Answer:
your selected answer is correct
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.
Mathematically speaking, the linear pair postulate and linear pair theorem both express the same thing.
- A linear pair is made up of two angles, and the sum of their measures is 180°.
<h3>What is the formula for linear pairs?</h3>
- A two-variable linear equation of the form axe + by + c, with a, b, and c all being real numbers and not equal to zero.
- The Transitive Property states that if all real numbers x, y, and z are equal, then x=z.
- Substituting characteristics. If x=y, then x can be swapped to y in any equation or formula.
- Mathematically speaking, the linear pair postulate and linear pair theorem both express the same thing.
- A linear pair is made up of two angles, and the sum of their measures is 180°.
- Line pairs can be congruent.
- Adjacent angles are joined by a vertex.
- Angles that are similar cross across.
- A linear pairing is unnecessary.
Therefore, mathematically speaking, the linear pair postulate and linear pair theorem both express the same thing.
- A linear pair is made up of two angles, and the sum of their measures is 180°.
To learn more about the Linear pair theorem refer to:
brainly.com/question/5598970
#SPJ13
Answer:
No
Step-by-step explanation:
In a dilation, size is not preserved. Triangles must have the same shape and size in order to be congruent. If it is dilated by 2/3, then it gets smaller, and is therefore not the same size.
Answer:
Step-by-step explanation:
The sample proportion 
The null hypothesis and the alternative hypothesis:
Thus; the test statistics is:
P-value = 2 × P(Z< - 1.768)
From the z tables
P-value = 2 × 0.03853
P-value = 0.07706
Thus, the p-value is 0.05 < P-value < 0.10
