question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested
Answer:
5.2 years
Step-by-step explanation:
Applying
A = P(1+R/100)ⁿ.......................... Equation 1
Where A = amount, P = principle, R = rate, n = time.
From the question,
Given: A = $149.18, P = $100, R = 8%
Substitute these values into equation 1 and solve for n
149.18 = 100(1+8/100)ⁿ
149.18/100 = (1+8/100)ⁿ
1.4918 = (1+0.08)ⁿ
1.4918 = (1.08)ⁿ
Taking the Logarithm of both side
Log(1.4918) = Log(1.08)ⁿ
Log(1.4918) = nLog(1.08)
n = Log(1.4918)/Log(1.08)
n = 0.1737/0.0334
n = 5.2 years.
Replace x with the value in the table and solve for y
-3: 2(-3)/3 + 4 = -6/3 + 4 = -2+4 = 2
0: 2(0)/3 +4 = 0/3 + 4 = 0+4 = 4
3: 2(3)/3 + 4 = 6/3 + 4 = 2 + 4 = 6
6: 2(6)/3 + 4 = 12/3 + 4 = 4+4 = 8
<span>Simplifying
3(n + 11) + -5n = -2(n + -12) + 9
Reorder the terms:
3(11 + n) + -5n = -2(n + -12) + 9
(11 * 3 + n * 3) + -5n = -2(n + -12) + 9
(33 + 3n) + -5n = -2(n + -12) + 9
Combine like terms: 3n + -5n = -2n
33 + -2n = -2(n + -12) + 9
Reorder the terms:
33 + -2n = -2(-12 + n) + 9
33 + -2n = (-12 * -2 + n * -2) + 9
33 + -2n = (24 + -2n) + 9
Reorder the terms:
33 + -2n = 24 + 9 + -2n
Combine like terms: 24 + 9 = 33
33 + -2n = 33 + -2n
Add '-33' to each side of the equation.
33 + -33 + -2n = 33 + -33 + -2nCombine like terms: 33 + -33 = 0
0 + -2n = 33 + -33 + -2n
-2n = 33 + -33 + -2n
Combine like terms: 33 + -33 = 0
-2n = 0 + -2n
-2n = -2n
Add '2n' to each side of the equation.
-2n + 2n = -2n + 2n
Combine like terms: -2n + 2n = 0
0 = -2n + 2n
Combine like terms: -2n + 2n = 0
0 = 0
Solving
0 = 0
<span>Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.</span></span>
Range. Range is the difference between the largest and smallest number in a set of numbers.
