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Question #5
Given:
The number of people who own computers has increased 23.2% annually since 1990
In 1990: the number of people who own computers = half a million
We will predict the number of people in 2015
We will use the following formula:
[tex]P(t)=P_o\cdot(1+r)^t[/tex]Where: (r) is the ratio of increasing = 23.2% = 0.232
And (t) the number of years after 1990
And P₀ is the initial value of the number of people
P(t) will be the number of people after (t) years
To predict the number of people in 2015
t = 2015 - 1990 = 25 years
so,
[tex]\begin{gathered} P=0.5\cdot(1+0.232)^{15} \\ P=0.5\cdot1.232^{15}\approx11.43\text{ millions} \end{gathered}[/tex]So, the answer will be:
The estimated number of people = 11.43 million
Related Questions
I will show you the pic
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We are given the following system of equations:
[tex]\begin{gathered} 6x-4y=-8,(1) \\ y=-6x+2,(2) \end{gathered}[/tex]To solve this system by substitution we will replace the value of "y" from equation (2) in equation (1)
[tex]6x-4(-6x+2)=-8[/tex]Now we use the distributive property:
[tex]6x+24x-8=-8[/tex]Now we add like terms:
[tex]30x-8=-8[/tex]Now we add 8 to both sides:
[tex]30x-8+8=-8+8[/tex]Solving the operations:
[tex]30x=0[/tex]Dividing by 30:
[tex]x=\frac{0}{30}=0[/tex]Therefore x = 0. Now we replace the value of "x" in equation (2):
[tex]\begin{gathered} y=-6x+2 \\ y=-6(0)+2 \\ y=2 \end{gathered}[/tex]Therefore, the solution of the system is:
[tex](x,y)=(0,2)[/tex]6. Diagram this statement. Then answer the questions (22) that follow. One third of the 60 questions on the test were true false. (a) How many of the questions on the test were true- false? (b) How many of the questions on the test were not true- false? (C) What percent of the questions were true-false?
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Can you please help me with 44Please use all 3 forms of the expression such as : down/up. As _,_ And limits
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Answer:
[tex]\begin{gathered} x-\text{intercept}=-3\text{ and 1} \\ y-\text{intercept}=\text{ -9} \end{gathered}[/tex][tex]\begin{gathered} x=1\text{ multiplicity 3} \\ x=-3\text{ multiplicity 2} \\ \lim _{x\rightarrow\infty}(x-1)^3(x+3)^2=\infty \\ \lim _{x\rightarrow-\infty}(x-1)^3(x+3)^2=-\infty \end{gathered}[/tex]Step-by-step explanation:
To find the x-intercepts factor the function to the simplest form:
[tex]h(x)=(x-1)^3(x+3)^2[/tex]As we can see the zeros to the function would be 1 and -3, then its:
[tex]\begin{gathered} x-\text{intercept}=-3\text{ and 1} \\ y-\text{intercept}=\text{ -9} \end{gathered}[/tex]Zero has a "multiplicity", which refers to the number of times that its associated factor appears in the polynomial. Therefore, this function has multiplicity:
[tex]\begin{gathered} x=1\text{ multiplicity 3} \\ x=-3\text{ multiplicity 2} \end{gathered}[/tex]For the end behavior:
down/up
As x approaches infinity f(x) approaches infinity
As x approaches -infinity f(x) approaches -infinity
[tex]\begin{gathered} \lim _{x\rightarrow\infty}(x-1)^3(x+3)^2=\infty \\ \lim _{x\rightarrow-\infty}(x-1)^3(x+3)^2=-\infty \end{gathered}[/tex]Patrick is responsible for choosing the company his local community group will use for having T-shirts printed. He must choose between Initial Me and Monogram Mania. Both companies charge an initial set-up fee and then charge per T-shirt printed.
The graph shows the cost of purchasing T-shirts from Initial Me and the cost of purchasing T-shirts from Monogram Mania.
Which statements are true about Initial Me and Monogram Mania?
Select each correct answer.
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Step 1:
The initial cost of Initial Me = 50
The initial cost of Monogram Mania = 80
Step 2:
Both Initial Me and Monogram Mania cost the same for 10 T-shirts printed of 130
Step 3:
Monogram Mania charges less per T-shirt printed than Initial Me charges.
The average cost of Monogram Mania is less than that of Initial Me.
Final answer
Monogram Mania charges less per T-shirt printed than Initial Me charges.
What is the coordinate of the midpoint of S the midpoint of ST write your answer as an integer or a decimal or mixed number in simple Form.
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We have a segment ST in a number line.
We can calculate the midpoint M as the average of the position of the endpoints S and T.
The position of S is 11 and the position of T is 13, so the midpoint will be:
[tex]M=\frac{S+T}{2}=\frac{11+13}{2}=\frac{24}{2}=12[/tex]Answer: the midpoint is 12.
Translate to an algebraic expression Twice "a"The translation is ...
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Okay, here we have this:
Considering that twice an amount generally indicates taking two of the things in question; generally this indicates multiplying by 2.
This mean that if we have "twice a" when transferring it to an algebraic expression we obtain: 2a.
Create a table of values for the function graphed below using the plotted points. Remember, table of values are written with the -values in order from least to greatest (read the graph from left to right).
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To create the table of values, we need to find the coordinates of the given points.
The coordinatesare given by (x,y), where x ican be found by drawing an imaginary vertical line passing through the point, and the x-value is the value of the x-axis where the line intercepts the x-axis.
The y-coordinate is given by the point of interception on the y-axis of a horizontal line passing through the point, so, for the fir tpoint the coordinates are:
[tex]\begin{gathered} (-2,5) \\ x-value\rightarrow-2 \\ y-value\rightarrow5 \end{gathered}[/tex]If we apply the same procedure to the next points, we can find the following coordinates:
[tex]\begin{gathered} (-1,4) \\ (0,3) \\ (1,2) \\ (2,1) \end{gathered}[/tex]Thus, th table of values will be:
x y
-2 5
-1 4
0 3
1 2
2 1
The sum of three consecutive integers is -39. What are the three numbers? Enter your answer as three numbers separated by a comma.
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Answer:
-12, -13, and -14
Explanation:
x, y, and z are the three consecutive numbers and they sum -39, so we can write the following equation
x + y + z = -39
Since these numbers are consecutives, we get
y = x + 1
z = x + 2
So, replacing these equation on the first one and solving for x, we get
x + y + z = -39
x + (x + 1) + (x + 2) = -39
x + x + 1 + x + 2 = -39
3x + 3 = -39
3x + 3 - 3 = -39 -3
3x = -42
3x/3 = -42/3
x = -14
Then, y and z are
y = -14 + 1 = -13
z = -14 + 2 = -12
Therefore, the consecutive numbers are
-12, -13, and -14
Use trigonometry to find QP. Round to the nearest tenth.
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Since this is a right triangle, we can use trig functions
cos theta = adj side/ hypotenuse
cos Q = QP / QR
cos 38 = QP / 25
25 cos 38 = QP
19.70026884= QP
Rounding to the nearest tenth
19.7 = QP
The price of acorn squash is proportional to the weight in pounds. You pay $6.36 for 4 pounds of acorn squash. How much does3 pounds of acorn squash cost?
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In order to calculate the cost for 3 pounds of acorn squash, we can write the following rule of three:
[tex]\begin{gathered} \text{weight}\to\text{cost} \\ 4\text{ pounds}\to6.36 \\ 3\text{ pounds}\to x \end{gathered}[/tex]Then, we can write the following equation and solve it for x:
[tex]\begin{gathered} \frac{4}{3}=\frac{6.36}{x} \\ 4\cdot x=3\cdot6.36 \\ 4x=19.08 \\ x=\frac{19.08}{4} \\ x=4.77 \end{gathered}[/tex]Therefore the cost of 3 pounds is $4.77.
Coffee Shop PricesCup CostSmall $2Regular $4Large $5David and Jon are placing coffee orders for their friends.David orders 10 large cups of coffee. Jon orders 4 fewer large cups than David. Jon pays for his orders with a $50 bill.Jon wants to know how much he spent on coffee.What is a good plan to find the amount Jon spent on coffee?3rd grade student
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Step 1:
Cost of large cup = $5
Step 2:
Number of large David orders = 10 cups
A good plan to find the amount Jon spent is to find the number of large cups Jon orders from the number of large cups David orders.
Jon order 4 fewer large cups
Therefore,
Jon order = 6 cups
Step 3:
A good plan to find the amount Jon spent is to find the number of large cups Jon orders from the number of large cups David orders.
The amount Jon spent on coffee = 6 x $5 = $30
The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5 minutes and the standard deviation of the waiting time is 3 minutes. Find the probability that a person will wait for more than 1 minute. Round your answer to four decimal places.
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We were given the following details:
This is a normal distribution. Normal distributions are solved using the z-score
[tex]\begin{gathered} \mu=5min \\ \sigma=3min \end{gathered}[/tex]The z-score for a value, X is calculated using the formula:
[tex]\begin{gathered} Z=\frac{X-\mu}{\sigma} \\ The\text{ probability that a person will wait more than 1 minute implies that: }X=1 \\ Z=\frac{1-5}{3} \\ Z=-\frac{4}{3} \\ At\text{ Z =}-\frac{4}{3}\text{, pvalue =}0.091759 \\ The\text{ probability that a person waits more than 1 minute is given by:} \\ P=1-0.091759 \\ P=0.908241\approx0.9082 \\ P=0.9082\text{ or }90.82\text{\%} \end{gathered}[/tex]Valerie drives 400 meters up a hill that makes an angle of 20° with thehorizontal. To the nearest tenth of a meter what horizontal distance hasshe covered? A.425.7mt B.375.9mt C.1169.5mt or D.136.8mt
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Given:
Valerie drives 400 meters up a hill that makes an angle of 20° with the horizontal.
To find:
The horizontal distance she has covered.
Solution:
The figure showing the scenario is as follows:
Let the horizontal distance traveled be x meters.
The horizontal distance traveled can be obtained using the trigonometric function cosine.
In the figure,
[tex]\begin{gathered} \cos 20=\frac{x}{400} \\ 0.94=\frac{x}{400} \\ x=400\times0.93969 \\ x=375.877 \end{gathered}[/tex]Thus, the horizontal distance covered is 375.9 ft.
Thus, option B is correct.
Please help me and I will give the pictures for the choices..
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The first compound indequality is:
[tex]x>7\, and\, x<7[/tex]We can view this in the real line:
There is no number that can be both greater AND less than 7, which makes the correct answer "No solution".
The second is:
[tex]x<7\, or\, x>7[/tex]Now, we are not looking for intercetion, we are looking for the union of both. The firts inequality takes all number less than 7 and the second all that are greater than 7, so the only one that is not a solution is 7, which means the correct answer is "all real numbers except 7"
The third is:
[tex]x\ge7\, and\, x\le7[/tex]This is the same as the first one, but now the 7 is included in both:
So, there is only 7 that can be in both indequalitys, thus the correct answer is "one solution, 7".
The fourth is
[tex]x\le7\, or\, x\ge7[/tex]This is similar to the second, but now 7 is included, which means it is also a solution, thus the answer is "all real numbers".
b. (-4,-1) Y= 4/3 x + 6What’s the equation of the line in standard form
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When two lines are perpendicular, the slopes of the lines m1 and m2 are related such that
m1m2 = -1
from the given equation comparing with tyhe general form of the equation of a line (y = mx + c)
m1 = 4/3
The slope of the perpendicular line is -3/4
The equation of the line
y- -1 = -3/4(x - -4)
y + 1 = -3/4(x + 4)
y + 1 = -3x/4 - 3
Subtract 1 from both sides
y + 1 - 1 = -3x/4 - 3 - 1
y = -3x/4 - 3 - 1
y = -3x/4 - 4
This is the standard form of the equation
Karine invests $6,100 in an account with an annual interest rate of 4.5% compounded daily for 2 years.What is the return on investment for Karine's account?
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The return on investment for Katerine's account = 9.4%
Explanation:Amount invested is the principal
Principal, P = $6,100
Annual Interest Rate, r = 4.5% = 0.045
The interest is compounded daily
Number of times the interest is compounded per year, n = 365
Number of years, t = 2 years
The amount after 2 years is calculated as:
[tex]\begin{gathered} A(t)=P(1+\frac{r}{n})^{nt} \\ A=6100(1+\frac{0.045}{365})^{365(2)} \\ A=6100(1.094) \\ A=6673.4 \end{gathered}[/tex]The amount after 2 years = $6673.4
The interest = Amount - Principal
The interest = $6673.4 - $6100
The interest = $573.4
The return on investment is calculated as:
[tex]\begin{gathered} \text{ROI = }\frac{Interest}{Pr\text{incipal}}\times100\text{ \%} \\ \text{ROI}=\frac{573.4}{6100}\times100\text{ \%} \\ \text{ROI = }9.4\text{ \%} \end{gathered}[/tex]The return on investment for Katerine's account = 9.4%
11) Describe the number and type of roots for 2x2 + 19x - 33 = 0.[A] 2 real solutions [B] 2 complex solutions [C] 1 real solution[D] 1 complex solution
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Explanation:
The first thing we will do is to solve for x in the equation:
Using factorization method:
The factors are +22 and -3. This because the addition of this number will give you the coefficient of x (19) while the multiplication will give -66
Solve the inequality and graph the solution on the line provided.
< > M >
Inequality Notation:
Number Line:
or
-12 -10 -8 -6
-4 -2
0 2 4
Click and drag to plot line.
2x64 -48
6
8
10 12
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Answer:
x ≥ 8Step-by-step explanation:
GivenInequality 2x - 64 ≥ - 48Solution2x - 64 ≥ - 482x ≥ 64 - 482x ≥ 16x ≥ 8To graph the solution, plot the point x = 8, make it closed dot, shade the line to the right from this point.
Emilia and Liam are purchasing a home. They wish to save money for 12 years and purchase a house that has a value of $200,000 which cash. If they deposit money into an account paying 4% interest, compounded monthly, how much do they need to deposit each month in order to make the purchase?
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Answer:
Explanation:
SSS
L
J
++
A) LJ=HF
LK=LG
C)
K
H
G
F
B) LJ LF or
D) ZL=LH
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Answer:
A. LJ≅HF
Step-by-step explanation:
Same as last time
One factor of the polynomial x3 − 7x2 + 13x − 3 is (x − 3). What is the other factor of the polynomial? (Note: Use long or synthetic division.) A. (x2 + 4x − 1) B. (x2 − 4x + 1) C. (x − 4) D. (x + 4)
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The other factor of the polynomial from what we have here is given as x² - 4x + 1 option B is correct.
How to solve the polynomialWe are required to divide x³ - 7x² + 13x - 3 by x -3
We have this as
x² - 4x + 1
-----------------
x-3 | x³ - 7x² + 13x - 3
we would have
x³ - 3x²
subtract this value by the one that we have above
then we would have
-4x² + 13x
-4x² + 12x
subtract these values from each other to get the value below.
x - 3
Hence the solution to the polynomial would be x² - 4x + 1.
Read more on polynomials here:
https://brainly.com/question/2833285
#SPJ1
-3x + 14y =7 -2x + 13y = -1Should this be solved by elimination or substitution?
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ANSWER
Elimination
EXPLANATION
We want to decide what method will be easier to solve the system of simultaneous equations.
From the equation, we see that attempting substitution will be quite difficult because there will be fractions involved thereby making simplification difficult.
On the other hand, elimination will involve multiplying the two equations by certain factors and solving.
Therefore, elimination will be more convenient.
Pls help with the question in the picture. 20 Points and brainliest.
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Answer:
**NEED USEFUL ANSWER ASAP, H.W QUESTION**
Given that hotter blackbodies produce more energy than cooler blackbodies, why do cooler red giants have much higher luminosities than much hotter white dwarfs?
Step-by-step explanation:
what angle is Supplementary to angle 2 and what are the Verticle angles in this picture?
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Suplementary angle = 180° - angle 2
is Angle 1,
because Angle 2 + Angle 1 = 180°
Part 2. Vertical angles are
Angles 2 and 5
Cylinder A has radius r, height h, and a volume of 10 pi cubic units. Cylinder B hastwice the radius and twice the height.hATBWhat is the volume of cylinder B?I2r2h
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Volume of a cylinder:
[tex]V=h*r^2*\pi[/tex]For cylinder A:
[tex]10\pi cm^3=h*r^2*\pi[/tex]For cylinder B:
[tex]V_B=2h*(2r)^2*\pi[/tex]Simplify the equation for volumen of cylinder B:
[tex]\begin{gathered} V_B=2h*4r^2*\pi \\ V_B=8*(h*r^2*\pi) \end{gathered}[/tex]in the equation for the volume of cylinder A you have the value of h*r^2*π:
[tex]\begin{gathered} V_B=8*(10\pi cm^3) \\ V_B=80\pi cm^3 \end{gathered}[/tex]Then, the volume of cylinder B is 80π cubic centimeters.I’m trying to understand where I should shade a graph given the narrative
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we have the system
[tex]\begin{gathered} x+y\leq4 \\ y\leq-x+4 \end{gathered}[/tex]The solution to the first inequality is the shaded area below the solid line y=-x+4
[tex]x\ge2[/tex]The solution to the second inequality is the shaded area to the right of the solid vertical line x=2
therefore
The solution to the system is the shaded area below the solid line y=-x+4 and to the right of the solid vertical line x=2
using a graphing tool
see the attached figure below
The solution is the triangular area
Please help me ASAP I’ll mark brainly
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1. The scholar made a mistake in the last step
where he said x=3.5
SCHOLA DIVIDED 7 BY 2 INSTEAD OF DIVIDING BY 0.5
[tex]0.5x = 7 \\ \frac{0.5x}{0.5} = \frac{7}{0.5} \\ x = 14
AS A RESULTS GOT WRONG ANSWER . x is supposed to be 14.
WXYZ is a kite. Use the figure below to fill in the blanks below.
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We can assume the kite is simetrycal along line WY, as such
[tex]ZW=XW=10[/tex][tex]m\angle\text{XSW}=90[/tex]because the diagonals of a kite are perpendicular.
Since m∠XSW is 90°, triangle WSX is a right triangle. Thus
[tex]m\angle WXZ=m\angle WXS=180-90-46=44[/tex]By the symmetry we discussed earlier,
[tex]m\angle WYZ=m\angle WYX=18[/tex]And finally
[tex]m\angle XYZ=m\angle WYZ+m\angle WYX=18+18=36[/tex]111. 12 people fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is 25feet deep on both sides of the street along a 3-mile section of a parade route (Hint: 1 mile - 5 280 ft)
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Answer:
The estimated crowd is of 380160 people.
Step-by-step explanation:
We solve this question applying a proportion on the following format:
People divided by area.
Let's do the drawing:
12 people fit comfortably in a 5 feet by 5 feet area.
So
12 people fitting in an area of 5*5 = 25 ft².
Area of the street:
3 miles = 3*5280 ft = 15840 ft
25 feet on both sides. So, the total area in which the crowd is sparsed is:
A = 15840*25*2= 792000 ft².
Now we apply the ratio:
People over area.
[tex]\frac{12}{25}=\frac{x}{792000}[/tex]Applying cross multiplication:
25x = 12*792000
x = (12*792000)/25
x = 380160
The estimated crowd is of 380160 people.
32. Which statement is true if m and n are parallel? A slope m = slope (n)B slope m= -1 (Divide) slope (n)C slope m= 1 (Divide) slope (n)D slope m= -1 x slope (n)
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Two lines that parallel, their slopes are equals.
L1 and L2 are parallel only if the slopes of the lines are s1 and s12 are identical
therefore the correct answer is A. slope m = slope (n) since they say that two slopes the same