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butalik [34]
3 years ago
13

Joseph invested $16,000 in an account paying an interest rate of 5.7% compounded continuously. Assuming no deposits or withdrawa

ls are made, how much money, to the nearest cent, would be in the account after 14 years
Mathematics
1 answer:
Whitepunk [10]3 years ago
8 0

Answer:

$35,537.51

Step-by-step explanation:

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What is 0.66666666666 as a fraction
stellarik [79]

To turn 0.(6)=0.6666... into a fraction you should do such steps:

1 step. Set up an equation by representing the repeating decimal with a variable. Using your example, you will let x represent the repeating decimal 0.(6), so you have x=0.666... .

2 step. Identify how many digits are in the repeating pattern, or n digits. Multiply both sides of the equation from Step 1 by 10^n to create a new equation. Again, using your example, you see that the repeating pattern consists of just one digit: 6. Now multiply both sides of the equation by 10^1 = 10. Thus, you have 10x = 10 \cdot 0.666... or 10x = 6.666.....

3 step. Subtract the equation in Step 1 from the equation in Step 2. Notice that when we subtract these equations, our repeating pattern drops off. Therefore, 10x-x=6.666...-0.666...\\ 9x=6.

4 step. You now have an equation that you can solve for x and simplify as much as possible, using x as a fraction: 9x = 6. If you divide both sides by 9, you get x=\dfrac{6}{9}. When simplified, you get that x=\dfrac{2}{3}.

Answer: 0.(6)=0.666... =\dfrac{2}{3}.

8 0
3 years ago
Read 2 more answers
Is 120% less than, more than or equal to 1
kati45 [8]
120% is the same as 120/100

Divide 120 with 100

120/100 = 1.2

1.2 > 1 ∴ 120% is 'more than' 1


hope this helps
6 0
3 years ago
Many years ago, the towns of Franklin and Chester agreed to begin posting their populations on signs just outside of their towns
iVinArrow [24]

Answer:

The answer is 9

Step-by-step explanation:

4 0
3 years ago
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On a day, a video was posted online, 5 people watched the video. The next day the number of viewers had doubled. This tend conti
aleksklad [387]

Answer:

Day 13

Step-by-step explanation:

The question can be represented with a geometric sequence

Where,

a = 5

Common ratio , r = 2

v(t) = a * r^(t - 1)

v(t) = 5 * 2^(t-1)

20,000 = 5 * 2^(t-1)

Divide both sides by 5

20,000 / 5 = 5 * 2^(t-1) / 5

4,000 = 2^(t-1)

2^12 = 2^(t-1)

12 = t - 1

12 + 1 = t

t = 13 days

What would be the day when more than 20,000 people will see the video

Check:

v(t) = 5 * 2^(t-1)

= 5 * 2^(13-1)

= 5 * 2^12

= 5 * 4,096

= 20,480

Therefore,

The day when more than 20,000 people will see the video is day 13

6 0
3 years ago
Write and solve an equation for the following.
Alenkinab [10]

Answer:

4+ \frac{1}{2}x = 3

Step-by-step explanation:

4 + \frac{1}{2}x = 3 (subtract 4 from both sides)

\frac{1}{2}x = -1 (multiply both sides by 2)

x = -2

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3 years ago
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