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3 years ago

10

Write an algebraic expression for the perimeter of a rectangular garden with a width of 3 metres and a length of 2y metres. Simp

lify your expression, and determine the perimeter of the garden if y = 6.

1 answer:

anyanavicka [17]3 years ago

5 0

Answer:

P = 2(2y+3)

P = 30

Step-by-step explanation:

P = 2 (L+W) or P = L + L + W + W

P = 2 (2y+3)

P = 4y+6

Plug in 6 for y.

P = 24+6

P = 30

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Which exponential function models how much a $52,500 car depreciates at 9%

hram777 [196]

Answer:

y = 52500(.91)^x

Step-by-step explanation:

Exponential functions are written y = ab^x where a is the starting point and b is the common ratio. We know the initial worth is 52500 and each year the worth decreases 9% of the original year, making it work 91% of the previous value.

3 0

3 years ago

A salesperson receives a 3% commission on sales. The salesperson receives $180 in commission. What is the amount of sales?

erastova [34]

Let sales be x
<span>.03x = 180 </span>
<span>divide both sides by .03 </span>
<span>x = 180/.03 = 6000</span>

6 0

3 years ago

A concession stand at an athletic event is trying to determine how much to sell cola and iced tea for in order to maximize reven

Cerrena [4.2K]

Solution :

Demand for cola : 100 – 34x + 5y

Demand for cola : 50 + 3x – 16y

Therefore, total revenue :

x(100 – 34x + 5y) + y(50 + 3x – 16y)

R(x,y) = $100x-34x^2+5xy+50y+3xy-16y^2$

$R(x,y) = 100x-34x^2+8xy+50y-16y^2$

In order to maximize the revenue, set

$R_x=0, \ \ \ R_y=0$

$R_x=\frac{dR }{dx} = 100-68x+8y$

$R_x=0$

$68x-8y=100$ .............(i)

$R_y=\frac{dR }{dx} = 50-32x+8y$

$R_y=0$

$8x-32y=-50$ .............(ii)

Solving (i) and (ii),

4 x (i) ⇒ 272x - 32y = 400

(ii) ⇒ (-<u>) 8x - 32y = -50 </u>

264x = 450

∴ $x=\frac{450}{264}=\frac{75}{44}$

$y=\frac{175}{88}$

So, x ≈ $ 1.70 and y = $ 1.99

R(1.70, 1.99) = $ 134.94

Thus, 1.70 dollars per cola

1.99 dollars per iced ted to maximize the revenue.

Maximum revenue = $ 134.94

4 0

3 years ago

Numbers that come one after the other are called consecutive numbers.

KonstantinChe [14]

Answer:

A

Step-by-step explanation:

Here, we want to get the number that will be in the units place

Six consecutive numbers from 33 are;

33 , 34 , 35 , 36 , 37 , 38 ,

Product of 5 and any of the even numbers will yield 0

That means the number on the unit place is 0

3 0

3 years ago

A line has a slope of 5/6 and y-intercept of -3. Which equation is the equation of the line?

masha68 [24]

Y=mx+b
m=slope
b=yint

slope=5/6
ying=-3
equation is y=5/6x-3

6 0

3 years ago