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djverab [1.8K]
11 months ago
15

Perform the calculation then

Mathematics
2 answers:
Andru [333]11 months ago
5 0

Answer:

416 (3 s.f.)

Step-by-step explanation:

To multiply decimals, begin by multiplying the numbers as if there is <u>no decimal</u>:

\large\begin{array}{cccccc}&& 1 & 2 & 8 & 5\\\times && & 3 &2 & 4\\\cline{1-6} && 5 & 1 & 4 & 0\\&2&5&7&0&0\\3&8&5&5&0&0\\\cline{1-6}4&1&6&3&4&0\\\cline{1-6}^1&^1&^1&&\phantom{^{\frac{1}{2}}}&\end{array}

Count the number of digits <u>after</u> the decimal point in each factor:

  • 128.5 → 1 digit after the decimal point.
  • 3.24 → 2 digits after the decimal point.

Therefore, there is a total of 3 digits after the decimal points.

Put the same number of digits after the decimal point in the product.

Therefore, the solution is to the multiplication is:

  • 416.340

The factor with the <u>fewest signification figures</u> is 3.24.

This number has 3 significant figures.

Therefore, the solution to 3 significant figures is:

  • 416 (3 s.f.)
Sladkaya [172]11 months ago
3 0

Answer: 416.34

Step-by-step explanation:

128.5

⋅

3.24

Multiply using long multiplication.

128.5×3.24

To find the number of decimal places needed in the answer, add the number of decimal places in the multiplier and multiplicand. In this case, there is a total of

3

, so the answer must have

3

decimal places as well.

416.34

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The spending limit on John's credit card is given by the function f(t) = 15,000 + 1.57, where x is his monthly income. 1-13) $60
coldgirl [10]
1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"

means that if the monthly income of John is $ 5,000 ,he can spend at most

f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)

Or for example

if Johns monthly income is $8,000, then he can spend at most

f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)


2.
Now, assume that the maximum amount that John can spend is y.

Then, y=15,000+1.5x

we can express x, the monthly income, in terms of y by isolating x:

y=15,000+1.5x

1.5x = y-15,000
X=y-15,000/1.5

thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:

G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.

3.

If John's limit is $60,000, his monthly income is
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dollars.


Answer: $ 30,000

Remark: g is called the inverse function of f, since it undoes what f does.

instead of g(x), we could use the notation
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Put the following equation of a line into slope-intercept form, simplifying all fractions. 5x+6y=42
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Answer:

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Step-by-step explanation:

Slope-intercept formula requires us to isolate the y variable. We can do this in just a couple of steps.

1) Move 5x from the left to the right side by subtracting 5x from both sides. This cancels out the 5x on the left side, and remember, what we do to one side we must do to the other to keep the equation balanced.

6y=-5x+42

2) Divide both sides by 6. Again, we are cancelling out the 6 on the left but we must also divide on the right. This would mean dividing -5 and 42 by 6 to get:

y=-\frac{5}{6} + 7

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