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almond37 [142]
3 years ago
11

What is the solution of the inequeality 3t+>6

Mathematics
2 answers:
frutty [35]3 years ago
6 0
Number of solutions: One
Actual Answer: t >2

(open image for the steps to find out our answer )!


Good Luck!

stepladder [879]3 years ago
5 0
Simplify it by getting the variable t on one side of the inequality alone and everything else on the opposite side.

The variable t is being multiplied by 3. Reverse the operation by dividing both sides of the inequality by 3.

3t / 3 > 6 / 3
t > 2

To be in the solution set, t has to be greater than 2.

Or in interval notation: (2, ∞)

Or in a set builder notation: {t | t ∈ R, t > 2}
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Answer:

a) P= $56,972.5

b) A=$1,26,792.3

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Given Data:

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P=\int\limits^n_0 {2000e^{-0.08t} } \, dt

Now integrate

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P= -\frac{2000}{0.08} (e^{-0.08*10}-e^{-0.08*0})

P= -\frac{2000}{0.08} (e^{-0.8}-e^{0})

P= -\frac{2000}{0.08} (0.4493-2.7282)

P= -\frac{2000}{0.08} (-2.2789)

P= -25000(-2.2789)

P= $56972.5

(b) to find the accumulated amount of money at t=10

A=P(e^{rt} )

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A=56972.5(e^{0.08*10} )

A=56972.5(e^{0.8} )

A=56972.5(2.2255 )

A=$1,26,792.3

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