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2 years ago

B is opposite __________.

Mathematics

1 answer:

sukhopar [10]2 years ago

3 0

Answer: OPTION D.

Step-by-step explanation:

By definition, the opposite side of a triangle is that side that is on the opposite direction of an angle.

As you can see, the triangle ABC shown in the figure attached in the problem has the angles: ∠A, ∠B and ∠C.

Then, the angle ∠A is opposite to BC, the angle ∠B is opposite to AC and the angle ∠C is opposite to AB.

Therefore, you can conclude that the answer is the option D, which is: AC.

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Answer:

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In the second account was invested $\$4,000$ at 5%

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

First account

$t=1 years\\ P=\$x\\ r=0.03$

substitute in the formula above

$I=x(0.03*1)$

$I=0.03x$

Second account

$t=1 years\\ P=\$(7,000-x)\\ r=0.05$

substitute in the formula above

$I=(7,000-x)(0.05*1)$

$I=350-0.05x$

Remember that

The interest is equal to $\$290$

Adds the interest of both accounts

$0.03x+350-0.05x=\$290$

$0.05x-0.03x=350-290$

$0.02x=60$

$x=\$3,000$

therefore

In the first account was invested $\$3,000$ at 3%

In the second account was invested $\$7,000-\$3,000=\$4,000$ at 5%

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