Answer:
In year 6 monthly rent would cost you $1650 and it would cost $19,800 for the whole year of year 6
Step-by-step explanation:
1200x12=14,400 = year 1
1290x12=15,480=year 2
1380x12=16,560=year 3
1470x12=17,640=year 4
1560x12=18,720=year 5
1650x12=19,800=year 6
The monthly rent during the 6th year of apartment is A = $ 1,650
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
After each year, the rent goes up by $90, so in the second year the rent would be $1200 + $90 = $1290 per month, in the third year it would be $1290 + $90 = $1380 per month, and so on
On simplifying the equation , we get
Therefore, during the 6th year of living in the apartment, the monthly rent would be:
A = $1200 + ($90 x 5)
A = $1200 + $450
A = $ 1,650
Hence , the monthly rent is A = $ 1,650
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seven more than the quotient of a number and 2 is 10
Answer:
7+X/2=10 answer is 6
Step-by-step explanation:
Research done in the mid 1980s indicated that 80% of grizzly bears in the greater ecosystem of Yellowstone National Park entered their den for hibernation by the last day of November. This has come into question as of late. Researchers have hypothesized that climate change has postponed bears entering hibernation until later in the season; that is, researchers believe that a smaller percentage of bears are entering their den for hibernation by the last day of November. Sixty-two Yellowstone grizzly bears were tracked via radio monitors, which allow scientists to pinpoint when the bears enter their dens with a high degree of accuracy. Of the sixty-two Yellowstone grizzly bears being tracked, forty-two entered their den for hibernation by the last day of November.
What values would you enter for each of the following in the One Proportion applet to conduct a simulation-based hypothesis test with these data?
The sample size that's given is 62 and the probability of success will be 0.68.
How to calculate probabilityFrom the complete question, it can be noted that the sample size that's given is 62 while the number of samples is 42.
In this case, the probability of success will be:
= Number of samples / Sample size
= 42/62 = 0.68
In conclusion, the probability of success is 0.68.
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3(x-2)
I don’t know how to do this
Answer:
3x - 6 should be it
I NEED THIS ANSWER ASAP!!!!
Solution:
We know the following rules:
Rule: If an exponent is negative, it will be in the fraction 1/nˣ.Rule: If an exponent is positive, it will be in whole number form and will multiply itself m times.Rule: if a number's exponent is 0, then the number is 1.Now, let's solve each problem.
Question-7
4³ = 4 x 4 x 4 = 644² = 4 x 4 = 164¹ = 44⁰ = 1Question-8
(-2)³ = (-2) x (-2) x -(2) = -8(-2)² = (-2) x (-2) = 4(-2)¹ = -2(-2)⁰ = 1Hoped this helped!
Answer:
7. 4⁴ = 4x4x4x4=256
4³= 4x4x4=64
4²= 4x416
4¹=4
4⁰=1 ( as every number that has power 0 = 1)
8. (-2)⁴
=(−2)*(−2)*(−2)*(−2)
=(-2)⁴
=16
(−2)³
=(−2)*(−2)*(−2)
=(−2)³
=−8
(−2)²
=(−2)*(−2)
=(−2)²
=4
(−2)¹
=−2
(−2)⁰
=1 ( ( as every number that has power 0 = 1)
plssss help i need to have this problem done by today or else my dad will be mad at me.
Answer:
x is 24° it is bcs triangle have at all 180°
that bigger one have 180-94-41=45° on right side
180-111-45=24° ez
Write the equation of the line in fully simplified slope-intercept form. 10 8 D 4 2 1 -12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 6 - 8 9 10 11 12 12
Answer:
y = -5x - 5
Step-by-step explanation:
y = -5x - 5
Slope intercept form is y = mx + b where m is the slope and b is the y intercept.
-5 is the y intercept and -5/1 or -5 is the slope/
3-45 so just do it -
find the circle and radius of circle at x^2 +y^2 +10x - 6y + 14=0
Answer:
see explanation
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Given
x² + y² + 10x - 6y + 14 = 0 ( collect the x/ y terms together and subtract 14 from both sides )
x² + 10x + y² - 6y = - 14
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(5)x + 25 + y² + 2(- 3)y + 9 = - 14 + 25 + 9
(x + 5)² + (y - 3)² = 20 ← in standard form
with centre = (- 5, 3 ) and r = [tex]\sqrt{20}[/tex] = 2[tex]\sqrt{5}[/tex]
Line m passes through point (-2,-1) and is perpendicular to the graph of y=-2/3x+6. Line n is parallel to line m and passes through the point (4,-3). What is the equation in slope-intercept form of line n?
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}} x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
well, we know that "m" is perpendicular to the line above, so that means that line "m" has a slope of
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-\cfrac{2}{3}} ~\hfill \stackrel{reciprocal}{-\cfrac{3}{2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-2}\implies \cfrac{3}{2}}}[/tex]
keeping in mind that parallel lines have exactly the same slope, and since we know that "n" is parallel with "m", that means that if "m" has a slope of 3/2 than "n" must have the same slope.
so we're really looking for the equation of a line whose slope is 3/2 and passes through (4 , -3)
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{4}) \\\\\\ y+3=\cfrac{3}{2}x-6\implies y=\cfrac{3}{2}x-9[/tex]
Given that 10 cm is approximately equal to 4 inches, which of the following expressions models a way to find out approximately how many inches are equivalent to 350 cm?
A
350×(104)
B
350×(410)
C
(10−4)×350
D
(350−10)×4
Answer: I don't Know
Step-by-step explanation: Thanks for the point tho :)
Find the common ratio of the geometric sequence 11, -55, 275,...11,−55,275,...
Answer:
r = -5
Step-by-step explanation:
common ratio (r) is found be dividing one term by its preceding term:
r = 275 ÷ -55 = -5
or, r = -55 ÷ 11 = -5
Therefore, r = -5
Three friends decide to rent an apartment and split the cost evenly. They each paid $640 towards the total move in cost of first and last month's rent and a security deposit. If rent is $650 per month, how much was the security deposit? a. $10 b. $207 c. $620 d. $1,270 Please select the best answer from the choices provided A B C D.
Total amount of security deposit, deposited by three friends after paying the rent is $620.01. Option C is the correct option.
What is monthly payment?The monthly payment is the amount which is required to pay each month to pay off the borrowed principal amount or the rent of a service charged monthly.
The rent of the apartment is $650 per month. The rent of the two months (first and last) is,
[tex]M=2\times650\\M=1300[/tex]
This rent is paid by three friends. Thus, the amount which is paid by an individual friend is,
[tex]P=\dfrac{1300}{3}\\P=433.33[/tex]
They each paid $640 towards the total move in cost of first and last month's rent and a security deposit. Therefore,
[tex]P=640-433P=206.67[/tex]
Thus, $206.67 is paid by each of them towards security deposits. The total amount of security deposit, deposited by 3 of them, is,
[tex]SD=206.67\times3\\SD=620.01[/tex]
Hence, total amount of security deposit, deposited by three friends after paying the rent is $620.01. Option C is the correct option.
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Evaluate:
–7.68 (–1.6)
A. –48
B. –4.8
C. 4.8
D. 48
Your Answer Should Be C.
To solve the equation 2x - 1 - 7 = 9,
first
DO
write each side with base 2
add 7 to each side
divide both sides by 2
To solve the equation [tex]2^{x-1} - 7 = 9[/tex], we add 7 to both sides make the bases the same, and equate the exponents.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
Given, An exponential expression
[tex]2^{x-1} - 7 = 9[/tex].
[tex]2^{x -1} = 9 + 7.[/tex]
[tex]2^{x-1} = 16.[/tex]
[tex]2^{x-1} = 2^4[/tex].
x - 1 = 4.
x = 5.
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Problem
Find the equation of the line passing through the point (2,−4) that is parallel to the line y=3x+2
Answer:
y = 3x - 10
Step-by-step explanation:
Please answer this (who ever answers correctly gets brainlest)
Answer:
5 and 1/3 yards = 16 ft
So 16 ft + 2 extra ft
The total is 18 ft (C.)
HELP WITH PROOFS PLEASE
Answer:
I guess it's D since BC= 132: 12 = 11 or both of the two places divided by 12
Which set of ordered pairs does not represents a function?
Answer:
The first option.
Step-by-step explanation:
You cannot repeat the x value if it is a function. The x value of 2 is repeated in the first option.
The spherical container has a radius of 21 cm. What is the approximate volume of the container? Use 3. 14 to approximate pi. Round to the nearest hundredth if necessary. Enter your answer as a decimal in the box. Cm³.
Volume of a figure is the measure of the space that figure occupies. The approximate volume of the specified container is 87.92 cm³
What is the volume of sphere?If the given sphere is of radius r units, then its volume is given as:
[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]
For the given case, the radius of the sphere is given to be 21 cm, and the value of pi is instructed to be used as 3.14
Thus, we have the volume of container as:
[tex]V = \dfrac{4}{3} \pi r^3 = \dfrac{4}{3} \times 3.14 \times 21 = 87.92 \: \rm cm^3{[/tex]
Thus,
The approximate volume of the specified container is 87.92 cm³
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I need some help with this one.
Answer:
B
Step-by-step explanation:
In the middle of the kite, there are 4 angles that are the same (90*)
So using the given angle 54 and the 90* we can find the last angle
54 + 90 = 144
180 - 144 = 36
The left-over angle is 36*
Find the magnitude of the vector (2,-5).
Write your answer in simplified radical form.
[tex] \rm \hookrightarrow \: \sqrt{ {2}^{2} + { - 5}^{2} } [/tex]
[tex] \rm \hookrightarrow \: \sqrt{4 \: \: \: \: + \sqrt{ 25 }}[/tex]
[tex] \rm \hookrightarrow \: \sqrt{29 }[/tex]
[tex] \rm \hookrightarrow \: 5.38 [/tex]
Which equation is equivalent to 16x−8+2x=100?
Answer: X=6.
Step-by-step explanation:
16x-8+2x=100
18x-8=100
18x=100+8
18x=108
x=108/18
x=6
Answer:
14x-8
Step-by-step explanation:
another equation is 14x-8=100
combine like terms
HELP THIS IS DUE SOON! PLEASE PROVIDE THE ANSWER ALONG WITH HOW YOU GOT THE ANSWER.
Torrance is buying presents for members of his family. He wants to spend $10 less on his brother than he spends on his sister, and six dollars more than twice the amount he spends on his sister on his mother. If Torrance has $100 to spend, how much does he intend to spend on his brother?
Let x = the $ Torrance spends on his sister
Answer:
Torrance spends 16$ on his brother
Step-by-step explanation:
You have 100$
So, we have
x (brother) + x (sister) + x (mother) = 100
But, since 10$ less will be spent on the sister than the brother, it becomes (x - 10) and twice + 6$ is spent on the mom, it also becomes (2x + 6)
Our equation then becomes
(x - 10) + x + (2x + 6) = 100
X will end up equaling 26. This is how much is spent on the sister.
(x - 10) will be substituted for (26 - 10), which equals 16.
I'm not sure if this is right so you might want to check with somebody (since I may be wrong) I hope this helps you understand how to basically do it though. <3
In a data set, the number of items that are in a particular category is called the.
In a data set, the number of items that are in a particular category is called the frequency
What is frequency?Frequency can be defined as the number of items that are in a particular category in a data set.
It is also described as the number of times the value \appears in the data set.
The distribution of a variable is defined by the pattern of frequencies, this means that, the set of all possible values and the frequencies associated with these values
Frequency distributions are also portrayed as frequency in tables or charts,
It is also important to note that relative frequency is the proportion of items in a particular category in a data set.
Hence, it is the frequency
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please help me !!! please The area, A, in square feet, of the base of a rectangular storage bin in a warehouse is given by the function A(x)=−2x^2+36x, where x is the width, in feet, of the storage bin. John said that factoring would be a more efficient way to solve for the maximum area compared to completing the square. Do you agree or disagree with John? I must Explain.
The area of the garden is the amount of space it occupies
John's claim is not true
How to determine if John's claim is trueThe function is given as:
[tex]A(x) = -2x^2 + 36x[/tex]
To determine the maximum area, we do not need to factorize the expression or apply completing the square.
Hence, John's claim is not true
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7(4g) + 3(5h) + 2(-3g); for g=1/2 ;.h =1/3
Helpppp
Answer:
16
Step-by-step explanation:
7(4g) + 3(5h) + 2(-3g); for g=1/2 ;.h =1/3
28g + 15h - 6g =
= 22g + 15h
= 22(1/2) + 15(1/3)
= 11 + 5
= 16
What is 6 (-2y+4) simplified
Answer:
-12y+24
Step-by-step explanation:
I used math---------way , so it is correct. brainliest please!
Answer:
Step-by-step explanation:
6 (-2y+4)
First, we use the distributive property to substitute the terms.
(-12y + 24)
Then we divide 24 by -12 to get -2.
24/-12 = -2.
y = -2
Find (f.g)(x) where f(x) = 3x + 1, g(x) = 2x + 7.
=
O (f•9)(x) = 6x2 + y 3x + 7
O (f.g)(x) = 6x2 + 7
O (fºg)(x) = 6x2 + 23x + 7
O(fºg)(x) = 5x + 8
Answer:
3rd option
Step-by-step explanation:
(f • g)(x)
= f(x) × g(x)
= (3x + 1)(2x + 7)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(2x + 7) + 1(2x + 7) ← distribute parenthesis
= 6x² + 21x + 2x + 7 ← collect like terms
= 6x² + 23x + 7
graph the basic exponential function helpp pleasereeeeee
Answer:
Step-by-step explanation:
The red one is g(x)=2^x+4
The blue one is f(x)=2^x-1 exponential function
The slope, m, of a linear equation can be found using the formula m = y^2 - y^1, where the x-axis and y-values come from two ordered pairs, and (x^1, y^1) and (x^2, y^2). What is the equivalent equation solver for y^2?
What is the range?
-2 -4 -4 -2 3 5
Answer:
9
Step-by-step explanation:
you do the max- min. so 5-(-4) which is really 5+4=9
Answer:1. range(1,10,2) - 1 to 9 with a gap of 2 numbers each so it yields - 1,3,5,7,9 2. [-2,-4,-6,-8,-10] - range(-2,-11,-2) 3. (i) range(4,20)[2:5] - Generates the list of number…
example: 1.What sequence of numbers is equivalent to the given ranges?
range(1,10,2)
2.Express the following as a range.
[-2,-4,-6,-8,-10]
3.What do each of these expressions yield?
(1) range(4,20)[2:5] (2) list(range(10,60,4)[-2:1:-4] (3) range(3,12,4)[2]
(4) range(0,9,2)[:] (5) range(2,20)[-2:-10:-1] (6) range(3,18,2)[::2]
(7) range(1,33,6)[1::2] (8)range(-5,20,3)[-8:5:2]