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sasho [114]
3 years ago
11

At the beginning of the year, the number of books owned by a library was 10,000. Since then, it has grown by 1% each month.

Mathematics
1 answer:
aleksklad [387]3 years ago
8 0

Answer:

y = 10(1.01)^60

Step-by-step explanation:

The general equation of exponential growth is

y = ab^x

b has to do with the rate of growth.

b = 1 + r, so in this case, b = 1 + 1% = 1 + 0.01 = 1.01.

Now we have

y = a(1.01)^x

a is the initial value, so now we have

y = 10000(1.01)^x

where y is the number of books after x months

Since you need the number of books after 5 years, we must convert 5 years into months.

5 years * (12 months)/year = 60 months

The problem wants the expression in thousands of books, so we divide the initial value by 1000.

Answer: y = 10(1.01)^60

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Step-by-step explanation:

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3 years ago
Line 1 passes through the points -2,7 and 3,3. Line 2 passes through the points 5,1 and 9,1. Find the slope of each line. Which
RSB [31]

Answer:

The slope of the given line 1 is  -4/5.

The slope of the given line 2 is  0.

The line 2 has a greater slope then line 1.

Step-by-step explanation:

The slope of a line with points (x1,y1) and (x2,y2) is given as:

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

Now, Here the, points of the line 1 are A (-2,7) and B (3,3)

So, here, the slope of line AB  is m = \frac{3 -7}{3-(-2)}  = \frac{-4}{3 +2} =   \frac{-4}{5}

Hence, the slope of the given line 1 is  -4/5.

Now, Here the, points of the line 2 are P (5,1) and Q (9,1)

So, here, the slope of line PQ  is m = \frac{1-1}{9-5}  = \frac{0}{4} =   0

Hence, the slope of the given line 2 is  0.

Now, as we can see  0    >  ( -4 / 5)

So, the line 2 has a greater slope then line 1.

5 0
3 years ago
Please help with this question.
katrin2010 [14]
The answer is 10 minutes
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3 years ago
Can you help me in this question?
mrs_skeptik [129]

Answer:

the answer is third option B

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