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max2010maxim [7]
3 years ago
8

Paul can choose to be paid $50 for a job or he can be paid 12.50 per hour. Underwhat circumstances should he choose the hourly w

age? Explain
Mathematics
1 answer:
Advocard [28]3 years ago
8 0
Option 1: $50
Option 2: $12.50 per hour.

50 ÷ 12.50 = 4

Paul can choose the hourly wage if he works more than 4 hours.
For example, he works 5 hours.

12.50 x 5 hours = 62.50

$62.50 is higher than the fixed rate of $50. Thus, hourly wage is the better option.
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X<=-5 is what it looks like to me
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A baseball diamond is shaped like a square with each side measuring 30<br> yards.
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Walter is right cause 30x5 equals 150
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Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tre
german

Answer:

Volume of Cone =

=  \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3

Thus, Volume = 16.75 cubic feet

Step-by-step explanation:

Volume of a cone is given by the formula  

V=\frac{1}{3}\pi r^2 h

Where r is the radius and

h is the height

Given radius r = 2 and

height is 2 times that.

So height is 2*2 = 4

Plugging these into the formula we get:

Volume of Cone =

=  \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3

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8 0
3 years ago
76. Currently, your savings for each month is capped at $400. If you start investing all of this into a savings plan earning 1%
Alexxandr [17]

Answer:

10 years and 10 months.

Step-by-step explanation:

The annually interest rate (ia) can be converted by monthly (im) by the equation:

(1 + im)¹² = 1 + ia

(1 + im)¹² = 1 +0.01

(1 + im)¹² = 1.001 (putting ln in both sides)

ln(1 + im)¹² = ln1.001

12*ln(1 + im) = 1.0x10⁻³

ln(1 + im) = 8.33x10⁻⁵(applying "e in both sides)

e^{ln(1 + im)} = e^{8.33x10^{-5}}

1 + im = 1.00083

im = 0.00083 = 0.083%

For a investimenting, the final amount (A) can be calculated by:

A = R*(\frac{(1+i)^n-1}{i} )

Where R is the amount invested per month, i is the interest, and n the number of months:

160000 = 400 *\frac{(1 +0.00083)^n - 1}{0.00083}

\frac{(1 +0.00083)^n - 1}{0.00083} = 400

1.00083ⁿ - 1 = 0.332

1.00083ⁿ = 1.332 (applying ln in both sides)

n*ln1.00083 = ln1.332

8.3x10⁻⁴n = 0.2867

n = 345.4 months

345.4 months *1 yea12 months = 10 years and 10 months.

7 0
3 years ago
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Slope formula is y2-y1 over x2-x1, which will give you -6.

6 0
3 years ago
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