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Nadya [2.5K]
3 years ago
6

The game of Nudge is played with a set of 15 pieces called 'bumps! Some bumps weigh 15 g, some weigh 30 g and some weigh 40g A f

ull set of bumps has a total
weight of 420 g and contains a different number of each type.
How many 30 g bumps are there in a full set of 15 bumps
Mathematics
1 answer:
labwork [276]3 years ago
3 0
Some bumps weigh 15g, some weigh 30g and some weigh 40g. A full set of bumps has a total weight of 420g and contains a different number of each type. How many 30 g bumps are there in a full set of 15 bumps? the answer is 8.
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How much money should be deposited today in an account that earns 6% compounded monthly so that it will accumulate to $1000000 (
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Answer:

The principal investment required to get  a total amount of $ 1,000,000.00  from compound interest at a rate of 6% per year  compounded 12 times per year  over 45 years  is $ 67,659.17.

Step-by-step explanation:

Given

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To determine:

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Using the formula

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

P\:=\frac{A}{\left(1\:+\:\frac{r}{n}\right)^{nt}}

substituting A = 1000000, r =  0.06, t = 45, and n = 12

P\:=\frac{1000000}{\left(1\:+\:\frac{0.06}{12}\right)^{12\cdot 45}}\:

    =\frac{1000000}{1.005^{540}}

P = 67659.17 $

Therefore, the principal investment required to get  a total amount of $ 1,000,000.00  from compound interest at a rate of 6% per year  compounded 12 times per year  over 45 years  is $ 67,659.17.

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