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liubo4ka [24]
3 years ago
6

Identify the type of function represented by... please help

Mathematics
1 answer:
Vladimir [108]3 years ago
3 0

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.

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If you need $3,000 four years from now, how much would you need to deposit into an account that earns 5% interest, compounded an
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Answer:

2468.11 dollars

Step-by-step explanation:

Amount that should be available after four years =3000 $

Interest rate = 5%

No of years =4

Let P be the principal invested

Then 3000=P(1+0.05)^4\\P=3000(1.05)^{-4} \\=2468.11

Hence 2468.11 dollars should be deposited to get 3000 dollars after 4 years at 5% interest.

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2 years ago
An electrical heating element produces heat depending on the resistance of the element and the current passed through it. The he
vredina [299]
The heat produced by current I is
H = I²R
where
R =  resistance.
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When a current of I = 2 amps is applied, the heat produced is 
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This heat includes heat due to a fixed current of 2 amps, and heat due to a variable current of x amps.

Because the heat produced is proportional to the square of the current, write the expressions as
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The first term represents heat due to variable resistance, written as
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6 0
3 years ago
Suppose that you currently own a clothes dryer that costs $35 per month to operate. A new efficient dryer costs $750 and has an
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Answer:

Step-by-step explanation:

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8 0
3 years ago
Leyan bought 234 pounds of apples for $1.32 per pound, 112 pounds of peaches for $1.20 per pound, and some tomatoes, all from a
velikii [3]

Answer: See explanation

Step-by-step explanation:

I think your question isn't well written and that 234 was meant to be 2.34 and 112 was meant to be 1.12

Let the amount spent on tomatoes be x.

The information given in the question can then be used to form an equation as thus:

Apples + Peaches + Tomatoes = $9.63

(2.34 × $1.32) + (1.12 × $1.20) + x = $9.63

$3.0888 + $1.344 + x = $9.63

x = $9.63 - ($3.0888 + $1.344)

x = $9.63 - $4.4328

x = $5.1972

The amount spent on tomatoes will be $5.1972

8 0
2 years ago
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