The value of a stock in 1940 is $1.25. Its value grows by 7% each year after 1940.
Write an equation representing the value of the stock V(t), in dollars, t years after 1940.
toStep-by-step explanation:
1.25 each year plus 7% for each year
V(t) = t(m) + (c)
m is the gradient
c is the y-intercept
first m
m is what it changes by each year
it is 7% as it changes by 7% each year
we need 7% as a decimal though so
what is 7% as a decimal
write in comments if you don't know tell me
then i will do c
The representation of the value of stock in dollars after 1940 is given as
V(t) = $1.25(1 + 0.07)^t.
How to write the expression for a growing exponential?The growing exponential can be written generally as f(x) = N(1 + r)ˣ, where N is the initial value and r is the rate of growth.
To find the expression different values of x and f(x) should be known.
Given that,
The value of the stock in 1940 is $1.25.
And, its rate of growth per year is 7%.
The general expression for the growing exponential can be written as,
f(x) = N(1 + r)ˣ
The given data shows N = 1.25 and r = 7/100 = 0.07.
Thus, the required expression can be written as,
V(t) = 1.25(1 + 0.07)^t
Hence, the required expression for representing the value of the stock V(t), in dollars, t years after 1940 is V(t) = $1.25(1 + 0.07)^t.
To know more about exponential function click on,
https://brainly.com/question/14355665
#SPJ2
What type of figure is shown?
The base of the figure is a ___________
A: Prism
B: Rectangle (wrong)
C: Triangle
Answer:
1. triange 2. trangle prism
Step-by-step explanation:
Anuar has a collection of 80 toy vehicles. 3/5 of his toy vehicles are cars. The rest are motorcycles and buses. The number of motorcycles is 3 times the number of buses. How many toy motorcycles does Anuar have?
Answer:
He has 24 motorcycles
Step-by-step explanation:
I hope I could help!
Answer:
36 motorcycles
Step-by-step explanation:
calculate [tex]\frac{3}{5}[/tex] of 80
= [tex]\frac{3}{5}[/tex] × 80 ( cancel 5 and 80 by 5 )
= 3 × 16 = 48
there are 48 motorcycles and buses
let x be the number of buses then 3x is the number of motorcycles , then
x + 3x = 48
4x = 48 ( divide both sides by 4 )
x = 12
number of motorcycles = 3x = 3 × 12 = 36
Which of the following numbers can be expressed as repeating decimals? 4/7, 2/5, 7/8, 4/9
Answer:
4/7 & 4/9
Step-by-step explanation:
4/7 <-------- repeating decimal/rational4/9 <-------- repeating decimal/rationalNumbers with a repeating pattern of decimals are rational because when you put them into fractional form, both the numerator a and denominator b become non-fractional whole numbers. ------------------------------- 4/9A repeating decimal is a decimal number that goes on forever. We want to know if the decimal number you get when you divide the fraction 4/9 (4 ÷ 9) is repeating or non-repeating.Here are the steps to determine if 4/9 is a repeating decimal number:1) Find the denominator of 4/9 in its lowest form.The greatest common factor (GCF) of 4 and 9 is 1. Convert 4/9 to its simplest form by dividing the numerator and denominator by its GCF:4 ÷ 1/ 9 ÷ 1 = 4/9Thus, the denominator of 4/9 in its lowest form is 9.2) Find the prime factors of the answer in Step 1.The prime factors of 9 are all the prime numbers that you multiply together to get 9. The prime factors of 9 are:3 x 33) Determine if 4/9 is repeatingA fraction is a repeating decimal if the prime factors of the denominator of the fraction in its lowest form do not only contain 2s and/or 5s or do not have any prime factors at all. This is the case here, which means that our answer is as follows:4/9= repeating------------------------------------------ 4/7A repeating decimal is a decimal number that goes on forever. We want to know if the decimal number you get when you divide the fraction 4/7 (4 ÷ 7) is repeating or non-repeating.Here are the steps to determine if 4/7 is a repeating decimal number:1) Find the denominator of 4/7 in its lowest form.The greatest common factor (GCF) of 4 and 7 is 1. Convert 4/7 to its simplest form by dividing the numerator and denominator by its GCF:4÷1/7÷1=4/7Thus, the denominator of 4/7 in its lowest form is 7.2) Find the prime factors of the answer in Step 1.The prime factors of 7 are all the prime numbers that you multiply together to get 7. The prime factors of 7 are:73) Determine if 4/7 is repeatingA fraction is a repeating decimal if the prime factors of the denominator of the fraction in its lowest form do not only contain 2s and/or 5s or do not have any prime factors at all. This is the case here, which means that our answer is as follows:4/7= repeatingTherefore, the fraction 4/7 and 4/9 can be represented as repeating decimals.PLEASE HELP THIS IS MY 3RD TIME ASKING THIS PLEASE HELP
Read the passage, then answer the question that follows.
We were now near the front line. . . . We entered the line and drove, drove, drove. I can never describe it. It doesn't seem real. It is all a dream—a nightmare. Day after day, night after night, unceasingly. . . . Ollie Ames and Joyce Kilmer are buried side by side at the edge of the wood. . . . I sat there yesterday, thinking. “Ollie, Ollie!” . . . . I find myself thinking of Ollie constantly. I know I must stop, but he was my best friend, and he died so bravely that I cannot forget.
–Basil Beebe Elmer,
Letter to his parents, Herbert and Bertha Elmer,
August 5, 1918
Which best describes the emotional state of the narrator?
fearful and full of dread
horrified and grieving
disgusted and sad
trusting and grateful
Answer:
horrified and grieving
Step-by-step explanation:
it make the most sense since he said it was a nightmare and he misses them.
Answer:
fear I think because that person had N nightmare?????
If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a six?
I need a whole number btw.
Answer: Theoretically, 1 time
(a+4)^(2)-(a-1)^(2) please solve this rn please i need it
Answer:
10a + 15
Step-by-step explanation:
(a+4)^(2)-(a-1)^(2)
(a+4)^(2)
(a+4)(a+4) = (a^2 + 8a + 16)
(a-1)^(2)
(a-1)(a-1) = (a^2 -2a + 1)
(a^2 + 8a + 16) - (a^2 -2a + 1)
a^2 + 8a + 16 - a^2 +2a - 1
10a + 15
A car travels at a speed of 65 miles per hour. How far will it travel in 5 hours?
Answer: Distance = 325 miles
Step-by-step explanation:
Distance = speed*time
We can plug in the values given for time and speed:
Distance = 65 miles/h * 5 hours
Distance = 325 miles
Answer:
325 miles
Step-by-step explanation:
To find out how far the car will travel in 5 hours, we first need to know how far it will travel in one hour.
Well, we are given that information.
Since we know that the car travels 65 miles in 1 hour, we just have to multiply 65 by the number of hours it will drive, which is 5 in this case.
5 x 65 = 325
The car will drive 325 miles in 5 hours.
please help me quick I need it, i don't understand and it's due in 5 mins quick
Answer:
#3 and #4 and #6
Step-by-step explanation:
a function is when there is only one x for one y, so if two points have the same x value but different y value, they cannot be a function
Answer:
The third one, fourth one, and sixth one.
Step-by-step explanation:
If there are repeating x values in the domain, the function would not be valid, for vertical lines would form. Every input (domain) must only have one output (range), but every output can have multiple different inputs.
The ordered pairs for two points are listed in the table. What is the equation, in slope-intercept form, of the line that contains these points?
A. y = -6x + 2
B. y = -6x - 2
C. y = -2x + 6
D. y = -2x - 6
Slope:-
[tex]\\ \rm\rightarrowtail m=\dfrac{12}{-6}=-2[/tex]
Now
Equation in point slope form
[tex]\\ \rm\rightarrowtail y+12=-2(x-3)[/tex]
[tex]\\ \rm\rightarrowtail y+12=-2x+6[/tex]
[tex]\\ \rm\rightarrowtail y=-2x-6[/tex]
Option D
Answer:
D
Step-by-step explanation:
I took the quiz on EDGE 2022
Bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly $384 in interest after 3 years. How much money should he deposit?
A.
$80
B.
$8,000
C.
$6,144
D.
$800
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$384\\ P=\textit{original amount deposited}\\ r=rate\to 1.6\%\to \frac{1.6}{100}\dotfill &0.016\\ t=years\dotfill &3 \end{cases} \\\\\\ 384 = P(0.016)(3)\implies \cfrac{384}{(0.016)(3)}=P\implies 8000=P[/tex]
Last week, Kip went to the fair. It costs $4.59 to enter the fair and $1.25 per ticket. In the equation below, x represents the number of tickets Kip bought, and y represents the total amount Kip spent. y = $1.25x + $4.59 If Kip spent $23.34 at the fair, how many tickets did he buy? A. 12 B. 15 C. 22 D. 19
Answer:
B.) 15
Step-by-step explanation:
Fist you want to plug in 23.34 as your Y. Next you want to subtract 4.59 from 23.34. Finally, to get the variable alone, divide the answer you got from subtracting by 1.25.
Here is a system of linear equations
2x+3y=14
4x-3y=10
Which would be more helpful for solving the system: adding the two equations or subtracting one from the other?
Answer:
Adding the two equations
Step-by-step explanation:
2x+3y=14
4x-3y=10
_________
6x-0y=24
6x=24
x=4
see na too simple, u can find y using x=4 in any equation
If 2x/2y= 16, what is x-y
Answer:
15
Step-by-step explanation:
2x/2y = 16
First, we can cancel out the 2s as there is one on the numerator and another on the denominator.
x/y = 16
To make it fraction form, we know that 16 = 16/1.
x/y = 16/1
We then get x and y.
x = 16
y = 1
x - y = 15
2. What is the perimeter of a square whose
diagonal is 5 with the square root of 2 ft
Twelve units would make up the perimeter.
What is the value of v?
An exterior angle is equal to the sum of the two opposite inside angles.
v + 42 = v + v + 2
Simplify:
V + 42 = 2v + 2
Subtract 2 from both sides:
V + 40 = 2v
Subtract 1 v from both sides:
40 = v
Answer: v = 40
The seats at a local baseball stadium are arranged so that each row has five more seats than the row in front of it. If there are four seats in the first row, how many total seats are in the first 24 rows? (2 points)
1,428
1,476
2,856
2,952
Answer:
B
Step-by-step explanation:
This is a summation problem. The difference is the same all the way up.
First we have to find the last term.
t24 = a + (n - 1)*d
a = 4
n = 24
d = 5
t24 = 4 + (24 - 1)*5
t24 = 4 + 23*5
t24 = 4 + 115
t24 = 119
Now you can calculate the total
Sum = (a + t24)*n/2
Sum = (4 + 119)*24/2
Sum = (4 + 119)*12
Sum = 123 * 12
Sum = 1476
1) If 4 men take 18 days to paint a fence. Working at the same pace, how many men would be needed to paint the fence in 12 days?
2) It takes 6 men 14 hours to dig a drain. How many hours would it take 7 men to dig the same drain?
3) A bus takes takes 4 hours to reach its destination, travelling at a speed of 60 miles per hour. How many hours would it take to reach the same destination travelling at 80 miles per hour?
4) If 9 persons take 40 minutes to complete a task. Working at the same pace, how long would it take 6 persons to complete the same task?
5) If 8 men can mow a large piece of lawn in 9 hours, then how long would it take 9 men working at the same rate to mow the same lawn?
6) A car travels 150 miles in 3 hours. How many miles will it travel in 7 hours at this same rate?
7)Lia earns $7.50 per hour, at this rate; how much would she earn for 9 hours of work?
8) Alex can pack 64 oranges in 4 minutes, at this same pace; How many oranges could he pack in 1 minute?
9) A machine manufactures 400 units in 5 minutes. At this rate, How many units would it manufacture in 2 minutes?
10) A train travels 240 km in 4 hours, at this same speed; how much time would it take to travel 540 km?
Answer:
it will take 6men to work in 12days
it takes 6men to work in 13hours it will now take 7men to work 13
it will take 6 hours to travel at 80miles
it will take 6 men to complete the same work at 1 hour
it will take 9 men to mow a large piece of lawn in 8 hour
it will travel 50 miles is 7 hour
The length of a rectangle is 2cm greater than the width. If the width is increased by 4cm, the area is increased by 88cm^2. Find the original dimensions of the rectangle
Step-by-step explanation:
l = length
w = width
l = w + 2
l×w = area = (w + 2)×w = w² + 2w
l×(w + 4) = area + 88
(w + 2)×(w + 4) = w² + 2w + 88
w² + 6w + 8 = w² + 2w + 88
6w + 8 = 2w + 88
4w = 80
w = 20 cm
l = w + 2 = 20 + 2 = 22 cm
the original length is 22 cm.
the original width is 20 cm.
the original area (22×20) is therefore 440 cm².
the new area (22×24) would be 528 cm².
I need help on this question, please
Answer:
a. the percentage of the students who not drive a car is 44%
b. Number of students in 1 car
c. 1 = 3 i think
Step-by-step explanation:
11 / (14 + 11)
11/25
average is 2 i think
you can change the denominator to 100 by multiply 4, dont forget to do the same to the top
44/100
the percentage of the students who not drive a car is 44%
mean is average. to find the mean add all the given then divide by how many
sooo i think since it said "number of students in each car"
1 + 2 + 3 / 3
6 / 3
2 i think?
The solutions to the equations is
The percentage of students who do not travel by car is given by the equation A = 44 %
The mean number of students in each car is 2 students and the missing frequency is 3 cars
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The total number of students in the school = 25 students
The number of students who travel by car = 14 students
The number of students who do not travel by car = 11 students
So , the percentage of students who do not travel by car = ( number of students who do not travel by car x total number of students in the school ) x 100
Substituting the values in the equation , we get
The percentage of students who do not travel by car A = ( 11/25 ) x 100
On simplifying the equation , we get
The percentage of students who do not travel by car A = 0.44 x 100
The percentage of students who do not travel by car A = 44 %
And , the missing frequency is f = 3 cars
The total number of students in one car = 1 + 2 + 3 = 6 students
So , the mean number of students in each car = 6/3 = 2 students
Hence , the equations are solved
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Angles S and T are vertical angles. If angle S has a measure of ( x − 2 ) ∘, and angle T has a measure of 40 ∘, what is the value of x
Answer: 42
Step-by-step explanation:
Vertical angles have equal measure, so 40=x-2 -> x=42
Answer:
The answer is 42
Step-by-step explanation: To get your answer, you need to add like terms, but there is only one x value, so you need to add the numbers (like terms) and you'll have your answer.
what is the equation of the line with y intercept (0.8)and slope 3/5
Step-by-step explanation:
y = mx + b
m is slope
b is y-intercept
y = 3/5 x + 4/5
5y = 3x + 4
3x - 5y + 4 = 0
All three equations written above are correct, they are just in different formats :)
[tex]\mathbb{FINAL\;ANSWER:}[/tex]
[tex]\huge\boxed{\sf{y=\displaystyle\frac{3}{5} x+0.8}}[/tex]
[tex]\mathbb{SOLUTION:}[/tex]
Hi! Hope you are having a nice day!
[tex]\mathcal{GIVEN:}[/tex]
Slope of the lineThe line's y-intercept[tex]\mathcal{TO \ FIND:}[/tex]
The equation of the line using the given information[tex]\mathcal{PROCESS:}[/tex]
Should we write the equation of the line in Slope-Intercept Form or in Point-Slope Form?[tex]\mathcal{SLOPE-INTERCEPT\;FORM:}[/tex]
y=mx+bwhere m = slope of the linewhere b = y-intercept of the lineActually, we do have enough information to write the line's equation in Slope-Intercept form OR in Point-Slope Form.
However, let's write the equation in Slope-Intercept Form.
The y-intercept is 0.8, and the slope is [tex]\sf{\displaystyle\frac{3}{5} }[/tex].
Equation:y=mx+b
Plug m:
[tex]\sf{y=\displaystyle\frac{3}{5} x+b}[/tex]
Plug b:
[tex]\sf{y=\displaystyle\frac{3}{5} x+0.8}[/tex]
Hope you could understand everything.
#LearningIsFun
What is the principal solution to the equation?
x^2=121
Pls explain for brainliest and a like
1.step by step
2. correct answer
3. clearly explained
1. An unknown number of liters of mixture containing 6% boric acid is to be mixed with 2 liters of
a mixture which is 15% boric acid. The new solution created is to be at a concentration of 12%
boric acid. How much of the 6% solution must be used? Show all work.
Answer:
0.4
Step-by-step explanation
2/0.15+x/0.06=x+2/0.12
30=x/0.12+2/0.12
1.6+2x=x+2
x=0.4
Sophia went jet skiing while on vacation. she paid a flat rental fee of $85.00 plus $7.50 each day. if she had $130, how many days is she able to rent a jet ski?
Answer:
130-85=45
45/7.5=6
Step-by-step explanation:
so she would have 6 days to rent the jet ski if she wanted to spend all of her money on that.
A computer screen has a width of 15 inches and a height of 11 inches. Approximately what is the length of the screen’s diagonal?
Answer:18.6 you could search up the formula to help you solve it
Which of the following can be found by using a line plot?
Orange
O mode
hogy
median
mean
Answer:
range, mode, median, and mean can be found using a line plot
Step-by-step explanation:
mark me the brainliest
Find the measure of the missing angle .
Answer:
c = 99 and b = 81
Fill in the blank. Thomas buys a washer for $350 and a dryer for $300. The sales tax is 7.5%. How much will he pay for the washer and dryer, including sales tax?
Can someone who is good at math help me to do this?
10 points
Answer:
Yours: mean: 17; median: 17; mode: none
Friends: mean: 16.4; median: 17; mode: 20
You have the higher mean.
Step-by-step explanation:
a.
Your mean:
(18 + 16 + 19 + 15 + 17) / 5
= 17
Your median:
15 , 16, 17, 18, 19
= 17
Your mode:
15 , 16, 17, 18, 19
= No mode (no number comes up repeatly)
Your friend's mean:
(20 + 20 + 13 + 12 + 17) / 5
= 16.4
Your friend's median:
12, 13, 17, 20, 20
= 17
Your friend's mode:
12, 13, 17, 20, 20
= 20
b. Comparing your means, you have the higher mean