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2 years ago

Point a (8, -10) is reflected over the y-axis. write the coordinates of a

1 answer:

3 0

If you reflect something over the y axis, you reverse the x coordinate, because as you reflect it over the y axis, it's not changing its height, it's changing its place on the x axis.

So basically,

(8, -10)

becomes

(-8, -10)

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Bogle Company purchased machinery for $320,000 on January 1, 2014. Straight-line depreciation has been recorded based on a $20,0

horrorfan [7]

Answer:

$66,000

Step-by-step explanation:

Data provided in the question:

Purchasing cost of the machine = $320,000

Salvage value = $20,000

Useful life of the machine = 5 years

The gain on selling of the machine = $6,000

Now,

The annual depreciation of the machine

= [Cost - salvage value] ÷ ( Useful life )

= [ $320,000 - $20,000 ] ÷ 5

= $60,000

Accumulated depreciation from January 1, 2014 to May 1, 2018

= Annual depreciation × (Duration from January 1, 2014 to May 1, 2018 )

= $60,000 × ( 4 years 4 months )

= $60,000 × $\frac{52}{12}$ years

[48 months + 4 months = 52 months]

= $260,000

Therefore,

Book value on May 1, 2018 = Cost - Accumulated depreciation

= $320,000 - $260,000

= $60,000

Now,

Gain = Selling cost - Book value

$6,000 = Selling cost - $60,000

Selling cost = $66,000

Hence,

cash Bogle received from the sale of the machinery was $66,000

7 0

2 years ago

Together, Katya and Mimi have 480 pennies in their piggy banks. After Katya lost ½ of her pennies and Mimi lost 2/3 of her penni

vesna_86 [32]

Answer:

288 pennies

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A used car dealer prices her cars so that she makes a minimum profit of 15% on each car sold. If she acquired a car for $4,500,

enot [183]

Answer:

$p\geq 1.15(4,500)$

Step-by-step explanation:

If she makes a minimum profit, we need to use the symbol $\geq$ , which indicates minimum quality.

Let's call $p$ profit, so the inequality which represent this problem would be

$p\geq 1.15(4,500)$

The price of the car is multiplied by 1.15, because she must add her profit comission which is 0.15 or 15%.

Therefore, the right answer is the last choice.

3 0

2 years ago

Read 2 more answers

Solve for x. 3x-r=r(-3+x)

Alexeev081 [22]

3x-r=r (-3+x)
3x-r=-3r+xr
3x-r+r=-3r+xr+r
3x=-2r+xr
3x-xr=-2r+xr-xr
3x-xr=-2r
x (3-r)=-2r
x (3-r)/(3-r)=-2r/(3-r)
x=-2r/(3-r)

7 0

2 years ago

According to a 2013 study by the Pew Research Center, 15% of adults in the United States do not use the Internet (Pew Research C

Ivahew [28]

Answer:

a) $P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969$

b) $P(X=3)=(10C3) (0.15)^3 (1-0.15)^{10-3}= 0.1298$

c) $P(X \geq 1) = 1- P(X$

$P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969$

So then we have:

$P(X \geq 1) = 1- P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.15)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Part a

For this case we want this probability:

$P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969$

Part b

For this case we want this probability:

$P(X=3)$

And using the probability mass function we got:

$P(X=3)=(10C3) (0.15)^3 (1-0.15)^{10-3}= 0.1298$

Part c

For this case we want this probability:

$P(X \geq 1)$

And we can use the complenet rule and we got:

$P(X \geq 1) = 1- P(X$

$P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969$

So then we have:

$P(X \geq 1) = 1- P(X$

3 0

2 years ago