Answer:
a = 6, b = 8, and c = 10.
Step-by-step explanation:
You can easily use the Pythagorean Theorem to solve all of these.
a = 4; b = 6; c = 8... 4^2 + 6^2 = 16 + 36 = 52. 8^2 = 64. 52 is not equal to 64, so the first choice is not a right triangle.
a = 6; b = 8; c = 10... Well this is a multiple of the 3-4-5 Pythagorean triple, so this is a right triangle.
a = 5; b = 6; c = 761... 5^2 + 6^2 = 25 + 36 = 61. 761^2 = 579121, which is not equal to 61, so the third choice is not a right triangle.
a = 6; b = 9; c = 12... 6^2 + 9^2 = 36 + 81 = 117. 12^2 = 144, which is not equal to 117, so the fourth choice is not a right triangle.
The only case where there is a right triangle is the second choice, where a = 6, b = 8, and c = 10.
Hope this helps!
The function that gives the shares received by a post whereby each friend
shares the post a constant multiple of times each day is exponential.
<h3>Responses;</h3>
- Ben's social media post: <u>2 × 3ⁿ</u>
- Carter's social media post: <u>10 × 2ⁿ</u>
<h3>Methods by which the above expressions are obtained:</h3><h3 /><h3>Ben's social media posts;</h3><h3 /><h3>Given:</h3>
The given table of values for Ben's social media post is presented as follows;
![\begin{tabular}{|c|c|}Day&Number of shares\\0&2\\1&6\\2&18\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%7B%7Cc%7Cc%7C%7DDay%26Number%20of%20shares%5C%5C0%262%5C%5C1%266%5C%5C2%2618%5Cend%7Barray%7D%5Cright%5D)
<h3>Solution:</h3>
The number of shares triples everyday, therefore, the number of shares form a geometric progression, with a common ratio of r = 3, and a first term of <em>a</em> = 2
The function for the number of shares of Ben's post is, tₙ = a·rⁿ
Which gives;
- Ben's social media post shares on day <u><em>tₙ</em></u><u> = 2·3ⁿ</u>
<h3>Carter's social media posts;</h3><h3 /><h3>Given;</h3>
Number of friends Carter shared his post with = 10 friends
Number of people each of the 10 friends shared with each day = 2 people
<h3>Solution;</h3>
The exponential function for number of shares received by Carter is therefore, <u>tₙ = </u><u>10×2ⁿ</u>
- Carter's social media post shares on day <em>n</em>: <u>10 × 2ⁿ</u>
Learn more about exponential functions here:
brainly.com/question/1530446
Answer:
?
Step-by-step explanation:
COMPOUNDED
not simple interest,
compound interest is neat since you earn interest on the interest you earned
ok so what you use is F=Pe^(rt)
F=future or ending amount
P=present amount
e=base of the natural log (some digits are 2.71828182845)
r=rate in decimal
t=time in years
presen amount is 400
rate is 9% or 0.09
time is 3 years
F=400e^(0.09*3)
F=400e^(0.27)
F=523.986
round
F=523.99
