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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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Answer:

a_n=-301 +37(n-1)

Step-by-step explanation:

arithmetic sequence formula:  a_n=a +(n-1)d

where a is the first term and d is the common difference

Given:

  a_{10}=32

⇒ a +(10-1)d=32

⇒ a+9d=32

Given:

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⇒ a +(12-1)d=106

⇒ a+11d=106

Rearrange the first equation to make a the subject:

a = 32 - 9d

Now substitute into the second equation and solve for d

    (32 - 9d) + 11d = 106

⇒ 32 + 2d = 106

⇒ 2d = 106 - 32 = 74

⇒ d = 74 ÷ 2 = 37

Substitute found value of d into the first equation and solve for a:

a + (9 x 37) = 32

a + 333 = 32

a = 32 - 333 = -301

Therefore, the equation is: a_n=-301 +37(n-1)

4 0
2 years ago
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Step-by-step explanation:

7 0
2 years ago
Y-4x=3. 2x-3y=21 can someone help
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X= 30/-10= -3

Y= 3+4x = 3+ 4* (-3)= 3-12= -9

3 0
3 years ago
Red ribbons are wrapped around all the columns of a building. Each ribbon does not overlap itself. Each column has a radius of 3
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Hello!

If this long ribbon measures 144\pi feet, you can see, it was only multiplied by one number, which has the be the diameter of a column to get our circumference. If we divide this by our diameter 6 (diameter is double the radius, 3), we get our answer below.

144/6=24

Therefore, our answer is C) 24.

I hope this helps!

5 0
3 years ago
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The average income for the household that is surveyed should represent the sample data is not relevant.

The information that should be considered as follows:

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Therefore we can conclude that the average income for the household that is surveyed should represent the sample data is not relevant.

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