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3 years ago

What is 2(1+5x)-3x=72 solve for x please

Mathematics

2 answers:

Leona [35]3 years ago

8 0

Answer:

x= 10 is the answer

kirill [66]3 years ago

7 0

Answer:

x = 10

Step-by-step explanation:

2(1+5x)-3x=72

Distribute

2 + 10x -3x = 72

Combine like terms

2+7x=72

Subtract 2 from each side

2+7x-2 = 72-2

7x = 70

Divide by 7

7x/7 = 70/7

x = 10

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ABC Auto Insurance classifies drivers as good, medium, or poor risks. Drivers who apply to them for insurance fall into these th

Misha Larkins [42]

Answer:

a. $P(E_1/A)=0.0789$

b. $P(E_2/A)=0.395$ \

c. $P(E_3/A)=0.526$

Step-by-step explanation:

Let $E_1,E_2,E_3$ are the events that denotes the good drive, medium drive and poor risk driver.

$P(E_1)=0.30,P(E_2)=0.50,P(E_3)=0.20$

Let A be the event that denotes an accident.

$P(A/E_1)=0.01$

$P(A/E_2=0.03$

$P(A/E_3)=0.10$

The company sells Mr. Brophyan insurance policy and he has an accident.

a.We have to find the probability Mr.Brophy is a good driver

Bayes theorem, $P(E_i/A)=\frac{P(A/E_i)\cdot P(E_1)}{\sum_{i=1}^{i=n}P(A/E_i)\cdot P(E_i)}$

We have to find $P(E_1/A)$

Using the Bayes theorem

$P(E_1/A)=\frac{P(A/E_1)\cdot P(E_1)}{P(E_1)\cdot P(A/E_1)+P(E_2)P(A/E_2)+P(E_3)P(A/E_3)}$

Substitute the values then we get

$P(E_1/A)=\frac{0.30\times 0.01}{0.01\times 0.30+0.50\times 0.03+0.20\times 0.10}$

$P(E_1/A)=0.0789$

b.We have to find the probability Mr.Brophy is a medium driver

$P(E_2/A)=\frac{0.03\times 0.50}{0.038}=0.395$

c.We have to find the probability Mr.Brophy is a poor driver

$P(E_3/A)=\frac{0.20\times 0.10}{0.038}=0.526$

7 0

3 years ago

Billy will earn $8 per hour and work 12 hours per week how much will he earn in one week

wolverine [178]

Answer:

The answer is simple. If there is $8 an hour and works for 12 hours, just multiply 8 by 12, which is 96. He will earn $96 in a week

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A certain manufacturing company has the following data on quantities shipped and unit costs for each of its four products.

AnnyKZ [126]

Answer:

Paasche's Index= 168.63= 169

Step-by-step explanation:

Products

Base-Period Current Period

Quantities Mean Shipping Quantities Mean Shipping

(Year 1) Cost per Unit ($) (Year 5) Cost per Unit ($)

A 1,500 10.50 4000 15.90

B 5,000 16.25 3000 33.00

C 6,500 12.20 8000 18.40

D 2,500 20.00 3000 35.50

Paasche's Index= ∑ pn.qn/∑po.qn* 100

Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.

Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.

Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.

Product pn.qn po.qn

A 15.90* 4000 10.50* 4000

= 63600 =42000

B 33.00*3000 16.25 * 3000

= 99000 = 48750

C 18.40* 8000 12.20 *8000

=147200 =97600

D 35.50* 3000 20.00*3000

=106500 60,000 

∑ 416300 248350

Paasche's Index= ∑ pn.qn/∑po.qn= 416300/ 248350 *100 = 1.676=1.68= 168.63= 169

7 0

3 years ago

The population of a town grows exponentially. After 1 year, the population is 34,560. After 2 years, the population is 37,325. W

Vladimir [108]

Exponential growth has the form:

F=Ir^t, F=final amount, I=initial amount, r=rate, t=time.

First let's solve for the rate, r, using the points provided...

37325/34560=(Ir^2)/(Ir^1)

r≈1.08

Now find the initial amount...

34560=I(1.08)^1

I=32000 so now we have the entire equation, using x and y...

y=32000(1.08)^x

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2 years ago

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Find the equation to the line below. 1 [? Х y =

kap26 [50]

Answer:

y= -4/3x

Step-by-step explanation:

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3 0

3 years ago