Answer:
9.9 years
Step-by-step explanation:
A = P e ^(rt)
Where A is the amount in the account
P is the amount invested
R is the interest rate
t is the time
P = 8500
r =7% = .07
A = 17000
Substituting into the equation
17000=8500 e^(.07t)
Divide each side by 8500
17000/8500=8500/8500 e^(.07t)
2 = e^(.07t)
Take the natural log of each side
ln (2) = ln e^(.07t)
ln(2) = .07t
Divide each side by .07
ln(2)/.07 = .07t/.07
ln(2)/.07 = t
9.902102579=t
Rounding to one decimal place
9.9 years
The answer is the third one.
The way I think through these problems is that where you multiply (-7x), you use addition, and where you use addition (-4), you multiply.
The answers added together will equal the second number, -7, and multiplied will give you the third, -4.
What you had chosen as the answer was close. But 7.53+-0.53 equals positive 7, not negative. However they do round to -4 when multiplied.
The correct answer, -7.53 and 0.53, do equal -7 when added together and equal -4 when multiplied.
The information given about the proof does that Daniel made an error on line 2.
<h3>How to illustrate the information?</h3>
Given:
1. AB = 3x +2; BC = 4x + 8; AC = 38
2. AB + BC = AC incorrect (not an angle angle addition postulate)
3. 3x+2 + 4x + 8 = 38 correct
4. 7x + 10 = 38 correct
5. 7x = 28 correct
6. x = 4
Daniel made an error on line 2.
Here is the complete question:
Daniel wrote the following two-column proof for the given information. Given: AB = 3x + 2; BC = 4x + 8; AC = 38 Prove: x = 4 Statements Reason 1. AB = 3x + 2; BC = 4x + 8; AC = 38 1. Given 2. AB + BC = AC 2. Angle Addition Postulate 3. 3x + 2 + 4x + 8 = 38 3. Substitution Property of Equality 4. 7x + 10 = 38 4. Combining Like Terms 5. 7x = 28 5. Subtraction Property of Equality 6. x = 4 6. Division Property of Equality On which line, did Daniel make his error? line 2 line 3 line 4 line 5
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<h2>Answer :</h2>
- He need 111.75 minutes to cook the meal
- He need to start at 2.08.15 P.M. in order to complete the cooking at 4 P.M.
<h2>Step-by-step explanation :</h2><h3>
Known :</h3>
- George can only cook one thing at a time
- Turkey takes 90 minutes to cook
- Pumpkin pie takes 20 minutes to cook
- Rolls take 60 seconds to cook
- A cup of coffee takes 45 seconds to heat
<h3>Asked :</h3>
- Time needed to cook the meal
- Time he need to start in order to complete the cooking at 4 P.M.
<h3>Completion :</h3>
Let's convert all the seconds to minutes. We know that 60 seconds is equal to one minute. So,
60 seconds = 1 minutes
45 seconds = 45/60 minutes = 0.75 minutes
Time needed = Turkey + Pumpkin pie + Rolls + Coffee
Time needed = 90 + 20 + 1 + 0.75
Time needed = 111.75 minutes
Then, we'll calculate the time he need to start in order to complete the cooking at 4 P.M. First, let's convert the minutes to clock format.
111.75 minutes = 1 hour and 51.75 minutes
111.75 minutes = 1 hour and 51 minutes and 45 seconds
Lastly, calculate the time he need to start in order to complete the cooking at 4 P.M.
4h 0m 0s - 1h 51m 45s = 2h 8m 15s
<h3>Conclusion :</h3>
- He need 111.75 minutes to cook the meal
- He need to start at 2.08.15 P.M. in order to complete the cooking at 4 P.M.
Answer:
f(x)=1200(1.04)^n
Step-by-step explanation:
