The future amount of Lynnes retirement account can be computed using the formula of amortization or annuity:
P = A[(1+i)^n-1)]/(i)
A= amortization
i= 5.5%
n = 40*12 = 480
Subsituting the variables in th formula, Future amount of Lynne in 40 years is equal to
P = $29,082.71
Answer:
The three consecutive integers are 5,6,7
Step-by-step explanation:
Let the three consecutive integers be represented as x,x+1,x+2
As per the requirement, largest integer is 3 less than twice the smallest.
=> x+ 2 = 2x -3
=> 2x -x = 2+3
=> x= 5
So the three integers are 5,6,7
Verification:
Largest integer = 7
Smallest integer = 5
2 * smallest integer - 3 = 2* 5 - 3 = 7
Largest integer is also 7.
So the required condition in the question is satisfied by these three integers.
(9/10)x3 feet
= (9/10)x36 inches
= 32.4 inches
Answer:
C. (-2,4)
Step-by-step explanation:
We have been given a function
and we are asked to find the vertex of our absolute value function.
The rules for the translation of a function are as follows:



Upon comparing our absolute function with above transformations we can see that our function is shifted to two units right of the origin(0,0) so x coordinate of our absolute function will be -2.
Our function is shifted upward from origin by 4 units, therefore, y-coordinate of our absolute value function will be 4.

Therefore, the vertex of our absolute value function will be on point (-2,4) and option C is the correct choice.
Answer:
The 10% condition would not apply here
Explanation:
The 10% condition is the recommended size of sample from the population to get a non biased result. The 10% condition requires that the sample be not more than 10% of the population.
Tossing a coin is an example of a Bernoulli trial. A Bernoulli trial is one that has two possible outcomes, this face of the coin or the other face of the coin. The 10% condition does not apply to Bernoulli trials that are independent events.
Therefore the 10% condition would not apply here because tossing a coin is an an independent event. An independent event is one with replacement.