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3 years ago

7

Christian is going to invest $310 and leave it in an account for 20 years. Assuming the interest is compounded daily, what inter

est rate, to the nearest hundredth of a percent, would be required in order for Christian to end up with $1,000?

1 answer:

S_A_V [24]3 years ago

6 0

Answer:

r=5.86%

Step-by-step explanation:

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Write the following equation in the general form Ax + By + C = 0.<br><br> 2x + y = 6

Roman55 [17]

Answer:

2x + y - 6 = 0

Step-by-step explanation:

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Given that a - b = 3 and ab=5, find, without the use of a calculator,<br> the value of a +b?

Angelina_Jolie [31]

Answer:

√29

Step-by-step explanation:

We are here given that ,

a - b = 3
ab = 5 .

Now square the first equation ,

⇒ a - b = 3

⇒ ( a - b)² = 3²

⇒ a² + b² - 2ab = 9

⇒ a² + b² - 2(5) = 9

⇒ a² + b² -10 = 9

⇒ a² + b² = 9 + 10

⇒ a² + b² = 19

Adding 2ab both sides ,

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3 years ago

Answer ASAP Find tanθ, where θ is the angle shown. Give an exact value, not a decimal approximation.

pychu [463]

<h3>Answer: 24/7</h3>

This is the same as writing the fraction $\frac{24}{7}$

=======================================================

Explanation:

Use the pythagorean theorem to find the missing side.

$a^2 + b^2 = c^2\\\\a^2 + 24^2 = 25^2\\\\a^2 + 576 = 625\\\\a^2 = 625 - 576\\\\a^2 = 49\\\\a = \sqrt{49}\\\\a = 7\\\\$

The horizontal side of the right triangle is 7 units long.

--------------------

The $\tan(\theta)$ is the ratio of the opposite over adjacent.

$\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\theta) = \frac{\text{vertical}}{\text{horizontal}}\\\\\tan(\theta) = \frac{24}{7}\\\\$

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2 years ago

What is the range of possible sizes for side x?

Anettt [7]

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

The value of third side should be lesser than the the sum of other two sides ~

$\qquad \sf \dashrightarrow \:x < 2.8 + 2.8$

$\qquad \sf \dashrightarrow \:x < 5.6$

and, value of third side should also be greater than the difference of other two sides ~

$\qquad \sf \dashrightarrow \: x> 2.8 - 2.8$

$\qquad \sf \dashrightarrow \:x > 0$

Now, combine the two inequalities, we will get ~

$\qquad \sf \dashrightarrow \:0 < x < 5.6$

I hope you got the required Answer ~

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3 years ago