Answer:
for 4 years: [tex]72,700 + 1.035^4(72,700)[/tex]
For n years: [tex]72,700 + 1.035^n(72,700)[/tex]
Step-by-step explanation:
Since each year the growth rate is 3.5 of the last year, n will represent the number of years.
[tex]72,700 + 1.035^n(72,700)[/tex]
Therefore since n is 4, the equation will be:
[tex]72,700 + 1.035^4(72,700) =72,700 + 1.15(72,700)[/tex]
Therefore this equation represents the town after four years.
Answer:
P=72,700(1+0.035)(1+0.035)(1+0.035)(1+0.035)
Step-by-step explanation:
A circle has a radius if 20 centimeters and a central angle that measures 118 degrees. Find the length of the arc defined by thus central angle
[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =118 \end{cases}\implies \begin{array}{llll} s=\cfrac{(118)\pi (20)}{180}\implies s=\cfrac{118\pi }{9} \\\\\\ s\approx 41.19~cm \end{array}[/tex]
pls help me wirh this
Answer:
They will have 3 dollars left because they can buy 46 cartons. 46 cartons costs $184 dollars so 3 dollars left over from the budget
Step-by-step explanation:
NEED HELP ON 13 AND 14 ITS OK IF YOU CAN ONLY ANSWER ONE, I WILL GIVE OUT BRAINLIEST, FIND THE LENGTH OF THE SEGMENTS IN THE PICTURE PLEASE
Answer:
It is the string theory dialated from quantum physics and decierived to the injudices of quadratic equations.
Help please with trigonometry hw please
when he saw 9 customers walk in. He already had 31 wings cooked, but started cooking 32 more. The customers bought all the wings and split them equally. How many wings did each person get?
Answer:
7
Step-by-step explanation:
31 Wings (already cooked)
+ 32 Wings (started cooking)
= 63 Wings total
divided by 9 customers
= 7 per person
The town of Lantana needs $14,000 for a new playground. Lantana
Elementary School raised $5,358, Lantana Middle School raised
$2,834 and Lantana High School raised $4,132.
About how much more money do they need to raise? Choose the best
estimate.
Answer:
1676
Step-by-step explanation:
14,000-5,358-2,834-$4,132 = 1676
Which shape is represented by the cross section below?
circle
cylinder
cone
ellipse
Answer:
cylider?
Step-by-step explanation:
Are the ratios 7:9 and 3:6 equivalent?
Answer: No
Step-by-step explanation:
Derrick watched his basketball team during the season and recorded the team’s score for each game. should see a histogram how many times did the team score more than 50 points? enter your answer in the box.
Considering the histogram, it is found that the team scored more than 50 points 26 times.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
Researching this problem on the internet, we have that:
The team scored between 51 and 60 points 12 times.The team scored between 61 and 70 points 11 times.The team scored between 71 and 80 points 3 times.12 + 11 + 3 = 26, hence the team scored more than 50 points 26 times.
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Last year, Michael biked 318 miles. This year, he biked m miles. Using m , write an expression for the total number of miles he biked.
Answer:
318 + m =total amount of miles
Without using a calculator, order the following expressions from least to greatest.
3 square root 27, pie, square root 8
Passes through (-2,13) and (2,-7); write answer in slope intercept form.
Step-by-step explanation:
You must first know the formular for gradient then use the applied formular for slope
What is the slope of the line that passes through the points (4, 8)(4,8) and (8, 6)(8,6)? Write your answer in simplest form.
Using linear function concepts, it is found that the slope of the line that passes through points (4,8) and (8,6) is of -0.5.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The line goes through points (4,8) and (8,6), hence when x changes by 4, y changes by -2, and the slope is given by:
m = -2/4 = -0.5.
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A rectangular rug has side lengths of (x- 2) feet
space does it cover?
and (x + 3) feet. How much floor space does it cover
Hi!
Your answer is [tex]x^2+x+6[/tex]
We are asked to find the floor space it covers, which we can solve for by finding the area of the rectangular rug, given its dimensions.
Dimensions:
(x - 2) x (x + 3)
Area of a rectangle:
Length x Width = Area
Plug dimensions into the formula:
[tex](x - 2)(x +3)[/tex]
Use the Distributive Property and FOIL method to solve (if you are not familiar with the FOIL method, see the image attached below):
[tex]x^2+3x-2x-6[/tex]
Combine like terms:
[tex]x^2+x-6[/tex]
Now, this isn't a numerical value, but as we do not know the value of x, this is the simplest answer we can get.
Find the volume.
10 km
8 km
4 km
6 km
Answer:
1920
Step-by-step explanation:
10 x 8 = 80
80 x 4 = 320
320 x 6 = 1920
PLEASE HELP! (WILL MARK BRAINLIEST.)
Christina wants to make a quilt. She purchases 1 ½ yards of blue fabric, ⅔ yards of polka dot fabric, and ⅝ yards of red fabric. How much total fabric did she buy?
*Please provide an explanation, thank you :) *
Answer:
2 19/24
Step-by-step explanation:
5/8 + 2/3= 1 7/24
1 7/24 + 1 1/2= 2 19/24
Answer:
67/24 or 2 19/24
Step-by-step explanation:
You can find a common multiple for all of the fractions.
24 is going to be the common multiple.
1 12/24+16/24+15/24
The volume of a cone is 36π in3
What is the volume of a cylinder with the same radius and height as this cone?
Answer:
[tex]\:V_{cylinder}=108\pi\: in^3[/tex]
Step-by-step explanation:
[tex] V_{cone} = 36\pi\: in^3[/tex] (Given)
[tex]\bold{To\: find:} \:V_{cylinder} [/tex]
It is given that: Cylinder has same base radius and height as that of cone.
[tex]\implies \:V_{cylinder}=3( V_{cone} ) [/tex][tex]\implies \:V_{cylinder}=3(36\pi\: in^3) [/tex][tex]\implies \:V_{cylinder}=108\pi\: in^3[/tex]A semicircular window with a RADIUS OF 20 inches is going to be laminated with a sunblock coating that costs 1.50 PER SQUARE INCH. How much will it cost to coat this window?
A: 200$
B: 942$
C: 1,593$
D: 1,884$
Answer:
B:942$
Step-by-step explanation:
(pi*20^2)/2 is approximately 628.32
628.32*1.5=942.48
The area of a circle is 153. 86 square meters. What is the the diameter of the circle? Use 3. 14 for π.
d =
meters
Answer:
Option (2). 14 m
Step-by-step explanation:
Formula to get the area of a circle 'A' =
where r = radius of the circle
Given in the question,
Area of the circle = 153.86 square meters
By putting the values in the formula,
153.86 = πr²
r = [tex]\sqrt{\frac{153.86}{\pi } }[/tex]
r = [tex]\sqrt{49}[/tex]
r = 7 meters
Diameter of circle = 2 × (radius of the circle
= 2 × 7
= 14 meters
Therefore, diameter of the circle is 14 meters.
Option (2) is the answer.
Explain how you would find the coordinates of the image (5, 2) if it was reflected over the x-axis and then that image was reflected over the y-axis what would be the end result?
Answer:
the end result is (-5 , -2)
Step-by-step explanation:
Let A’ be the image of A(5 ,2) by reflection over the x-axis
and Let A’’ be the image of A’ by reflection over the y-axis
Formula:
➽if we reflect a point M of coordinates (x , y) over the x-axis we get the image point M’ of coordinates (x , -y)
➽ if we reflect a point N of coordinates (z , t) over the y-axis we get the image point N’ of coordinates (-z , t)
_____________________________
According to the formula :
A(5,2) ———-> A’(5 , -2) ———-> A’’(-5 , -2)
Answer: To find the image after a reflection over the x-axis, I would negate the y-coordinate. To find the image after a reflection over the y-axis, I would negate the x-coordinate. So, reflecting the point (5, 2) over the x- and y-axis, I would get (–5, –2).
Step-by-step explanation:
Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?
The triangle is acute because 22 + 52 > 42.
The triangle is acute because 2 + 4 > 5.
The triangle is not acute because 22 + 42 < 52.
The triangle is not acute because 22 < 42 + 52.
Answer:
The second one. (The triangle is not acute because 2+4>5)
Step-by-step explanation:
If you try to make the triangle, one angle would be obtuse so it's not acute.
Pls give brainly, im trying to get the most possible :>
Zoe has a collection of 56 seashells. Then, she goes on a 3-day beach vacation and finds 12 new seashells each day. Which expression tells you the total number of seashells in Zoe's collection after her vacation? 56+(3+12) or 56+(3times12)
3.
Find the value of x, rounded to the nearest tenth.
31.8
10.3
10.7
31.4
the ansewr is D. 31.4
Step-by-step explanation:
the ansewr is D. 31.4
can anyone help me with this? no links
Answer:
Step-by-step explanation:
as you see the top "moves" like
2,4,6,8, and next will be 10
the bottom adds 3 to the previos answer
5,8,11,14, next will be 15
5th card is 10/15
Write your own equation in slope-intercept form and graph.
Answer:
No se
Step-by-step explanation
Espero Averte Ayudado:
- A jar contains 55 quarters and dimes. The total value of the coins is $8.50. Find the
number of quarters and dimes in the jar.
Answer:
20 quarters and 35 dimes.
Step-by-step explanation:
Let number of quarters = q
Therefore number of dimes = 55 - q
By condition, q * 25 + (55 - q) * 10 = 850 [all converted to cents]
25q + 550 - 10q = 850
25q - 10q = 850 - 550
15q = 300
q = 300/15 = 20
Therefore, number of quarters = 20
and number of dimes = 55 - 20 = 35
Pieces of a puzzle snap together to form composite figures. What is the area of the puzzle pieces above?
Answer:
Male and Female
Step-by-step explanation:
The male connecting piece is outward and the female is inward.
What is the surface area of this square pyramid?
o 72 cm2
o 384 cm
o 204 cm
o 240 cm2
The surface area of this square pyramid is,
⇒ SA = 296 cm²
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
To find the surface area of this square pyramid
Now, We know that;
the surface area of this square pyramid is,
⇒ SA = B + 1/2 pl
Where, B represents the area of the base. p represents the perimeter of the base. l represents the slant height.
Now, We get;
B = 12 x 8
B = 96
p = 2 (12 + 8)
p = 40
l = 10
Thus, the surface area of this square pyramid is,
⇒ SA = B + 1/2 pl
⇒ SA = 96 + 1/2 x 40 x 10
⇒ SA = 96 + 200
⇒ SA = 296 cm²
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At store A a pair of shoes is
on sale for 25% off the
regular price of $30. At store
B the same pair of shoes is
on sale for 20% off the
regular price of $28. What is
the difference between the
sales price of the two stores?
Answer:
the.answer is a a pair of shoes is on sale for 25% off the regular 30 at the store
The profit (p) a baker earned, in dollars, is proportional to the number of muffins (m) sold. This equation represents this relationship.
P = 0.75m
enter the profit earned for each muffin sold.
P = 0.75m represents the proportional relationship, therefore, the profit earned for each muffin sold is: $0.75.
What is Proportional Relationship?If two variables, i.e. P and m are directly proportional to each other, the relationship between them can be represented as P = km, where k is the constant.
Given that P = 0.75m represents the proportional relationship between the profit earned and muffins sold, the constant, k, is 0.75, which is the profit earned for each muffin sold.
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