N; n+1; n+2 - 3 consecutive numbers
n(n + 1) = (n + 2)² - 19 |use a(b + c) = ab + ac and (a + b)² = a² + 2ab + b²
n² + n = n² + 4n + 4 - 19 |subtract n² from both sides
n = 4n - 15 |subtract 4n from both sides
-3n = -15 |divide both sides by (-3)
n = 5
n + 1 = 5 + 1 = 6
n + 2 = 5 + 2 = 7
Answer: 5; 6; 7.
Answer:
72
Step-by-step explanation:
0 < x < 1
Multiply the inequality by 100
0 < 100x < 100
0 < 72 < 100
Answer:
seventh interior angle=∠x=29°
Step-by-step explanation:
sum of interior angle of polygon is equal to 360°
let seventh angle of heptagon is x
∠x+47°+55°+62°+64°+54°+49°=360°
∠x=360°-(47°+55°+62°+64°+54°+49°)
∠x=360°-331°=29°
∠x=29°
seventh interior angle=∠x=29° answer
Answer: $15385 should be deposited.
Step-by-step explanation:
The principal was compounded monthly. This means that it was compounded 12 times in a year. So
n = 12
The rate at which the principal was compounded is 7.8%. So
r = 7.8/100 = 0.078
It was compounded for 4 years. Therefore,
t = 4
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. The total amount is given as $21000. Therefore
21000 = P (1+0.078/12)^12×4
21000 = P (1+0.078/12)^48
21000 = P (1+0.0065)^48
21000 = P (1.0065)^48
P = 21000/1.365
P = $15385
You can make about 11 burgers with that
