The answer is C for this question
Answer:
X= 1 AND 13
Step-by-step explanation:
x2+14x = -13
by completing the square method
you add the square of half the coefficient of b to both sides
which is (14/2)^2
x^2+14x+(7^2) = -13 +(7^2)
x^2 + 7^2 = -13 + 49
x^2 + 7^2 = 36
(x + 7)^2 = 36
find the square root of both sides
(x+7) = + or - 6
x=7-6 ; 1
or
x= 7+6 ; 13
(100^5) * 4000 = 10000000000 * 4000 = <span>4 * 10^13</span>

Step-by-step explanation:

Answer:
It will take 4.84 years
Step-by-step explanation:
The initial amount that Matt invested was $1669. It means that principal is
P = 1669
It was compounded 12 times per year. So
n = 12
The rate at which the principal was compounded is 2%. So
r = 2/100 = 0.02
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years.
A = 1,844.38
Therefore
1,844.38 = 1669(1+0.02/12)^(12×t)
1,844.38/1669 = (1.0017)^(12t)
1.1051 = (1.0017)^(12t)
Taking log to base 10 of both sides, it becomes
Log 1.1051 = log 1.0017^(12t)
Log 1.1051 = 12tlog 1.0017
0.043 = 0.00074 × 12t
0.043 = 0.00888t
t = 0.043/0.00888
t = 4.84 years