is 1:3
Answer:
2:6 because 2:6 is equivalent to 1:3
Step-by-step explanation:
1x1=1 and 3x2=6
There are 40 DuBois students going on a field trip. Each one pays their teacher $8.75 to cover admission to the museum and lunch. Admission for the students is $120 and each one gets an equal amount to spend on lunch. How much will each DuBois student be able to spend on lunch? *
Given :
There are 40 DuBois students going on a field trip.
Each one pays their teacher $8.75 to cover admission to the museum and lunch.
Admission for the students is $120 and each one gets an equal amount to spend on lunch.
To Find :
How much will each DuBois student be able to spend on lunch.
Solution :
Amount they paid for admission :
[tex]P =\$ \dfrac{120}{40}\\\\P=\$3[/tex]
Now, amount of money to spend on lunch is $8.75 - $3 = $5.75 .
Hence, this is the required solution.
Michael is building a fence around his garden to keep the rabbits out. The perimeter of his garden is 42 feet. If the length of the garden is 5 more than the width, what are the dimensions of the fence? Hint: draw a rectangle, and label all 4 sides for the length and width, given what you know this is the last question on my test please help me
Solve for x
3x−8≤23 AND −4x+26≥6
Answer:
Step-by-step explanation:
Ok so the first one is X<31/3
And the second one is X>-5
What is y+3=7(x-2) written in standard form?
Answer:
7x-y=17
Step-by-step explanation:
Answer:
7x-y=17
Step-by-step explanation:
A town population of 14000 and grows 3.5% every year. What will be the population after 14 years to the nearest whole number
Answer:
22662
Step-by-step explanation:
Since the growth is exponential, your equation will be y = a • b^x. a being the beginning amount, b the percentage it increases by, and x is the time taken.
y = 14000 • 1.035^14
= 22661.72
Round your answer since people can only be integers and your answer is a population of 22662
To adopt a dog from an animal shelter you must pay 80$ for vaccinations 65 to spay or neuter the dog and 50 for wellness exam
HELP ASAP. ABC is an isosceles triangle.
Answer:
please make it more clear
Step-by-step explanation:
what you are asking
solve for x if 2(5x + 2)^2 = 48
Answer:
(c) is the Correct answer of this
Step-by-step explanation:
First divide both sides by 2
then apply (a+b)^2 = a^2+b^2+2ab formula
solve quadratic equation
then apply discriminant formula
Hope you get it dear ☺️
Someone help me with this please !!!!!:(
Answer:
8.1.
Step-by-step explanation:
a^2+b^2=c^2
8^2+2^2=c^2
64+4
68
and you square root it and get 8.2 so i giras is 8.1
hope it helps.
-28+4x=4(x-7) how many solutions marking brainlest
Answer:
x^2 + 5 x + =0
Step-by-step explanation:
We need to factor this trinomial by grouping.
The first step in this process consists of splitting the middle term into two terms.
In our example, 5x has been split into 2x and .
Notice that one common factor can be factored from the first 2 terms, and another from the second 2 terms
Two students used different methods to measure the length of their model bridge
project. One student measured the bridge length in feet using 11n−2.9. The second
student measured the bridge length in feet using 5n + 6.4 What is the value of n if
the two measurements are equal?
Answer:
Two students used different methods to measure the length of their model bridge
project. One student measured the bridge length in feet using 11n−2.9. The second
student measured the bridge length in feet using 5n + 6.4 What is the value of n if
the two measurements are equal?
Step-by-step explanation:
Two students used different methods to measure the length of their model bridge
project. One student measured the bridge length in feet using 11n−2.9. The second
student measured the bridge length in feet using 5n + 6.4 What is the value of n if
the two measurements are equal?