Answer:
y = 3/5x + 5
Step-by-step explanation:
Slope-intercept form is y = mx + b where m is the slope (rise / run of the line) and b is y-intercept (y value of where the line intersects with the y-axis.
The line is rising up 3 and run to the right 5 and so it's slope is 3/5. The line intersects with the y-axis at a y value of 5 and so it's y-intercept is 5.
Therefore, your answer in slope-intercept form is y = 3/5x + 5.
A hotel currently has enough room to accommodate at most 200 guests per night. It plans to expand its capacity by 12 guests every year. To make a profit, the hotel must have at least 40 guests staying in the hotel. The hotel manager expects that threshold to increase by 10% every year.
The manager modeled this situation with a system of linear inequalities, where x is the time from today, in years, and y is the number of guests. Which ordered pairs represent viable solutions of this system?
Answer:
(20,280) and (10,300)
Step-by-step explanation:
It was the correct answer on the practice question
Answer:
Edmentum/Plato
Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $51,800?
Answer:
3.8 months
Step-by-step explanation:
Question: Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $51,800?
First step! What is 5.3% of 36k?
1,908
Second Step! Divide
51,800/1,908= 27.1488469602
Third Step! Round
27.1488469602= 27.1
27.1 weeks.
7 weeks in a month.
12 months in a year.
27.1/7= 3.8
3.8 months
The number of years for the amount of compound interest to reach $51,800 is given by b = 7 years
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the number years be represented as b
where the amount after b years is = $ 51,800
The initial principal amount P = $ 36,000
The number of times the compound interest is applied = quarterly = 4
Now , the equation is
A = P ( 1 + r/n )ⁿᵇ
On solving for the number of years b , we get
b = ln ( A / P ) / n [ ln ( 1 + r/n ) ]
b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln ( 1 + 0.053/4 ) ] )
On further simplification , we get
b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln (1 + 0.01325 ) ] )
b = 6.911 years
On rounding to the nearest year , we get
b = 7 years
Therefore , the value of b is 7 years
Hence , the number of years is 7 years
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Find y. Give your answer in
the simplest form.
y =
Enter the number that belongs in the green box.
Answer:
y = 8 root 2
Step-by-step explanation:
Since it is a 90-45-45 triangle, y is s root 2
s = 8
so, y = 8 root 2
Answer:
y=8√2
Step-by-step explanation:
Because 2 of the angles are the same, the triangle is isosceles (because of base angles theorem). Therefore, x=8. Using Pythagoras theorem, y=8√2.
can someone plz help with this? geometry:)
Answer:
One property of rectangles is that the diagonals of rectangles bisect each other, meaning 2 of JN is equal to JL.
We can form an equation off of this, 2(x+3) = 3x + 1 and then solve for x
2(x+3)= 3x + 1 First, distribute the 2 to each term in x+3,
the result should be:
2x + 6 = 3x+ 1 then subtract 2x from both sides
-2x -2x
the result should be :
6 = x + 1 subtract 1 from both sides
-1 -1
the result should be x=5
plug that into the equations and JN= 5+3, JL=15+1
The two correct options are
NM = 8 ( both of the diagonals are equal to eachother )
JL = 16
HELP!!
Which of the following statements is TRUE if angle 4 has a measure of 127°?
А
<1 = 53°
B
<2 = 53°
с
<3 = 127
D
<3 = 180°
HELP!!
Answer:
A
angle 1 + angle 4 is equal to 180
if angle 4 = 127, angle 1 must equal 53
Step-by-step explanation:
PLS I NEED HELP QUICKLY
Answer:
b + b + h + h and since you have two of each you can say 2b + 2h.
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3y - 40 = 9
Answer:
3y=49
Step-by-step explanation:
yeppp I'm pretty sure
33333333333333333333333333333
Answer: All three methods would be easy and effective
Step-by-step explanation:
What is the slope of the line?
Answer:
1
Step-by-step explanation:
Two ordered pairs that can be seen are (0,1) and (1,2)
Using delta y/ delta x,
(2-1)/(1-0) = slope
slope = 1/1
slope = 1
Answer:
slope = 1
Step-by-step explanation:
To find the slope of the line, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], in which [tex]m[/tex] represents the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, while the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point.
Thus, locate two points on the line. We can see that the line intersects (-1,0) and (0,1), thus we can use them for the formula. (Any other two points that are also on the line will also work.) Substitute their x and y values into the appropriate places in the formula and solve:
[tex]m = \frac{(1)-(0)}{(0)-(-1)}\\m = \frac{1-0}{0+1} \\m = \frac{1}{1} \\m = 1[/tex]
Thus, the slope is 1.
Find the volume: 5ft 5ft 8ft 3ft
Answer:
120ft
Step-by-step explanation:
8 x 3 x 5
h(1)= 9
h(n)=h(n−1)⋅(-3)
Find an explicit formula for h(n).
h(n)= ?
Given:
[tex]h(1)=9[/tex]
[tex]h(n)=h(n-1)\cdot (-3)[/tex]
To find:
The explicit formula for h(n).
Solution:
We have,
[tex]h(n)=h(n-1)\cdot (-3)[/tex] ...(i)
It is the recursive formula of a geometric sequence. It is of the form
[tex]a(n)=a(n-1)\cdot r[/tex] ...(ii)
where r is the common ratio.
On comparing (i) and (ii), we get
[tex]r=-3[/tex]
We have, [tex]h(1)=9[/tex] so the first term of the geometric sequence is [tex]a=9[/tex].
The explicit formula for a geometric sequence is:
[tex]h(n)=ar^{n-1}[/tex]
Substitute a=9 and r=-3 to get the explicit formula for the given sequence.
[tex]h(n)=9(-3)^{n-1}[/tex]
Therefore, the required explicit formula is [tex]h(n)=9(-3)^{n-1}[/tex].
What is the nth term of the sequence 1,4,9,16
Answer:
[tex]n^{2}[/tex]
Step-by-step explanation:
1, 4, 9, 16
1=[tex]1^{2}[/tex]
4=[tex]2^{2}[/tex]
9=[tex]3^{2}[/tex]
16=[tex]4^{2}[/tex]
so, the fifth term is [tex]5^{2}[/tex] = 25
hey guy i need help wit this ASAP
Answer:
15x^2+5x^3+9
Step-by-step explanation:
(7x^2+8x^2)+5x^3+9
15x^2+5x^3+9
solve this equation for y, y=x-4
Answer:
It’s already solved for y
y = x - 4
Step-by-step explanation:
If it’s for x, X = y + 4
What is geometrical mathematical system?
Please help me with this 4.7 x 10^-1
as an ordinary number
Answer:
The answer is 0.47
Msmsmsmaka
Answer:
0.47
Step-by-step explanation:
47/100
hope it helps thank you
Find the measure of Angle A in the image below:
142°
А
Answer:
38
Step-by-step explanation:
180-42
Answer:
38
Step-by-step explanation:
A + 142 = 180 {Linear pair}
A = 180 - 142
A = 38
Plsss help guys
Ill give brainly points to who ever answers this question plsss
24-4x=2x
show your work, will mark brainliest
Answer:
x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
24−4x=2x
24+−4x=2x
−4x+24=2x
Step 2: Subtract 2x from both sides.
−4x+24−2x=2x−2x
−6x+24=0
Step 3: Subtract 24 from both sides.
−6x+24−24=0−24
−6x=−24
Step 4: Divide both sides by -6.
−6x /−6 = −24 /−6
x=4
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the linear equations.
==> 24-4x=2x
==> 24 = 2x+4x
==> 24 = 6x
===> x = 24/6
===> x = 4
URGENT!!!!
Find Perimeter of the square with the side 15 in.
Use formula P=4s
100 in
60 in
225 in
30 in
Answer:
It's 60 in
Step-by-step explanation:
P = 4s
P = 4 x 15
P = 60 in
A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle.
True or false??
Given:
The given statement is "A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle."
To find:
Whether the given statement in true or false.
Solution:
Area of circle is
[tex]A=\pi r^2[/tex]
Where, r is the radius of the circle.
Let [tex]r_1[/tex] be the radius of the original circle. So, the area of the circle is
[tex]A_1=\pi (r_1)^2[/tex]
The circle is dilated by a scale factor of 1.5 to create a new circle. So, the radius of the new circle is:
[tex]r_2=1.5r_1[/tex]
The area of the new circle is
[tex]A_2=\pi (r_2)^2[/tex]
[tex]A_2=\pi (1.5r_1)^2[/tex]
[tex]A_2=2.25\pi (r_1)^2[/tex]
[tex]A_2=2.25A_1[/tex]
The area of the new circle is 2.25 times the area of the original circle.
Therefore, the given statement is false.
heelllpppppp plzzzzzzz
Answer:
-2x-6
Step-by-step explanation:
Distribute -2x -2(3) = -2x-6
you save $15 per week to purchase a bike that costs $120. write and solve an inequality to find the number of weeks you need to save to purchase the bike.
Answer:
Must save 8 weeks or more to purchase the bike.
Step-by-step explanation:15*w >= 120 where W is the number of weeks.
w >= 120/15 = 8
You need to save $15 every week for the next 8 weeks in order to purchase the bike.
What is inequality in mathematics?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given is that you save $15 per week to purchase a bike that costs $120.
Assume that you need [w] weeks to save $120 for the bike.
Amount earned per week [A] = $15
Amount earned in [w] weeks [W] = $15w
Money needed [R] = $120
The inequality can be written as -
[W] ≥ [R]
We can write it as -
15w ≥ 120
Solving the inequality, we get -
15w/15 ≥ 120/15
w ≥ 8
Therefore, you need to save $15 every week for the next 8 weeks in order to purchase the bike.
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Find the volume. Round your answer to the nearest tenth and show your work
Please help immediately! thanks
Answer:
pretty sure its 9 : 4
Step-by-step explanation:
Answer:
9:4
Step-by-step explanation:
"to" :
Simplify the expression 8(5+w
Answer:
40+8w=0
8w=-40
w=-40/8
w=-5
Derek earns $ 4800 in 3 months. what is his annual income
Answer: Annual Income Is $192000
Step-by-step explanation:
firstly know one month income we divide by 48000 by 3
= 16000
we know one month income 16000
than we for know annual income we multiply by 12
16000×12 =192000
annual income is $192000
If Jessica split 75 pencils between 8 people in her class and kept the leftovers, how many pencils did each classmate get?
Answer: Each classmate got 9 pencils
Step-by-step explanation: if you divide 8 from 75, you get 9 pencils for each classmate and 3 for Jessica to keep.
[tex]3x-2y=222x+5y=2[/tex]
A cylindrical soup can has a radius of 1.8 in. and is 6.7 in. tall. Find the volume of the can.
Volume = base area x tall
base area = π x (1.8in)²
base area = 10.179 in²
Volume = 10.179 in² x 6.7 in
Volume = 68.198 in³
Answerthe volume is 68.198 in³