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DiKsa [7]
3 years ago
6

Help please, read question fully. geometry

Mathematics
1 answer:
aleksley [76]3 years ago
3 0

Answer:

  30 inches

Step-by-step explanation:

Assuming the lengths are measured when B lies between A and C on a line, the segment addition theorem applies:

  AC = AB +BC

  42 = AB + 12 . . . . . fill in the given numbers

  30 = AB . . . . . . . . . subtract 12

The length of AB is 30 inches.

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3 years ago
Could someone help me understand how to solve this?
monitta

Answer:

Amount in 4% account: $550

Step-by-step explanation:

Use simple interest formula I=P\cdot r\cdot t, where

I = interest

P = principal

r = rate (as decimal)

t = time.

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<u>5% account:</u>

P_2=1,500-x\\ \\r_2=0.05\\ \\t_2=1,

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I_2=(1,500-x)\cdot 0.05\cdot 1=0.05(1,500-x)

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I_1+I_2=69.50\\ \\0.04x+0.05(1,500-x)=69.50\\ \\4x+5(1,500-x)=6,950\\ \\4x+7,500-5x=6,950\\ \\4x-5x=6,950-7,500\\ \\-x=-550\\ \\x=550\\ \\1,500-x=1,500-550=950

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Amount in 5% account: $950

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