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3 years ago

LAST ONE Find the range of the data. 16, 55, 61, 92, 31 range =

Mathematics

1 answer:

agasfer [191]3 years ago

4 0

Answer:

Step-by-step explanation:

arrange the data set from least to greatest:

16, 31, 55, 61, 92

Range = Highest value - Lowest value = answer

Range = 92 - 16 = 76

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Rufina [12.5K]

Answer: a = 23, b = 21, c = 136

Step-by-step explanation:

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3 years ago

Kenji buys 3 yards of fabric for $7.47. Then he realizes that he needs 2 more yards. How much will the extra fabric cost?

bixtya [17]

3 yards fabric costs $7.47
1 yard fabric costs $7.47 / 3
2 yard fabric costs $7.47 / 3 * 2
= $4.98
so, the extra fabric will cost $4.98

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3 years ago

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John buys 6 shirts. For every shirt you purchase you get one for 30% off. If the normal price for each shirt is $20.00 dollars,

algol [13]

Answer:

78.

Step-by-step explanation:

the reason this is 78 is because you divide 6 by two then get 3. 3*20=60. 30% of 20 is 6. 6*3 is 18 plus 60=78

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3 years ago

April invested in a lifetime annuity that begins payments at age 65. Her life expectancy is 89. April invested a $1,000,000 into

Mila [183]

Answer:

Monthly payment is $5970

Step-by-step explanation:

Given : April invested in a lifetime annuity that begins payments at age 65. Her life expectancy is 89. April invested a $1,000,000 into the annuity, which earns 4.4% APR compounded monthly.

To find : what is April's monthly payment amount?

Solution :

Formula of monthly payment

Monthly payment, $M=\frac{\text{Amount}}{\text{Discount factor}}$

Discount factor $D=\frac{1-(1+i)^{-n}}{i}$

Where, Amount = $1,000,000

Rate r= 4.4%=0.044 compounded monthly

$i=\frac{0.044}{12}=0.004$

Time = 89-65=23 years

$n=23\times12=276$

Now, put all the values we get,

$D=\frac{1-(1+i)^{-n}}{i}$

$D=\frac{1-(1+0.004)^{-276}}{0.004}$

$D=\frac{1-(1.004)^{-276}}{0.004}$

$D=\frac{1-0.33}{0.004}$

$D=\frac{0.67}{0.004}$

$D=167.5$

Monthly payment, $M=\frac{\text{Amount}}{\text{Discount factor}}$

$M=\frac{1000000}{167.5}$

$M=5970.1$

Approximately,monthly payment is $5970

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4 years ago

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Density is also the slope of the relationship between mass and volume. If the density

mixer [17]

Answer:

Slope = 7.2 g/mL

Step-by-step explanation:

Density = mass/volume

Density is also the slope of the relationship between mass and volume.

When a graph between mass and volume is plotted, its slope gives the density of the object.

If the density is 7.2 g/mL, it would mean that the slope is 7.2 g/mL. Hence, this is the required solution.

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3 years ago

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