Answer: Approximately 51 years.
Step-by-step explanation: A population grows by changing exponentially over time, which can be mathematically demonstrated as:
[tex]P=P_{0}e^{rt}[/tex]
where
P is the population after time
P₀ is initial population, when time = 0
r is a percentage rate of growth
t is time passed
In this case, we have to calculate the amount of time it has passed for a population to double, so [tex]P=2P_{0}[/tex]:
[tex]2P_{0}=P_{0}e^{0.0135t}[/tex]
[tex]e^{0.0135t}=2[/tex]
[tex]ln(e^{0.0135t})=ln2[/tex]
Using Logarithm Rule [tex]ln(e^{k})=k[/tex]:
[tex]0.0135t=0.693[/tex]
t = 51.34
For a population with rate of 1.35%, it will take approximately 51 years to double.
Find the slope-intercept equation of the line that passes through (0,-1) and has a slope of -2/3 .
Answer:
y= -2/3x-1
Step-by-step explanation:
Hope this helps!
Jason buys a jar of vitamins that contains 180 tablets. He
saves $5 by using a coupon. He pays $11.20. What is the cost
of each tablet for someone who does not have a coupon?
Write and solve an equation for this situation. Solve the
problem.
Answer: 11 cents
Step-by-step explanation:
add 11.20 +5=16.20, then dived by 180, which equals .11
The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of chips and standard deviation chips.
Required:
a. What is the probability that a randomly selected bag contains between and chocolate chips, inclusive?
b. What is the probability that a randomly selected bag contains fewer than chocolate chips?
c. What proportion of bags contains more than chocolate chips?
d. What is the percentile rank of a bag that contains chocolate chips?
Answer:
Explained below.
Step-by-step explanation:
The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1262 chips and standard deviation 118 chips.
(a)
Compute the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips as follows:
[tex]P(1000<X<1400)=P(\frac{1000-1262}{118}<\frac{X-\mu}{\sigma}<\frac{1400-1262}{118})\\\\=P(-2.22<Z<1.17)\\\\=P(Z<1.17)-P(Z<-2.22)\\\\=0.87900-0.01321\\\\=0.86579\\\\\approx 0.8658[/tex]
Thus, the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips is 0.8658.
(b)
Compute the probability that a randomly selected bag contains fewer than 1000 chocolate chip as follows:
[tex]P(X<1000)=P(\frac{X-\mu}{\sigma}<\frac{1000-1262}{118})\\\\=P(Z<-2.22)\\\\=0.01321\\\\\approx 0.0132[/tex]
Thus, the probability that a randomly selected bag contains fewer than 1000 chocolate chip is 0.0132.
(c)
Compute the proportion of bags that contains more than 1200 chocolate chips as follows:
[tex]P(X>1200)=P(\frac{X-\mu}{\sigma}>\frac{1200-1262}{118})\\\\=P(Z<-0.53)\\\\=0.29806\\\\\approx 0.2981[/tex]
Thus, the proportion of bags that contains more than 1200 chocolate chips is 0.2981.
(d)
Compute the percentile rank of a bag that contains 1125 chocolate chips as follows:
[tex]P(X<1125)=P(\frac{X-\mu}{\sigma}<\frac{1125-1262}{118})\\\\=P(Z<-1.16)\\\\=0.12302\\\\\approx 0.123[/tex]
Thus, the percentile rank of a bag that contains 1125 chocolate chips is 12.3rd.
Which number has a value between -8.423 and -8.395?
A. -8.1
B. -8.75
C. - 8 1/2
D. 8 2/5
Answer:
Step-by-step explanation:
Jmeu eimejrimr
The number between -8.423 and -8.395 will be - 8 2/5.
What is Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts.
Given that;
Two numbers are,
⇒ - 8.423 and - 8.395
Now,
Since, Two numbers are,
⇒ - 8.423 and - 8.395
Clearly, - 8.1 is greater than - 8.423 and - 8.395.
Hence, It is not between the numbers - 8.423 and - 8.395.
Clearly, - 8.75 is less than - 8.423 and - 8.395.
Hence, It is not between the numbers - 8.423 and - 8.395.
Clearly, - 8 1/2 is less than - 8.423 and - 8.395.
Hence, It is not between the numbers - 8.423 and - 8.395.
Clearly, - 8 2/5 = - 8.4 is in between - 8.423 and - 8.395.
Hence, It is between the numbers - 8.423 and - 8.395.
Thus, The number between -8.423 and -8.395 will be - 8 2/5.
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NEED HELP ASAP!! (PIC ATTACHED)
Can someone help me with these?
Answer:
Luzilândia baiana não ia já ouvi falar em Maranhão que e Rosa do Brasil na rocha godprl e abaixa e viu neon
Help me pleaseeeeee pretty please please please
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
195
Step-by-step explanation:
Divide 91/7 which is 13 and multiply that by 15 to get the value of y when x is 15
Answer all three you get 100 points plus Brain-List
1. A 21,000-gallon swimming pool contains 9000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1500 gallons per hour.
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
2. Sherry needs to sell T-shirts as a fundraiser for a charity. She starts with 40 T-shirts and begins selling at a constant rate of 5 T-shirts each day.
Use the Segment tool to plot a graph representing the number of T-shirts Sherry has left to sell from the time she begins selling until the T-shirts are gone.
3. For a certain type of sand, 1 cubic foot weighs 80 pounds. The sand goes in a container that weighs 40 pounds.
Use the Ray tool to make a graph that shows the total weight of the container and sand, w, filled with n cubic feet of this sand.
Answer:
Can u put a picture of the thing
Step-by-step explanation
The population of a certain town is growing at a constant rate. Suppose the population is 1900 initially, and after 4 years the population is 2212. Which of these expresses the rate at which the population is increasing?
Answer:
The rate of change relates the change in population to the change in time. The population increased by 2212−1900=312 people over the four-years. To find the rate of change, divide the change in the number of people by the number of years.
2212−19004=3124
3124/4 =78
So the population increased by 78 people per year.
Because we are told that the population increased, we would expect the slope to be positive. This positive slope we calculated is therefore reasonable.
Zoe‘s graduation picnic cost $94 for the decorations plus an additional $10 for each attendee at Moose how many attendees can there be if Zoe budgets a total of $474 for her graduation picnic
Answer:
38 attendees.
Step-by-step explanation:
Subtract the cost of the decorations from the total (474 - 94). You are then left with $380 for all the attendees combined. Divide the total cost of attendees by the cost per attendee (380/ 10). You are left with 38 attendees. You can also check this backwards by multiplying 38 attendees by $10 (380), then adding the cost of decorations (94), and end up with the total cost of $474. I hope this helped!
What is the equation of a line that passes through the point (1. 8) and is perpendicuarto rene rose cons y=+32 Enter your answer in the box
Answer:
-12yx
Step-by-step explanation:
y=x/2+3
y-3= -6
-6y= x/2
-6 x 2= -12yx
Solve the system
-3x+4y+2z=1
x+2y-z=6
2x-y+4z=7
Answer:
its A dont know how to explain it but i did the math and yes it is (2,3,1)
Step-by-step explanation:
Answer:
the answer is d (3,2,1) according to the picture given
Step-by-step explanation:
the system you wrote is different from the picture
pls help ill give brainleist
Answer:
Answer is D hope this helped u :)
Step-by-step explanation:
Last month, Curtis bought a new mountain bike for $250. In a store advertisement, the mountain bike is on sale for $210. What is the percent of the decrease in the value of the mountain bike?
Answer:
16%
Step-by-step explanation:
say the percent decrease = x. Then
x/100 x 250 = 210.
x/2 x 5 = 210
x/2 = 210/5
x/2 = 42
x = 42 x 2
x = 84.....
BUT this is not the answer. We need 100-84=16 for the answer.
So the bike dropped 16%. Thank me later :)
If Curtis bought a new mountain bike for $250. In a store advertisement, the mountain bike is on sale for $210. Then 16% of the decrease in the value of the mountain bike
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity
Given,
Curtis bought a new mountain bike for $250.
the mountain bike is on sale for $210.
We need to find the percent of the decrease in the value of the mountain bike.
Let the percent decrease be x.
x/100 x 250 = 210.
5x/2= 210
Divide both sides by five
x/2 = 210/5
x by two equal to two ten by 5, we get x by two equal to forty two
x/2 = 42
Apply cross multiplication
x = 42 x 2
x = 84.
We need 100-84=16.
Hence 16 percent of the decrease in the value of the mountain bike
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Solve the equation for x.
– 1/2x – 3 = 4
Answer:
x = -4
Step-by-step explanation:
Multiply both sides by 2. Move constant to the right-hand side and change the sign. Add the numbers. And change the signs on both sides of the equation.
Please help me due today by 3:00pm please help me
Answer
n= 0
Explanation
- 3 (n - 3) = 3n + 9−3(−3)=3+9
−3+9=3+9
−3=3
-3n=3n−3n=3n
−3−3=3−3
−6=0
X = 6{2 + 3[2(7 − 3) + (4 + 1) − 3]}
Which one is an expression, which one is an equation, or neither? Picture below
Answer:
Check Explanation
Step-by-step explanation:
5b = 25 (equation)
5b (neither)
5(3+4) (expression)
A class consists of 10 male students and 30 female students. If one student is randomly selected from the class, what is the probability of selecting a male student?a. 10/30.
b. 10/40.
c. 1/10.
d. 1/40.
Answer:
a=10/30
Step-by-step explanation:
because you can simplify it to 2/15
Solve two fifths plus two sevenths please help fast you only get 1 minute mark brainiest
First, you will want to get the denominators of both fractions to be the same, the easiest way to do this is by multiplying the denominators, so 5 x 7 = 35
next you need to do the same for the numerators, so 2 x 7 = 14 and 2 x 5 = 10
now you have the equation 14/35 + 10/35
next, you add the numerators. so, 14 + 10 = 24
therefor, 2/5 + 2/7 =24/35
so your answer is 24/35
Answer:
c
Step-by-step explanation:
the guy is a champ
Model the problem with algebra tiles. Then use the model to write an algebraic expression that represents the situation. Bernadette bought six more fish for her tank. How can you model this situation? The situation can be modeled by algebra tiles with and . The situation can be represented as an algebraic expression as .
Answer:
1. one orange x tile
2. six orange + tiles
3. x + 6
Step-by-step explanation:
The situation can be represented as an algebraic expression as:
y = x + 6
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
Bernadette bought six more fish for her tank,
Suppose, Bernadette has x number of fish already
the expression for the total number of fees can be written as,
Total number of fees = Number of fees he has already + 6
= x + 6
⇒ y = x + 6
Hence, the given condition can be expressed as y = x + 6
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What is the relationship between the values of the given digits 7's in 7'700
Step-by-step explanation:
The given number is 7700.
We need to find the relationship between the values of the digit 7s in it.
The digit in the extreme left is 7 and second no is again 7.
The place value of first 7 is 7000
The place value of second 7 is 700.
Taking ratio of place value of 7 in first 7 and for second 7 as follows :
[tex]R=\dfrac{7000}{700}\\\\R=10[/tex]
So, value of first 7 is 10 times that of the value of second 7.
What the * stands for ?
The formula for calculating simple interest, I, is I = prt where p is the principle, r is the rate and t is the time. Solve for p.
1. I - rt
2. I + rt
3. I/rt
4. rt/I
The solution of the formula for p is p = I/ rt which is divided by the principle p times r. which is the correct answer would be an option (C)
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100
Given that the formula as:
⇒ I = prt
where I = Interest, P = principal,
R = rate and T = time is used to calculate the amount of simple interest earned.
⇒ I = prt
After getting P on one side, you must divide rt to get the letter p by itself.
⇒ I = prt
⇒ p = I/ rt
Hence, the correct answer would be option (C)
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evaluate
[tex] \frac{4}{2 {i}^{15} } [/tex]
please show work as I don't understand, thanks
Answer:
6
Step-by-step explanation:
good
hi guys whats 456829+345627=
you will win 85 points
Answer:
802456
Step-by-step explanation:
EASY MATH QUESTION I will give brainiest to first correct answer!
Find the exact value of the following.
11.68 - 0.48 ÷ (-1.6) =
Happy Veterans Day, stay safe, God bless and happy studying!
Answer:
11.98
Step-by-step explanation:
Find the missing measure and write your solution on the blank provided
Answer:
5: c=65 d=125 e=60
6: c= 58 d= 121 e=63
7. a=55 b=64 c=61
8. a=61 b=55 c=64
Step-by-step explanation: :)
A pound of ground beef costs $5 At this rate, what is the cost of 3 pounds
Answer:
$15
Step-by-step explanation:
if one pound is $5 and we need 3, then we can multiply the price of one pound by 3. (3×$5) This gives $15