Answer:
×< -5
Step-by-step explanation:
-6x>30 reverse the sign
x< -5
Answer:
$102,677.20
Step-by-step explanation:
The present value of an annuity due is determined by the following expression:
Where 'P' is the amount of each payment received, 'r' is the interest rate on the investment and 'n' is the number of yearly payments.
With 20 annual payments of $10,000 at a rate of 8.5%, the present value is:
The present value of your winnings is $102,677.20.
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Answer:
The right answer is A = 49.6 π ft^2
Step-by-step explanation:
<em><u>(Let pi = 3.1415926535898)</u></em>
<em>The formula for calculating the surface area of a cylinder is A=2πrh+2πr^2</em>
<em>So if r = 4 ft</em>
<em>and h = 2.2 ft</em>
<em>A= 2π(4)(2.2)+2π(4)^2</em>
<em>Once we've plugged in our formulas our final surface area is A =</em><em> 49.6 π ft2</em>
<em />
<em>Hope this helped you calculate the surface area! ◃┆◉◡◉┆▷ Sincerely, Kelsey from Brainly.</em>
<em />
<em>~ #LearnWithBrainly ~</em>
Answer:
P = 3x + 3 - x²
Step-by-step explanation:
<h2>
Step-by-step explanation:</h2>
As per the question,
Let a be any positive integer and b = 4.
According to Euclid division lemma , a = 4q + r
where 0 ≤ r < b.
Thus,
r = 0, 1, 2, 3
Since, a is an odd integer, and
The only valid value of r = 1 and 3
So a = 4q + 1 or 4q + 3
<u>Case 1 :-</u> When a = 4q + 1
On squaring both sides, we get
a² = (4q + 1)²
= 16q² + 8q + 1
= 8(2q² + q) + 1
= 8m + 1 , where m = 2q² + q
<u>Case 2 :-</u> when a = 4q + 3
On squaring both sides, we get
a² = (4q + 3)²
= 16q² + 24q + 9
= 8 (2q² + 3q + 1) + 1
= 8m +1, where m = 2q² + 3q +1
Now,
<u>We can see that at every odd values of r, square of a is in the form of 8m +1.</u>
Also we know, a = 4q +1 and 4q +3 are not divisible by 2 means these all numbers are odd numbers.
Hence , it is clear that square of an odd positive is in form of 8m +1
