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kramer
2 years ago
5

A new television set was recently purchased for the common room in a Residence Hall for $408.00 including tax. If the tax rate i

s 2% ​, find the price of the television set before taxes.
Mathematics
1 answer:
Mumz [18]2 years ago
6 0

Answer:

399.84

Step-by-step explanation:

408.00 x .98 (2% reduction from 100) = 399.84

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The population of bacteria in a culture doubles every 14 hours. How long will it take for
Snezhnost [94]

Answer:  22 hours 11 minutes

<u>Step-by-step explanation:</u>

P=P_o\cdot e^{(kt)}\\\\\text{Since the initial population is doubled in 14 hours, then:}\\2P_o=P_o\cdot e^{k\cdot 14}\\2=e^{14k}\\ln\ 2=ln\ e^{14k}\\ln\ 2=14k\\\\\dfrac{ln\ 2}{14}=k\\\\0.0495=k\\\\\\\text{Now that the k-value has been determined, we can find the time when the}\\\text{population is tripled:}\\3P_o=P_o\cdot e^{0.0495t}\\3=e^{0.0495t}\\ln\ 3=ln\ e^{0.0495t}\\ln\ 3=0.0495t\\\\\dfrac{ln\ 3}{0.0495}=5\\\\22.19=t\\\\22\ hrs +0.19\ hrs

22\ hours + \bigg[\dfrac{19}{100}=\dfrac{x}{60}\bigg]\\\\22\ hours + 11\ minutes

4 0
2 years ago
An oil exploration firm is formed with enough capital to finance ten explorations. The probabil- ity of a particular exploration
tensa zangetsu [6.8K]

Answer:

μ = 1 The firm expects that one oil exploration will be successful.

v(x)= 0.9

Step-by-step explanation:

The first step is to define the random variable x as:

x: number of oil explorations being succesful

Then x can be take this values:

x = 0 , x =1 ... x =10

x is a binomially distributed random variable with parameters.

p = 0.1 and  n=10

And the mean or the expected value of x is:

μ = E(x) = np

Then μ = 10*0.1 = 1

And the variance of x is:

V(x) = np(1-p)

V(x) = 10(0.1)(1-0.1)= 0.9

6 0
2 years ago
PLEASE HELP IM STUCK ON A PROBLEM....
sleet_krkn [62]

Answer:

Number line A.

Step-by-step explanation:

|-5x| - 11 = -1

Add 11 to both sides.

|-5x| = 10

-5x = 10 or -5x = -10

x = -2 or x = 2

Answer: Number line A.

5 0
2 years ago
How many significant numbers are in 1,076
Anton [14]
There are 4 significant figures as the zero is placed between significant numbers.
8 0
2 years ago
The Charleston family has less than 500 Dalmatians. There are six times as many Dalmatians with black spots on their right ears
ANEK [815]
Let x be the number of Dalmatians without black spots.
So, x+6x is close to 500, which means x=71.
71*7=497, which is the total number of Dalmatians.
Giving away 6% of this will give you around 467 Dalmatians left.

Answer:467 Dalmatians
7 0
3 years ago
Read 2 more answers
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