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pantera1 [17]
3 years ago
13

Three students need to produce a prime factorization of 48. Donna states that the first factors in the tree should be 6 and 8. L

arry states that the first factors in the tree should be 4 and 12. Trish states that the initial factors of 48 do not affect the prime factorization. Explain why Trish is correct.
Mathematics
2 answers:
Anettt [7]3 years ago
8 0
Trish will be correct !!
zhannawk [14.2K]3 years ago
7 0
Trish is correct because whatever number starts the tree equals 48 anyway. The numbers that matters is if you follow through when factoring out the whole tree of 48.
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Answer:

The amount invested in bonds = 35,000

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Step-by-step explanation:

The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds b, and the amount invested in CD d, then we have:

b+d=50,000 this says the total amount Daniela invested is $50,000.

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b=5,000+2d.

Thus, we have two equations and two unknowns b and d:

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and we solve this system by substituting b from the second equation into the first:

b+d=50,000\\5,000+2d+d=50,000\\3d=45,000\\\\\boxed{d=15,000}

or, the amount invested in CD is $15,000.

With the value of d in hand, we now solve for b from equation(2):

b=5,000+2d\\b=5000+2(15,000)\\\boxed{b=35,000}

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