What principle will amount to $35000 if invested at 6.5% compounded quarterly for 5 year?

3 letters without replacement 4 letters A B C D how many ways can this be done if the order of the choices matters

Veseljchak [2.6K]

Answer:

Since the order of choice matters, we will permute the values. a bit more explanation for this:

If the order of choice did NOT matter, ABC and BCA will be counted as one since order of choice does NOT matter

Since order of choice does matter, ABC , BCA and CAB are all different possibilities for the arrangement of the same 3 letters

Since we have 3 slots:

___ ___ ___

Now, for the first slot. You can out either one if the 4 alphabets in the first slot since no slot has been used as of now

So:

_4_ ___ ___

**Keep in mind that the 4 is the possible number of values this slot can have**

Now that one slot has been used, one of the 4 alphabets has been used and since we are not allowed to repeat the same alphabets, we are left with 3 more alphabets

we can put any one of the 3 alphabets in this second slot, Hence:

_4_ _3_ ___

Now that 2 of the 4 alphabets have been used, we are left with only 2 alphabets, so there are only 2 possible alphabets for slot 3

Therefore:

_4_ _3_ _2_

Now that we know the possible alphabets for all 3 slots, we will multiply them with each other to get the total possible number of 3 - alphabet words we can make with 4 alphabets

Total possible words = 4 * 3 * 2

Total possible words = 24

We could've used the formula for Permutation as well

8 0

3 years ago

Which of the following is a true biconditional statement?

Alecsey [184]

Answer:

C. I wear my raincoat if and only if it's raining

3 0

3 years ago

Given a polynomial function f(x) = 2x2 – 3x + 5 and an exponential function g(x) = 2% – 5, what key features do f(x) and g(x) ha

prohojiy [21]

A. Both $f(x)$ and $g(x)$ have the same domain of $(9, +\infty)$ .

<h3>How to analyze similarities in two functions</h3>

In this question we must analyze the domain, range, x-intercepts and increase intervals:

<h3>Domain</h3>

$Dom \{f(x)\} = \mathbb{R}$

$Dom \{g(x)\} = \mathbb{R}$

Both functions are continuous.

<h3>Range</h3>

$Ran \left\{f(x)\right\} = (3.875, +\infty)$

$Ran \{g(x)\} = (-5, +\infty)$

<h3>x-Intercepts</h3>

$f(x):$ $(x,y) = \emptyset$

$g(x):$ $(x,y) = (2.322, 0)$

<h3>Increase intervals</h3>

$f(x):$ According to the graph, $f(x)$ increase over the interval of $(3.875, + \infty)$ .

$g(x) :$ According to the graph, $g(x)$ increase over the interval of $\mathbb{R}$

After a quick analysis, we conclude that option A offer the best approximation to characteristics of both functions. $\blacksquare$

<h3>Remark</h3>

The statement presents mistakes and is poorly formatted. Correct form is:

Given a polynomial function $f(x) = 2\cdot x^{2}-3\cdot x + 5$ and an exponential function $g(x) = 2^{x}-5$ . What key features do $f(x)$ and $g(x)$ have in common?

A. Both $f(x)$ and $g(x)$ have the same domain of $(9, +\infty)$ .

B. Both $f(x)$ and $g(x)$ have the same range of $(-\infty, 0]$ .

C. Both $f(x)$ and $g(x)$ have the same x-intercept of $(2,0)$ .

D. Both $f(x)$ and $g(x)$ increase over the interval of $(-4, +\infty)$ .

To learn more on functions, we kindly invite to check this verified question: brainly.com/question/5245372

4 0

2 years ago

Can anybody help me with this

Zolol [24]

For 4, the answer should be 3:1
To find that answer take 1.5 and divide it by 0.5

And for 5, the answer would be 3/4

6 0

3 years ago

Read 2 more answers

A redundant constraint is one which Group of answer choices is added after the problem is already formulated. can only increase

Xelga [282]

Answer:

Plays no role in determining the feasible region of the problem.

Step-by-step explanation:

A Constraints

These are refered to as the restrictions that hinders or reduces the extent to which the/an objective can be worked on/pursued.

A redundant constraint

These are constraints that can be ignored from a system of linear constraints. It is often refered to as an Implied constraints. That is, they are implied by the constraints that surrounds (totality of) the problem.

This is a type of constraint that is not influenced or affected by the feasible region.

Its qualities includes

1. It does not hinders the optimal solution.

2. It also do not hinders the feasible region.

3. It is easily known with the use of graphical solution method

4 0

3 years ago