Answer: x=-2
Step-by-step explanation:
4(5x+5) = - 24 + 4
20x+20=-24+4 ==> Distributive Property
20x+20-20=-24+4-20
20x=-20-20
20x=-40
x=-2
You deposit money in an account that earns simple
interest at an annual rate of 6%. After 8
years, the account earns $360 in interest. How much money did you deposit in the account?
By writing an exponential equation, we can conclude that the initial deposit is of $606.22
How much money did you deposit in the account?Here we know that we have an annual rate of 6%, so if you deposit an initial amount of A, the amount of money that the account has after t years is:
M(t) = A*(1 + 6%/100%)^t = A*(1.06)^t
Now, you know that after 8 years you earn (in interest) $360, then we can write:
M(8) - A = 360
A*(1.06)^8 - A = 360
Now we can solve that equation for A.
A*( (1.06)^8 - 1) = 360
A = 360/( (1.06)^8 - 1) = 606.22
The initial deposit is of $606.22
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A vintage car costs $32,000 when purchased. The car increases in value by approximately 7% at the end of each year, x, after it is purchased. Which inequality can be used to find the years the car is worth more than $75,000?
Answer:
[tex]32000( {1.07}^{x} ) > 75000[/tex]
The required inequality represents the worth of the car more than $75,000 is 32000[1.07]ˣ > 75000.
Given that,
A vintage car costs $32,000 when purchased. The car increases in value by approximately 7% at the end of each year, x, after it is purchased.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
According to the question,
The relationship of the cost of the car after x year,
= 32000[1 + 0.07]ˣ
= 32000[1.07]ˣ
Now, this cost should be more than $75000
So,
32000[1.07]ˣ > $75000
Thus, the required inequality represents the worth of the car more than $75,000 is 32000[1.07]ˣ > 75000.
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A square has side lengths that measure units 2√5 units
We get the perimeter 8 √ 5 units as and the area as 10 units² .
We are given that a square has side lengths that measure 2√5 units.
We know that, the perimeter of square is:
P = 4 × side units
P = 4 × 2 √ 5 units
P = 8 √ 5 units
We also know that the area of square is:
A = side²
A = ( 2 √ 5 units ) ²
A = 2 × 5 units²
A = 10 units²
Therefore, we get the perimeter 8 √ 5 units as and the area as 10 units² .
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Your question was incomplete. Please find the content below.
A square has side lengths that measure 2√5 units. Find perimeter and area.
ASHBOARD OURSES TY PATH UNCEMENTS D HELP? 7. Find the area of the circle. Use 3.14 for the value of 7. Round your answer to the nearest tenth. 804 mi O 12866.6 mi² 201 mi O226.9 mi 5.9 mi²'s 8 mi
Based on the radius of the circle and the value of pie, the area of the circle to the nearest tenth is 201 mi²
What is the area of the circle?The area of a circle can be found by the formula:
= Pie x radius x radius
The radius of this circle is 8 mi and pie is 3.14.
The area of the circle is:
= 3.14 x 8 x 8
= 3.14 x 64
= 200.96
= 201 mi²
In conclusion, the area of the circle is 201 mi².
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if (x)=5x+4 find (3)?
Sells are 3750000 what is 2.5%
Answer:
93750 is the answer!!!!!
3) Which two recipes have equivalent ratios of cups of flour needed to the number
of cookies?
Recipes
Peanut Butter
Sugar
Chocolate Chip
Macadamia Nut
7th Grade Home Study Due 09/21/22
Cups of Flour Needed
3
4
2
3
Number of Cookies
48
64
25
27
Math-Aids Com
3-4x=23
I’m stuck and need help
Answer:
Step-by-step explanation:
Simplifying
3 + -4x = 23
Solving
3 + -4x = 23
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -4x = 23 + -3
Combine like terms: 3 + -3 = 0
0 + -4x = 23 + -3
-4x = 23 + -3
Combine like terms: 23 + -3 = 20
-4x = 20
Divide each side by '-4'.
x = -5
Simplifying
x = -5
Find the distance between two points.
P(5\sqrt{x} 3,7\sqrt{x} 5),Q(\sqrt{x} 3,-\sqrt{x} 5)
The distance between the two points is approximately 19.18 units
The length of the line segment connecting any two points is referred to as their distance. In coordinate geometry, the distance formula is usedto calculate the distance between two points.
In 1731, the distance formula itself was first made public. Pythagorean distance is another name for Euclidean distance. The Pythagoras is used to derive the distance formula.
If two point are given as A [tex](x_1,y_1)[/tex] and B [tex](x_2,y_2)[/tex] then the distance between the two points or the length of AB is calculated using the formula:
[tex]AB = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
The co ordinates of the two points are given as [tex](5\sqrt{3},7\sqrt5 )[/tex] and [tex](-\sqrt{3},-\sqrt{5} )[/tex].
Therefore distance between the points will be given by:
[tex]=\sqrt{(5\sqrt{3} - \sqrt{3} )^2 + (7\sqrt{5} -(-\sqrt{5} )^2}\\=\sqrt{(4\sqrt{3})^2+(8\sqrt{5})^2 }\\=\sqrt{48+320}\\=\sqrt{368}\\\approx19.18[/tex]
The distance between the two points is approximately 19.18 units.
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X N How many lines of symmetry does the pattern have? b What is the order of rotational symmetry of the pattern?
Answer:
The answer is 5
Step-by-step explanation:
From every side
If 3/8 in. on a drawing represents 1 ft, how many inches on the drawing will represent 42 ft?
Answer:
[tex]\frac{63}{4}[/tex]
Step-by-step explanation:
[tex]\frac{42}{1} x \frac{3}{8}[/tex]
Cross out common factors 42 & 8;
[tex]21 * \frac{3}{4}[/tex]
Write as a single factor.
[tex]\frac{21*3}{4}[/tex]
21*3= 63
[tex]\frac{63}{4}[/tex]
leta had $45 in her account in may. how much money does she have in her account in august?
Leta has $24 in her account in august;
Amount of money in Leta's Account in may=$ 45
If leta has not spent a penny till august,and not added a penny in her account, then amount of money in leta's account = $45
Money in Leta's account in June = $45 - $17 = $28
Money in Leta's account in July = $28 - $22 = $6
Money in Leta's account in August = $6 + $18 = $24
Amount, sum, sum of money; "he borrowed a considerable sum," "the amount he had in cash was insufficient." Gain is the difference between a company's revenue and operating expenses. The whole amount of income before any deductions is referred to as gross, receipts, or revenue.
The amount of money you have accessible in your checking or savings account is known as your account balance in the world of banking. The net amount remaining in your account after all deposits and credits have been balanced against any charges and debits is your account balance.
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Consider the set of all factors of 42 and 48 are greater than 1, with no repeating element. What is the median of the set?
A. 7
B. 12
C. 7.5
D. The set has no median.
The tutor who answered this question said C, but I don't understand how he got that answer. Can you please help?
Answer:
it is C because If you subtract 48 from 42 and then you ad 1 you get 7.5
Write an explicit and a recursive formula for the sequence.
1, 7, 13, 19, 25, ...
Write an explicit formula. ▸
an (Simplify your answer.)
Answer:
The common difference equals: 6
The sum of the sequence equals: 176
The explicit formula of this sequence is: a_n=1+(n-1)*6
The recursive formula of this sequence is: a_n=a_((n-1))+6
1,7,13,19,25,31,37,43,49,55,61...
Step-by-step explanation:
nice :0
Find the slope to the line parallel to f(x)=-3x+12
Answer: -3
Step-by-step explanation:
Parallel lines have the same slope.
The slope of f(x)=-3x+12 is -3.
Slope: -3
Answer:
The slope would be -3
Step-by-step explanation:
The number before the x represents the slope. Parallel lines have the same slope.
14+6divided by 2=20 divided by 2
=10
is your cousin correct?
(Answer needed)
Answer:
No
Step-by-step explanation:
Following pemdas (parentheses exponents multiplication addition subtraction) you would do division first so 6/2 equals 3 then 14+3=17 divided by 2 equals 8.5
The town swimming pool is d feet deep the width of the pool is 10 feet greater than five times it’s depth the length of the pool is 35 feet greater than five times its depth right and simplify an expression to represent the volume of the pool
The expression for the volume of the pool is given by (25 d³ + 225 d² + 350 d) feet³.
We have:
We are given that the depth of the pool is = d feet
Width of the pool is 10 feet greater than five times it’s depth
Width of the pool = 10 + 5 d feet
length of the pool is 35 feet greater than five times its depth
Length of the pool = 35 + 5 d
We know that:
Volume = l b h
Volume = (d) × (10 + 5 d) × (35 + 5 d)
Volume = (10 d + 5 d²) (35 + 5 d)
Volume = 350 d + 175 d² + 50 d² + 25 d³
Volume = (25 d³ + 225 d² + 350 d) feet³
Therefore, we get that, the expression for the volume of the pool is given by (25 d³ + 225 d² + 350 d) feet³.
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Joel noticed that when he runs, his heart begins to beat rapidly. Joe wants to do an experiment to see if his heart beats faster the longer he runs. Which is the best design for Joel‘s experiment?
a. Joel should get a group of people to run. Then he should ask them what their heart rates were after one minute.
b. Joe should ask someone to run at one speed. Then he should run the same amount of time at another speed.
c. Joel should run at a constant speed and measure his heart rate after different amounts of time has passed.
d. Joel should run different amounts of time at many different speeds and measured the heart rate during each run.
Answer:
C
Step-by-step explanation:
We can go through the process of elimination to solve the question.
A is incorrect because they are only running for a minute and the variation between time and heart rate cannot be measured.
B is incorrect because there are too many variables to account for and they are both running for the same amount of time.
D is incorrect because there are too many variables to account for and it is not a fair test as he is running at many different speeds (you can only change the independent variable which is the time).
Hence, C is the answer. It is a fair test as he is running at different speeds and keeping everything else the same.
Two pedestrians simultaneously left two villages 27 km apart and walked toward each other, meeting after 3 hours. The first pedestrian walked at a speed of 4 km per hour. At what speed (in km per h) did the second pedestrian walk?
The speed of the second pedestrian is 5 kilometers per hour.
At what speed did the second pedestrian walk?Let's say that the speed of the second pedestrian is S.
We know that the other pedestrian walks at a speed of 4km/h, and they (together) travel a distance of 27km in 3 hours, then we can write the linear equation:
(4km/h + S)*3h = 27km
It says that both pedestrians work, together, a total of 27km in 3 hours.
Now we can solve that linear equation for S, to do this, we need to isolate S in the left side of the equation.
4km/h + S = 27km/3h = 9 km/h
S = 9km/h - 4km/h = 5km/h
The speed of the second pedestrian is 5 kilometers per hour.
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A worm is at the bottom of a ravine. Every day it climbs up 5 feet, but every night while it is sleeping, it falls back 3 feet. a) How long will it take the worm to crawl up the ravine if it is 20 ft high? b) What if the ravine is 97 feet high?
Answer:
a) 9 days
b) 47 days
Step-by-step explanation:
Given information:
Distance worm climbs each day = 5 ftDistance worm falls back each night = 3 ftPart (a)[tex]\begin{array}{|c|r|c|r|}\cline{1-4} \sf Day & \sf Height\:{(ft) & \sf Night & \sf Height\:(ft) \\\cline{1-4} 1 & 5 & 1 & 5 - 3 = 2\\\cline{1-4} 2 & 2 + 5 = 7 & 2 & 7 - 3 = 4 \\\cline{1-4} 3 & 4 + 5 = 9 & 3 & 9 - 3 = 6 \\\cline{1-4} 4 & 6 + 5 = 11 & 4 & 11 - 3 = 8 \\\cline{1-4} 5 & 8 + 5 = 13 & 5 & 13 - 3 = 10 \\\cline{1-4} 6 & 10 + 5 = 15 & 6 & 15-3=12\\\cline{1-4} 7 & 12 + 5 = 17 & 7 & 17 - 3 = 14 \\\cline{1-4} 8 & 14 + 5 = 19 & 8 & 19-3=16\\\cline{1-4} 9 & 16 + 5 = 21 &&\\\cline{1-4}\end{array}[/tex]
On the first day the worm climbs 5 ft, but slips back 3 ft during the first night.
On the second day the worm climbs a further 5 ft, so is now at 7 ft, but slips back 3 ft during the second night. Therefore, it starts the third day at a height of 4 ft.
The progression continues this way so that the worm starts the 9th day at a height of 16 ft. As it climbs 5 feet during the day, it will reach the height of 20 ft during the 9th day, and so will climb out of the ravine before it sleeps for the night.
Therefore, it will take 9 days for the worm to crawl up a 20 ft ravine.
This can be modeled as an arithmetic sequence:
[tex]y=a+(x-1)d[/tex]
where:
y = height of ravinex = number of daysa = initial height after the first dayd = common difference = 2Therefore:
[tex]\implies y=5+(x-1)2[/tex]
[tex]\implies y=5+2x-2[/tex]
[tex]\implies y=3+2x[/tex]
Part (b)To calculate how long it will take the worm to crawl up the ravine if it is 97 ft high, substitute y = 97 into the equation and solve for x:
[tex]\implies 3+2x=97[/tex]
[tex]\implies 3+2x-3=97-3[/tex]
[tex]\implies2x=94[/tex]
[tex]\implies \dfrac{2x}{2}=\dfrac{94}{2}[/tex]
[tex]\implies x=47[/tex]
Therefore, it will take 47 days for the worm to crawl up a 97 ft ravine.
On the coordinate plane, the segment from U(4, -6) to V(-8, -11) forms one side of a
rectangle. The rectangle has a perimeter of 78 units. Find the area of the rectangle.
Write your answer as a whole number, decimal, or simplified radical. Do not round.
___ square units
pls help me
The area of the rectangle = 338 square units
The co-ordinate plane has two axes X and Y.
The points in the co-ordinate plane is given as U(4, -6) to V(-8, -11).
i.e., (x₁, y₁) = (4, -6) and (x₂, y₂) = (-8, -11)
The distance between these points are considered as a side of a rectangle.
Distance between U(4, -6) and V(-8, -11) = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
= [tex]\sqrt{(-8-4)^2+(-11--6)^2}[/tex]
= [tex]\sqrt{(-12)^2+(-5)^2}[/tex]
= √169
= 13 units
So the length of one side of rectangle, l = 13 units
Let 'w' be the width of the rectangle.
Also perimeter of the rectangle = 78 units
⇒ 2(l +w) = 78
⇒ l +w = 39
⇒ w = 39 -l
⇒ w = 39 - 13
⇒ w = 26 units
Area of the rectangle = length x width
= l x w
= 13 x 26
= 338 square units
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Which of the following functions is graphed below?
(Picture included)
Answer:
B. y=|x+6|-3
Please help me fast. Trying to figure this out. Answer a-C. You don’t need to explain
Answer:
The value of b would be $25 since it's the initial amt. The value of m would be $8. The equation would be y=8x+25
Write an expression for the total length of the line segments, and simplify it.
z z 8 and x x x
HELPPP PLEASEEEE
Step-by-step explanation:
Copyright © McGraw Hill
7. The table gives information about how many
times a butterfly flaps its wings in a set
amount of time. Write a description of the
relationship. Include if it is proportional. If it
is, give the constant of proportionality and
the unit rate. If it is not, explain why not.
(Example 5)
Time (sec)
1
Number of Wing Flaps 20
2 3
4
40 60 80
3.1
8. The table s
runner. Use
proportion
Distance
Time (h)
The description in the table is that for every second, there are 20 wing flaps.
How to illustrate the information?It should be noted that the constant of proportionality is a term that used to show the proportional relationship between different values.
In the table, at 1 second, the number was 20 while at 2 seconds, the number of wing flaps is 40.
Therefore, the constant of proportionality will be:
= 20/1
= 20
Therefore, the description in the table is that for every second, there are 20 wing flaps.
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Jade earned $20 for walking 4 dogs. If the ratio of money earned to dogs walked is constant, how many more dogs will she need to walk to earn a total of $100?
Answer:
Jade would need to walk 16 more dogs to earn $100 total.
Step-by-step explanation:
20 divided by 4 equals 5, so that means Jade is earnings $5 per dog. Just multiply 5 for each dog Jade walks, and you have your answer! If she already walked 4 dogs and made $20, then do 5 times 16 for your answer.
PLEASE HELPPP
You are given a bag with 3 cubes (1 green and 2 white). You put all 3 cubes in a bag and shake the bag and pick a cube. If you pick a green cube, you get 2 points. If you pick a white cube, you get 1 point.
If you play the game 15 times, how many times do you expect to select a green cube?
a)
5
b)
10
c)
15
d)
20
Answer: a) 5
Step-by-step explanation:
Answer:
A:5
Step-by-step explanation:
I say 5 times because you said '1 green cube and 2 whites' it is very possible you can get green 5 times but 10, 15, and 20 times seems a bit lucky is maybe the word i'm looking for but overall i say 5 because 5 is possible. Virtual smile ; )
I really hope i helped
Jackson has 2,000 baseball cards in his collection Gabe has 1/10 as many baseball cards in his collection as Jackson. how many baseball cards does Gabe have in his collection
Answer:
2200
Step-by-step explanation:
1/10 of 2000 is 200. add it on top of 2000
You walk 14 miles to a shoe store. Then you walk another 15 miles to a music store. How many miles have you walked in all?
Answer:
14+15=29 or 14x15=210
Step-by-step explanation:
.
Suppose the value of y and the value of x vary together at a constant rate of change (so that Δ y = 0.5 ⋅ Δ x ), and y = 1.5 when x = 3 . We are given that y = 1.5 when x = 3 . Plot a point on the graph to represent these values
Graph with points x=3 and y =1.5
In mathematics, a histogram can be defined as a graphical or graphical representation of data or values in an organized manner. Points on a graph usually represent a relationship between two or more things. We can also represent the data using a bar chart. The quantity of each supply is represented by bars. The higher the bar, the more supplies or items are used.The representation of information in pictures is called pictograms. Several elements are represented by each image. A bar chart is a representation of numerical data using rectangles (or bars) of equal width and variable height. Line charts use points connected by lines to show changes over a period of time. Pie charts are also known as pie charts. It shows how a whole is divided into different parts.Learn more about graph here
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