The monthly rent during the 8th year of living in the apartment will be $2160.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
You rent an apartment that costs $800 per month during the first year, but the rent is set to go up by $170 per year.
Then the monthly rent during the 8th year of living in the apartment will be
Let y be the monthly rent and x be the number of years.
Then we have
y = 170x + 800
The rent after 8 years, then the rent will be
y = 170 × 8 + 800
y = 1360 + 800
y = $ 2160
Thus. the monthly rent during the 8th year of living in the apartment will be $ 2160.
More about the linear system link is given below.
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Scale on a map of Ireland is 1.2 000000 how many square centimetres are represented on the map by the province of Munster.
Question is incomplete, we will however explain how the scale works using examples
Answer and explanation:
Given the map scale 1:2000000, the fraction from this 1/2000000 is the representative fraction. The representative fraction is the ratio of distance on the map to the real distance on ground.
With the representative fraction 1/2000000, we can find how many meters on the ground is represented by a unit of measurement in centimeters on the map thus:
Given 1m= 100cm
Representative fraction broken down = 1/2×10000×100
Therefore 1cm on the map = 20000m on ground
Two different linear functions are shown below with two points given from each function. Use slope-intercept form or point-slope form to find the equation of each. Linear Function A Points: (–5, –2), (–5, 7) Linear Function B Points: (7, –5), (–2, –5) Function A has a slope of -7a slope of 0a slope of 9no slope. The equation of line A is x = -5y = -5x = -2y = 7. Function B has a slope of -7a slope of 0a slope of 9no slope. The equation of line B is x = -5y = -5x = -2y = 7.
Answer:
5
Step-by-step explanation:
What is the solution to the equation −4(2y − 4) − 4y = 4? (put number answer only)
Answer:
y=1
Step-by-step explanation:
Let's solve your equation step by step.
Step 1: Simplify both sides of the equation.
−4(2y−4)−4y=4
(−4)(2y)+(−4)(−4)+−4y=4(Distribute)
−8y+16+−4y=4
(−8y+−4y)+(16)=4(Combine Like Terms)
−12y+16=4
−12y+16=4
Step 2: Subtract 16 from both sides.
−12y+16−16=4−16
−12y=−12
Step 3: Divide both sides by -12.
y=1
help pls :) it’s due in a few mins
The Richter scale magnitude reading m is given by m=log10x , where x represents the amplitude of the seismic wave causing ground motion. Determine the reading of an earthquake that is 10 times less intense than an earthquake that measures 4.5 on the Richter scale.
Answer: The reading would be 5.5 on the Richter scale.
Step-by-step explanation:
The intensity of an earthquake that measures 4.5 on the Ritcher scale can be found by solving:
4.5 = log₁₀(x)
for x.
remember that:
logₐ(x) = ln(x)/ln(a)
Then we can rewrite our equation as:
4.5 = ln(x)/ln(10)
4.5*ln(10) = ln(x)
we also know that:
ln(exp(x)) = exp(ln(x)) = x
Then we can apply the exponential equation to both sides to get:
exp( 4.5*ln(10)) = exp( ln(x) ) = x
exp( 4.5*ln(10)) = x
x = 31,622.8
Now, if we have an intensity 10 times larger than this, we will have:
x = 10*31,622.8 = 316,228
The reading on the Richter scale will be:
m = Log₁₀(316,228) = 5.5
Corey spent $17.00, inculding sales tax, on 2 sanwiches cost $5.25 each and the total sales tax was $0.92. What was the cost of each drink.
Answer:
Well to start you already know the sandwich cost 5.25 and the total sales tax .92.
To find the cost of each drink
5.25 x 2= 10.50
10.50+.92=11.42
17.00-11.42= 5.58
5.58/3= 1.86
So the cost per Drink is $1.86
Step-by-step explanation:
Hope this helped!
3. In ΔABC, AB = 5 inches and BC = 3 inches. Which of the choices represents all possible values for AC, in inches?
Answer:
2< AC<8
Step-by-step explanation:
For a triangle to exits sum of two sides must always be greater than the the third side
⇒ AC< AB+ BC =5+3=8 in
⇒AC<8 in
Also, the difference of the two sides must be smaller than the length of third side
⇒ AC> | AB-BC| = |5-3| =2
AC> 2 in
therefore, we can say 2< AC<8. Hence, AC can takes 3,4,5,6 values
will give brainliest to first correct answer
Answer:
A or C
Step-by-step explanation:
Antonio needs to convert 1.2 liters of milk to milliliters. How many milliliters are there in 1.2 liters of milk?
Answer: 1200 milliliters.
Step-by-step explanation: 1 liter has 100 milliliters of milk in it. So you have to multiply 1.2 by 100 to get 1200.
At Garland School, 3/5 of the 490 students are boys.
At Bowood School, 5/7 of the 945 students are girls.
Which school has the greater number of girls and by how many?
You must show your working.
Step-by-step explanation:
the bowood school by 455 kids
question 8 is in the pic
Answer:
A. The median score of Class A is greater than the median score of Class B.
Step-by-step explanation:
This is the only true statement.
Hope it helps!
Answer:
A the media score of the class A is greater than the media score of class B
Hey all pls help it is urgent
Answer:
Exact Form:
32/5
Decimal Form:
6.4
Mixed Number Form:
6 2/5
Step-by-step explanation:
your gonna wanna if possible cancel the common factors.
Pleasee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answer:
Now how did I get the translation rule (x + 1, y + 3). Well basically, I did this :-
-4 - (-5) = 1
12 - 9 = 3
Now let us plug it in the translation rule to see if I get (-4, 12).
(x + 1, y + 3)
(-5 + 1, 9 + 3)
(-4, 12)
I get the same answer given in the problem. Hope this helps, thank you !!
1. Write the equation that models the height of the roller coaster. Start by writing the equation of the circle. (Recall that the general form of a circle with the center at the origin is x2 + y2 = r2. (10 points) Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root. (10 points)
Answer:
a.)x² + y² = 900
b.)y = √900 - x²
Step-by-step explanation:
P.S - The exact equation is as follows :
As given,
The shape of the roller coaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of the roller coaster is 30 feet above the ground.
a.)
Equation of circle be x² + y² = r²
As given , leg of the roller coaster is 30 feet above the ground.
⇒ r = 30
⇒x² + y² = 30²
⇒x² + y² = 900
∴ we get
Equation of height of Roller coaster - x² + y² = 900
b.)
As we have, x² + y² = 900
⇒y² = 900 - x²
⇒y = √900 - x²
The equation that models the height of the roller coaster is [tex]y = \sqrt{900 -x^2[/tex]
The general equation of a circle is:
[tex]x^2 + y^2 = r^2[/tex]
From the complete question, the radius of the circle is 30 units.
This means that:
r = 30
So, we have:
[tex]x^2 + y^2 = 30^2[/tex]
Express 30^2 as 900
[tex]x^2 + y^2 = 900[/tex]
Subtract x^2 from both sides
[tex]y^2 = 900 -x^2[/tex]
Take square roots of both sides
[tex]y = \pm \sqrt{900 -x^2[/tex]
Remove the negative root
This is so because the roller coaster is above the ground, and the height will be positive.
So, we have:
[tex]y = \sqrt{900 -x^2[/tex]
Hence, the required equation is [tex]y = \sqrt{900 -x^2[/tex]
Read more about equations of circle at:
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Write an expression to find the perimeter of
the rectangle below:
Answer:
2(3x-4+2x)
Step-by-step explanation:
Answer:
2(3x-4)+2(2x)
=6x-8+4x
=10x-8
Step-by-step explanation:
not sure if correct tho
which graph models the solution of the Inequality -6 ≤ -3x
We know that graph (B) models the solution of the given inequality -6 ≤ -3x.
What are graphs?Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) represents the function.Line graphs, bar graphs, pie charts, scatter plots, and histograms are examples of common graph types. Graphs are a fantastic tool for displaying statistics and visualizing data. To depict numerical data that is unrelated to one another, a bar graph or chart may be utilized.So, in the given inequality:
-6 ≤ -3xWe know that:
Make x subject: -6/-3 ≤ xWhich is 2 ≤ x, represented in a graph (B).Therefore, we know that graph (B) models the solution of the given inequality -6 ≤ -3x.
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can someone please help me!
Answer:
60
Step-by-step explanation:
Pls help pls thank you
Answer:
2 1/2 pounds
Step-by-step explanation:
Given g(x) = 3x + 14 , find x if g(x) = 20
Answer: x = 2
Step-by-step explanation: If g(x) = 3x + 14, and g(x) = 20 also, you first can set 3x+14 = 20. To find the value of x, you want to isolate the variable. You can subtract 14 from both sides to get 3x = 6. Finally, to find out the value of x, divide 3 from both sides. This leaves you with x = 2. You can check this by plugging two back into the original equation 3 times 2 = 6, and 6 plus 14 equals 20.
If y varies directly as x, and y =-4 when x=8, find y when x=3
Answer: Another way of looking at it!
y
=
10
Explanation:
This is a ratio question in disguise.
By parts of the question:
"When y varies directly with x"
→
y
x
"
"if y=8 when x=4"
→
.
.
y
x
=
8
4
"how do you find y when x=5"
→
y
x
=
8
4
=
y
5
so
y
=
8
×
5
4
=
10
This is the same thing as using 'k' in the other solution
Step-by-step explanation:
The sum of 1 and a number divided by 7 is 66
461+1=462
462÷7=66
Your answer is 461
Answer:
461
Step-by-step explanation:
Work backwards.
7 X 66=462
462-1=461
So 461 is the answer
You purchase a new shirt that cost $15.00. Sales tax is added at the register at a rate of 8%. How much sales tax will be added to the cost of the shirt when you pay for it.
Answer:
16.2 U.S. Dollars - I hope this helps! :D
Step-by-step explanation:
4x – y = 7 3y – 12x = –21
Answer:
y= 4x − 7 or 0=0
Step-by-step explanation:
4x−y+−4x=7+−4x
what is 18.75 rounded two decimals places
The answer would be 18.8
A lion's heart beats 6 times in 8 seconds. How many heartbeats will it have in 40 seconds?
Answer:
30 times
Step-by-step explanation
Answer:
30
Step-by-step explanation:
can yall do me a favor, i know this random but i got played by someone so can u spaam his ig, acc name is sturdyyyyy_ just spam his comments called him a cheater and tell him he weird. please. females help a person out.
Answer:
okkkkk
Step-by-step explanation:
Find the value of x. 4 х 25 10 X = = [?]
Answer:
X=10
Step-by-step explanation:
TOPIC: You and two friends have $20 to spend on snacks after school.
Explain how you would divide the money between the three of you.
Explain where you would go and what you would buy with your money.
The difference between 3/4 of a number (n) and 8 is 5/8 of the number. Wut is the number
Answer:
n = 64
Step-by-step explanation:
3/4n - 8 = 5/8n
-8 = 5/8n - 6/8n
-8 = -1/8n
-n = -64
n = 64
The unknown number is 64.
Important information:
The difference between [tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] and 8 is [tex]\dfrac{5}{8}[/tex] of the number.Linear Equation:[tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] is [tex]\dfrac{3}{4}n[/tex].
Difference between [tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] and 8 is [tex]\dfrac{3}{4}n-8[/tex].
[tex]\dfrac{5}{8}[/tex] of the number is [tex]\dfrac{5}{8}n[/tex].
Using the given information form a linear equation.
[tex]\dfrac{3}{4}n-8=\dfrac{5}{8}n[/tex]
Now, solve the equation.
[tex]\dfrac{3}{4}n-\dfrac{5}{8}n=8[/tex]
[tex]\dfrac{6n-5n}{8}=8[/tex]
[tex]\dfrac{n}{8}=8[/tex]
Multiply both sides by 8.
[tex]n=64[/tex]
Therefore, the unknown number is 64.
Find out more about 'Linear Equation' here:
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for the pairs below put each question in slope intercept form and whether the graphs of the line will be identical, parallel, or intersecting, Also determine how many solutions the system of equations will have
