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tangare [24]
2 years ago
10

The price of a computer was marked up by 50% and then marked down by 50%.

Mathematics
2 answers:
natita [175]2 years ago
5 0

Answer:

James is wrong because if you increase something's price by 50%, and decrease it by 50% of the new price, it will be lower than the original price.

Step-by-step explanation:

Let's say that the computer's price is around $1,000.

Since we have to mark it up by 50%, we have to turn this into a decimal and multiply that decimal by the original price. Then add the product to the original price

0.5 x 1,000 = 500

500 + 1,000 = 1,500

The marked up price of the computer is $1,500, then reduce it by 50%, do the same process as the first step but don't add it to the original price this time.

0.5 x 1,500 = 750

The computer's final price is $750

dalvyx [7]2 years ago
4 0

Answer:

percent change = 25% (drop)

Step-by-step explanation:

James reasoning is incorrect

Let the original price of the computer = $1000

If the computer was marked up by 50% then 1000 x 1.5 = $1500

If the computer was then marked down by 50% then 1500 x 0.5 = $750

Percent change = [ (difference between final value and initial value) ÷ initial value] x 100

= [ (1000 - 750) ÷ 1000 ] x 100

= 25% (drop)

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calculates the sum of the first 8 terms of an arithmetic progression starting with 3/5 and ending with 1/4
N76 [4]

We conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

<h3>How to get the sum of the first 8 terms?</h3>

In an arithmetic sequence, the difference between any two consecutive terms is a constant.

Here we know that:

a_1 = 3/5\\a_8 = 1/4

There are 7 times the common difference between these two values, so if d is the common difference:

a_1 + 7*d = a_8\\\\3/5 + 7*d = 1/4\\\\7*d = 1/4 - 3/5 = (5 - 12)/20 = -7/20\\\\d = -1/20

Then the sum of the first 8 terms is given by:

3/5 + (3/5 - 1/20) + (3/5 - 2/20) + ... + (3/5 - 7/20)\\\\8*(3/5) - (1/20)*(1 + 2 + 3+ 4 + 5 + 6 + 7) = 3.4 = 34/10 = 17/5

So we conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

If you want to learn more about arithmetic sequences:

brainly.com/question/6561461

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6 0
2 years ago
Simplify the expression. 25^1/2 + 81^1/4
Vanyuwa [196]

Answer:

32.75

Step-by-step explanation:

4 0
3 years ago
A restaurant earns $10 for each hour worked up to 40 hours each week and 15 for each additional hour worked over 40 hours. If x
makvit [3.9K]

Answer:

f(x) =  15x - 200

Step-by-step explanation:

Given

Earnings = \$10 per hour for 40 hours, weekly

Additional\ Hour = \$15 per hour over 40 hours, weekly

Required

Determine f(x)

From the question, we have that

x represents hours worked

Earnings in 40 hours is: 40 * 10 = $400

Hours over 40 will be: x - 40

So, earnings during this time will be: (x - 40) * 15

Total earnings is:

f(x) = 400 + (x - 40) * 15

f(x) = 400 + 15x - 600

f(x) =  15x - 600 + 400

f(x) =  15x - 200

8 0
3 years ago
I need help please! Thank you
Debora [2.8K]

Answer:

We also know that If two angles are complementary then  their sum is equal to 90°. So, two angles ∠1 & ∠2 are complementary.

Step-by-step explanation:

As BA is perpendicular to BC. So, angle ∠ABC is 90°.

We also know that If two angles are complementary then  their sum is equal to 90°. As ∠ABC is the sum of the ∠1 & ∠2. In other words, ∠1 & ∠2 are complementary. So, two angles ∠1 & ∠2 are complementary.

Lets prove this.

Given: BA ⊥ BC

Prove: ∠1 & ∠2 are complementary.

Statement                                                       Reasons

1. ∠1 & ∠2 are complementary                      1. Given

2. ∠1 + ∠2 = 90°                                             2. Def. of complementary angles

7 0
3 years ago
Is experimental probability always close to theoretical probability? Explain.
AleksandrR [38]

Answer:

it should be pretty close but not all the time 100% accurate depending on how well it is done. if you're talking about it in a lab sense, there's sometimes human error, or the equipment you're using isn't always 100% accurate either which leads to a slight difference. As long as everything is done correctly it should be relatively the same

4 0
3 years ago
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