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algol [13]
3 years ago
7

A certain quantity grows exponentially over time. The initial quantity at t = 0 is 1,000. The quantity grows by a factor of 3%.

What is the quantity at t = 5 to the nearest whole number? A. 116 . B. 1126 . C.1159 . D. 3713 .
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0
<span>1000*(1.03) = 1030 at t = 1
 
1000*(1.03) = 1060.9 at t = 2

1000*(1.03) = 1092.727 at t = 3

1000*(1.03) = 1125.508 at t = 4

1000*(1.03) = 1159.274 at t = 5

So i think the answer would be : C. 1159

Hope this helps</span>
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son4ous [18]

Answer:

A) 21

Step-by-step explanation:

Mean:

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105/5

21

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3 years ago
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The summit of a mountain pass is 8,050 ft above sea level. the valley below is 12 and 1/2 ft below sea level. what is the vertic
Veseljchak [2.6K]

Answer:

Vertical distance between the valley and the summit = 8062.5 ft

Step-by-step explanation:

Distances above the sea level are denoted by positive notations and below the sea level by negative notation.

Summit of a mountain pass = 8050 (above the sea level)

Valley below the sea level = 12 and half ft = (-12.5) ft

Distance between the summit and the valley = 8050 - (-12.5)

                                                                           = 8050 + 12.5

                                                                           = 8062.5 ft

Therefore, Vertical distance = 8062.5 ft will be the answer.

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3 years ago
If it takes 5 1/4 minutes to make one cut through a log, how long will it take to cut a 5 ft log into 5 equal pieces?
vovikov84 [41]

Answer:

131.25

Step-by-step explanation:

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chubhunter [2.5K]

Answer:

±2

Step-by-step explanation:

For simplicity let's take a look at a general third order polynomial:

ax^3 + bx^2 + cx + d.  In this particular case,

rational roots have the form ±d/±a.  Note that these are fractions/ratios.  Beyond that, we factor d and choose numerators ±(all possible whole number factors of d, dividing these results by all possible factors of a.

Looking at 4x^3 + 9x^2 - x + 10 = 0, we see that d = 10 and that factors of d include ±1, ±2, ±5 and ±10.  a = 4 and factors of a include ±1, ±2, ±4.

So, any rational roots of the given polynomial will stem from the possible rational roots

±1    ±2    ±5    ±10    ±1    ±2    ±5    ±10

--- , ----- , -----, ------- , ---- , ----- , --- , ------ , and so on,

±1    ±1     ±1      ±1      ±2    ±2   ±2     ±2

until you have used up all of the possible factors of 10 and all of the possible factors of 4.  

Of the four possible rational roots you have shared, only ±2 (which would actually be ±2 / ±1) is acceptable.

4 0
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siniylev [52]

Answer:

(0,0)

Step-by-step explanation:

If a point satisfies both functions, they must be equal to each other. Thus, we have:

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Therefore, the y is also zero.

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Alternatively, you can also visualize the graphs. The only point where the graphs will touch is the origin point or (0,0).

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