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vovikov84 [41]
3 years ago
13

Find the Unit Rate

Mathematics
1 answer:
Eduardwww [97]3 years ago
7 0

Answer:

1) 8.7\ \frac{meters}{hour}

2) 1.92\ \frac{points}{game}

3) 1.25\ \frac{strikeouts}{inning}

4) 1.5*10^{-5}\ \frac{error}{piece}

5) 33.40\ \frac{points}{career\ playoff\ game}

Step-by-step explanation:

1) Convert mixed numbers to decimal numbers dividing the numerator by the denominator and adding the result to Whole number part:

21+0.75=21.75\\\\2+0.5=2.5

The unit rate is:

Unit\ rate=\frac{21.75\ meters}{2.5\ hour}\\\\Unit\ rate=8.7\ \frac{meters}{hour}

2) Divide 2,857 points by 1,487 games:

 Unit\ rate=\frac{2,857 \ points}{1,487\ games}\\\\Unit\ rate=1.92\ \frac{points}{game}

3) Divide 255 strikeouts by 204 innings:

 Unit\ rate=\frac{255\ strikeouts}{204\ innings}\\\\Unit\ rate=1.25\ \frac{strikeouts}{inning}

4) Divide 15 errors by 1,000,000 pieces:

 Unit\ rate=\frac{15\ errors}{1,000,000\ pieces}\\\\Unit\ rate=1.5*10^{-5}\ \frac{error}{piece}

5) Divide 5,979 points by 179 career playoff games:

 Unit\ rate=\frac{5,979\ points}{179\ career\ playoff\ games}\\\\Unit\ rate=33.40\ \frac{points}{career\ playoff\ games}

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A newspaper editor starts a retirement savings plan in which $225 per month is deposited at the beginning of each month into an
qwelly [4]

Answer: the value of this investment after 20 years is $112295.2

Step-by-step explanation:

We would apply the formula for determining future value involving deposits at constant intervals. It is expressed as

S = R[{(1 + r)^n - 1)}/r][1 + r]

Where

S represents the future value of the investment.

R represents the regular payments made(could be weekly, monthly)

r = represents interest rate/number of interval payments.

n represents the total number of payments made.

From the information given,

Since there are 12 months in a year, then

r = 0.066/12 = 0.0055

n = 12 × 20 = 240

R = $225

Therefore,

S = 225[{(1 + 0.0055)^240 - 1)}/0.0055][1 + 0.0055]

S = 225[{(1.0055)^240 - 1)}/0.0055][1.0055]

S = 225[{(3.73 - 1)}/0.0055][1.0055]

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3 years ago
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Answer:

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7 0
3 years ago
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