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lbvjy [14]
3 years ago
8

A television sells for 900. Instead of paying the total amount at the time of the purchase the television can be bought by payin

g 150 down and 100 a month for 14 months. How much is saved by paying the total amount at the time of purchase
Mathematics
1 answer:
Andrews [41]3 years ago
6 0

The amount saved by paying the total amount at the time of purchase is $ 650

<em><u>Solution:</u></em>

Given , a television sells for $ 900

Cost of television at time of purchase = $ 900

Instead of paying the total amount at the time of the purchase the television can be bought by paying 150 down and 100 a month for 14 months

<em><u>The cost spend when television is bought by paying 150 down and 100 a month for 14 months is given as:</u></em>

cost spend = 150 + 100(14)

cost spend = 150 + 1400 = 1550

Thus cost spend by paying in months = $ 1550

Amount saved = cost spend by paying in months - Cost of television at time of purchase

Amount saved = $ 1550 - $ 900 = $ 650

Thus amount saved by paying the total amount at the time of purchase is $ 650

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Answer:

0.25 feet per minute

Step-by-step explanation:

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Since base diameter = Height of the Cone

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Therefore,

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Therefore: \dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=20

We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.

h=10$ feet$\\\\\dfrac{3\pi *10^2}{12}\dfrac{dh}{dt}=20\\25\pi \dfrac{dh}{dt}=20\\ \dfrac{dh}{dt}= \dfrac{20}{25\pi}\\ \dfrac{dh}{dt}=0.25$ feet per minute (to two decimal places.)

When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute

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3 years ago
A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim
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Answer:

74.86% probability that a component is at least 12 centimeters long.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 14

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The standard deviation is the square root of the variance.

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