You can transform 4x + 12=9x - 3 again into a simpler form by subtracting 4X from both sides to get 12=5x - 3. If you substitute
1 answer:
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Answer:
and
Step-by-step explanation:
Assume that Mike bought only cookies and hot dogs.
The total can be represented as:
--- (1)
And the amount spent can be represented as:
--- (2)
Required
Determine the system of equation
Let c represents the number of cookies and h, number of hot dogs.
implies
And
Cost of cookies = 0.75 * c
Cost of hot dogs = 1.10 * h
So, we have:
Hence, the equations are:
and
Solving for c and h
Make c the subject in
Substitute 5 - h for c in
Collect Like Terms
Solve for h
-- approximated
Recall that:
Answer:
a) growth
b) $500
c) 6% = 0.06
d)
e) $595.51
Step-by-step explanation:
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<u>Part (a)</u>
Exponential GROWTH, since interest is applied to the account each year.
<u>Part (b)</u>
Initial amount = $500
<u>Part (c)</u>
Growth factor = 6% = 0.06 (in decimal form)
<u>Part (d)</u>
General form of exponential growth function:
where:
- a = initial amount
- r = rate of growth (in decimal form)
- x = time (in years)
Given:
- a = 500
- r = 0.06
<u>Part (e)</u>
when x = 3