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Inessa05 [86]
3 years ago
13

A coin had a value of $1.17 in 1995. Its value has been increasing at 9% per year. What is the value after 5 years?

Mathematics
1 answer:
ziro4ka [17]3 years ago
5 0

P = P₀ (1 + r)ⁿ

  = 1.17(1 + 0.09)⁵

  = 1.17(1.09)⁵

  = 1.17(1.5386)

  = 1.80

Answer: $1.80

Note: If you don't know the formula, you could calculate each year.

Year 0: $1.17

Year 1: $1.17 + $1.17(0.09)  = $1.2753

Year 2: $1.28 + $1.28(0.09)  = $1.3948

Year 3: $1.39 + $1.39(0.09)  = $1.5155

Year 4: $1.51 + $1.51(0.09)  = $1.6464

Year 5: $1.65 + $1.65(0.09)  = $1.7982   <em>which rounds up to $1.80</em>

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EF is the median of trapezoid ABCD.
BARSIC [14]

Answer:

Part A) x = 11

B) length of BC =  x + 12 =  x + 12 = 11 + 12 =23

length of EF =  4x - 18 =  4(11) - 18 = 44 - 18 =26

length of AD =  3x - 18 =  3(11) - 4 = 33 - 4 =29

Step-by-step explanation:

Median of trapezium is m=\frac{base1+base2}{2}

In provided figure, base1 is x+12 and base2 is 3x-4

A) solve for value of x

calculate the median m=\frac{base1+base2}{2}

4x-18=\frac{x+12+3x-4}{2}

4x-18=\frac{4x+8}{2}

4x-18=2x+4

2x-18=4

2x = 18 + 4

2x = 22

x = 11

B) To find the length of BC, AD and EF , put the value of x in equation of lines

length of BC =  x + 12 =  x + 12 = 11 + 12 =23

length of EF =  4x - 18 =  4(11) - 18 = 44 - 18 =26

length of AD =  3x - 4 =  3(11) - 4 = 33 - 4 =29

5 0
3 years ago
Convert 56 grams to 2 ounces
Alexeev081 [22]

Answer:

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4 0
3 years ago
5/10 + 3/10 plz help!
spayn [35]
The answer to this question is 8/10 which also equals 4/5
6 0
3 years ago
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If you draw four cards at random from a standard deck of 52 cards, what is the probability that all 4 cards have distinct charac
mezya [45]

There are \binom{52}4 ways of drawing a 4-card hand, where

\dbinom nk = \dfrac{n!}{k!(n-k)!}

is the so-called binomial coefficient.

There are 13 different card values, of which we want the hand to represent 4 values, so there are \binom{13}4 ways of meeting this requirement.

For each card value, there are 4 choices of suit, of which we only pick 1, so there are \binom41 ways of picking a card of any given value. We draw 4 cards from the deck, so there are \binom41^4 possible hands in which each card has a different value.

Then there are \binom{13}4 \binom41^4 total hands in which all 4 cards have distinct values, and the probability of drawing such a hand is

\dfrac{\dbinom{13}4 \dbinom41^4}{\dbinom{52}4} = \boxed{\dfrac{2816}{4165}} \approx 0.6761

4 0
2 years ago
Which do the following options represent the measure of arc RA
ANTONII [103]

Answer:

77.2°

Step-by-step explanation:

Consider the triangle JKR.

∠KJR=108.6 (lies on the same line as ∠RJA, angles on a straight line add up to 180)

All the angles in a triangle add up to 180, so:

∠JKR+∠KJR+∠JRK=180

∠JKR+108.6+32.8=180

∠JKR=38.6=∠RKA

Consider ∠RKA. This angle stands on the same arc as ∠RCA.

Since the angle at centre is twice the angle at circumference, 2(∠RKA) = ∠RCA.

2(∠RKA) = ∠RCA

2(38.6)=∠RCA

∠RCA=77.2°

5 0
3 years ago
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