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Dmitriy789 [7]
2 years ago
14

$1000 is invested in an account at interest rate r=0.045, compounded continuously. Find the time required for the amount to doub

le
Mathematics
1 answer:
natulia [17]2 years ago
3 0

Answer:

The formula you'll need is:

Years = ln (total / principal) / rate

ln means natural log

Years = ln (2,000 / 1,000) / .045

Years = ln (2) / .045

Years = 0.69314718056 / .045

Years = 15.4033

Step-by-step explanation:

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A bag contains red balls and white balls. If five balls are to be pulled from the bag, with replacement, the probability of gett
Ipatiy [6.2K]

Answer:

Percentage of balls which are red = 80%.

Step-by-step explanation:

Let the probability of drawing a red ball  be x then the probability of drawing a white ball is 1-x.

There are 5C3 = 10 ways of getting 3 reds in 5 draws so  the probability of this is 10* x^3 * (1 - x)^2.

The probability of getting 1 red in 5 draws = 5C1 * x (1-x)^4.

The  first probability is 32 times the last.

So we have the equation:

10x^3(1 - x)^2  /  5x(1 - x)^4  = 32

2x^2 / (1 - x)^2 = 32

2x^2 = 32(1 -x)^2

2x^2 = 32( 1 - 2x + x^2)

2x^2 = 32 - 64x + 32x^2

30x^2 - 64x  + 32 = 0

15x^2 - 32x + 16 = 0

(5x - 4)(3x - 4) = 0

x = 0.8, 1.333...

The probability must be < 1 so x = 0.8  = 80%.

6 0
3 years ago
The U.S. Census Bureau conducts a study to determine the time needed to complete the shortform. The Bureau surveys 200 people. T
pychu [463]

Answer:

Step-by-step explanation:

Download docx
8 0
3 years ago
Which inequality represents this situation? The number of students, s, who ride in a bus is less than 30. A. S &lt; 30 B. S &gt;
mezya [45]

Answer:

A.s<30

Step-by-step explanation:

We are given that

Number of students who ride in a bus=s

We have to find the inequality which represents the given situation.

According to question

s<30

A.s<30

It is true.

B.s>30

It is false because s is less than 30

C.s\geq 30

It is false because s<30

D.s\leq 30

It is false because s<30

Option A is true.

7 0
2 years ago
If a 40​-foot tree casts a 12​-foot ​shadow, find the length of the shadow cast by a 21-foot tree.
saw5 [17]
The shadow Would be About 6.3 feet
6 0
3 years ago
Read 2 more answers
Help please!! kinda confusing for me...​
kolbaska11 [484]

6

Step-by-step explanation:

-2^3=-8

-10+(-8)=-10-8=-18

-18÷-3=6

7 0
3 years ago
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