Answer:
D. 4.5%
Step-by-step explanation:
Michael expects the rate of growth to be 4.5% each week because in the equation inside the parenthesis is 1.045 meaning it has already had 1 added to the original percentage so subtract 1 from 1.045 then move the decimal twice to the right and change it into a percentage sight which will give you 4.5%
the growth rate per week is 4.5% Micheal can expect.
What is rate?Rate is a measurement to determine the change in one quantity with respect to another quantity.
The given equation is,
y = 82(1.045)x,
Where y represents number of people and x represent number of week.
After 1 week, x=1
y=82×1.045
The multiplying factor is 1.045
It implies that after 1 week growth increase by, 0.045
The percentage value of 0.045 is 4.5%
So the growth rate per week is 4.5%.
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what is the diameter of the circle: (x-4)^2+(y-2)^2=9 ?
Answer:
The diameter is 6
Step-by-step explanation:
Write a rule for the geometric sequence with the given description: The first term is −3, and each term is 5 times the previous term. Then, use the rule to solve for the 9th term. All work must be shown.
Answer: -1171875
Step-by-step explanation:
From the question,
a = first term = -3
r = common ratio = 5
The ninth term will be:
= ar^8
= -3 × 5^8
= -3 × 390625
= -1171875
Therefore, the ninth term is -1171875.
What is the mean of the data set?
Fifth Grade Jump Distance
2 0
3 2 4 6
4 0 2 4 8
5 5
6 5
2 0 = 20 inches
42
40
45
20
Answer:
42
Step-by-step explanation:
Add all the numbers 20+, 32, 34, 36, 40, 42, 44, 48, 55, 65=416
then divide by total number of digits
(Mean: The mean is the average. It is found by adding all the data values and then dividing by the number of data points.)
41.6 rounded to 42
If each of the cubes in a Rubik's Cube represented 1 cubic inch, what would be the volume of the Rubik's Cube?
Answer:
The volume of the Rubik's Cube is 27 in^3
Step-by-step explanation:
Each face of a Rubik's Cube has 3x3 cubes, then each face has 9 small cubes.
We can think of a Rubik's Cube as 3 pieces, such that each piece has 9 small cubes on it, and the 3 pieces are: Front side, middle part, back part.
Then the total number of small cubes on a Rubik's cube is 9*3 = 27 small cubes.
Now we know that each one of these small cubes has a volume of 1 in^3
Then the volume of 27 of these cubes is 27 times the volume of a single smaller cube, then the volume of the Rubik's Cube is:
V = 27*( 1 in^3) = 27 in^3
#6thgrademath help
Em uma escola,estudam em tres periodos 1256 meninas e 1593 meninos. quantos alunos estudam nessa escola?
Answer:
I will answer in English.
This can be translated to:
In a school, 1256 girls and 1593 boys study in three periods. how many students study at that school?
This means that we have a total of:
(1256 + 1593) students = 2849 students, divided in 3 periods.
So the total number of students in that school is 2849
And the number of students per period is:
2849/3 = 949.7
Because we can only have whole numbers here, we can say that in each period there are around 950 students.
Help me with this!!!!
please solve this simultaneous equation
Answer:
b6 2hich method
Step-by-step explanation:
I solv3 this
Ian went to a music store to buy a guitar. The guitar which he picked out was $350. He found out that there was a sale that day and all guitars were 20% off. Since he had a rewards card at the music store,he was also able to receive 5% off the sale price. How much did Ian pay, without tax,for the guitar?
Answer:
$266
Step-by-step explanation:
The amount did Ian pay, without tax,for the guitar is to be considered as the $266 when the off and discount are given.
Calculation of the amount:Since the cost of the guitar is $350
There is 20% off.
And, there is 5% off the sale price
So, it be like
= 350 (1 - 0.20) (1 - 0.05)
= $266
hence, The amount did Ian pay, without tax,for the guitar is to be considered as the $266 when the off and discount are given.
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You put a fence around the dog pen and fill it with gravel. The fence costs $1.50 per foot. One bag of gravel covers 4 square feet and costs $3.50. How much do you spend?
If a triangular and rectangular fence is put around the dog pen and fill it with gravel. The cost of fence is $1.50 per foot, and cost of one bad of gravel is $3.50. The total amount spend is $218.5
What is rectangle?"Rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square."
What is triangle?"A triangle is a polygon with three edges and three vertices."
The given figure contains a rectangle and a triangle.
Length of rectangle = 10 ft
Breadth of rectangle = 8 ft
Area of rectangle = length × breadth
Area of rectangle = 10 × 8 = 80 ft.
Base of triangle = 8 ft.
Height of triangle = 3 ft.
Area of triangle = [tex]\frac{1}{2}[/tex]× base × height
Area of triangle = [tex]\frac{1}{2}[/tex]×8×3 = 12 ft.
Total area of fence = Area of rectangle + Area of triangle
Total area of fence = 80 + 12 = 92 ft.
Cost of one foot of fence = $1.50
Cost of 92 foot of fence = $1.50 × 92
Cost of 92 foot of fence = $138
4 square feet is covered by = 1 bag of gravel
1 square feet is covered by = [tex]\frac{1}{4}[/tex] bag of gravel
92 square feet is covered by = [tex]\frac{1}{4}[/tex]×92 = 23 bags of gravel
Cost of 1 bag of gravel = $3.50
Cost of 23 bags of gravel = $3.50 × 23 = $80.5
Total amount spend = $138 + $80.5 = $218.5
Hence, total amount spend is $218.5
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Elena is making chocolates. She starts by melting a block of chocolate
shaped like a rectangular prism. Then she pours the melted chocolate
into molds shaped like rectangular prisms. How many chocolates can
Elena make with the block of chocolate?
Answer:
well tell us any measurements or any numbers that follow along with this problem.
Solve the following quadratic by using square root property. x2 + 16 = 0
A. X= 16 , x= -16
B x = 4, x= -4
C x= 4i , x= -4i
what's the answer to this pls I'll give brainliest
Answer:
41 the answer is 41 :)
Step-by-step explanation:
By what percentages are Sweden's high category and medium category less than the United States' categories (to the nearest percent)?
High category = a0 %
Medium category = a1 %
REQUIRED CHART :
The required chart has been attached
Answer:
31.8%
30.0%
Step-by-step explanation:
Required :
To obtain the Difference between Sweden and United States high and medium categories to the nearest %
Sweden :
High category = $23.51
Medium category = $15.73
United States :
High category = $34.48
Medium category = $22.46
Percentage Difference :
High category : (34.48 - 23.51) / 34.48 * 100% = 31.8%
Medium category : (22.46 - 15.73) / 22.46 * 100% = 29.96% = 30.0%
Please help use 3.14 for pi
1. Find the present value of an investment that is worth $19,513.75 after
earning 3% simple interest for 5 & 1/2 (5.5) years.
2. Mr. Clopu buys an 18-month CD that pays 4 3/4% simple interest for $5,000. Find the value of the CD at the end of its term.
1) To get the present value, we need to get the amount after 5.5years
Amount = Principal + Interest
Interest = PRT/100
Interest = $19,513.75*3*5.5/100
Interest = 321,976.875/100
Interest = $3219.76875
Amount = $19,513.75+$3219.76875
Amount = 22,733.51875
Hence the present value is $22,733.51875
2) Simple Interest = PRT/100
Simple Interest = 5000*(4 3/4)* 18/12*100
Simple interest = 5 * 19 * 18/4*12
Simple interest = 1710/48
Simple interest =35.625
Amount = 5000 + 35.625
Amount = $5035.625
Hence the present value is $5035.625
50 POINTS! By using shadows, Tatiana wants to find the height of a building. At a certain time of day, her shadow is 2.4 feet long and the building’s shadow is 16 feet long. Her height is 5.8 feet. How tall is the building?
What is the average rate of change between x = 10 and x = 30
Answer:
everyone always asks "where's the toilet?" but no one ever asks "how's the toilet?" :'(
Step-by-step explanation:
What is the meaning of the point with an x-coordinate of 2?
Answer:
A
Step-by-step explanation:
Because the x-coordinate is in seconds. Which eliminates answer B
Also, the Y-coordinate is measured in 40 meters per unit, this eliminates C and D.
a triangular prism has bases that are 3 inches tall and 8 inches wide the remaining two sides of each triangular base are 5 inches long, and the distance between the bases of the prism is 12 inches. What is the total surface area?
Answer:
there are 16 inches of bases
Need help please! I added a picture for the question need help ASAP!
Answer:
36%
Step-by-step explanation:
Tried it with 100 as a base and got to 36. Should be right :)
Answer:
He had not sold 90%
Step-by-step explanation:
make everything a percent. 20%+20%+25%+25%. Then subtract the total by 100% and get 90%
what is 40% off of $400.00
Answer:
$240
To find 40% of $400:
40% (or .4) • $400 = $160
**$160 is 40% of 400**
To find 40% **OFF** of $400:
$400 - $160 = $240
Ben has a piece of plywood that measures 1 yard on each side.He cuts the wood into 6 equal pieces.Each piece is 1/3 yard wide and 1/2 yard long.What is the area of each piece that Ben cuts?
Answer:
The area is "[tex]\bold{\frac{1}{6}}[/tex]".
Step-by-step explanation:
In this question, to understand the problem we use the model, that Begins with drawing squares from each side which is 1 yard, and divides these as defined throughout the problem. To fix the issue, using the given model, please find the attached file.
Calculating the area of the one-piece:
[tex]=\frac{1}{2} \times \frac{1}{3}\\\\=\frac{1}{2\times 3}\\\\=\frac{1}{6}\\\\[/tex]
30% of what number is 7.5??
Answer:
x = 25
Step-by-step explanation:
the question can be given as x * .3 = 7.5, or rearanged into
7.5/0.3 = x
75/3 = x if you multiple the fraction by 10/10
x = 25 in this case
Mr. barrera has 2 bags of cat food. One bag has 20 ounces and the other has 3 1/2 times as much as the first bag. If Mr. Barrera uses 1/5 of the cat food from the larger bag to feed his cats, how many ounces of cat food did he use?
Answer: 14 oz
Step-by-step explanation: Trust me it’s right
The number of ounces of cat food that Mr. Barrera used is; 14 Ounces (Oz)
Number of bags with cat food = 2 bagsNumber of ounces in first bag = 20 OzOther bag has 3½ times as much as first bag. Thus;
Number of ounces in second bag = 3½ × 20 = 70 Oz
He uses 1/5 of the cat food from the larger bag.
Thus;
He used; 1/5 × 70 = 14 Oz of cat food
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Solve the system of equations by multiplying first. Enter the solution as an ordered pair.
x + 3y = -13
4x + 4y = -12
The solution is
Given:
The system of equations is:
[tex]x+3y=-13[/tex]
[tex]4x+4y=-12[/tex]
To find:
The solution for the given system of equations.
Solution:
We have,
[tex]x+3y=-13[/tex] ..(i)
[tex]4x+4y=-12[/tex] ...(ii)
Multiply equation (i) by 4, to make common coefficient of x.
[tex]4x+12y=-52[/tex] ..(iii)
Subtract (ii) from (iii).
[tex]4x+12y-4x-4y=-52-(-12)[/tex]
[tex]8y=-40[/tex]
[tex]y=\dfrac{-40}{8}[/tex]
[tex]y=-5[/tex]
Putting [tex]y=-5[/tex] in (i), we get
[tex]x+3(-5)=-13[/tex]
[tex]x-15=-13[/tex]
[tex]x=-13+15[/tex]
[tex]x=2[/tex]
Therefore, the solution of the given system of equations is [tex]x=2,y=-5[/tex].
What is the total surface area??
Answer:
790 units^2
Step-by-step explanation:
Take the area of each side and add them all up. Remember each side is there twice.
Formula: SA = 2(15*5 + 15*16 + 5*16)
SA = 2(75 + 240 + 80)
SA = 2(395)
SA = 790
Hi could can you please tell me the answer and tell me how you got it so I can understand this? Both 6 A and B
Answer:
you would do 16000 - 13920 and get 12080 and then dive 12080 by 16000 giving you .755 that would be how much is full and then subtract 1 and .755 to get B
What is the area of the parallelogram?
please help asap - ill give brainiest
Answer:
this is your answer. look it once
