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forsale [732]
3 years ago
15

Sam has $400 in his bank account and plans to save $25 per week. Zoe has $250 in her bank account and plans to save $75 per week

. How many weeks will it be before their accounts are equal?
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
5 0

Say x is the number of weeks until their money is equal. Then, we can set up an equation.

400 + 25x = 250 + 75x

Subtract 250 from both sides

150 + 25x = 75x

Subtract 25x from both sides

150 = 50x

Divide by 50 on both sides

3 = x

That means the answer is 3 weeks.

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Ramu swims a distance of 3 km each upstream and downstream. The total time taken is one hour. if the speed of the stream is 4km/
balu736 [363]

Answer:

:5 or 6km per hour is your answer.

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2 years ago
Approximate the sum of the convergent infinite series the least usingnumber of terms so that the error is less than .0001. What
____ [38]

Solution :

$\sum_{n=1 }^{\infty } \frac{(-1)^n}{n ! 2^n}$           $a_n= \frac{(-1)^n}{n ! 2^n} \ \ \ \ \ a_{n+1}= \frac{(-1)^{n+1}}{(n+1) ! 2^{n+1}}$

Error = $|a_{n+1}|$

Error ≤ 0.0001

$|\frac{(-1)^{n+1}}{(n+1)!2^{n+1}}| \leq 0.0001$

$|\frac{1}{(n+1)!2^{n+1}}| \leq 10^{-4}$

$(n+1)! 2^{n+1} \geq 10000$

Now try, n ≥ 5

$\sum_{n=1 }^{\infty } \frac{(-1)^n}{n ! 2^n}$   = $\sum_{n=1 }^{5 } \frac{(-1)^n}{n ! 2^n}$         (with error 0.0001)

 

$\sum_{n=1 }^{\infty } \frac{(-1)^n}{n ! 2^n}$   = $\frac{-1}{1!2}+\frac{1}{2!2^2}-\frac{1}{3! 2^3}+\frac{1}{4! 2^4}-\frac{1}{5! 2^5}$

$\sum_{n=1 }^{\infty } \frac{(-1)^n}{n ! 2^n}$ = 0.6065104

3 0
3 years ago
Consider the following scenario:
charle [14.2K]
The successful completion of the exam review packet 
7 0
2 years ago
Please help with an explanation!! will mark brainliest, not the best at fractions haha
Vitek1552 [10]
The correct answer is letter C; -6,
-5 2/5 or -27/5 and -4 1/5 or -21/5.

You can find this answers by substituting 1, 4, and 10 into the letter n.

Then you follow the operational order to get the answer.
8 0
2 years ago
Find value of x such that the data set has a mean of 105: 99, 119, 106, 112; 108
Marizza181 [45]
I'm assuming that x is part of the data set, and, with x, the mean equals 105. To find the value of x, you must add all the data values together to get 544+x (you still don't know what x equals). Then put 544+x over how many days values there are, including x (there are 6). You should have 544+x/6. Now, as this is how you would calculate the mean if you knew what x was equal to, you must set it equal to the mean, since you know what it is (105). You should now have 544+x/6 = 105. You have your equation set up--now you just have to solve it. I would multiply by 6 on both sides to get rid of the 6 on the left side. You would then have 544+x = 630. I would finally subtract 544 from both sides to get x = 86. Your final answer is x = 86.
6 0
2 years ago
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