In 1995 there were 501 computer viruses reported. Since then, the viruses have been replicating at a
rate of 57% per year. How many viruses are projected for the year 2021?
Therefore, there are projected to be approximately 1541 computer viruses in the year 2021.
What is exponential growth?Exponential growth is a pattern of growth where a quantity grows at a constant percentage rate per unit of time. In other words, the rate of growth is proportional to the current value of the quantity. This type of growth is often seen in natural phenomena such as population growth, the spread of diseases, and the growth of financial investments. Exponential growth can be described mathematically by an exponential function of the form y = abˣ, where a is the initial value, b is the growth factor, and x is the time variable.
Here,
To solve this problem, we can use exponential growth formula:
A = P(1 + r)ˣ
where:
A = final amount
P = initial amount
r = growth rate
t = time (in years)
Let's first calculate the number of years from 1995 to 2021:
2021 - 1995 = 26 years
Using the given information, we can plug in the values into the formula:
A = 501(1 + 0.57)²⁶
A = 501(3.08)
A = 1540.68
Rounding to the nearest whole number, we get:
A ≈ 1541
To know more about exponential growth,
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The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.
The hypotenuse of a right triangle is 5 units long and has the points (3, 0) and (0, 4) as end points. One of the legs has length 3.
Use the Point and Segment tools to draw a right triangle at demonstrates the other leg length is 4.
Answer:
Step-by-step explanation:
Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.
Please help I'll mark brainliest
Answer:
Athletes swim 3/20 kilometer for every kilometer they run.
Step-by-step explanation:
3/20 = .15
multiply 10 by 3/20
10 * .15 = 1.5
Answer:
3/20 kilometers for every kilometer ran
Step-by-step explanation:
divide
Which is the graph of 25x2 + 4y2 = 100?
Answer:
nasa pic yung answer
Step-by-step explanation:
hope its help
correct me if im wrong
Click on the numbers that fit the description.
(Choose 4)
Answer:
6231
Step-by-step explanation:
Answer:
6,2,30,8 is the common factor of 18 and 30
due in 1 hour
screenshot below
Answer:
True I'm pretty sure. Just check to be sure.
Step-by-step explanation:
a triangle has one side that is 4cm long and one that is 9cm long the third side is a whole number of cm. what is the shortest possible third side?
Answer:
Step-by-step explanation:
Since it must be an integer, 5 would make it up to the full length of the longest line. What you get is not quite a triangle. The way to get a triangle is to add one more to the 5 to make 6
Answer: 6 cm
Roderick has a dog that has a mass of 9 kilograms what is the mass of the dog in grams
Answer:
9000 grams
Step-by-step explanation:
multiply the mass value by 1000
(This is a multiple choice question)Suppose you are rehearsing for a dance competition and you fall and hurt your shoulder. At the hospital, they take X-rays, consult a shoulder specialist, and give you a stabilizer brace. You pay a $50 co-pay at the time of service, and the ER bills your insurance company for the rest. The total hospital bill is $3,720. The table below shows the payment structure for your health insurance policy. If the injury happened in July, what is your total paid in monthly premiums?
A. 1,050$
B. 150$
C. 900$
a) Solve for x.
b) Then determine the angle measurement.
Answer:
a)x=12
b)64 degress
Step-by-step explanation: 1.Due to the law of opposite adjacent angles (or whatever its called) you can set both equations equal to each other- 4x+16=7x-20 2. Use algebra and get 3x=36 3. Divide both sides by 3 to get x=12 (first answer) 4. Now plug 12 in for x in either equations. I chose the bottom to get 4(12)+16 which is equal to 64 (second answer).
Solve the inequality 4i−4(i+2)≥6(8i−8) and write the solution in interval notation
Answer:
[tex](-\infty,\frac{25}{24}][/tex]
Step-by-step explanation:
Assuming [tex]i[/tex] is a variable:
[tex]4i-4(i+2)\geq6(8i-8)\\\\4i-4i+2\geq48i-48\\\\2\geq48i-48\\\\50\geq48i\\\\\frac{50}{48}\geq i\\ \\\frac{25}{24}\geq i\\ \\i\leq\frac{25}{24}\\ \\(-\infty,\frac{25}{24}][/tex]
According to the labor statistics document, which educational level has the highest median
income?
The doctoral degree educational level has the highest median income
What are educational level?Education level refers to the years of formal instruction received and successfully completed.
From research in 2017 for those with the highest levels of educational level (doctoral and professional degrees) income is more than triple those with the lowest level (high school diploma)
Find out more on educational level at: https://brainly.com/question/2987151
Answer: Bachelor's Degree, and Male
Step-by-step explanation:
Find LP in parallelogram LMNQ.
Answer: im pretty sure its 29 degrees .
Step-by-step explanation: your welcome <3
Taylor buys necklaces at wholesale for her store for $6, then she adds a mark up of
120% to the wholesale cost she paid for the necklaces. What is the sale price of
necklaces at Taylor's store?
Cost is 6 USD
Selling price is 6 + markup
Markup = 6 * 120 /100 put this expression and check again selling price
Selling price = 6 + (6 * 120) / 100
= 13,2 usd
The equation w = 20n models the total weight of honey, w, in
pounds that a beekeeper expects to collect from n hives.
a. Graph the relationship modeled by the equation. Include a
title on each axis.
b. How does the graph show the expected rate of pounds of
honey per hive? How is this rate related to the equation?
The graph of the weight function w = 20n is an illustration of linear equations
The expected weight of honey per hive is 20 pounds
The graph of the modelThe equation of the model is given as:
w = 20n
To plot the graph, we use the following representations
n is plotted on the horizontal axisw is plotted on the vertical axisSee attachment for the graph of w = 20n
Interpret the graphThe graph shows that:
As the number of hives increases, the weight of honey increasesThe expected weight of honey per hive is 20 poundsRead more about linear equations at:
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Problem
* Henry has many different screwdrivers. Each screwdriver is 6 inches long. He wants to make a line of
screwdrivers that is 1 yard long. How many screwdrivers will Henry need?
Answer:
Henry will need 6 screwdrivers.
Answer:
Henry will need 6 screwdrivers.
Step-by-step explanation:
[tex]1yard = 36inches\\\frac{36inches}{6inches/screwdriver} = 6screwdrivers[/tex]
Determine the value of y, if x is -1
equation: y= | x |-4
Answer:
y = -3
Step-by-step explanation:
y = | x | - 4
y = | -1 | - 4
y = 1 - 4
y = -3
Comment any questions!
the question is below please help by monday
A cone has a radius of 7 cm and a height of 12 cm what is the volume in cubic meters of the cone
Answer: 615.44 m^3.
Step-by-step explanation: To find the volume of a cone, you need to multiply the radius, pi, and height. The equation is given below:
π x r^2 x h = V, where π is pi, r is the radius squared, h is the height, and V is the volume.
Now, we need to substitute the values with the information that is given. π ≈ 3.14:
3.14 x 7^2 x 12 ≈ 1846.32.
We are not finished yet! A cone's volume is a third of a cylinder's, so you need to split 1846.32 in 1/3:
1/3 x 1846.32 ≈ 615.44 m^3.
Hope this helps! :)
Which of the following is the solution to the equation 4 over 5 times n = 20
N = 4
N= 12
N = 16
N = 25
Answer:
(d) N = 25
Step-by-step explanation:
The solution to a one-step linear equation can be found by performing the inverse of the operation that is performed on the variable.
(4/5)N = 20
(5/4)(4/5)N = (5/4)(20) . . . . . multiply by the inverse of the coefficient
N = 25 . . . . . simplify
-b+10b+2b+17=6 please help me
Answer:
-1
Step-by-step explanation:
-b+10b+2b+17=6
9b+2b+17=6
11b+17=6
11b=6-17
11b=-11
b=-1
Find the least common multiple of x2 – 2x – 15 and x2 + 2x – 3.
(x + 3)(x – 1)(x + 5)
(x – 5)(x + 3)(x – 1)
(x – 5)(x + 1)(x + 3)
(x + 5)(x + 3)(x + 1)
Step-by-step explanation:
please mark me as brainlest
5. CD has an endpoint at (2, -1) and a midpoint at (8,3). Which measure is closest to the length of CD?
A 20.4 units
B 8.9 units
C 14.4 units
D 11.7 units
Answer: C
Step-by-step explanation:
the equation for X is
[tex]\frac{2+x}{2} =\frac{8}{1}[/tex] use proportion to solve
2 + x = 16
x = 14
(14,y)
The equation for Y is
[tex]\frac{-1+y}{2} =\frac{3}{1}[/tex] use proportion to solve
-1 + y = 6
y = 7
(14,7)
now use the distance formula
(14,7) (2,-1)
which gets you 14.4 or C
What is the inverse of 2x-3?
Step-by-step explanation:
the inverse of 2x-3 is
[tex] \frac{1}{2x - 3} [/tex]
if this helped pls give brainliest
Smokers: Out of 780 smokers, 376 have been divorced.
Non-smokers: Out of 2855 non-smokers, 902 have been divorced.
a) Find the 95% confidence interval for the proportion of smokers that have been divorced.
b) Find the 95% confidence interval for the proportion of non-smokers that have been divorced.
c) What do the results above indicate about smoking and divorce?
For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as
95% confidence interval = (0.5352, 0.4462)95% confidence interval = (0.3424, 0.2894)53% increased risk of divorce for smokers.What is the 95% confidence interval for smokers and non-smokers?Generally, the equation for the Confidence interval is mathematically given as
p ± Z/2[p(1-p)]/n
Where
Z1/2=1-(0.05/2)
Z1/2=0.975
Read z table we have
Z score= 1.96
Hence
0.4907 ± 1.96 (0.4907)(1-0.4907)/485
0.4907±0.0445
Therefore
95% confidence interval = (0.5352, 0.4462)
b)
Z1/2 = 1- (0.05/2)
Z1/2 = 0.975
Z score= 1.96
0.3159 ± 1.96 (0.3159)(1-0.3159)/1184
0.3159±0.0265
Thereofore
95% confidence interval = (0.3424, 0.2894)
c)
In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.
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Help picture below problem 12
How to write the slope intercept equation for points of (6,0) and (0,-5)?
Answer:
[tex]y=\frac{5}{6} x -5[/tex]
Step-by-step explanation:
Hi there!
We are given the points (6,0) and (0, -5), and we want to write the equation of the line containing those points in slope-intercept form
Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept
First, we need to find the slope of the line
The formula for the slope can be written as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the points to avoid confusion
[tex]x_1=6\\y_1=0\\x_2=0\\y_2=-5[/tex]
Now substitute these values into the formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-5-0}{0-6}[/tex]
Subtract
m=[tex]\frac{-5}{-6}[/tex]
Simplify
m=[tex]\frac{5}{6}[/tex]
The slope of the line is 5/6
Let's plug this value into the formula for the equation of the line in slope-intercept form.
We substitute 5/6 for m in y=mx+b:
y=[tex]\frac{5}{6}x+b[/tex]
Now we need to find b
As stated before, b is the y intercept, which is the value where the line hits the y axis. The value of x at the y intercept is 0.
One of the points we were given is actually the y intercept; that point is (0, -5); notice how the value of x in this point is 0
The value of b is the value of y in this point, which is -5 in this case.
Substitute -5 as b in the formula.
[tex]y=\frac{5}{6} x -5[/tex]
Hope this helps!
See more on this subject here (n.b. the answer uses a different way of solving): https://brainly.com/question/20891204
Solve by completing the square
Answer:
X¹=-11; X²=3
x ^ 2 + 8x - 33 = o
x ^ 2 + 11x - 3x - 33 = 0
x(x + 11) - 3(x + 11) = 0
(x + 11)(x - 3) = 0
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Step-by-step explanation:
Sarita deposits $1000 in an account paying 3.4% annual interest compounded continuously.
A. What is the balance in Sarita's account after 5 years?
Considering continuous compounding, it is found that the balance of her account after 5 years is of $1,185.3.
What is the equation for continuous compounding?It is given by:
[tex]A(t) = Pe^{kt}[/tex]
In which:
P is the principal.k is the interest rate.t is the time, in years.In this problem, the parameters are given as follows: P = 1000, r = 0.034, t = 5, hence:
[tex]A(5) = 1000e^{0.034(5)} = 1185.3[/tex]
The balance of her account after 5 years is of $1,185.3.
More can be learned about continuous compounding at https://brainly.com/question/15965736