Two thirds of a number is 46, what is the number
1 answer:
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Option A: 4 is the solution
Explanation:
The given expression is
We need to determine the solution of the expression.
<u>Solution:</u>
The solution of the expression can be determined by solving the expression for t.
Let us solve the given expression.
Applying the log rule, if then
Thus, we have;
Adding both sides of the equation by 4t, we get;
Adding both sides of the equation by 3, we have;
Dividing both sides of the equation by 5, we get;
Hence, the value of t is 4.
Therefore, the solution of the given expression is 4.
Thus, Option A is the correct answer.
7) We are given 
. Recall that e is a real, albeit irrational, number, and it is given that G is the final number of bacteria, A is the initial, t is the time.
We want to solve for t when G = 700 and A = 4.
We substitute into the equation and get
, which is 
.
To solve for t, we need to remember that the natural logarithm is the inverse of an exponent with base e. We take the ln of both sides like so.
8) We are solving the equation for t when P = 5,000, r = 2% = 0.02, n = 12 (it's compounded 12 times in a year), and A = 10,000.
We first divide both sides by 5,000. Then, we take the natural log (ln) of both sides and simplify to solve for t.
t = 34.686 years
We want to solve for t when G = 700 and A = 4.
We substitute into the equation and get
To solve for t, we need to remember that the natural logarithm is the inverse of an exponent with base e. We take the ln of both sides like so.
8) We are solving the equation for t when P = 5,000, r = 2% = 0.02, n = 12 (it's compounded 12 times in a year), and A = 10,000.
We first divide both sides by 5,000. Then, we take the natural log (ln) of both sides and simplify to solve for t.
t = 34.686 years