10 squared plus 18 squared equals C squared is the set up
After solving you should get 20.59
Answer: B) 27 grams in all
Step-by-step explanation:
Given: The weight of each bright blue poisonous frog = 3 grams
By using the multiplication operator (x)
Then, the weight of 9 such frogs = 9 x (Weight of each frog)
⇒ The weight of 9 frogs = 9 x 3 grams
⇒ The weight of 9 frogs = 7 grams
Therefore, the correct option is B) 27 grams in all
Using the future value formula, it is found that you would need to deposit $272.95 in the account each month.
<h3>What is the future value formula?</h3>
It is given by:
![V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]](https://tex.z-dn.net/?f=V%28n%29%20%3D%20P%5Cleft%5B%5Cfrac%7B%281%20%2B%20r%29%5E%7Bn-1%7D%7D%7Br%7D%5Cright%5D)
In which:
- n is the number of payments.
For this problem, considering that there are monthly compoundings, the parameters are:
r = 0.08/12 = 0.0067, V(n) = 300000, n = 25 x 12 = 300.
Hence we solve for P to find the monthly payment.
![V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]](https://tex.z-dn.net/?f=V%28n%29%20%3D%20P%5Cleft%5B%5Cfrac%7B%281%20%2B%20r%29%5E%7Bn-1%7D%7D%7Br%7D%5Cright%5D)
![300000 = P\left[\frac{(1.0067)^{299}}{0.0067}\right]](https://tex.z-dn.net/?f=300000%20%3D%20P%5Cleft%5B%5Cfrac%7B%281.0067%29%5E%7B299%7D%7D%7B0.0067%7D%5Cright%5D)
1099.12P = 300000
P = 300000/1099.12
P = $272.95.
You would need to deposit $272.95 in the account each month.
More can be learned about the future value formula at brainly.com/question/24703884
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Answer:
Step-by-step explanation:
The diagonal of a square is the same thing as the hypotenuse of a right triangle. This right triangle is a 45-45-90 since the sides are made up of sides of a square which all measure the same length, x.
Using Pythagorean's Theorem,
and
and
and taking the square root of both sides gives us that
which simplifies to
I'm assuming that your teacher has told you about rationalizing the denominator when you've got a radical there, so we will do that by multiplying by
:
which gives us
