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Mila [183]
3 years ago
7

Jasmine can oil the lanes in a bowling alley in 10 hours. One day her friend joe helped her and it only took 4.44 hours. Find ho

w long it would take joe to do it alone
Mathematics
1 answer:
uranmaximum [27]3 years ago
6 0

Jasmine's rate is 1/10 alleys per hour

Together their rate is 1/4.44 alleys per hour.

Joe's rate must be

1/4.44 - 1/10 = 139/1110  alleys per hour

It would take Joe

1110/139 ≈ 7.99 hours to do an alley alone.

Let's call it 8 hours.



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Help please!!!!! ASAP!!! Only brainliest answer gets points. No wrong answers. Only answer if you know how to do this.
FinnZ [79.3K]

Answer:

The number of pounds of coffee in stock decreased by 9% each hour since the trend began.

There were 40 pounds of coffee in stock when the trend began.

Step-by-step explanation:

p(x)=0.4(.91)^x

      = a b^x

where a is the initial value and b = 1-rate of decrease

We know that the number of pounds of coffee will decrease as time goes on.

.4 is the initial value

It is in the hundreds of pound

.4 * 100 = 40 pounds

x is the number of hours

.91 = 1- rate of decrease

Subtract 1 from each side

.91-1 =-rate of decrease

-.09 = -rate of decrease

rate of decrease = .09

rate of decrease = 9 %

That means we keep 91 % of the coffee and sell 9% of the coffee


Lets check the statements:

There were 400 pounds of coffee in stock when the trend began.

False  there were 40 pounds when we started


The number of pounds of coffee in stock decreased by 9% each hour since the trend began.

True  see above calculations


There were 4000 pounds of coffee in stock when the trend began.

False  see above calculations


There were 40 pounds of coffee in stock when the trend began.

True  see above calculations


The number of pounds of coffee in stock decreased by 91% each hour since the trend began.

False  see above calculations


4 0
3 years ago
How much money has to be invested at 5.9% interest compounded continuously to have $15,000 after 12 years?
scoray [572]

The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.

Step-by-step explanation:

The given is,

                Future value, F  = $15,000

                           Interest, i = 5.9%

              ( compounded continuously )

                            Period, t = 12 years

Step:1

           Formula to calculate the present with compounded continuously,

                                       F=Pe^{(i)(t)}...............(1)

           Substitute the values in equation (1) to find the P value,

                                  15000=Pe^{(0.059)(12)}          ( ∵ i = \frac{5.9}{100}=0.059 )

                                  15000=Pe^{0.708}

                                  15000=P(2.0299)             ( ∵ e^{o.708} =2.0299 )

            We change the P (Present value) into the left side,

                                        P=\frac{15000}{2.0299}

                                            =7389.427

                                            ≅ 7389.43

                                         P = $ 7389.43

Result:

           The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.  

                       

8 0
3 years ago
Can I get help plzzz thank you
VikaD [51]

Answer:

something

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation i
steposvetlana [31]

Using prime notation, the new coordinates after translation are;

<em>New coordinates;</em>

A': (-1, 1)

B': (-1, -2)  

C': (3, -2)

D': (3, 2)

  • From the attached image, we can see that the coordinates are;

A(-6, 5)

B(-6, 2)

C(-2, 2)

D(-2, 6)

  • Translating the polygon down by x units means the value of the y-coordinates will reduce by 4.
  • In a similar fashion, translation 5 units to the right means that the x-coordinates would increase by 5.

  • Applying these translation numbers to our coordinates, we will now have;

        A(-6 + 5, 5 - 4)

        B(-6 + 5, 2 - 4)

        C(-2 + 5, 2 - 4)

        D(-2 + 5, 6 - 4)

Simplifying each of them gives us the new coordinates as;

A: (-1, 1)

B: (-1, -2)  

C: (3, -2)

D: (3, 2)

Read more at; brainly.com/question/4726090

7 0
2 years ago
Can someone help me solve this equation
IceJOKER [234]
Yes I can what is it
8 0
3 years ago
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