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2 years ago

15

Determine the number of months for which the total cost of the systems will be equal. Estimate your answer to the nearest whole

number.

1 answer:

Yuki888 [10]2 years ago

8 0

Answer:

Answer is 351/20 or 17.5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

35x+99=15x+450

Step 2: Subtract 15x from both sides.

35x+99−15x=15x+450−15x

20x+99=450

Step 3: Subtract 99 from both sides.

20x+99−99=450−99

20x=351

Step 4: Divide both sides by 20

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How do I simplify this

Mama L [17]

Answer:

just divide. 729/3 = 243

4 0

3 years ago

Read 2 more answers

A restaurant operator in Accra has found out that during the lockdown,if she sells a plate of her food for Ghc 20 each,she can s

ella [17]

The demand equation illustrates the price of an item and how it relates to the demand of the item.

The slope of the demand function is -1/2
The equation of the demand function is: $R(x) = (300 - 10x) \times (20 + 5x)$
The price that maximizes her revenue is: Ghc 85

From the question, we have:

$Plates = 300$

$Price = 20$

The number of plates (x) decreases by 10, while the price (y) increases by 5. The table of value is:

$\begin{array}{cccccc}x & {300} & {290} & {280} & {270} & {260} \ \\ y & {20} & {25} & {30} & {35} & {40} \ \end{array}$

The slope (m) is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

So, we have:

$m = \frac{25-20}{290-300}$

$m = \frac{5}{-10}$

$m = -\frac{1}{2}$

The equation of the demand is as follows:

The initial number of plates (300) decreases by 10 is represented as: (300 - 10x).

Similarly, the initial price (20) increases by 5 is represented as: (20 + 5x).

So, the demand equation is:

$R(x) = (300 - 10x) \times (20 + 5x)$

Open the brackets to calculate the maximum revenue

$R(x) =6000 + 1500x - 200x - 50x^2$

$R(x) =6000 + 1300x - 50x^2$

Equate to 0

$6000 + 1300x - 50x^2 =0$

Differentiate with respect to x

$1300 - 100x =0$

Collect like terms

$100x =1300$

Divide by 100

$x =13$

So, the price at maximum revenue is:

$Price= 20 + 5x$

$Price= 20 + 5 * 13$

$Price= 85$

In conclusion:

The slope of the demand function is -1/2
The equation of the demand function is: $R(x) = (300 - 10x) \times (20 + 5x)$
The price that maximizes her revenue is: Ghc 85

Read more about demand equations at:

brainly.com/question/21586143

3 0

3 years ago

The length of each leg of an isosceles right triangle is 4 cm. What is the length of the hypotenuse

miss Akunina [59]

<u>Answer:</u>

5.65 cm

<u>Step-by-step explanation:</u>

We are given that the length of each leg of an isosceles right triangle is 4 cm and we are to find the length of the hypotenuse.

For this, we will use the Pythagoras Theorem:

$a ^ 2 = b ^ 2 + c ^ 2$

where $a$ is the hypotenuse.

$a ^ 2 = 4 ^ 2 + 4 ^ 2$

$\sqrt { a ^ 2} = \sqrt { 3 2 }$

$a = 5 . 6 5$

Therefore, the length of the hypotenuse is 5.65 cm.

5 0

3 years ago

Read 2 more answers

Please I need this ASAP will give you the Brainiest answer.

k0ka [10]

Answer:

D

Step-by-step explanation:

5 0

2 years ago

Lowest denominator 1/15 9/5 3/8

Stels [109]

<span>LCD(<span>115</span>, <span>95</span>, <span>38</span>) = LCM(15, 5, 8) = 23×3×5 = 120</span>
<span><span>115</span> = <span>8120</span></span><span><span>95</span> = <span>216120</span></span><span><span>38</span> = <span>45120
</span></span>

3 0

3 years ago

Read 2 more answers