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Lady bird [3.3K]
3 years ago
9

What is the compound interest if $480 is invested for 12 years at 6% compounded continuously?

Mathematics
1 answer:
Anna [14]3 years ago
6 0

Answer:

<em>$506.13</em>

Step-by-step explanation:

A = Pe^{rt}

A = $480 \times e^{0.06 \times 12}

A = $986.13

The account will be worth $986.13.

The interest earned is $986.13 - $480 = $506.13.

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Answer:B

Step-by-step explanation:

The quadratic formula can be used to solve an equation only if the highest degree in the equation is 2

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3 years ago
PLEASE HELP ME! 100 POINTS! ;( question 10, 11, 12, 13, 14, 15. I have a f in this class and could use your help a lot! I will l
MatroZZZ [7]

There are a lot of problems here so I'll try to be brief with each one so I don't add a lot of clutter

Problem 10) This is <u>arithmetic</u> because we subtract 6 from each term to get the next. This is the same as adding on -6. The common difference is d = -6. The first term is a = 1

Problem 11) <u>Neither</u>. The distance from 3 to 3/2 = 1.5 is 1.5 units, but the distance from 1.5 to 1 is 0.5 units. This implies there is no common difference value. The sequence is not arithmetic because of this. It's also not geometric either. To go from 3 to 3/2, we multiply by 1/2. But then going from 3/2 to 1, we multiply by 2/3. There is no common ratio r value.

Problem 12) This sequence is <u>geometric</u>. We divide each term by 3 to get the next, or put another way, we multiply each term by 1/3 to get the next term. The common ratio is r = 1/3. The first term is a = 108.

Problem 13) <u>Neither</u>. This is because going from term to term, we do not add the same amount each time. Example: from -2 to 4 we add 6, but then from 4 to -6 we add -10. So the sequence is not arithmetic. It's also not geometric either because we dont multiply by the same term each time. Eg: from -2 to 4, we multiply by -2; but from 4 to -6 we multiply by -1.5

Problem 14) The next three terms are: <u>1, 1/4, 1/16</u>. This is found by multiplying each term by the common ratio r = 1/4, or you can think of dividing each term by 4. To get this common ratio, pick any term you want and divide it by its previous term. Example: term2/term1 = 16/64 = 1/4 = common ratio.

Problem 15) The next three terms are: <u>-432, 2592, -15552</u>. You multiply each term by the common ratio -6. Like with the previous problem, we divide any term over its previous one to get the common ratio, so for example, term2/term1 = -12/2 = -6 = common ratio.

3 0
3 years ago
The following table shows the number of feet a bird flies above the ground as a function of time: (In the picture)
Otrada [13]

Answer:

  D.)  (14, 0); the time it takes for the bird to reach the ground

Step-by-step explanation:

The attached graph shows a plot of the table values and the two offered solution options.

The dependent variable in this scenario is the bird's height above the ground. When that is zero, the bird is on the ground. This fact makes choices B and C seem ridiculous.

We note from the table and graph that the bird is on a path that decreases in height by 3 feet every 2 seconds. If the bird continues that rate of descent, it will reach the ground after 14 seconds.

That is, its (time, height) pair will be (14, 0), matching choice D.

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4 0
3 years ago
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A single die is rolled. Find the probability of getting an odd number or a number less<br> than 5.
Eddi Din [679]

Answer:

Answer:Rolling a odd number is 1/5 and rolling a number less than five is 3/5

Step-by-step explanation:

3 0
2 years ago
What’s 1.2983 rounded to the nearest hundredth
KengaRu [80]
1.30 :)
All you have to do is see if the number on your left is greater than 5 or not if it’s is round up 1 if not it stays the same !
Hope this helped !!!
3 0
3 years ago
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