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3 years ago

A bag contains 6 one-dollar coins and 4 two-dollar coins. Three coins are taken at random without replacement.

Mathematics

1 answer:

IgorLugansk [536]3 years ago

3 0

The answer is b why because I had did it on the test and I had got it right HOPEFULLY IT HELPS

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Explain which variables would be included when using technology to calculate the present value of a lump sum and to calculate th

koban [17]

Answer:

a. Present value of a lump sum =

PV = FV / ( 1 + i )ⁿ

b. Present value of an annuity =

P = PMT x ((1 – (1 / (1 + r)⁻ⁿ )) / r)

Step-by-step explanation:

a. Present Value of a Lump sum =

PV = FV / ( 1 + i )ⁿ

Where variables in the formula are explained as follows

PV = Present Value of the given amount today

FV = Future Value of the given amount

i = Discount rate

n = Number of periods

b. Present value of an annuity is given as:

P = PMT x ((1 – (1 / (1 + r)⁻ⁿ)) / r)

The variables in the equation are explained as the follows:

P = the present value of annuity

PMT = Payment per period or the amount in each annuity payment

r = the interest or discount rate

n = total number of periods or the number of payments left to receive

8 0

3 years ago

2 2/10 x 6 2/5 please help me!!!!! Thank you!!!

evablogger [386]

The answer is 24/25.

8 0

3 years ago

The sum of three numbers is 21. Three times the smallest is 3 less than the largest, while the sum of the largest and smallest i

Lynna [10]

3, 6, 12
I guessed and checked. So if 3 is the smallest number, I would, multiply it by 3, which is 9. 9 is 3 less than the largest number which would be 12. 12 + 3 is 15. To find the third number, subtract 21 and 15 which is 6

7 0

3 years ago

Read 2 more answers

Find an equation for the perpendicular bisector of the line segment whose endpoints

TEA [102]

Answer:

y= -2x -8

Step-by-step explanation:

I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.

A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).

Let's find the gradient of the given line.

$\boxed{gradient = \frac{y1 -y 2}{x1 - x2} }$

Gradient of given line

$= \frac{1 - ( - 5)}{3 - ( - 9)}$

$= \frac{1 + 5}{3 + 9}$

$= \frac{6}{12}$

$= \frac{1}{2}$

The product of the gradients of 2 perpendicular lines is -1.

(½)(gradient of perpendicular bisector)= -1

Gradient of perpendicular bisector

= -1 ÷(½)

= -1(2)

= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

$\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }$

Midpoint of given line

$= ( \frac{3 - 9}{2} , \frac{1 - 5}{2} )$

$= ( \frac{ - 6}{2} , \frac{ - 4}{2} )$

$= ( - 3 , - 2)$

Substituting (-3, -2) into the equation:

-2= -2(-3) +c

-2= 6 +c

c= -2 -6 (-6 on both sides)

c= -8

Thus, the equation of the perpendicular bisector is y= -2x -8.

5 0

3 years ago

Which of the following is a solution to the equation x - 5/7 = -3/7

podryga [215]

Solve the equation:

 5 3
x – —— = – ——
 7 7

 5
Add —— to both sides, so you get x isolated at the left-hand side:
 7

 5 5 3 5
x – —— + —— = – —— + ——
 7 7 7 7

 3 5
x = – —— + ——
 7 7

Now, add those fractions at the right-hand side of the equation:

 – 3 + 5
x = —————
 7

 2
x = —— <——— this is the answer (first option: 2/7).
 7

I hope this helps. =)

8 0

4 years ago