Answer:
5842 people after 2 months
Step-by-step explanation:
Given
Initial Value: [tex]a =10000[/tex]
Rate: [tex]r = 20\%[/tex] every 6 months
Required
Number of people using it after 2 months
The function follows an exponential model.
So, we need to first write out the function.
If Rate: [tex]r = 20\%[/tex] every 6 months
Then
Rate: [tex]r = 40\%[/tex] after 1 year
[tex]r = 0.04[/tex]
The function is represented as:
[tex]y = ar^x[/tex]
So:
[tex]y = 10000 * 0.04^t[/tex]
For 2 months, we have:
[tex]t = 2\ months[/tex]
Convert to years
[tex]t = \frac{2}{12}[/tex]
[tex]t = 0.167[/tex]
[tex]y = 10000 * 0.04^t[/tex]
[tex]y = 10000 * 0.04^{0.167}[/tex]
[tex]y = 5842[/tex]
whats the answer i need help please
Answer:
fggfdf
Step-by-step explanation:
gfdgdgd
Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volume).
Question:
Karina has recently begun kickboxing and purchased training equipment as modeled in the diagram below. The cylindrical base is 15 inches tall with a diameter of 22 inches.
Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volume).
Answer:
[tex]Section = 4847.3205\ in^3[/tex]
Step-by-step explanation:
Given
[tex]h = 15in[/tex] -- height
[tex]d = 22in[/tex] -- diameter
Required
85% of the volume
First, calculate the radius
[tex]r = \frac{1}{2} * d[/tex]
[tex]r = \frac{1}{2} * 22= 11in[/tex]
The volume (V) is then calculated using:
[tex]V = \pi r^2h[/tex]
[tex]V = 3.142* 11^2 * 15[/tex]
[tex]V = 5702.73\ in^3[/tex]
85% of the volume is:
[tex]Section = 85\% * V[/tex]
[tex]Section = 85\% * 5702.73\ in^3[/tex]
[tex]Section = 4847.3205\ in^3[/tex]
Answer:
The answer above me is correct.
Step-by-step explanation:
True or false
(Question in the picture)
Answer:
False
48° + 77° + 66° ≠ 180°
Step-by-step explanation:
If the graph of the function moves to the right two units what is the new vertex of the function
Answer:
Let's talk through this a one step at a time.
*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.
*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.
*At this point, f(x-5) has its vertex at (5,0).
*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]
*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence
Find the missing side
Help me on this please
Answer:
c
Step-by-step explanation:
2. Solve for x, y, and z
Answer:
x=90
y=45
z=45
ok but i am not sure at all please confirm
The actual width of the building shown in the model below is 60 feet: What is the actual height od the building shown in the model?
100ft
150ft
210ft
300ft
the building shows the height as 5 and width is 2...
Answer:
100ft I'm not completely sure but
Step-by-step explanaon 5x5=25 2x2=4 25x4=100
The bird population in a forest is about 2300 and is decreasing at a rate of 5% per year. Let t represent the number of years and P represent the population. Write an exponential decay model to represent this situation. (please fill in those blank spaces)
P = _____ (1 - ____ ) t
Answer: P=2300 (1- 0.05)^x
Step-by-step explanation:
PLEASE HELP FAST!!!
Emile is a long distance trucker. In one week he drives 750 miles from his home in fort lauderale,FL, to Benson, NC he then drives 2,488 miles to Barstow, CA and continues driving 155 miles to Bakersfield,CA. From there, Emily drives 1,015 miles to Seattle, WA.
Estimate the total distance Emile travels by first rounding each distance to the nearest hundred.
Answer:
4500 miles
Step-by-step explanation:
750 rounded to the nearest hundred is 800. 2,488 rounded to the nearest hundred is 2,500. 155 rounded to the nearest hundred is 200. 1,015 rounded to the nearest hundred is 1,000. So 800+2,500+200+1,000= 4,500
A package of sliced cheese weighs 2 1/4 pounds and costs $18. If 3 slices weigh a total of 2 ounces, how much do the 3 slices cost?
Cual es la fuerza de 225n y 165n
Answer: 225 N + 165 N = 3.90×10.
what is 15%of8700 please give the right answer
Step-by-step explanation:
8700x.15 is 1,305. that is your answer
write an equation for the following problem
Answer:
x+68=90 degrees
Step-by-step explanation:
Answer:
90-68 or 68+22
Step-by-step explanation:
this works becuz it is a 98 degree angle
A car bought for $13,000 depreciates at 15% per year. Use an exponential function to find the value of the car after 5 years.
Answer:
$5768.1
Step-by-step explanation:
Given data
Cost price= $13,000
Depreciation= 15%
Time= 5 years
The expression for the depreciation is given below
A= P(1-r)^t
Substitute
A=13000(1-0.15)^5
A=13000(0.85)^5
A=13000*0.4437
A=$5768.1
Hence after 5 years, the car will be $5768.1
ellie wanted to order candy online. company A us offering 2 1/2 pounds of chocolate for $32.50; while company B is offering 2 3/4 pounds of the same chocolate for $35.00. what is the unit price for company A? (please include units) what is the unit price for company B? which company is offering the lowest price per pound?
Answer:
Company A = $13
Company B = $12.73
Company B
Step-by-step explanation:
To determine the unit cost for each company, divide the price of chocolate by the number of pounds
Unit cost = price ÷ total pounds offered
Company A
$32.50 ÷ 2 1/2
$32.50 ÷ 5/2
$32.50 x 2/5 = $13
Company B
$35 ÷ 2 3/4
$35 ÷ 11/4
$35 X 4/11 = $12.73
$12.73 is less than $13. Company b has a lower price per pound
A rectangular exercise mat has a perimeter of 36 feet. The length of the mat has a perimeter of 36 feet. The length of the msg is twice the width . What is the area, in square feet of the mat?
Answer:
18
Step-by-step explanation:
;)
Veronica is an English tutor. She charges $60 for each tutoring session plus $0.75 per mile that she has to drive to and from the session. Write an equation to represent this situation. Explain how you got your equation.
Answer:[tex]60+0.75x[/tex]
Step-by-step explanation:
Given
Veronica charges $60 for each tutoring session
Also, there is an additional charge of $0.75 per mile
Suppose she drive x miles and the total cost is represented by C
the additional cost of driving is [tex]0.75\times x=0.75x[/tex]
[tex]\therefore[/tex] The total cost for the session will be the sum of fixed cost and variable driving cost
[tex]\Rightarrow C=60+0.75x[/tex]
CAN SOME0NE PLEASE HELP MEEE ASAP!!
Answer:
[tex]x = 35.6[/tex]
Step-by-step explanation:
It is given that figure (HGFE) and figure (LKJI) are similar. Meaning that one must multiply a side of the figure (HGFE) by a number to get the corresponding side length from the figure (LKJI). To find this number, one must divide two corresponding sides.
[tex]\frac{KL}{FE}[/tex]
[tex]=\frac{55}{17}[/tex]
Now to find a missing side in figure (LKJI) one must multiply its corresponding side by ([tex]\frac{55}{17}[/tex]) in figure (HGFE) to find the length of the missing side.
[tex]EF * \frac{55}{17} = JI\\\\11 * \frac{55}{17} = JI\\\\\frac{605}{17} = JI[/tex]
[tex]x = \frac{605}{17}\\\\x=35.6[/tex]
Answer:
IJ ≈ 35.6
Step-by-step explanation:
Since the quadrilaterals are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{IJ}{EF}[/tex] = [tex]\frac{KL}{GH}[/tex] , substitute values
[tex]\frac{IJ}{11}[/tex] = [tex]\frac{55}{17}[/tex] ( cross- multiply )
17 IJ = 605 ( divide both sides by 17 )
IJ ≈ 35.6 ( to the nearest tenth )
Alonzo and Mitra wanted to share a pizza. Mitra ate
1/4
of the pizza, and Alonzo ate
3/4
of the pizza.
How much more pizza did Alonzo eat than Mitra?
Answer: 2/4 more pizzia
Step-by-step explanation: Becuse if Mirtra ate 1/4 of the pizzia then you have 3/4 left and alonzo ate 3/4 of the pizza and if you subtract those the differce ends up to be 2/4.
Perform the indicated operation. m/m+n + n/m+n
Answer:
(2mn+m+n)/2
Step-by-step explanation:
What is the value of x rounded to the nearest hundredth?
Question 3 options:
6
8
7
5
Answer:
I think 5 could be wrong tho
Step-by-step explanation:
4x4+3x3=25
✓25
5
a positive number of two digits the ten place exced.the unit place digit by 5 .if the producted digit is 46. find the number
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
How many solutions 9+p=2p-3 have
Answer:
Only one solution
Step-by-step explanation:
p=12
Solution below:
subtract p on both sides
9=p-3
add 3 on both sides
p=12
Michael's lawn mower had 3/8 of a gallon of gasoline in the tank. He started mowing and used all of the gasoline. He put 4/10 of a gallon of gasoline in the tank. After he mowed, 2/4 of a gallon was left in the tank. What was the total amount of gasoline Michael used?
Answer:
11/40 of a gallon
Step-by-step explanation:
The amount of gasoline in the tank of lawn mower = 3/8 of a gallon
Then he put the amount of gasoline in the tank = 4/10 of a gallon
The total amount of gasoline filled in the tank = 3/8 + 4/10
= 3/8 + 2/5
= 15+16/40
= 31/40
The total amount of gasoline filled in the tank = 31/40
The amount of gasoline left in the tank after mowing = 2/4
Total amount of gasoline Michael used = 31/40 - 2/4
= 31-20/40
= 11/40 of a gallon
Alternatively, you can follow this method:
Total amount of gasoline Michael used = 3/8 + (4/10 - 2/4)
= 3/8 + (2/5 - 2/4)
= 3/8 + ( 8-10/20)
= 3/8 + (-2/20)
= 3/8 + (-1/10)
= 3/8 - 1/10
= 30-8/80
= 22/80
= 11/40 of a gallon
Total amount of gasoline Michael used = 11/40 of a gallon
At a track meet, eight runners are running the 200 m dash. Assuming no ties, how
many ways can the first three finishers come in?
Answer:
6
Step-by-step explanation:
1. One comes first, two comes second, and three comes last.
2. one comes first, two comes last, and three comes second.
3. One comes second, Two comes first, and three comes last.
4. One come last, Two comes first, and three comes second.
5. One comes second, Two comes last, Three comes first.
6. One comes last, Two comes second, and Three comes first.
will give brainliest and 100 points
Factor the trinomial. Show ALL work: x2 − 5x + 6
Answer:
(x−2)(x−3)
Step-by-step explanation:
x²−5x+6
number = x-y = -5
x*y=6
-2+-3 = -5
-2*-3 = 6
we get
(x-2)(x-3)
Answer:
(x−2)(x−3)
Answer: x=3,x=2: (x-3)(x-2)
Step-by-step explanation: Lets factor. What two numbers multiply to get 6 and add to get 5.
The two numbers are 3 and 2 so lets start factoring.
First since its not a perfect square trinomial we know it wont be something squares.
We put (x ?)(x ?) the question marks are numbers that will go in so the two numbers are 3 and 2 and since the sign in front of the 5x is a minus sign both numbers will be negative. So we would do (x 3)(x 2) and both signs would be negative so we get (x-3)(x-2)
using the da tat shown on the table, which statements are correct
Answer:
C
Step-by-step explanation:
20 feet. The builder asks him to give the measurements in yards. What will be the length in yards?Immersive Reader
Answer:
6.67 yards
Step-by-step explanation:
20 feet. The builder asks him to give the measurements in yards. What will be the length in yards?
Please note that:
1 foot = 0.333 yard
20 feet = x yards
Cross Multiply
1 foot × x yards = 20 feet × 0.333 yards
x yards = 20 feet × 0.333 yards/1 foot
x yards = 6.66667 yards
Approximately = 6.67 yards
Therefore, the measurements in yards is 6.67 yards.
Which function defines (g•f)(x)?
Answer:the Awnser would be d
Step-by-step explanation:
Plato
This relationship represents between f(x) and g(x) :
(g•f)(x) = 5xlog(5x) + 4log(5x) which is correct option(D).
What is function?The function is defined as mathematics expression defines a relationship between one variable and another variable.
f(x) = log(5x)
g(x) = 5x + 4
Multiply by f(x) in g(x),
(g•f)(x) = (5x + 4)f(x)
(g•f)(x) = 5xf(x) + 4f(x)
Substitute value of f(x),
(g•f)(x) = 5xlog(5x) + 4log(5x)
Learn more about function here:
brainly.com/question/12431044
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