Olcquations

Mathematics

1 answer:

zaharov [31]3 years ago

8 0

Answer:

$600 at 8%
$2400 at 3%

Step-by-step explanation:

You have the right numbers, but the wrong accounts.

Let x represent the amount invested at 8% (the highest rate). Then the total interest is ...

.08x +.03(3000 -x) = .04(3000)

.05x = .01(3000) . . . . subtract .03(3000)

x = 3000/5 = 600

Matthew invested $600 at 8%, $2400 at 3%.

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<em>Comment on checking your answer</em>

You may notice that the overall interest rate is 4%, closer to 3% than to 8%. That means more of the money must be invested at 3% than at 8%.

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What is the length of BC? Round to the nearest tenth.

emmasim [6.3K]

9514 1404 393

Answer:

Step-by-step explanation:

The relevant trig relation is ...

Sin = Opposite/Hypotenuse

sin(65°) = BC/BA

BC = BA·sin(65°) ≈ (16 cm)·0.9063 ≈ 14.501 cm

BC ≈ 14.5 cm

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<em>Additional comment</em>

As is often the case, a simple estimate is all that is needed to identify the correct answer choice.

You only need to know how the long side of a right triangle compares to the others. In an isosceles right triangle, both legs are √2/2 ≈ 0.71 times the hypotenuse. The long side of a right triangle will never be shorter than that. This means the long side must be greater than about 11.2, and cannot be greater than 16. There is only one answer choice in that range.

4 0

3 years ago

Simplifying expressions 6k-7-19+k

JulijaS [17]

Answer:

6k-7-19+k

7k-26

Answer = 7k-26

8 0

3 years ago

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