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Andru [333]
3 years ago
8

How much money will there be in an account at the end of 10 years if $3000 is deposited at 3% interest compounded

Mathematics
1 answer:
BaLLatris [955]3 years ago
6 0

Answer:

$4040.57

Step-by-step explanation:

A=P(1+(r/n))^nt

P = Principal = 3000

r = rate = 0.03

n = no. times payed each year = 2

t = years = 10

A = 3000(1 + (0.03/2))^(2x10)

A = 3000(1.015)^20

A = 4040.57 (2.d.p)

Hope this helped!

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3 years ago
A certain positive integer has exactly 20 positive divisors. What is the smallest number of primes that could divide the integer
Alika [10]

As per my explanation to (b) above, the largest number of primes that could factor such a number is 4.

Note that  2,3,5 and 7   are the smallest primes, then use the reasoning from

(b) above. we are looking for four exponents, that, when 1 is added to each and all are multiplied together, would equal 20.

But no such integers  k, l, m, and n  exist such that (k + 1)(l + 1)(m + 1) (n + 1)  = 20 where k, l,m, and n ≥ 1 so this number, whatever it is, can't have 4 prime factors

Let's drop 7 out of the mix and suppose it has just 3 prime factors 2, 3, and 5 again we are looking for three exponents,  that, when 1 is added to each and all are multiplied together, would equal 20.  Put another way, we are looking for k, l and m ≥ 1   such that (k + 1)(l + 1)(m + 1) = 20

Note that the  only possibility here  is when we have 2 *2 *5  = 20 and the smallest possible product would be 2^(4 )* 3^(1) * 5^(1) =  2^4 * 3 * 5 = 240

Now......the only remaining possibility is  that this number is composed of the two smallest primes, 2 and 3,  and we are looking for  some k  and l ≥ 1 such that (k + 1)(l + 1) = 20 clearly, the only possibilities  are when k = 4 and l = 5, or vice-versa

So this number would factor as either 2^3 * 3^4   = 648  or 2^4 * 3^3 = 432 and both are > 240.

Learn more about positive integers at

brainly.com/question/1367050

#SPJ4

8 0
1 year ago
Can someone help me with this, please & thanks. :)
Rasek [7]
Multiply bath sides by (-13)


Step 1:(-13).a/(-13) <= -16(-13) ===> . Mistake since she the < sign into >

Step 2: a<=208  is the right answer


Step 3: The line should go from 208 to the left & not to the right
7 0
3 years ago
To make rice you need to use 1 cup of rice for every 2 cups of water. How many cups of rice will be needed for 1 cup of water?
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1/2 a cup

Step by step example:

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What is the solution of the equation 3x – 1 = 7? Round your answer to the nearest ten-thousandth
tiny-mole [99]

Answer:

x = 2.6667 (rounded)

Step-by-step explanation:

Move the constant to the right side and change its sign.

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Divide both sides by 3.

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Hope this helps.

3 0
3 years ago
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