The 2 legs of the triangle below are a and b. The 2 legs are called the opposite and adjacent sides respectively. The side c is called the hypotenus. The hypotenus side is the longest side of a right angle triangle.

6 0

1 year ago

11. You expect to have the given amount in an account with the given terms. Find how much you can withdraw periodically in order

Orlov [11]

This is a question on Present Value of Annuity and we seek the periodic withdrawal.

$\begin{gathered} F\text{VA}=\text{PMT(}\frac{(1+\frac{i}{m})^{nm}-1}{\frac{i}{m}}) \\ \text{Therefore, PMT=}\frac{FVA}{(\frac{(1+\frac{i}{m})^{nm}-1}{\frac{i}{m}})} \end{gathered}$

where:

FVA = Future value of annuity

PMT = Periodic Withdrawal

i = interest/discount rate

n = no of years

m = no of compundings per interest period

$\text{PMT=}\frac{300000}{(\frac{(1+\frac{0.0445}{365})^{22\times365}-1}{\frac{0.0445}{365}})}=22.01$

PMT = $22.01

8 0

1 year ago

Triangle KLM has vertices K(1,3), L(1,1), and M(4,1). Triangle KLM will be translated 3 units to the left and 4 units down. What

kipiarov [429]

With y coordinates down means subtracting and with x coordinations left means subtracting so to find coordinate K’ you take its coordinates (1,3) and do 1-3=-2 and 3-4=-1. K’ is at (-2, -1)

8 0

4 years ago

A multiple-choice test in which each question has 4 choices only one of which is correct. Assume that 9 questions are answered b

yaroslaw [1]

Answer:

Therefore, the probability is P=0.0084.

Step-by-step explanation:

We know that a multiple-choice test in which each question has 4 choices only one of which is correct. Assume that 9 questions are answered by guessing randomly.

Because we have 4 choices only one of which is correct, we get that p=0.25 and q=0.75.

We calculate the probability of getting exactly 6 correct answers.

n=9 and k=6.

$P=C_k^n\cdot p^k\cdot q^{n-k}\\\\P=C_6^9\cdot 0.25^6\cdot 0.75^3\\\\P=84\cdot 0.0001\\\\P=0.0084$

Therefore, the probability is P=0.0084.

7 0

3 years ago