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Elan Coil [88]
3 years ago
15

A television manufacturer decides to increase its production by 25% per month to meet increasing customer demand. The company cu

rrently produces 2,000 television sets a month.
Which of the following graphs shows the total number of television sets, y, manufactured by the company in x months?

Mathematics
1 answer:
Inessa [10]3 years ago
7 0

Answer:

The last graph

Step-by-step explanation:

The problem presented here is similar to a compound interest problem since we have an initial value, a growth constant and the aspect of time.

We can consider the number of television sets currently produced by the company to be our Principal amount;

P = 2000

The rate of increase in production per month can be considered as our interest rate earned;

r = 25% = 0.25

The total number of television sets y will be our Accumulated amount;

A = y

The duration x becomes our time n.

The compound interest formula is given as;

A=P(1+r)^{n}

We simply substitute the given information into the formula;

y=2000(1.25)^{x}

This is an exponential growth function since the base of the exponent x is greater than 1.

A graph of the function will be an exponential curve passing through ( 0, 2000) since 2000 is our initial value

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What is an equation of the line that passing through the points (-2, -5) and (4, 7) ?
monitta

Answer:

y=2x-1

Step-by-step explanation:

Use the slope-intercept formula: y=mx+b where m is slope and b the y-intercept.

(-2,-5)(4,7)

Use the slope formula for when you have two points:

\frac{y(2)-y(1)}{x(2)-x(1)}=\frac{rise}{run}

Rise over run is the change in the y-axis over the change in the x-axis. Insert values:

\frac{7-(-5)}{4-(-2)}

Simplify parentheses (negative+negative=positive)

\frac{7+5}{4+2}

Simplify

\frac{12}{6}=2

2 is the slope:

y=2x+b

Now use one of the points to find the y-intercept by substituting the x and y values into the equation. Solve for b:

(4,7)

y=2x+b\\7=2(4)+b

7=8+b\\7-8=8-8+b\\7-8=b\\-1=b\\b=-1

The y-intercept is -1. Insert into the equation. Change the + symbol to -:

y=2x-1

Done.

6 0
3 years ago
15+0= 15
Ksju [112]

First of all, let's take a look on the question.

\large{15 + 0 = 15}

Here, 0 is added to 15 and the resultant is 15 only. So, we can say that 0 when added with any number gives the same number as the resultant.

So, the property is known as <u>Identi</u><u>ty</u> property because 0 is added to get the identity of the same number.

<u>The Correct Option:</u>

\large{ \boxed{ \red{ \bf{Option \: C}}}}

So, let's know more...

  • Commutative property ➝ a + b = b + a
  • Associative property ➝ a + (b + c) = (a + b) + c
  • Distributive property ➝ a(b + c) = ab + ac

So this is the general form of these properties which is general observed in the rational numbers.

<u>━━━━━━━━━━━━━━━━━━━━</u>

5 0
3 years ago
A ball is launched into the air from a height of 12 feet at time t = 0. The function that models this situation is h(t) = -2t2 +
marshall27 [118]

Answer:

Step-by-step explanation:

50

6 0
3 years ago
Read 2 more answers
A paved walkway around a garden has an outer diameter of 80 ft and an inner diameter of 40 ft. A diagram is shown below.
k0ka [10]

Given:

  • Outer diameter = D = 80 ft
  • Inner diameter = d = 40 ft

So,

Outer radius = R = D/2

=> R = (80 ft)/2

=> R = 40 ft

Inner radius = r = d/2

=> r = (40 ft)/2

=> r = 20 ft

Area of paved pathway = πR² - πr²

= π(R² - r²)

= π(R + r)(R - r)

= π(40 + 20)(40 - 20) ft²

= π(60)(20) ft²

= 3.14 * 1200 ft²

= 3768 ft²

6 0
2 years ago
Jahari is making hamburgers for eight party guests. When Jahari weighs all of the hamburger meat, it weighs 5 pounds 8 ounces. J
USPshnik [31]

Answer:

11 oz

Step-by-step explanation:

11 ounces for each hamburger patty

explanation:

1 pound(lbs) = 16 ounces(oz)

Convert 5lbs into ounces

5x16 = 80oz

80 + 8 = 88 Add all the ounces together

/8 = Divide by 8 people

11oz each

6 0
3 years ago
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