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Lynna [10]
3 years ago
12

Arithmetic Series Algebra 2

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
4 0

=\displaystyle\sum_{n=1}^{50}{(2n)}-\sum_{n=1}^{50}{(3)}=2\sum_{n=1}^{50}{(n)}-50\cdot 3\\\\=2\frac{50(50+1)}{2}-150=2550-150\\\\=2400

_____

The sum of the integers 1 to n is well-known to be n(n+1)/2. Here, we have that sum for n=50.

Aleonysh [2.5K]3 years ago
3 0
The answer is 2400! Yup it is so ya.
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Slove the following:​
Aleksandr [31]

Answer:

let required no be x

\frac{1}{7}  =  \frac{x}{42}

by doing crisscrossed multiplication

42 \times 1 = 7 \times x

42=7x

dividing both side by 7

\frac{42}{7}  = 7x \div 7

6=x

therefore x=6

therefore value of remaining no.is 6

7 0
3 years ago
Read 2 more answers
Mrs. Walters drove 360 miles on 25 gallons of gas. Mr. Walters drove 480 miles on 32 gallons of gas.
seraphim [82]

Answer:

34

Step-by-step explanation:

7 0
3 years ago
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a car purchased for $34,000 is expected to lose value, or depreciate, at a rate of 6% per year.using x for years and y for the v
Vika [28.1K]

Answer:

y = 34000(1-0.06) ^ t

After 7.40 years it will be worth less than 21500

Step-by-step explanation:

This problem is solved using a compound interest function.

This function has the following formula:

y = P(1-n) ^ t

Where:

P is the initial price = $ 34,000

n is the depreciation rate = 0.06

t is the elapsed time

The equation that models this situation is:

y = 34000(1-0.06) ^ t

Now we want to know after how many years the car is worth less than $ 21500.

Then we do y = $ 21,500. and we clear t.

21500 = 34000(1-0.06) ^ t\\\\log(21500/34000) = tlog(1-0.06)\\\\t = \frac{log(21500/34000)}{log(1-0.06)}\\\\t = 7.40\ years.

After 7.40 years it will be worth less than 21500

3 0
3 years ago
Mark's cell phone provider charges a monthly fee of $24.95 and $0.10 per each text message (t) sent or received. The total month
enot [183]

Answer:

Step-by-step explanation:

the answer is 25.00 hope this helps

6 0
3 years ago
Mary is serving pizza at her party. Including her parents, there are 25 people. Each person will get two slices of pizza and a g
lianna [129]

Answer:

7 pizzas and 9 cans of juice

Step-by-step explanation:

The answer is 7 pizzas because if you add the 25 people plus her parents (That would be two more people) is 27. Then you have to multiply 27×2 that would equal 54. So, now you know you need 54 slices but what you is the amount of pizzas needed. The next step would be to divide 54÷8 that would equal 6.75 but you can't buy 6.75 pizzas, and you can't buy 6 pizzas because than you would leave people outside. You will need to buy 7 pizzas. It is better to have left overs than leaving people outside.

For the amount of cans would be 9 because if you add again 25 people plus her parents it would be 27. Then you multiply 27×1 that is obviously 27. The next step would be to divide 27÷3 and it would equal 9. And that is how you get your answer.

4 0
3 years ago
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