FIRST TO HELP IS BRAINLIEST

Mathematics

1 answer:

Julli [10]3 years ago

7 0

Answer:

(0,2)

Step-by-step explanation:

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Please help me on this moby max question

pantera1 [17]

The answer would be 49 + 42b if you multiply 7*7 and 7*6b

7 0

3 years ago

After a new $28,000 car is driven off the lot, it begins to depreciate at a rate of 18.9% annually.

REY [17]

Answer:

C(t) = $28,000(0.811)^t (Answer A)

Step-by-step explanation:

The value of the car is decreasing. Thus, by the end of the first year of ownership, the car will have the value $28,000(1 -0.189)^1, where the "-0.189" represents DECAY instead of GROWTH.

Please use " ^ " to indicate exponentiation.

Then the desired formula is C(t) = $28,000(0.811)^t (Answer A)

4 0

3 years ago

We are standing on the top of a 320 foot tall building and launch a small object upward. The object's vertical altitude, measure

STALIN [3.7K]

Answer:

The highest altitude that the object reaches is 576 feet.

Step-by-step explanation:

The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be $h(t) = -16\cdot t^{2} + 128\cdot t + 320$ , the first and second derivatives are, respectively:

First Derivative

$h'(t) = -32\cdot t +128$

Second Derivative

$h''(t) = -32$

Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:

$-32\cdot t +128 = 0$

$t = \frac{128}{32}\,s$

$t = 4\,s$ (Critical value)

The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:

$h(4\,s) = -16\cdot (4\,s)^{2}+128\cdot (4\,s) +320$