Answer:approximately 50 years.
Step-by-step explanation:
Let $P represent the initial amount that she deposited. It means that principal,
P = $P
It was compounded annually. This means that it was compounded once in a year. So
n = 1
The rate at which the principal was compounded is 1.4%. So
r = 1.4/100 = 0.014
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. For the initial amount to double, it means that
A = 2P
Therefore
2P = P (1+0.014/1)^1×t
2P/P = (1.014)^t
2 = (1.014)^t
Taking log to base 10 of both sides, it becomes
Log 2 = log 1.014^t
Log 2 = tlog 1.014
0.301 = 0.006t
t = 0.301/0.006 = 50.2 years
U r going to subtract 3 from each side of the equation....leaving you with :
x^2 + 2x = -3
Step-by-step explanation:
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Answer:
The numbers are 44 and 46
Step-by-step explanation:
Let
x, x+2 ----> the two consecutive positive even integers
we know that

Solve the quadratic equation using a graphing calculator
The solution is x=44
see the attached figure
x+2=44+2=46
therefore
The numbers are 44 and 46