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2 years ago

A computer randomly picks a number from the group 75, 76, 77, 78, 79.

Mathematics

2 answers:

Scilla [17]2 years ago

5 0

2/5 or 0.4 Because only two of the five numbers are even or greater than 78

Alex2 years ago

5 0

3/5 because there is one number higher than 78 and (76,and 78) are even number so there are 2 possibilities out of 5 .

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100 is deposited into an investment account on January 1, 1998. You are given the following information on investment activity t

klio [65]

Answer:

y = - 0.681 % ≈ -0.7 %

Step-by-step explanation:

Given:

April 19,1998 October 30, 1998

Value immediately prior to deposit 95 105

Deposit 2X X

amount in the account on January 1, 1999 = 115

effective dollar weighted yield = 0%

annual effective time weighted yield = y

To find:

Calculate y

Solution:

Given that the dollar weighted return is 0%

100 is deposited into investment account on January 1, 1998. So, add 100 to the deposits 2X X

100 + 2x + x = 115

3x = 115 - 100

3x = 15

x = 15/3

x = 5

Compute y

1 + y = (95/100)(105/105)(115/110)

1 + y = 0.95 * 1 * 1.045

1 + y = 0.99318

y = 0.99318 - 1

y = - 0.0068 * 100

y = - 0.681 % ≈ -0.7 %

y = -0.7 %

8 0

2 years ago

wo crafty bacteria fall into a pot of milk which has recently been sterilized. They reproduce at a rate of 4% per day. Determine

RideAnS [48]

Answer:

Number of bacteria after 100 days is 1237.

Step-by-step explanation:

Since bacterial growth is a geometrical sequence.

Therefore, their population after time t will be represented by the expression

$S_{n}=\frac{a(r^{n}-1)}{r-1}$

Where a = first term of the sequence

r = common ratio of the sequence

n = duration or time

Since first term of the sequence = number of bacteria in the start = 1

Common ratio = r = (1 + 0.04) = 1.04

$S_{100}=\frac{1[(1.04)^{100}-1)]}{1.04-1}$

= $\frac{(50.5049-1)}{(0.04)}$

= 1237.64 ≈ 1237 [Since bacteria can't be in fractions]

Therefore, number of bacteria after 100 days is 1237.

7 0

3 years ago

X intercept of (x-3)(x-5)

jok3333 [9.3K]

Answer: a linear Function (y=x-5)

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Which of the following is the solution to the equation 25^(z - 4) = 125 ? Select one: A. z = 5.5. B. z = 3.5. C. z = -2.5. D. z

Bogdan [553]

A. z=5.5
25^(5.5-4)=125
25^(1.5)=125
125 = 125
z=5.5

8 0

2 years ago

Read 2 more answers

The line defined by the equation 2y+3=-(2/3)(x-3) is tangent to the graph of g(x) at x=-3. What is the value of the limit as x a

Otrada [13]

the limit as x approaches -3 of [g(x)-g(-3)]over(x+3) is the same as the derivative, or slope, of g(x) at the point x=-3, or g'(-3).
Since you are given the equation of the tangent line, the answer is just the slope of that line.
2y+3=-(2/3)(x-3)
6y+9=-2(x-3)
6y+9=-2x+6
6y=-2x-3
y= (-2x-3)/6
slope is -2/6 = $\boxed{ -\frac{1}{3} }$

8 0

2 years ago