Which of the following elements is the most reactive?

How much to the nearest dollar should you deposit in a savings account at 2.5% annual simple interest in order to have a balance

Aneli [31]

Answer:

The amount we have to deposit in a savings account x = $ 17777.78

Step-by-step explanation:

Amount = $ 20000

R = 2.5 %

Time = 5 years

Take principal amount = x

Simple interest earned in five years

S.I. = $\frac{P R T}{100}$

$S.I. = \frac{P (2.5)(5)}{100}$

$S.I. = \frac{x}{8}$ ------- (1)

We know hat total amount is given by

Total amount = principal amount + simple interest

A = x + S.I.

$A = x + \frac{x}{8}$

$A = \frac{9x}{8}$

Given that the total amount after 5 years is = $ 20000

$\frac{9x}{8} = 20000$

x = $ 17777.78

This is the amount we have to deposit in a savings account.

6 0

3 years ago

Forty discrete math students are to be divided into eight discussion groups, each consisting of five students. In how many ways

VARVARA [1.3K]

Answer:

Step-by-step explanation:

Given data

the number of students n=40

the number of groups r= 8

We are going to use the combination approach to solve the problem

nCr= n!/r!(n-r)!

substituting into the expression for the number of ways we have

40C8= 40!/8!(40-8)!

nCr= 40!/8!(32)!

nCr= 40*39*38*37*36*35*34*33*32!/8!(32)!

nCr= 40*39*38*37*36*35*34*33*/8!

nCr= 40*39*38*37*36*35*34*33*/8*7*6*5*4*3*2

nCr= 3100796899200/40320

nCr=76904685 ways

4 0

4 years ago

<img src="https://tex.z-dn.net/?f=%5Chuge%20%5Csf%20%5Cfbox%20%5Cpurple%7Bquestion%20%3A-%7D" id="TexFormula1" title="\huge \sf

Shkiper50 [21]

Answer:

infinite

Step-by-step explanation:

x=1
y=3

Let the linear equation in two variables be ax+by+c=0

Put values

$\\ \sf\longmapsto 1a+3b+c=0$

$\\ \sf\longmapsto a+3b+c$

Hence for any values it has infinite number of solutions .

including x=1 and y=3

6 0

3 years ago

Read 2 more answers

If points S, O, and N are collinear, how many lines do they determine?

Gekata [30.6K]

It is only one line because a<span> set of points is collinear if they lie on a single straight line. This is very common to be applied in mathematics</span>

6 0

3 years ago

the cafeteria staff made sandwich each sandwich had either rye or white bread either ham or turkey and either cheese or no chees

nata0808 [166]

The complete question is

"The cafeteria staff made sandwiches. Each sandwich had either rye or white bread, either ham or turkey, and either cheese or no cheese. The staff made an equal number of each type of sandwich.

The sandwiches were placed on a tray. Without looking, Mary will choose a sandwich.

What are the chances that Mary will get a sandwich with cheese?"

The chances of Mary getting a sandwich with cheese is 1/2.

<h3>How to calculate the number of different ways?</h3>

The number of different sandwiches is calculated by multiplying all of the possibilities for each material being used.

rye or white bread: 2 options

ham or turkey: 2 options

cheese or no cheese: 2 options

So the number of different sandwiches = 2*2*2 = 8.

4 have cheese and 4 have no cheese, as the staff made an equal number of each type of sandwich.

So, The chances of Mary getting a sandwich with cheese is 4/8 = 1/2.

Learn more about possibilities ;

brainly.com/question/15577149

#SPJ1

3 0

2 years ago