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2 years ago

9

15. The price of a ticket for your office Christmas party is $17.75. So far you've sold 28 tickets. How much money should you ha

ve? A. $330 B. $495 C. $497 D. $427

1 answer:

Marina CMI [18]2 years ago

5 0

17.75 x 28 = 497
you answer is C

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Graph the linear equation. Find three points that solve the equation, then plot on the graph. -3y=x-6

nata0808 [166]

Answer:

Step-by-step explanation: x - 6

The given equation can be re-written as y = ---------

-3

Arbitrarily choose x = 0. Then:

x - 6 0-6

y = --------- = ----------- = 2, so (0, 2) is a point on the graph which is also the

-3 -3 y-intercept

Arbitrarily choose x = 6. Then y = 0, and (6, 0) is another point on the graph

which happens to be the x-intercept

arbitrarily choose x = 12. Then y = (12 - 6) / (-3) = -2. Then (12, -2) is

another point on the

graph.

Plot (12, -2), (6, 0) and (0, 2). Draw a line through these three points.

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2 years ago

Susan and ronald dugan agreed upon the price of 256,000 for their new home. They plan to make 30 percent down payment and financ

Eduardwww [97]

Answer:

The total amount to be paid for new home is $838,014.72

Step-by-step explanation:

Given as :

The price of the new house = $256,000

The down payment amount = 30% of house price

So, The down payment price = 30% of $256,000

i.e The down payment price = $\dfrac{30}{100}$ × 256000

Or, The down payment price = $76,800

Now, rest amount is finance

So, The finance Amount = p = $256000 - $76800 = $179,200

The rate of interest applied = r = 7.5%

The time period of finance = t = 20 years

Let The Amount after 20 years of finance = $A

Let The total amount to be paid for new home = $B

<u>Now, From Compound Interest </u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, A = p × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, A = $179,200 × $(1+\dfrac{\textrm 7.5}{100})^{\textrm 20}$

Or, A = $179,200 × $(1.075)^{\textrm 20}$

Or, A = $179,200 × 4.24785

∴ A = $761,214.72

So,The Amount after 20 years of finance = A = $761,214.72

<u>Now, Again</u>

The total amount to be paid for new home = Down payment amount + The Amount after 20 years of finance

Or, B = $76,800 + A

Or, B = $76,800 + $761,214.72

Or, B = $838,014.72

So, The total amount to be paid for new home = B = $838,014.72

Hence, The total amount to be paid for new home is $838,014.72 Answer

7 0

2 years ago

The number of calls coming per minute into a hotel reservation center is Poisson random variable with mean 3.

natima [27]

Answer:

a) 0.05

b) 0.9826

c) 0.000039308

Step-by-step explanation:

a) $P_X(0) = \frac{e^{-3}3^0}{0!} = e^{-3} = 0.05$

b) For two minutes, the mean is doubled, hence it is 6. In order to calculate the probability of al least two calls arriving, we calculate first the probability of the complementary event: At most 1 call will arrive. For that probability, we need to sum the probabilities of 0 and 1.

$P_X(0) = e^{-6}$

$P_X(1) = \frac{e^{-6}*6^1}{1!} = 6*e^{-6}$

Hence,

$P(X \geq 2) = 1-P(X < 2) = 1- 7*e^{-6} = 0.9826$

c) For five minutes the mean is 15. We need to sum the probabilities of 0, 1 and 2.

$P_X(0) = e^{-15}$

$P_X(1) = e^{15}*15$

$P_X(2) = \frac{e^{-15}*15^2}{2!} = 112.5*e^{-15}$

As a result,

$P(X \leq 2) = e^{-15}(1+15+112.5) = 0.000039308$

Practically 0

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2 years ago

A log splitter uses a pump with hydraulic oil to push a piston, attached to which is a chisel. The pump can generate a pressure

faust18 [17]

we are given

The pump can generate a pressure of 2.3x107 pa

so,

$p=2.3*10^7$

a radius of 0.041 m

so,

$r=0.041m$

a stroke lasting 29 s, the piston moves 0.57 m

so,

$h=0.57m$

$t=29s$

Firstly, we will find area

$A=\pi r^2$

$A=\pi (0.041)^2$

$A=0.00528$

now, we can use power formula

$P=\frac{W}{t}$

F=pA

W=Fh

so, W=pAh

we can plug it

$P=\frac{p*A*h}{t}$

now, we can plug values

$P=\frac{2.3*10^7*0.00528*0.57}{29}$

now, we can simplify it

Power=2386.92414 watt.........Answer

6 0

2 years ago

Which is the correct classification of StartFraction 3 Over 8 EndFraction?

Sedaia [141]

Answer: the answer is rational number 0.375

Step-by-step explanation:

:D trust me it’s correct

3 0

2 years ago

Read 2 more answers