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pentagon [3]
3 years ago
7

3x to the 2 power -17+2x+5-x

Mathematics
1 answer:
rewona [7]3 years ago
5 0

Answer:  =3x^{2^{x-12}}

Step-by-step explanation:

3x^{2^{-17+2x+5-x}}

Simplify:

=3x^{2^{x-12}}

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Theodore invests a total of $17,500 in two accounts paying 2% and 12% annual interest, respectively. How much was invested in ea
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Answer:

11,500 at 2% and $6,000 at 12%.

Step-by-step explanation:

Let x represent amount invested at 2% and y represent amount invested at 12%.

We have been given that Theodore invests a total of $17,500 in two accounts. We can represent this information in an equation as:

x+y=17500...(1)

x=17500-y...(1)

We are also told that he invested $17,500 in two accounts paying 2% and 12% annual interest, respectively. After one year, the total interest was $950.00.

Interest earned at 2% in one year would be 0.02x.

Interest earned at 12% in one year would be 0.12y

0.02x+0.12y=950...(1)

Upon substituting equation (1) in equation (2), we will get:    

0.02(17500-y)+0.12y=950

350-0.02y+0.12y=950

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0.10y=600

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y=6000

Therefore, Theodore invested $6,000 at 12%.

Upon substituting y=6000 in equation (1), we will get:

x=17500-6000

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