Answer:
s(t) = 10000·1.65^t
Step-by-step explanation:
The general form of an exponential model is ...
f(t) = (initial value) × (1 +(fractional change))^t
where the fractional change can be positive or negative and t is the number of time units. Each time unit will correspond to the period required for the fractional change.*
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For your problem, you have (initial value) = 10,000 and (fractional change) = 65% = 0.65 with time units of 1 year. Your function for sales (s) will then be ...
s(t) = 10000·1.65^t
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* The business regarding time units has to do with problems where you get a description like "increased 30% in 4 hours." Then, if t is in hours, the multiplier of the initial value looks like 1.30^(t/4).
<span>6b^3 (2a+7b)
</span>
<span><span>(<span>6b^3</span>)</span><span>(<span>2a+7b</span><span>)
</span></span></span>
<span><span><span>=(<span>6b^3</span>)</span><span>(2a)</span></span>+<span><span>(<span>6b^3</span>)</span><span>(7b)
</span></span></span>
<span><span>=12ab^3</span>+<span>42<span>b^4]
Answer: </span></span></span>
<span><span><span>12a</span><span>b^3</span></span>+<span>42<span>b^4</span></span></span>
Your question is not clear, but it looks as though you want to know how Brie can make a similar sandbox with base = 8ft.
Answer:
For Brie to make a similar sandbox, he must use a base = 8ft, and height = (8/3)ft
Step-by-step explanation:
It is possible for Brie to make a similar triangular sandbox with base = 12ft and height = 4ft.
All he must ensure is that the ratio of base to height of the original sandbox is the same ratio of base to height of the one he is trying to make.
The original sandbox is 12:4
Because he wants to use a base = 8ft, the sandbox he is trying to make is 8:x
Where x is the height of the sandbox he is trying to make.
Then for these sandboxes to be similar, the ratio 12:4 = 8:x
=> 12/4 = 8/x
12x = 8 × 4
12x = 32
x = 8/3
The height must be (8/3)ft
Step-by-step explanation:
Volume of displaced water = (10cm)(10cm)(1.6cm)
= 160 cm^3
density = mass/vol of displaced water
= 3088 grams/160 cm^3
= 19.3 g/cm^3
P.S. This is most likely a pure gold medallion.
Answer:
2.26 13.-8
3.-14 14.-1
4.-12 15.3
5.-15 16.-3
6.-5 17.8
7.-15 18.-20
8.-2
9.39
10.-125
11.-50
12.29
Step-by-step explanation:
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