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aliina [53]
3 years ago
10

Percents

Mathematics
1 answer:
pentagon [3]3 years ago
5 0

Answer:

  1. $10.17
  2. $70.57

Step-by-step explanation:

1. The change in value was 12.6% of $80.74, calculated as ...

  0.126×$80.74 = $10.17324 ≈ $10.17

__

2. The new price is lower than the price yesterday by that amount, so is ...

  $80.74 -10.17 = $70.57

_____

<em>Note on percents</em>

A percent should be no mystery. The word "per cent" literally means "per hundred", or "/100" in symbols. The symbol "%" is a shorthand way to write "/100". So 12.6% means 12.6/100 = 126/1000 = 0.126.

When written as a decimal, the units digit of a percent is placed in the hundredths digit of the decimal number, as you can see in the example above. (The "2" in "12.6" is in the hundredths place in 0.126.)

Generally percentages are used to express ratios. They are usually a "pure number" with no units attached. Since they are a ratio, they are generally useless unless you know what the numbers involved in the ratio are. Here, the denominator of the ratio, the "base" or "reference", is yesterday's stock price. The percentage is described as the drop in price since yesterday, so it is the ratio ...

  <em>(drop in price since yesterday)/(yesterday's price)</em>

Both of these values have units of dollars, so the numerator units cancel the denominator units and what is left is a pure number. The ratio is 0.126, so to express it as a percentage, we multiply it by 100%. Of course, 100% = 100/100 = 1, so we haven't changed the value; we've only changed the way it is presented. That is ...

  0.126 = 0.126 × 100% = 12.6%

_____

<em>Additional note on decimals and percents</em>

You may hear that to convert a decimal to a percent, you multiply it by 100. That is only partly right. Multiplying anything by 100 changes its value by that factor. When you change a decimal to a percentage, the goal is <em>not</em> to change the <em>value</em>, merely the <em>form</em>. What you actually want to do is multiply by 100% = 100/100. In the example we're using here, this looks like ...

  0.126 × 100/100 = 12.6/100 = 12.6% . . . . . . remember that % means /100.

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Imagine a population of birds with an initial size of 100, a per-capita birth rate of 2, and a per-capita death rate of 1 per ye
Soloha48 [4]

Answer:

3200

Step-by-step explanation:

Given that:

The initial population of birds N_0 = 100

The time duration t = 5 years

Growth rate (r) = (Birth - Death) rate

= 2 - 1

= 1 / year

∴

using the discrete-time form:

N_t = N_o (1 + r )^t

N_t = 100 (1 + 1 )^5

N_t = 100 (2 )^5

N_t = 100 \times 32

N_t = 3200

8 0
2 years ago
Please explain step by step​
JulijaS [17]
1. Calculate the volume of entire cube as if it was a solid rectangle:
Length x width x height=
20x16x12 = 3,940 cubic inches

2. Calculate the volume of the "missing"
Piece and subtract:
Length x width x height=
20x8x6 = 960 cubic inches
(notice you can find the height of the missing piece by subtracting 12-6)

So your answer is 3,940-960 = 2,980 cubic inches inside the steps
6 0
3 years ago
Take a deck of playing cards form following sets out of those
swat32

The information given about the probability shows that the cardinality of D is 18.

<h3>How to calculate the probability?</h3>

From the complete information, the number of red-colored cards is 26.

Also, the number of red-colored number cards will be 18.

The cardinality of a set is a measure of a set's size, meaning the number of elements in the set.

Here, the cardinality of set D is 18.

Here is the complete question:

Take a deck of playing cards. Form following sets out of those:

A = Set of Face Cards

B = Set of Red Coloured Face cards

C = Set of Black Coloured Face Cards

D = Set of Red Coloured Number Cards

Find the Cardinality of set D

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

7 0
2 years ago
The quadrilateral shown is a rhombus. If AB = 17 and AE = 8, what is the measure of AC? A) 8 B) 12 C) 16 D) 24
Contact [7]

Answer:

C)16

Step-by-step explanation:

assuming the rhombus is named ABCD and E is where the diagonals meet.

Rhombus is a quadrilateral in which

  • All sides are equal
  • Opposite internal angles are equal
  • Diagonals bisect each other at right angles

As rhombus is  ABCD , AC is a diagonal which is bisected by E (According to the properties of Rhombus)

therefore AC will be twice of AE which is given to be 8

⇒ Answer is 16

5 0
3 years ago
Read 2 more answers
melissa purchased a car at the price of 20,540 with a down payment of 3,900 and financed the rest paying 8.6% interest compounde
DaniilM [7]

Answer:

$478.06

Step-by-step explanation:

let's first start out by figuring out the present value of the loan

((20540*1.0825)+955+57)-3900

Which gives me a value of 23246.55

I'm then going to assume that the 8.6% is a nominal interest rate meaning that the effectively monthly rate is equal to .086/12=.0072

Which means we have

23246.55=X(a angle 60 at .0072) (i'm using annuities to solve this if you don't know what this is just ask)

Solve this and get $478.06

6 0
3 years ago
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