The answer is x = 62. YOU'RE WELCOME :D
Answer:
c = √746
Step-by-step explanation:
You need to use Pythagorean Theorem (a² + b² = c²) in order to solve for the hypotenuse.
25² + 11² = c²
625 + 121 = c²
746 = c²
√746 = c
The equations which gave the same solution as; 2.3p – 10.1 = 6.5p – 4 – 0.01p are;
- 2.3p – 10.1 = 6.49p – 4 and
- 230p – 1010 = 650p – 400 – p
<h3>Which equations have the same solution as the given equation?</h3>
It follows from the answer choices that the equation; 2.3p – 10.1 = 6.49p – 4 is equivalent to the given equation as the algebraic sum of p variables is evaluated on the right hand side.
The second equation; 230p – 1010 = 650p – 400 – p also is equivalent to the given equation, when multiplied through by 100.
Read more on equivalent equations;
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Answer:
The final value would be 52,693.61 dollars.
Step-by-step explanation:
The money increased 17% every year for the next 15 years. It means the money was invested at compound interest and we can use Future Value formula given as follows:-
FV = P*(1 + r)ⁿ
where FV = Future value of money, P = Principal amount invested
r = rate of interest (in decimals), n = time period (in years).
Given information is P = $5,000, r = 17% = 0.17, n = 15 years.
Using the information in the formula, FV = 5000 * (1 + 0.17)¹⁵
FV = 5000 * (1.17)¹⁵
FV = 5000 * 10.53872146
FV = 52,693.6073
FV ≈ 52,693.61 dollars.
Hence, the final value would be 52,693.61 dollars.
Answer:
d) 6 ≥ n + 4
Step-by-step explanation:
Let n be the unknown number,
4 more than n = 4 + n
In inequality we use '≥' to represent greater than equal to or at least,
Thus,
Six is at least four more than a number.
⇒ 6 ≥ 4 more than n
⇒ 6 ≥ 4 + n
Which is the required inequality that represents the given statement,
OPTION d) is correct.
