Answer:
a) [tex]y(t) = 350(1.02)^t[/tex]
b) 394 thousand = 394,000 people will be following the website in 2016
Step-by-step explanation:
Exponential equation for an amount:
The exponential equation for an amount after t years has the following format:
[tex]y = y(0)(1+r)^t[/tex]
In which y(0) is the initial value and r is the growth rate, as a decimal.
A social media website had 350,000 followers in 2010. The number y of followers increases by 2% each year.
This means that: [tex]y(0) = 350, r = 0.02[/tex]
a. Write an exponential growth function that represents the number of followers t years after 2010
In thousands:
[tex]y(t) = 350(1 + 0.02)^t[/tex]
[tex]y(t) = 350(1.02)^t[/tex]
b. How many people will be following the website in 2016?
2016 is 6 years after 2010, so this is y(6).
[tex]y(6) = 350(1.02)^6 = 394.2[/tex]
Rounding to the nearest thousand:
394 thousand = 394,000 people will be following the website in 2016
what is the output of the expression 14/3
I did
14/3=4 2/3
so the final answer is 4 and 2/3
Please help me i need it right now please
Given:
The rate of interest on three accounts are 7%, 8%, 9%.
She has twice as much money invested at 8% as she does in 7%.
She has three times as much at 9% as she has at 7%.
Total interest for the year is $150.
To find:
Amount invested on each rate.
Solution:
Let x be the amount invested at 7%. Then,
The amount invested at 8% = 2x
The amount invested at 9% = 3x
Total interest for the year is $150.
[tex]x\times \dfrac{7}{100}+2x\times \dfrac{8}{100}+3x\times \dfrac{9}{100}=150[/tex]
Multiply both sides by 100.
[tex]7x+16x+27x=15000[/tex]
[tex]50x=15000[/tex]
Divide both sides by 50.
[tex]x=\dfrac{15000}{50}[/tex]
[tex]x=300[/tex]
The amount invested at 7% is [tex]300[/tex].
The amount invested at 8% is
[tex]2(300)=600[/tex]
The amount invested at 9% is
[tex]3(300)=900[/tex]
Thus, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.
pls help
plsssssssssssss
Answer and Step-by-step explanation:
Because of the vertical angles theorem, the angle that is 65 degrees would be equal to y.
y = 65°
X and Y are supplementary angles, which form a linear lair. This linear pair will add up to 180 degrees.
TO find x, we subtract 65 from 180.
180 - 65 = 115
x = 115°
X and Z are vertical angles, so they are equal to each other.
z = 115°
x = 115°
y = 65
z = 115°
To solve for the length of PQ, we would use the Pythagorean theorem equation.
[tex]a^{2} +b^{2}= c^{2} \\\\\\a = PQ\\\\b = QR\\\\c = PR\\\\\\a^{2} + 24^{2} = 25^{2} \\\\a^{2} + 576 = 625\\\\a^{2} = 49\\\\a = 7[/tex]
The length of PQ is 7.
#teamtrees #WAP (Water And Plant)
Answer:
y = 65 degrees
x = 115 degrees
z = 115 degrees
Step-by-step explanation:
the angle between c and a will be the same as y because of vertical angles
the same goes for x and z
y and x are supplementary angles, so if y is 65 then you do 180 - 65 to get 115
Need help in math and explain to me step by step
Answer:
[tex]\left[\begin{array}{cc}x&y&-2&-9&0&-1&2&7&4&15\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]y = 4x - 1[/tex]
Required
Create a function table for inputs -2, 0, 2 and 4
When x = -2
[tex]y = 4*-2 - 1 = -9[/tex]
When x = 0
[tex]y = 4*0 - 1 = -1[/tex]
When x = 2
[tex]y = 4*2 - 1 = 7[/tex]
When x = 4
[tex]y = 4*4 - 1 = 15[/tex]
So, the table is:
[tex]\left[\begin{array}{cc}x&y&-2&-9&0&-1&2&7&4&15\end{array}\right][/tex]
What is the cross section of a cylinder that is perpendicular to the base through the center?
The cross section perpendicular to the base is a rectangle. The cross section parallel to the base is a pentagon similar to the pentagonal base. The solid is a cylinder.
What is the solution to this equation?
2x + 3(x - 10) = 45
A. X = 15
B. x = 11
C. X = 3
D. x = 7
SUBM
Answer:
A. X= 15
Step-by-step explanation:
2x + 3(x - 10) =45
2x + 3x - 30 = 45
5x = 45 + 30
X = 75/5
X = 15
The four members of a singing quartet are buying new outfits. The shirts are $21 , the pants are $26 , the hats are$6 and the canes are$13 . What is the total cost of the new outfits for all the members?
Answer:
here'
Step-by-step explanation:
mate ur answer is 16.5 hope u got it
Answer:
$66
Step-by-step explanation:
$21 + $26 + $6 + $13 = $66
whats the equation y= -3x + 6 in standard form
We know that the standard form of the equation is:
ax + by = c
and we are given the equation:
y = -3x + 6
Converting to standard form:
3x + y = 6 [adding 3x on both sides]
3x + y = 6
and we are done already!
What is the area of this shape?
Answer:
140 + 250 = 390
Step-by-step explanation:
I think 390
Formula is:
L x W
7 x 20 = 140
30 - 20 = 10 x 25 = 250
so therefore add the the two areas of the two shapes to get 390 feet squared.
The area of a rectangle is 33ft, and the length of the rectangle is 5 ft less than twice the width. Find the dimensions of the rectangle
Hi there!
[tex]\large\boxed{\text{ L = 6 ft, w = 5.5 ft}}[/tex]
Use the following equation for the area of a rectangle:
A = l × w
Since the length is 5 ft less than twice the width, we can write an expression for the length in terms of the width:
l = 2w - 5
Plug the given area and expression into the equation:
33 = (2w - 5) × w
Distribute:
33 = 2w² - 5w
Move everything over to one side:
0 = 2w² - 5w - 33
Factor the equation:
0 = (2w - 11)(w + 3)
Find each w value by setting each expression equal to 0:
0 = 2w - 11
11 = 2w
w = 5.5
0 = w + 3
-3 = w
Since dimensions must be positive, the width is 5.5 ft.
Plug this value into the initial equation to solve for length:
33 = 5.5l
33/5.5 = l
l = 6 ft.
The dimensions are length = 6ft, and width = 5.5ft.
who was the first priminister
Answer:
Sir Robert Walpole, who led the government of Great Britain for over twenty years from 1721
Step-by-step explanation:
good luck!
Calculate the value of each expression by writing the decimal factors as fractions the writing their product as a decimal (1.2) times 5
Answer:
A
Step-by-step explanation:
Jaunita bought a square calculator that has a measurement of 8.2 sq cm on one side?
What is the area of the calculator?
Answer:
67.24
Step-by-step explanation:
If it's a square it must have all equal sides so if one side is 8.2then all the sides are. And we are finding the AREA so L x W = A....... 8.2 x 8.2 =67.24
So 67.24 is the answer. Btw I need help on a question I asked.... Anyone minds?
Answer:
67.24cm^2
Step-by-step explanation:
Area of square=leangh×leanth since all sides are equal.
area= 8.2×8.2
=67.24cm^2
I need help with this
Answer:
Step-by-step explanation:
Adding to x shifts the graph to the left and multiplying the equation by a factor greater than one stretches the graph vertically. In this case the graph has been vertically stretched by a factor of three and shifted to the left by two units.
PLEASE IVE DONE THIS 3 TIMES EASY MATH CHALLENGE NEED EXPLANATION 20 POINTS The board game Kings crown has, red, green, and gold gems for the players to earn as they play. The game has 1/3 as many green games as red gems. It has 1/6 as many red gems as gold gems. What fraction of the game's gems are gold?
Answer:
9/11
Step-by-step explanation:
The green gems are red gems divided by three. The red gems are gold gems divided by six. Make the number of gold gems, g. The red gems would be g/6, and the green gems (g/6)/2=g/18. So, the total marbles would be g+g/6+g/18=18g/18+3g/18+g/18=22g/18=11g/9. Now you have to find what percent of 11g/9 is g. (11g/9)(percent)=g. The percent as a fraction is 9/11.
How many unit cubes would you need to make a model of a rectangular prism that is 6 units long, 2 units wide, and 5 units high?
Answer:
60
Step-by-step explanation:
Volume = 6*2*5 = 60
Answer:
C
Step-by-step explanation:
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I need the answer please
Answer:
The 1st option
Step-by-step explanation:
Because x can be anything that's not imaginary and y has to be below 2 always because of the negative value added before the 3. Also it's impossible to reverse the sign of the negative because negative x would only result in 3 becoming a fraction.
Guys please help me I don’t understand and my test is due at 12 I only have 40min HELP GREATLY APPRECIATED!!!
Answer:
{9} Slope: -1
Y-intercept = 0
Step-by-step explanation:
Slope-----
Recall slope-intercept form
y=mx+b, with slope m and a y-intercept of b. With this in mind, we can rewrite our equation as y=−x+0
We see that our slope, or coefficient on x, is −1.
Y-intercept-----
We can rewrite this equation as:y=1x+0
The slope-intercept form of a linear equation is: y=mx+b
Where m is the slope and b is the y-intercept value.
For this equation:y=1x+0
Therefore:
The slope is m=1
The y-intercept is b=0 or (0,0)
Hope this helps!
find the value of Y! please help
Answer:
y = 5.6
Step-by-step explanation:
Use Sine
Sine = [tex]\frac{opposite}{hypothenuse}[/tex]
Sine 45 = [tex]\frac{y}{18}[/tex]
Sine of 18 is 0.309
0.309 = [tex]\frac{y}{18}[/tex]
Multiply 18 on both sides
0.309 x 18 = [tex]\frac{y}{18}[/tex] x 18
5.562 = y
Round to the nearest tenth:
5.562 = 5.6
I NEED HELP LPZ WILL GIVE BRINLYIST FOR CORRECT ANSWER (NO LINKS)
Find the value of X
12
l
l /
5 l. / X
l /
l /
Step-by-step explanation:
According phythagorous theorem,
x²=(12)²+(5)²
x²=144+25
x= root of 169
x=13
Answer:
According phythagorous theorem,
x²=(12)²+(5)²
x²=144+25
x= root of 169
x=13
Step-by-step explanation:
Gail is learning how to bake cookies. She found that 2 out of every 9 cookies are burnt. If Gail baked 225 cookies, how many burnt cookies would she expect to get?
A.
75
B.
100
C.
50
D.
25
Answer:
(c) 50 cookies
Step-by-step explanation:
225*2/9 = 50
The scale factor between square RSTU and square WXYZ is 1/2. The area of square RSTU is 100 square inches. What is the area of square WXYZ?
A.) 50 in2
B.)200 in2
C.)400 in2
D.)25 in2
Answer:
If square RSTU is seen as bigger than WXYZ then the answer is A. 50in^2
If square WXYZ is seen as bigger than RSTU then the answer is B. 200 in^2
Step-by-step explanation:
Measure Of Angle T. WILL GIVE BRAINLIEST
Answer:
m<T = 88
Step-by-step explanation:
7x + 4 + 5x + 3 + 2x + 5 = 180
14x + 12 = 180
14x = 168
x = 12
<T = 7x + 4
7(12) + 4
84 + 4
88
In ΔJKL, j = 57 cm, k = 12 cm and l=55 cm. Find the measure of ∠L to the nearest degree.
Answer: 74 degrees ..............
WILL GIVE BRAINLESST
a clothing store is selling t-shirts for $12 each.which graph shows the relationship between the number of t-shirts,x,the store sold and the total amount of dollar,y,earned in t-shirt sale?
Answer: A
Because for every a shirt it’s $12 each.
Therefore for example If you buy 3, it will cost 36
rewrite y-340.2=-8.1(x-7) in point slope equation.
it only accepts answers in the form of for example, y=500/3(x+4)+800
PLEASE HELPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A clothing manufacturer would like to determine whether celebrity endorsements influence a customer's decision to buy its products. In order to estimate this potential​ influence, the manufacturer premieres its latest series of commercials privately to two separate groups of potential buyers. One group will see a series of commercials without​celebrities, and one group will view a series of commercials with celebrities. The potential buyers are further divided by gender. Who is in the control​ group?
A.The women who see the commercials without celebrities.
B.The men and women who see the commercials without celebrities.
C.The 100 potential buyers.
D.The men and women who see the commercials with celebrities.
E.The men who see the commercials without celebrities.
Answer:
8
Step-by-step explanation:
The women who see the commercials without celebrities is in the controler group. Correct option is A.
In an experiment, the control group is a group of individuals who do not receive the specific treatment or intervention being studied. The purpose of the control group is to serve as a baseline for comparison, allowing researchers to evaluate the impact of the treatment by comparing it to the group that did not receive the treatment.
In this scenario, the clothing manufacturer is trying to determine whether celebrity endorsements influence a customer's decision to buy its products. To evaluate this influence, they are conducting an experiment with two separate groups of potential buyers:
Group A: Potential buyers (women) who will see a series of commercials without celebrities.
Group B: Potential buyers (men and women) who will view a series of commercials with celebrities.
The control group, in this case, is Group A - the women who see the commercials without celebrities. They do not receive the treatment (celebrity endorsements) being studied. Their responses and behavior will serve as a baseline against which the effects of celebrity endorsements on the buying decision can be compared in Group B.
By comparing the responses and behavior of the two groups, the clothing manufacturer can determine whether celebrity endorsements have a significant influence on the customers' decision to buy their products. The control group is essential for ensuring that any observed effects in Group B are not due to other factors but rather can be attributed to the presence of celebrity endorsements.
To know more about commercials:
https://brainly.com/question/18297048
#SPJ2
Kobe drinks 1/3 cups of juice each day. He has 2 1/3 cups of juice left. For how many days will it last?
Answer:
Our juices’ journey to your table starts on the thousands of acres of citrus farms dotting Western North America. The process begins when the fruit is harvested at its sweetest, then sent to our plant to be pressed and bottled. From the plant, our juice is sent to retailers throughout the West, including Ralph’s, Bristol Farms and Pavilions to name a few. This lateral integration gets the freshest, best tasting juices to our customers as quickly as possible, and makes Perricone Farms a true “Farm-Bottle-Table” company. You’ll taste the difference with every sip.