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DIA [1.3K]
3 years ago
9

Todd wants to buy a new video game for $43.31. He has $55.50. The sales tax is 8.5% of the total purchase. Does Todd have enough

money to purchase the game?
Mathematics
1 answer:
sammy [17]3 years ago
7 0

Answer:

  yes

Step-by-step explanation:

We can estimate* that the total price including tax of the game will be less than ...

  $43.31 +10% of 43.31 = $43.31 +4.33 = $47.61

Todd easily has enough to pay for the game, including tax.

_____

You can work this more exactly a couple of ways.

  1. Price + tax = 1.085×$43.31 = $46.99 . . . less than Todd's budget

  2. Most Todd can afford: $55.50/1.085 = $51.15 . . . more than the game price

_____

* For estimating purposes, we like to use numbers that are easy to compute with. 10% is one such number, as it only requires moving the decimal point.

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Answer:

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Step-by-step explanation:

7m^2 + 10m + 3

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Answer:

A.)

Step-by-step explanation:

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(a) Use a linear approximation to estimate f(0.9) and f(1.1). f(0.9) ≈ f(1.1) ≈ (b) Are your estimates in part (a) too large or
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Answer:

(Missing part of the question is attached)

L(x)=2x+3

Estimates are too large.

Step-by-step explanation:

Suppose the only information we know about the function is:

f(1)=5

where the graph of its derivative is shown in the attachment

<h3>(a)</h3>

If the function f\\ is differentiable at point x=1 , the tangent line to the graph of f at 1 is given by the equation:

y=f(1) +f'(1)(x-1)

So we call the linear function:

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<h3>(b)</h3>

At x=1,  f'(x) is positive but it is decreasing. However. if we draw the tangent lines, we see that the tangent lines are becoming less steeper, so the tangent lines lie above the curve f. Thus, The estimates are too large.

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