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ikadub [295]
1 year ago
9

Find the following sums ( for letter C)

Mathematics
1 answer:
anygoal [31]1 year ago
6 0

Each number in the sum is even, so we can remove a factor of 2.

2 + 4 + 6 + 8 + ... + 78 + 80 = 2 (1 + 2 + 3 + 4 + ... + 39 + 40)

Use whatever technique you used in (a) and (b) to compute the sum

1 + 2 + 3 + 4 + ... + 39 + 40

With Gauss's method, for instance, we have

S = 1 + 2 + 3 + ... + 38 + 39 + 40

S = 40 + 39 + 38 + ... + 3 + 2 + 1

2S = (1 + 40) + (2 + 39) + ... + (39 + 2) + (40 + 1) = 40×41

S = 20×21 = 420

Then the sum you want is 2×420 = 840.

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Jace purchases a new motorcycle for $8000. The bike depreciates 12% every year.
Alex777 [14]

Answer:

We know that the original price of the bike was $8,000.

After one year, the price of the bike decays a 12%, then the new price of the bike is:

P(1) = $8,000*( 1 - 12%/100%) = $8,000*(1 - 0.12)

After another year, the price again decays a 12%, the new price will be:

P(2) = $8,000*(1 - 0.12)*(1 - 12%/100%) = $8,000*(1 - 0.12)*(1 - 0.12) = $8,000*(1 - 0.12)^2

We already can see the pattern here, after t years, the price of the bike will be:

P(t) = $8,000*(1 - 0.12)^t

With this equation, we can find the price of the bike after 5 years, where we only need to replace t by 5

We will get:

P(5) = $8,000*(1 - 0.12)^5 = $4,221.9

The price of the bike after 5 years is  $4,221.9.

Now we want two equations to represent this, so we need another.

This is kinda trivial, because there is only one equation that represents this, so we only can rewrite our equation in another form.

We could say that the price of the bike after t years is:

P(t) = $8,000*(0.88)^t

or something like:

P(t) = $7040*(0.88)^(t - 1)

Where i multiplied the initial value by 0.88, and then reduced the exponent by one.

3 0
2 years ago
PLEASE HELP!!!!!!!!! Explain and demonstrate how to change 4/20 into a percent.
Fynjy0 [20]
4/20 x 5 = 20/100 = 20%
3 0
3 years ago
mrs peele has 11 1/4 pounds of cookie dough a batch of cookies requires 2 1/2 of cookie dough how many batchesof cookie dough ca
Vladimir79 [104]

Answer:

4.5 lbs

Step-by-step explanation:

just divide 11.25 by 2.5

3 0
2 years ago
Is (3,-2) a solution to the system below? How do you know?
cricket20 [7]

Step-by-step explanation:

you know by using the x and y coordinates of the point in the equations and see, if both equations are still true.

if yes, it was a solution, and if just only one is false, then it was not a solution.

(3, -2) in

y + 4x = 10

5x - y = 13

so,

-2 + 4×3 = 10

-2 + 12 = 10

10 = 10 true

5×3 - (-2) = 13

15 + 2 = 13

17 = 13 false

so, it was NOT a solution.

3 0
2 years ago
The manager at Gabriel's Furniture Store is trying to figure out how much to charge for a bookshelf that just arrived. The books
melomori [17]

First: markup rate × wholesale price = amount of markup

Second: Well the markup rate is a percentage, you have to convert it into a decimal. Percent means "out of one hundred," so <span>80%</span> is equivalent to <span>80/100 </span>which is also equal to <span>80÷100</span>.

<span>Third: 80÷100=0.80</span>

0.80 × $93.00 = $74.40

Fourth: The markup rate is a percentage of the wholesale price that is added to get the retail price, you can find the retail price with the following equation: amount of markup + wholesale price = retail price

<span>$74.40</span> + <span>$93.00</span> = <span>$167.40</span>

The retail price of the chair should be <span>$167.40</span>.

7 0
3 years ago
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