9514 1404 393
Answer:
4.59 g
Step-by-step explanation:
The half-life is given as 5 years, so the amount remaining after 9 years will be ...
remaining = initial × (1/2)^(t/(half-life))
remaining = (16 g)×(1/2)^(9/5) ≈ 4.59 g
About 4.59 g of the substance will remain after 9 years.
A stock analyst plots the price per share of a certain common stock as a function of time and finds that it can be approximated by the function S(t)=46+12e^−0.04t, where t is the time (in years) since the stock was purchased. Find the average price of the stock over the first six years.
Answer:
The average price of the stock over the first six years is 56.669 US dollars.
Step-by-step explanation:
Since the price is a continuous and differentiable function, we can determine the average price by means of the following integral equation:
[tex]\bar S = \frac{1}{t_{F}-t_{O}}\cdot \int\limits^{t_{F}}_{t_{O}} {S(t)} \, dt[/tex] (1)
Where:
[tex]t_{O}[/tex] - Initial time, measured in years.
[tex]t_{F}[/tex] - Final time, measured in years.
If we know that [tex]t_{O} = 0\,yr[/tex], [tex]t_{F} = 6\,yr[/tex] and [tex]S(t) = 46+12\cdot e^{-0.04\cdot t}[/tex], then the average price of the stock over the first six years is:
[tex]\bar S = \frac{46}{6-0} \int\limits^6_0 dt +\frac{12}{6-0}\int\limits^6_0 {e^{-0.04\cdot t}} \, dt[/tex]
[tex]\bar S = \frac{23}{3}\cdot t|\limits_{0}^{6}-\frac{2}{0.04}\cdot e^{-0.04\cdot t}|_{0}^{6}[/tex] (2)
[tex]\bar S = \frac{23}{3}\cdot (6-0)-\frac{2}{0.04}\cdot [e^{-0.04\cdot (6)}-1][/tex]
[tex]\bar S = 56.669\,USD[/tex]
The average price of the stock over the first six years is 56.669 US dollars.
Which is true about the data shown in the scatter plot
Answer:
d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Got it right in use test prep
What is the Slope of the slide?
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Points on line: (1,2) (3,3)
[tex]\frac{2-3}{1-3}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
PLS HELP I ONLY HAVE 30 MINS
Question 5 (4 points)
(04.02)
Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 3 and 2, 6 and 3, 7. These points are joined by a line. The label on the x-axis is Number of pans. The title on the y-axis is Number of cakes.
a
Yes, it is a proportional relationship because the graph goes through the origin
b
Yes, it is a proportional relationship because the graph is a straight line
c
No, it is not a proportional relationship because the graph is not a straight line
d
No, it is not a proportional relationship because the graph does not go through the origin
Answer:
C. It is not proportional because it is not a straight line.
Step-by-step explanation:
You can check to see if it is a straight line by setting up a table and ensuring that the values increase by the same amount every ordered pair.
------> The Answer Is C <------
Hope this helps have a good day :D
write equation asap
Answer:
y = 4/3x - 4.5
Step-by-step explanation:
1) find the slope 4/3
2) find the y-intercept
3) done ------> y = 4/3x - 4.5
Answer:
(5,2)(-1,-6)
Step-by-step explanation:
-6-2/-1-5
-8/-6
=4/3
Y+1=4/3(x+6)
Y+1=4/3x+8
Y=4/3x+7
The distance between the points (3,y1) and (11,11) is 17. What is a possible value of y1?
A.
4
B.
-2
C.
-4
D.
-3
A production process produces 5% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts
Answer:
0.0214
Step-by-step explanation:
Given that :
p = 5% = 0.05
Number of trials (n) = 5
probability that the sample contains exactly two defective parts
P(x = 2)
Using the binomial probability function :
P(x = x) = nCr * p^x * (1 - p)^(n-x)
P(x = 2) = 5C2 * 0.05^2 * (0.95)^3
P(x = 2) = 5C2 * 0.05^2 * (0.95)^3
P(x = 2) = 10 * 0.0025 * 0.857375
= 0.021434375
= 0.0214
Justine already owns 90 hair bands, and additional hair bands are priced at 5 for a dollar. With $124 to spend on new hair bands, how many total hair bands can Justine own? Write and solve an equation to find the answer.
Answer:
710 hairbands
Step-by-step explanation:
Total hairbands = (5*dollars spent) + 90
Max hairbands = (5 * 124) + 90
what number line shows the solution of -5x + 10 > -15
Answer: x<5
Step-by-step explanation: Subtract 10 from both sides. Simplify -15-10 to -25. Divide both sides by -5. Two negatives make a positive. Simplify 25/5 to 5.
Help ASAP Please. Working on this now. Look at picture for question and answer A, B, C
Answer:
look at step by step
Step-by-step explanation:
A) That is the number of bacteria that originally started in the culture
B) That is the rate at which the bacteria will reproduce
C) 1000 represents the number of bacteria at the beginning of the second culture.
The first study started with more bacteria, and will grow faster because of this
Your packaging orders at green market food suppliers.each crate holds four large bottles one in each quadrant identify the mixed fraction in simplified form of bottles in the tow crates in the drawing
Answer: 1/2
Step-by-step explanation:
Answer:
1 and 1/2
Step-by-step explanation:
Last week Len spent $18 to bowl 4 games. This week he spent $27 to bowl 6 games. Len owns his bowling ball and shoes, so he only has to pay for each game that he bowls. If each of these bowling games costs the same amount of money, what is the constant of proportionality between the money spent and the number of games played?
Answer:
$4.50/ g - Games
Step-by-step explanation:
$18
------------- = $4.50/g
4 g
$27
------- = $4.50/g
6 g
C(x) = ($4.50/game)x, where x is the # of games played.
How do I find slope and y-intercept??? Please help me!!
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
what is the maximum value of the function? explain what the maximum value of this represents in this situation. make sure to include information about the x-value and y-value in your explanation
wowwwww he just roasted youuuuuuuuuu!!!!!
I need help with math homework algebra #4
Answer:
A. (-5, 0) and (1, -3)
B. Slope (m) = -½
C. y + 3 = -½(x - 1)
D. y = -½x - ⁵/2
E. ½x + y = ⁵/2
Step-by-step explanation:
A. Two points on the line from the graph are: (-5, 0) and (1, -3)
B. The slope can be calculated using two points,(-5, 0) and (1, -3):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 0}{1 -(-5)} = \frac{-3}{6} = -\frac{1}{2} [/tex]
Slope (m) = -½
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (1, -3), and m = -½ into the point-slope equation, y - b = m(x - a).
Thus:
y - (-3) = -½(x - 1)
y + 3 = -½(x - 1)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y + 3 = -½(x - 1)
2(y + 3) = -1(x - 1)
2y + 6 = -x + 1
2y = -x + 1 - 6
2y = -x - 5
y = -x/2 - ⁵/2
y = -½x - ⁵/2
E. Convert the equation in (D) to standard form:
y = -½x - ⁵/2
½x + y = ⁵/2
I NEED HELP ASAP IT IS DUE TODAY!!,
Lori needs a length of twine 8.5 meters long to mark a row in her garden. Andrew needs a length of twine 7.28 meters long for his row. They have one length of twine that measures 16.29 meters.
After they each take the lengths they need, how much twine will be left?
Answer:
.51 meters of twine
Step-by-step explanation:
add the numbers of twine they each need which is 15.78 then subtract the 16.29 they have minus the 15.78 they need now you have a left over .51 meters
having trouble with this lesson could anyone help?
Answer:
13.7
Step-by-step explanation:
1.37 x 10^1
Solve the exponent.
1.37 x 10
13.7 is the standard form of 1.37 x 10^1.
Mark me brainliest plzz and thank you
make me brainliest by clicking the crown at the bottom of this answer next to the comments button thank you!!
determine which equation below have x =15 as a solution
Answer:
x-30=-15
Step-by-step explanation:
x-30=-15
subtact 30 from both sides
The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below. Negative 15 and one-half divided by 5 and three-fourths = negative StartFraction 31 over 2 EndFraction divided by StartFraction 23 over 4 EndFraction = negative StartFraction 31 over 2 EndFraction times StartFraction 23 over 4 EndFraction = Negative StartFraction 713 over 8 EndFraction When she checked the answer by estimating, it did not make sense. What error did Wen make? Wen incorrectly converted a mixed number to an improper fraction. Wen added the numerators and denominators instead of multiplying. Wen did not take the reciprocal of the divisor. Wen did not change the division problem to multiplication.
Answer:
a
Step-by-step explanation:
you should Mark me brainliest;)
A local little league has a total of 65 players, of whom 20% are right-handed. How many
right-handed players are there?
Answer:
13
Step-by-step explanation:
convert percent to decimal: .20
.20 x 65
13
Eric wishes to triple the recipe how much of each ingredient does
Answer:
wait what? sorry ,,,,,,,
Answer:
multiply
Step-by-step explanation:
it depends on how much eric has currently
Ex: eric has 3 teaspoons of water and 4 cups of flour
3x3=9
so he has 9 teaspoons intead of 3
4x3=12 so he needs 12 cups of flour
easy points but please answer with correct answer:)
Answer:
C
Step-by-step explanation:
A car travels 62 miles in 1.3 hours. If the car continues traveling at the same speed, how many hours will it take to travel 124 miles?
2.6 hours
3.2 hours
4.8 hours
5.4 hours
Mary Catherine made 5 gallons of punch for her party. How many cups of punch did she make?
Answer:
80
Step-by-step explanation:
What is 2345+ (27457+96584)6- 1/2 divided by 2
Answer:
746590.75
You can alos just type it into a calculator.
There are 125 people on a mountain trail. If 55 people on the trail are children, what percentage of the people on the trail are children?
Answer:
44%
Step-by-step explanation:
.44 x 125 equals 55 n
Answer:
The percentage of people who were children = 44%
Step-by-step explanation:
Total people = 125Children on the trail = 55We need to determine the percentage of the people on the trail who are children.
All we need is to divide 55 by the total number of people i.e. 125 and then multiply the result by 100.so
Children percentage = 55 / 125 × 100
= 0.44 × 100
= 44%
Therefore, the percentage of people who were children = 44%
Ava is making Vampire punch for the Halloween party. The recipe makes 12 servings and calls for 3/5 cups of cranberry juice. how much cranberry juice will she need for 15 servings
Answer:
15/20 cups of cranberry juice
Step-by-step explanation:
3/5 cranberry juice makes 12
12/2=6
3/5= 0.3
6/2=3
0.3/2= 0.15
0.15 = 3/20
3/20 cranberry juice makes 3 servings.
add 3 and 12 to make 15 servings, add 3/5 and 3/20.
3/5= 12/20
12/20 + 3/20 = 15/20 cups of cranberry juice
You deposit $600 in a account earning 5% interest compounded annually. How much will you have in the account in 15 years?
Answer:
$1050 in total including the interest.
Step-by-step explanation:
The answer is 1050 because 5% of 600 is 30 and 30 multiplied by 15 is 450, and 600 plus 450 is 1050
255.6 grams to ounces
Answer:
9.016025oz
Step-by-step explanation:
Answer: 9.016
Step-by-step explanation:
for an approximate result, divide the mass value by 28.35
4 pts
Question 1
Alan is decorating for a party. He wants one color of streamer, one type of
flower, and one color of tablecloth.
• The streamers can be red, blue, or yellow.
• The flowers can be tulips, daisies, or roses.
• The color of the tablecloth can be plaid, striped, or solid.
How many possible combinations are there?
BI
Search for anything
о
Answer:27
Step-by-step explanation:
3^3=27