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3 years ago

A backpack costs $18 and has a 7 percent tax. How much will Sheila have to pay for the backpack after tax?

Mathematics

2 answers:

Mamont248 [21]3 years ago

3 0

Answer:

Step-by-step explanation:

1.26

Anastasy [175]3 years ago

3 0

19.26. Do not forget to add your backpacks cost to the tax. You can take 18 dollars times 1.07 to get the tax and add the tax to the 18. Hope that helps!

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Is 12:8 and 18:12 equivalent?

tia_tia [17]

Answer:

Step-by-step explanation:

18 is not a multiple of 12

and 12 is not a multiple of 8

8 0

3 years ago

Verify that P = Ce^t /1 + Ce^t is a one-parameter family of solutions to the differential equation dP dt = P(1 − P).

NemiM [27]

Answer:

See verification below

Step-by-step explanation:

We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

$1-P=1-\frac{ce^t}{1+ce^t}=\frac{1+ce^t-ce^t}{1+ce^t}=\frac{1}{1+ce^t}$

Now, differentiate to obtain

$\frac{dP}{dt}=(\frac{ce^t}{1+ce^t})'=\frac{(ce^t)'(1+ce^t)-(ce^t)(1+ce^t)'}{(1+ce^t)^2}$

$=\frac{(ce^t)(1+ce^t)-(ce^t)(ce^t)}{(1+ce^t)^2}=\frac{ce^t+ce^{2t}-ce^{2t}}{(1+ce^t)^2}=\frac{ce^t}{(1+ce^t)^2}$

To obtain the required form, extract a factor in both the numerator and denominator:

$\frac{dP}{dt}=\frac{ce^t}{1+ce^t}\frac{1}{1+ce^t}=P(1-P)$

3 0

3 years ago

J.K. Rowling and R.L. Stine are both reading the hunger games. J.K. reads 35 pages every 2 hours and R.L. reads 45 pages every 3

Lilit [14]

Attention:THIS IS PART B ONLY!

First,find the unit rate.

35/2 and x/1

35 divided by 2 = 17.5 so the unit rate for J.K. is 17.5 pages per hour.

now,R.L.

45/3 and x/1

45 divided by 3 = 15 so the unit rate for R.L. is 15 pages per hour

now we need to divide 355 by 17.5 and divide it by 15.Whichever quotient is smaller,finishes the book first

355 divided by 17.5 = about 20 hrs----J.K.

355 divided by 15 = about 24 hrs-----R.L.

So,who read faster?

5 0

3 years ago

Read 2 more answers

Dante and Mia have a total of 350 pennies in their piggy banks, altogether. After Dante lost half of his pennies and Mia lost on

tatuchka [14]

Answer:

150 pennies were lost altogether

Step-by-step explanation:

Let the initial number of pennies owned by Dante be x pennies

Let the initial number of pennies owned by Mia be y pennies

Mathematically ;

x + y = 350 •••••••(i)

So after losing half, dante will have x/2 pennies left.

Mia lost 1/3 so she will have 2/3y left

So after all the losses, they both had equal amount of pennies

This means that;

x/2 = 2y/3

Cross multiply;

3x = 4y •••••••(ii)

Let’s solve both equations simultaneously;

From i , x = 350-y

Substitute this into equation ii

3(350-y) = 4y

1050-3y = 4y

7y = 1050

y = 1050/7

y = 150

since x = 350-y

x = 350-150 = 200

Now Dante loss x/2 = 200/2 = 100

Mia lost 1/3y = 1/3 * 150 = 50

Total pennies lost = 100 + 50 = 150

7 0

3 years ago

The product of two mixed numbers that are each between 4 and 5 is between 16 and 25 true or false

Leni [432]

9514 1404 393

Answer:

True

Step-by-step explanation:

The smallest the product could be is 4×4 = 16.

The largest the product could be is 5×5 = 25.

The product must be between 16 and 25. (true)

5 0

3 years ago