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Alex787 [66]
3 years ago
9

Use the similar shape concept of geometry to find the missing value (x). Round your answer to the nearest tenth if necessary.

Mathematics
1 answer:
trapecia [35]3 years ago
7 0

Step-by-step explanation:

7:3

4:x

-cross multiply

7x = 12

x = 12÷7

x = 1.7

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Which graph represents the function f(x)= 0.2^x + 3
Dennis_Churaev [7]

The third graph or bottom left graph represents f(x) = 0.2^{x} + 3.

Step-by-step explanation:

Step 1:

To determine which of the given graphs represents the equation f(x) = 0.2^{x} + 3, we substitute some values in the place of x.

When x=0, f(x) = 0.2^{x} + 3, f(0) = 0.2^{0} + 3= 4.

Anything with an exponent of 0 will equal 1.

So the graphs on the right side cannot be the answers.

Step 2:

Now we substitute another value to determine which graph represents f(x) = 0.2^{x} + 3.

When x=1, f(x) = 0.2^{x} + 3, f(1) = 0.2^{1} + 3= 4.2.

The value of f(x) when x=1 is lesser than the value of f(x) when x =0.

So the third graph or bottom left graph represents f(x) = 0.2^{x} + 3.

5 0
3 years ago
Fixed costs are $3,000, variable costs are $5 per unit. The company will manufacture 100 units and chart a 50% markup. Using the
dmitriy555 [2]

Answer:

1. Using the cost-plus pricing method, the selling price = $5.25

2. The change in selling price from 2018 to 2019 is $3.69 or 33.5% reduction.

3. To break-even, unit sales = 4,000 units

To realize a target return of $200,000, the unit sales = 5,600 units

4. Units to break-even = 12,500 meals

Sales revenue at break-even point = $125,000

Step-by-step explanation:

a) Data and Calculations:

Fixed costs = $3,000

Variable costs per unit = $5

Units manufactured = 100 units

Total variable costs = $500 ($5 * 100)

Total costs = $3,500 ($500 + $3,000)

Cost per unit = $3.50

Markup percentage = 50%

Using the cost-plus pricing method, the selling price = $5.25 ($3.50 * 1.5)

b) Fixed costs per year = $150,000

Variable costs per unit = $3

Production units = 30,000

Total variable costs = $90,000 ($3 * 30,000)

Cost-based pricing with a profit margin = $3 per unit

Total costs = $240,000 ($90,000 + $150,000)

Cost per unit = $8 ($240,000/30,000)

Selling price per unit = $11 ($8 + $3)

Variable cost = $2 per unit

Production units = 65,000 units

Total costs = ($2 * 65,000 + $150,000)

= $280,000 ($130,000 + $150,000)

Unit cost = $4.31 ($280,000/65,000)

Selling price = $7.31 ($4.31 + $3)

Change in selling = $3.69 ($11 = $7.31) = 33.5%

c) Fixed costs = $500,000

Per unit costs = $75

Proposed price = $200

Contribution margin per unit = $125 ($200 - $75)

To break-even, unit sales = $500,000/$125 = 4,000 units

To realize a target return of $200,000, the unit sales = $700,000/$125 = 5,600 units

d) Kitchen and related equipment costs = $100,000

Other fixed costs per year = $50,000

Variable costs = $6 per platter

Price per meal = $10

Contribution margin per meal = $4 ($10 - $6)

Units to break-even = $50,000/$4 = 12,500 meals

Sales revenue at break-even point = $50,000/40% = $125,000

5 0
3 years ago
Angel bought 8 oranges and 11 apples for a total of $15.22.He knows that each orange cost $0.50 and reasoned that each Apple mus
Schach [20]
Oranges = x
apples = y

8x + 11y = 15.22
x = 0.50

8(0.50) + 11y = 15.22
4 + 11y = 15.22
11y = 15.22 - 4
11y = 11.22
y = 11.22/11
y = 1.02 <== cost of each apple
3 0
3 years ago
Read 2 more answers
a large container holds 5 gallons of water. it begins leaking at a constant rate. after 15 minutes, the container has 2 gallons
Scrat [10]

Answer:

1 gallon ever 5 minutes here is the fraction form if you need it for a graph 3/15 or 1/5

Step-by-step explanation:

if there is 3 gallons gone and it is constant then on gallon goes every 5 minutes 15/3=5

8 0
3 years ago
Identify the type of function represented by... please help
Vladimir [108]

Answer:

Exponential decay.

Step-by-step explanation:

You can use a graphing utility to check this pretty quickly, but you can also look at the equation and get the answer. Since the function has a variable in the exponent, it definitely won't be a linear equation. Quadratic equations are ones of the form ax^2 + bx + c, and your function doesn't look like that, so already you've ruled out two answers.

From the start, since we have a variable in the exponent, we can recognize that it's exponential. Figuring out growth or decay is a little more complicated. Having a negative sign out front can flip the graph; having a negative sign in the exponent flips the graph, too. In your case, you have no negatives; just 2(1/2)^x. What you need to note here, and you could use a few test points to check, is that as x gets bigger, (1/2) will get smaller and smaller. Think about it. When x = 0, 2(1/2)^0 simplifies to just 2. When x = 1, 2(1/2)^1 simplifies to 1. Already, we can tell that this graph is declining, but if you want to make sure, try a really big value for x, like 100. 2(1/2)^100 is a value very very very veeery close to 0. Therefore, you can tell that as the exponent gets larger, the value of the function goes down and gets closer and closer to zero. This means that it can't be exponential growth. In the case of exponential growth, as the exponent gets bigger, your output should increase, too.

3 0
3 years ago
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