Answer:

t=15.74
Step-by-step explanation:

Take ln on both sides

move the exponent 12t before ln as per log property

now divide the ln on both sides to make 12t alone

divide both sides on both sides

t=15.74
Answer: PROFITS After Take Two began renting DVDs at their video store, business soared. Between 2000 and 2005, profits increased at an average rate of $9,000 per year. Total profits in 2005 were $45,000. If profits continue to increase at the same rate, what will the total profit be in ...
Answer:
hello your question is incomplete attached below is the complete question
answer :
<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>
Step-by-step explanation:
<u>First determine the time it will take Daniel to reach the Boat and the jogging time</u>
time = distance / rate
where distance can be calculated using this equation: sin 53° = 400 / x
hence x ( distance ) = 500 ft
rate = 150
therefore Time ( t ) to reach boat = 500 / 150 = 3.33 minutes
Time for jogging ( as calculated ) = 3.69 minutes
therefore total time taken by Daniel = 3.33 + 3.69 = 7.02 minutes
<u>Finally determine if Daniel's sister is correct that he should have swam to the boat ramp and then jogged </u>
lets assume Distance to swim = x ( according his sister )
determine the value of x =
therefore X = 1456.02 feet
∴
Total time to be taken if Daniel follows his sister's instruction = 1456.02 / 150 = 9.71 minutes
<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>
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To find out how far Rachel walked round trip, we first need to find out how long the fastest way between her house and the park is. In the picture, we see a common Pythagorean Triple (the possibility for the sides of a right triangle). The triple with 3 and 4 is 3, 4, and 5. That means that the last side is 5. That means that the total distance is 3 + 4 + 5 km or 12 km. But, if you would like to solve this using the Pythagorean Theorem, one can do it as follows. Since the legs of the triangle are 3 and 4, the hypotenuse squared would be 3² + 4² = 9 + 16 = 25. To find the hypotenuse, we have to find the square root of 25 which is 5, which leads us to the same answer as before.
Answer:
parallel lines has same slope
we have
y = -3/2x+2
comparing with y = mx+c
m=-3/2
so answer is -3/2