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inn [45]
3 years ago
7

Mrs.Merson is selling her car. her research shows that her car has a current value of 5,500 which is 55% percent of the amount p

aid for the car. a buyer wants to know the price of the car.
Mathematics
1 answer:
Alborosie3 years ago
8 0

Answer:

7975

Step-by-step explanation:

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The number of members over time in an online music sharing club can be modeled by an exponential function. the club started with
Paraphin [41]

Answer:

a.) N(x) =  N_{0} e^{bx}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) The club will not be able to get more than 5000 members during its first year.

Step-by-step explanation:

i) the club started with 2100 members.

  so we can write N_{0} = 2100.

a.) so we can write the equation as an exponential function given by

  N(x) =  N_{0} e^{bx} where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .

 therefore 2142 = 2100 \times (e^{b\times 1}) = 2100e^{b}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) Will the club have more than 5000 members during its first year? Justify your reasoning.

      5000 = 2100e^{0.0198x}

 therefore x  = \frac{1}{0.0198} \ln{(\frac{5000}{2100} )}  =  43.81 \hspace{0.1cm}months

The club will not be able to get more than 5000 members during its first year.

7 0
3 years ago
How do you do it? What do you take away and do after?
Nuetrik [128]

hi sorry I can't help with that

5 0
3 years ago
Read 2 more answers
Conplete the square to solve the quadratic equation. x<br><img src="https://tex.z-dn.net/?f=1%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20
o-na [289]

Answer:

\large\boxed{x=4\pm2\sqrt6}

Step-by-step explanation:

x^2-6x+12=2x+20\qquad\text{subtract}\ 2x\ \text{and}\ 12\ \text{from both sides}\\\\x^2-8x=8\\\\x^2-2(x)(4)=8\qquad\text{add}\ 4^2=16\ \text{to both sides}\\\\x^2-2(x)(4)+4^2=8+4^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-4)^2=24\iff x-4=\pm\sqrt{24}\\\\x-4=\pm\sqrt{4\cdot6}\\\\x-4=\pm\sqrt4\cdot\sqrt6\\\\x-4=\pm2\sqrt6\qquad\text{add 4 to both sides}\\\\x=4\pm2\sqrt6

6 0
3 years ago
Find x. Round your answer to the nearest tenth of a degree.
Y_Kistochka [10]

Answer:

x ≈ 42.5

Step-by-step explanation:

We use tan∅ to solve this:

tanx° = 11/12

x° = tan^{-1}(11/12)

x = 42.5104°

3 0
3 years ago
EXTRA POINTS :) what is the value of x??
vlada-n [284]

Answer:

x = 17

Step-by-step explanation:

corresponding interior angles are supplementary, meaning they have to add up to 180 degrees so

6x + 8 + 4x + 2 = 180°     then combine like terms ( 6x and 4x, 8 and 2 )

10x + 10 = 180         subtract 10 from both sides

        -10     -10

10x = 170            divide each side by 10

/10     /10

x = 17

8 0
3 years ago
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