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vredina [299]
3 years ago
10

A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 7 grams and the amo

unt of gold in each necklace is 20 grams. The jeweler used 109 grams of gold and made 4 more bracelets than necklaces. Determine the number of bracelets made and the number of necklaces made.
Mathematics
1 answer:
shusha [124]3 years ago
8 0

Answer:

Bracelets-7

Necklaces-3

Step-by-step explanation:

7 bracelets=49 grams

3 necklaces=60 grams

49+60=109

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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:

  • Principle amount P = ?

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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7 0
4 years ago
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