Answer:
$1200
Step-by-step explanation:
Let the roof be square shaped
Area of the roof = L²
L is the side length of the roof
Given
L = 40ft
Area of the roof = 40²
Area of the roof = 1600ft²
If plants used for a green roof cost $0.75 per square foot, this means
1 ft² = $0.75
Let the cost needed to cover both sides of the roof be y, hence;
1600ft² = y
Divide both expressions
1/1600 = 0.75/y
y × 1 = 0.75×1600.
y = 0.75×1600
y = 1200
Hence it will cost $1200 to cover both sides of the roof
Mia deposited $2,500 in an account that earned simple interest annually. She did not make additional deposits; she did not make withdrawals.
At the end of 6 years, the balance was $3,025. What is the interest rate on this account?
The interest rate on Mia's account is 20.17%.
What is the simple interest?The borrowing amount is just the principal amount multiplied by the simple interest rate.
Given, Mia deposited $2,500 in an account that earned simple interest annually. She did not make additional deposits; she did not make withdrawals.
The formula to calculate the simple interest is;
S.I. = P x T x R / 100 ,
Where S.I. is simple interest , P is principal amount, T is time period and R is interest rate in a year.
We have, P = $2500 T = 6 years, S.I. = $3025
Substituting all the values in the formula;
3025 = 2500 x 6 x R / 100
R = 3025 x 100 / 15000
R = 20.17%
Therefore, the interest rate is 20.17%.
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-2.75 + 8.25 shown work pls
Answer:
5.5
Step-by-step explanation:
Fisrst I would rearange the equation to read 8.25 -2.75 from there you would just subtract as normally.
4. Isaiah wants to save up money to buy new Nikes. He already has $40 in
the bank. He works a night job for $7.50 an hour. Write an equation that
represents how much money Isaiah will have in the bank, m, based on the
number of hours he works, h. *
Your answer
!
This is a required question
Answer:
£976
Step-by-step explanation:
Evaluate the following expression. Round to the nearest hundredth when necessary.
27
Answer:
27?
Step-by-step explanation:
27 is a whole number you know
Q6. Solve
4x + 3y = 5
2x + 3y = 1
Your answer
What does x equal and what does y equal
Answer:
(2,-1)
x=2
y=-1
Step-by-step explanation:
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]
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In the following figure, the value of x is...
Answer:
8.3
Step-by-step explanation:
negative 24 divided 15
Answer:
-1.6
Step-by-step explanation:
Karem drives his car and 96 miles in 1 1/2 hours of karem continues to drive at this rate how many miles will you travel in 2 1/2 hours?
Answer:you have to find how much hrs are together the multiply by 2 and dived really i just need points
Step-by-step explanation:
factor completely 2x^2+10x+12
Answer:2(x+2)(x+3)
Step-by-step explanation:
First we have to take out the 2 in the equation
2(x^2+5x +6)
Then we can factor that
2(x+2)(x+3)
Simplify the expression -2 (x + 4 + 5y).
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
2-10n more math homework :|
Step-by-step explanation:
Yea we need more information.
The point (12.-5) is
how many units away from the origin
Answer: it 13 units
Let M (-12, 5) be the given point and O (0, 0) be the origin. = 13 units.
Step-by-step explanation:
hope this helps have a nice night ❤️❤️❤️❤️
Question 1:
Calculate the mean, median, mode
from the following data.
85,96,76,108,85,80,100,85,70,95
Answer:
Mean=88
Median=85
Mode=85
Find the quotient and remainder when the first polynomial is divided by the second 3x⁴+16x³+6x²-2x-13; x+5
Answer:
Quotient : 3x³ + x² + x + 3
Step-by-step explanation:
Give the polynomial :
Dividend : 3x⁴+16x³+6x²-2x-13;
Divisor : x+5
Kindly check attached picture for detailed explanation.
Factorise.
5a - 25a^3
Factor each expression using the greatest common factor. 8x - 28; 12x + 15
Answer:
Step-by-step explanation:
8x -28 = 4(x - 28)
12x + 15 = 3(4x + 5)
Find the measure of the indicated angle will give brainliest
Answer:
it should be 40º but it doesn't look like that's an option...
Step-by-step explanation:
so we know that the inside of a triangle is equal to 180º and for the triangle on the right we already have two angles. so we can add the angles (41 + 72 = 113) and then subtract that from 180 to find the missing angle.
180 - 113 = 67º
now we also know that vertical angles are congruent/the same. so the vertice that is connecting the two triangles is also 67º. we can do the same thing we did with the other triangle, add the angles up and subtract from 180.
67 + 73 = 140
180 - 140 = 40º
we know this is true because when you add all the angles up it equals 180.
67 + 73 = 140 + 40 = 180
44 would put it at 184º which is not correct, and 150 would put it at 290ª which is also not correct...
Solve the system by substitution.
y = -6x
y = -4x + 4
Answer:
x=-2 y =12
Step-by-step explanation:
Eliminate the equal sides of each equation and combine.
−6x=−4x+4
Solve
−6x=−4x+4
x=−2
y= 12
The solution to the system is the complete set of ordered pairs that are valid solutions.
(−2,12)
The result can be shown in multiple forms.
Point Form:
(−2,12)
Equation Form:
x=−2,y=12
7. Which equation is graphed below?
A. y = x + 1
B. y = |x|
C. y = [x]+1
D. y =[x]
I need this done! Decent amount of points! And chance of Boeing marked brainleist! O:
Answer:63
Step-by-step explanation:
I know this its 63
Answer:
Step-by-step explanation:
a) 21 divided by 3 = 7
answer = 7
b)21+21=42
answer = 2
c) 7+6 = 13
answer = 7
d) I don't know or it could be -8-8= -16 (I am not sure)
e) 3 x 30= 90
answer= 90
f)-7-6 = -13
answer= -13
Name all the sets of numbers to which each real number belongs. Check all that apply. 4/7
Answer:
What are you talking about .
Step-by-step explanation:
Evaluate each expression for the given value(s) of the variable(s). 5(9 + d) − 6 when d = 3
what is the midpoint of AB?
Answer:
(-4,-0.5)
Step-by-step explanation:
Which system of inequalities has no solution?
A. y < 2x − 44
y > 2x + 1
B. 2x + y ≥ 3
y ≥ −2x − 3
C. 4x + 4y < 16
x > y + 16
D. y < −6x −24
y < 6x + 6
Answer:
My answer is letter d
Step-by-step explanation:
Sorry when im wrong
Answer:
B
Step-by-step explanation:
GRRRHRGR H.C DGDVFVDVECDEC
Pls hurry !
What is the graph of the equation?
X=-3
Answer:
b
Step-by-step explanation:
pls help <3 i mean i’m sure it’s easy but i don’t know what to write.
list five rational numbers between -1 and 0
If y varies directly as x, and y =6 when x =10, find x when y=18
Answer:
X=30
Step-by-step explanation:
y=kx
6=10k
k=0.6
y=0.6x
18=0.6x
X=18/0.6
x=30
The value of x when y = 18 is 30.
What is Direct Variation?Direct variations are defined as the functions of the form y = kx, where k is a constant.
Here when y increases, x increases and if y decreases, x also decreases.
Given that y varies directly as x.
That is the equation relating y and x can be written as,
y = kx, for some constant k.
Given that,
When x = 10, the value of y = 6.
Substitute in the equation.
6 = 10k
k = 6/10 = 3/5
Now we have to calculate the value of x when y = 18.
Substitute the found values and given values in the equation.
18 = (3/5) x
x = (18 × 5) / 3
x = 30
Hence the value of x is 30 when y = 18.
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what is 3 times 4 time 20
240 is the answer
Step-by-step explanation:
3x4=12
12x20=240