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cestrela7 [59]
3 years ago
10

Please please please help!! i’ll mark the brainliest and give 15 points!!!!

Mathematics
1 answer:
Korolek [52]3 years ago
3 0

9514 1404 393

Answer:

  -108

Step-by-step explanation:

About the easiest way to do this for small values of n is to compute each of the terms using the given recurrence relation.

  a_1=4\\\\a_2=-3a_1=-3(4)=-12\\\\a_3=-3a_2=-3(-12)=36\\\\a_4=-3a_3=-3(36)=-108\\\\\boxed{a_4=-108}

_____

<em>Alternate solution</em>

You recognize that the recurrence relation describes a geometric sequence with a first term of 4 and a common ratio of -3. The n-th term of a geometric sequence is ...

  a_n=a_1\cdot r^{n-1} \qquad\text{for first term $a_1$ and common ratio $r$}

Then the 4th term will be ...

  a_4=4\cdot(-3)^{4-1}=4\cdot(-27)=-108

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3 years ago
A car travels at a constant speed of 60 miles per hour. The distance, d, the car travels in miles is a function of time, t, in h
scZoUnD [109]

The equation of distance traveled by the car is d(t) = 60 · t, for t ≥ 0.

<h3>What is the equation of the distance travelled by a car?</h3>

In accordance with the statement, car travels in a <em>straight</em> line at <em>constant</em> speed. The distance traveled (d), in miles, is equal to the product of the speed (v), in miles per hour, and time (t), in hours:

d(t) = v · t     (1)

If we know that v = 60 mi/h, then the equation of distance traveled by the car is d(t) = 60 · t, for t ≥ 0.

<h3>Remark</h3>

The statement is incomplete and complete form cannot be found. Then, we decided to complete the statement by asking for the equation that describes the distance of the car.

To learn more on linear equations: brainly.com/question/11897796

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8 0
2 years ago
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kompoz [17]

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3 years ago
Solve for m:<br> n + m - a = d
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3 0
4 years ago
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PAULA BROUGHT $39.63 WORTH OF GROCERIES SHE GAVE TELLER TWO TWENTY DOLLARS BILLS WHAT IS THE FEWEST COIN SHE CAN GET IN CHANGE
MakcuM [25]

Answer:

4 coins

Step-by-step explanation:

First, let's find out how much she gave the teller:

2($20)=$40

Now, let's find out how much change the teller owes her:

$40.00-$39.63=$0.37 or 37 cents

The largest coin (under 37 cents), is a quarter which is worth 25 cents...

37-25=12 cents

The largest coin (under 12 cents), is a dime which is worth 10 cents...

12-10=2

The largest coin (under 2 cents), is a penny which is worth 1 cent...

2-1=1

And one more penny...

1-1=0

Therefore the fewest amount of coins she can get in change are a quarter, a dime, and two pennies, which is 4 coins.

7 0
2 years ago
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