Which is greater 875 cL or 875 ml

Given that a, b, and c are non-zero real numbers and a + b ≠ 0, solve for x.<br><br> ax + bx - c = 0

JulsSmile [24]

$ax+bx-c=0 \ \ \ |+c \\
ax+bx=c \\
(a+b)x=c \ \ \ |\div (a+b), a+b \not= 0 \\
\boxed{x=\frac{c}{a+b}}$

3 0

3 years ago

Read 2 more answers

4. [5 pts] Describe how and why the formula for permutations differs from the formula for combinations.

ivann1987 [24]

Answer:

They are different because of the order in the permutation matters. In combination, the order doesn't matter. In other words in a permutation 123 and 132 are different but in a combination are the same group (they have the same digits 1,2, and 3).

Step-by-step explanation:

The formula of the permutation is $P(n,r)=\frac{n!}{(n-r)!}$ , when you are performing a permutation you pick r objects from a total of n, for the first pick you can choose from n, but for the second you have n-1, and this continues to your pick number r in which you will choose from n-r+1, and the total of permutation is the multiplicación of this number of choices for each pick, like this:

$n(n-1)(n-2)...(n-r+1)$

If $n!=n(n-1)(n-2)...(n-r+1)(n-r)(n-r-1)...(1)$ and $(n-r)!=(n-r)(n-r-1)(n-r-2)...(1)$

$\frac{n!}{(n-r)!}=\frac{n(n-1)(n-2)...(n-r+1)(n-r)(n-r-1)...(1)}{(n-r)(n-r-1)(n-r-2)...(1)}$

The factor equals above and under cancel each other.

$\frac{n!}{(n-r)!}=\frac{n(n-1)(n-2)...(n-r+1)(n-r)(n-r-1)...(1)}{(n-r)(n-r-1)(n-r-2)...(1)}\\\frac{n!}{(n-r)!}=n(n-1)(n-2)...(n-r+1)$

In combination, the order of the element isn't important, so from the total of permutation you have to eliminate the ones with the same objects with different order and counting just once each group, when choosing r objects the total of permutation for a single group of r objects is: $r(r-1)(r-2)...(1)=r!$ . If you divide the total of permutations of n taking r by r! you get the combinations (where the order is not important). The formula of the combination is $C(n,r)=\frac{n!}{r!(n-r)!}$ .

4 0

4 years ago

What is the solution to - 3 = w - 7 ? I need to show work please help

lisov135 [29]

Answer:

w = 4

Step-by-step explanation:

You have to switch the negative 7 into a positive, and then add it to the negative 3

-3 = w - 7

+7 +7

4 = w

6 0

3 years ago

AMDM TVM

Liono4ka [1.6K]

Answer: Vanessa is a financial planner specializing in retirement savings. She realizes the importance

of using mathematical formulas and the appropriate tools to help her clients understand the

reasoning behind the advice she is giving.

One of her favorite tools is a time-value-of-money (TVM) calculator. In Student Activity

Sheet 4, you met Josephine, one of Vanessa’s clients who wanted to retire with $1 million

in savings.

1. In Josephine’s initial situation, she plans to retire in 50 years with $1 million in savings.

Vanessa advised her to find an account that earned at least the current rate of inflation.

Use this information to complete the table below.

Variable Definition of Variable Value in Josephine’s

Situation

FV future value, or value of the investment at maturity

t number of years of investment until maturity

i annual interest rate (as a decimal)

PV principal, or present value

n number of compounding periods per year

Vanessa uses a TVM calculator to help Josephine understand how the different variables

affect one another.

2. Identify the values in Josephine’s situation for each variable that the TVM calculator

uses.

Variable Definition of Variable Value in Josephine’s

Situation

N number of compounding periods between the

time of investment and the time of retirement

I% annual interest rate (as a percent)

PV principal, or present value

PMT amount of each regular payment

FV future value, or value of the investment at

maturity

P/Y

number of payments per year (usually the same

as the number of compounding periods per year,

C/Y)

C/Y number of compounding periods per year

Student: Class: Date:

Decision Making in Finance: Present Value of an Investment

VI.B Student Activity Sheet 5: A Cool Tool!

Charles A. Dana Center at The University of Texas at Austin Advanced Mathematical Decision Making (2010)

Activity Sheet 5, 6 pages

14

3. Use the TVM calculator to determine the present value (PV) of the investment required

to meet Josephine’s retirement goal. How does this amount compare to what you

determined in Student Activity Sheet 4?

Use the TVM calculator to answer the following questions for some of Vanessa’s other

clients.

4. Reginald wants to find the future value of an investment of $6,000 that earns 6.25%

compounded quarterly for 35 years.

Variable Definition of Variable Value in Reginald’s

Situation

N number of compounding periods between the time

of investment and the time of retirement

I% annual interest rate (as a percent)

PV principal, or present value

PMT amount of each regular payment

FV future value, or value of tStep-by-step explanation:

3 0

3 years ago

Will give brainly if ur right and maybe a kiss

Dennis_Churaev [7]

Answer:

14x²(2x³ + 1)

Step-by-step explanation:

Split the value: 28x⁵

28x⁵ = 28x³x²

14x² + 28x³x²

28 = 14 × 2

14x² + 14 · 2x³x²

Factor:

14x²(2x³ + 1)

No homo

6 0

4 years ago