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Allisa [31]
2 years ago
11

How long will it take for $6400 to grow to $43,800 at an interest rate of 3.4% if the interest is compounded continuously?

Mathematics
1 answer:
andrew-mc [135]2 years ago
7 0

Answer:

57.53years to the nearest hundredth

Step-by-step explanation:

For compound interest,A=P(1+r/100)^t

where r=rate of interest

t= investment tenor

$43800=6400(1+3.4/100)^t

which simplifies to 57.5250≈57.53 to the nearest hundredth

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Determine whether 5, 238 is divisible by 2, 3, 4, 5, 6, 9, or 10.
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Answer:

2, 3, 6

Step-by-step explanation:

Simply try each value using long division.

2:

Since 5,238 ends in an even number, that automatically means it is divisible by 2.

5238/2=2619

Now for 3:

5238/3=1746 no remainder or decimal, so 3 also works

4:

You can either do long division again with 4, or you can see if 5238 divided by 2 (5238/2) is also divisible by 2. Since 2619 doesn't end in an even number, 4 is a no go.

Long division 5238/4=1309.5 decimal here, so 4 isn't an answer

5:

This is also very easy, simply check if the number ends in 0 or 5. Since 5,238 does not, 5 doesn't work either.

6:

You can do the same thing as with 4, except this time trying to find if 5238 divided by 3 (5238/3) is divisible by 2. Since 1746 ends in an even number, 6 also works.

Long division: 5238/6=873

9:

You can do the same thing as with 6, except this time trying to find if 5238 divided by 3 (5238/3) is divisible by 3.

1746/3=548 with a remainder of 2, which means 9 doesn't work

Long division: 5238/9=548.66 repeating

10:

Finally, 10 is another easy one. Simply check if the number ends in 0. 5,238 does not, so 10 doesn't work.

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2 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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