Help !!! can somebody please help me find the exponential growth function for this table .

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

3 0

The formula for exponential growth is written as y = a(1 + RATE)^time

where a is the starting value, rate is the percentage of growth written as a decimal and time in this case would be the number of days.

You are given the growth rate as 11% and the starting day was day 1.

Since the table only goes to 10 days, you can use 10 as the time, or use X as an exponent if you need to calculate more than 10 days.

Using all this information, the formula becomes y = 1(1.11)^10 for 10 days or y = 1(1.11)^x for any number of days needed.

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PLEASE HELP ME WITH THIS QUESTION ITS URGENT!!!

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Start by distributing the exponent to each of the terms in $(2u)^{3}$ . This will become $2^{3} u^{3}$ , and $2^{3} =8$ . Now, the expression is:

$\frac{2u^{3} v^{2} }{8u^{3} * u^{2} }$ .

We can now simplify the bottom to read: $8u^{5}$ because when multiplying variables raised to an exponent, we add the exponents. The expression now looks like:

$\frac{2u^{3} v^{2} }{8u^{5} }$

The 2/8 simplifies to 1/4:

$\frac{u^{3} v^{2} }{4u^{5} }$

Now, we have two u terms on the top and bottom. When dividing variables raised to an exponent, we subtract the exponents. However, since 3-5=-2, the term will be on the bottom to avoid the negative exponent. The final answer is:

$\frac{v^{2} }{4u^{2} }$