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almond37 [142]
3 years ago
7

Adam bought a fish aquarium worth $2,000 in the first week of the year. Its value depreciates by 3% per

Mathematics
1 answer:
scoray [572]3 years ago
5 0

Answer:

The answer is 1825.35

Step-by-step explanation:

Since the first week isn’t included, we only count 4 weeks.

So first, 2000 x 0.03 = 60

(By the way 0.03 is 3%)

2000 - 60 = 1940

Subtracting 2000 by 60 represents the amount of money the aquarium went down in that week.

Then, week 3:

1940 x 0.03 = 58.2

1940 - 58.2 = 1881.8

Now, the last week, week four:

1881.8 x 0.03 = 56.45

1881.8 - 56.45 = 1825.35.

Therefore, 1825.35 after 5 weeks.

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Solve the equation below for x. <br> 500 = 25e ^ (2x)
Zigmanuir [339]

Answer:

x = i π n + log(20)/2 for n element Z

Step-by-step explanation:

Solve for x:

500 = 25 e^(2 x)

500 = 25 e^(2 x) is equivalent to 25 e^(2 x) = 500:

25 e^(2 x) = 500

Divide both sides by 25:

e^(2 x) = 20

Take the natural logarithm of both sides:

2 x = 2 i π n + log(20) for n element Z

Divide both sides by 2:

Answer: x = i π n + log(20)/2 for n element Z

7 0
4 years ago
(2^8 x 3^−5 x 6^0)−2 x 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 x 2^28
Veronika [31]

(2^8\cdot3^{-5}\cdot6^0)^{-2}\cdot\left(\dfrac{3^{-2}}{2^3}\right)^4\cdot2^{28}\\\\=(2^8)^{-2}\cdot(3^{-5})^{-2}\cdot1^{-2}\cdot\dfrac{(3^{-2})^4}{(2^3)^4}\cdot2^{28}\\\\=2^{-16}\cdot3^{10}\cdot\dfrac{3^{-8}}{2^{12}}\cdot2^{28}\\\\=2^{-16}\cdot2^{28}\cdot2^{-12}\cdot3^{10}\cdot3^{-8}\\\\=2^{-16+28+(-12)}\cdot3^{10+(-8)}\\\\=2^0\cdot3^2=1\cdot9=\boxed{9}\\\\Used:\\\\(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^n\cdot a^m=a^{n+m}\\\\a^{-n}=\dfrac{1}{a^n}

4 0
4 years ago
Read 2 more answers
What is the quotient of 1/5 divided by 1/3?
Ugo [173]

Answer:

\frac{3}{5} or 0.6

Step-by-step explanation:

3 0
3 years ago
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Consider m = y2 - y1/ x2 - x1 . Which x1 and x2-values would determine that the line is vertical? Justify your answer
Y_Kistochka [10]

Answer:

x_2=x_1

Step-by-step explanation:

We were given the slope formula;

m=\frac{y_2-y_1}{x_2-x_1}

This line is vertical if the denominator is zero.

That is when x_2-x-1=0

This implies that;

x_2=x_1

Justification;

When x_2=x_1, then, the line passes through;

(x_1,y_1)  and (x_1,y_2)

The slope now become

m=\frac{y_2-y_1}{x_1-x_1}=\frac{y_2-y_1}{0}

The equation of the line is

y-y_1=\frac{y_2-y_1}{0}(x-x_1)

This implies that;

0(y-y_1)=(y_2-y_1)(x-x_1)

0=(y_2-y_1)(x-x_1)

\frac{0}{y_2-y_1}=(x-x_1)

0=(x-x_1)

x=x_1... This is the equation of a vertical line.

3 0
3 years ago
Our number of the day is 47 make a list how many different ways make the number of day
vekshin1
47/100 and 47.00 are what I can think of.
5 0
3 years ago
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