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borishaifa [10]
2 years ago
15

Question 8 is the one I’m having trouble on it

Mathematics
1 answer:
salantis [7]2 years ago
4 0
Just multiply 30 times 2,000 and also multiply 30 times 700. The reason you will multiply it by 30 is because in 1 month there is 30 days. 30 x 2,000= 60000 30 x 700 = 21000 I’m only 9 btw so sorry if I didn’t give a lot of detail lol
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1+2-3+4+5-6+7+8-9...+97+98-99
zaharov [31]

Answer:

  1584

Step-by-step explanation:

The sum of this sequence can be found a number of ways. One way is to recast it as the series whose terms are groups of three terms of the given series.

__

<h3>series of partial sums</h3>

The partial sums, taken 3 terms at a time, are

  1+2-3 = 0

  4+5-6 = 3

  7+8-9 = 6

...

  97+98-99 = 96

So the original series is equivalent to ...

  0 +3 +6 +... +96 = 3×1 +3×2 +... +3×32 = 3×(1 +2 +... +32)

That is, the sum is 3 times the sum of the consecutive integers 1..32.

__

<h3>consecutive integers</h3>

The sum of integers 1..n is given by the equation ...

  s(n) = n(n+1)/2

__

<h3>series sum</h3>

Using this to find the sum of our series, we find it to be ...

  series sum = 3 × (32)(33)/2 = 1584

_____

<em>Alternate solution</em>

The given series is the sum of integers 1-99, with 6 times the sum of integers 1-33 subtracted. That is, ...

  1 + 2 - 3 + 4 + 5 - 6 = 1+2+3+4+5+6 -2(3 +6) = 1+2+3+4+5+6 -6(1+2)

Continuing on to ...97 +98 -99 gives the result s(99) -6s(33).

Computed that way, we find the sum to be ...

  (99)(100)/2 -6(33)(34)/2 = 4950 -3366 = 1584

3 0
2 years ago
You deposit 1200 in an account. the annual interest is 3 percent. how long will it take you to earn 108 in simple interest
AleksandrR [38]

1200 + 108 = 1200( 1 + 0.03x)

1308 = 1200 + 36x

36x = 108

x = 3 years

3 0
3 years ago
Read 2 more answers
Simplify the expression
Paladinen [302]
\log_4(16^x)=\log_4(4^{2x})=2x.
4 0
3 years ago
Does someone know how to do this?????
Contact [7]

Answer:

on a triangle the bottom is always smaller then the two sides , also the two sides should be equal unless it an isosceles triangle.  <3 I hope this helps .


6 0
3 years ago
Read 2 more answers
Jessica and Callista go the local burger joint. They both want to buy the meal deal. Jessica has 34 of the money needed to buy t
olga_2 [115]

The original price of the meal deal if they would have exactly enough money to buy two of the meal deal is $4

<h3>How to write and solve equation?</h3>

let

x = cost of the meal

Both = 2x - 3

  • Jessica = 3/4x
  • Callista = 1/2x

3/4x + 1/2x = 2x - 3

(3+2)x / 4 = 2x - 3

5/4x = 2x - 3

5/4x - 2x = - 3

(5-8)x/ 4 = -3

-3/4x = -3

x = -3 ÷ -3/4

= -3 × -4/3

= 12/3

x = $4

Learn more about equation:

brainly.com/question/2972832

#SPJ1

4 0
1 year ago
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