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zheka24 [161]
3 years ago
14

Cameron purchased an electric guitar for $1,875. The value of the guitar depreciates by 20% each year. In how many years will th

e guitar be valued at $768?
Mathematics
2 answers:
nasty-shy [4]3 years ago
8 0

Answer:

4 years

Step-by-step explanation:

Hope this helps

posledela3 years ago
5 0

Answer:

4 years

Step-by-step explanation:

do 1,875 divided by 768

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In an arithmetic​ sequence, the nth term an is given by the formula an=a1+(n−1)d​, where a1 is the first term and d is the commo
Dmitry_Shevchenko [17]

Answer:

a_{10} = \frac{10}{65536}

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

a_{3} - a_{2} = a_{2} - a_{1}

We have that:

a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}

a_{3} - a_{2} = a_{2} - a_{1}

\frac{5}{2} - 10 = 10 - 40

\frac{-15}{2} \neq -30

This is not an arithmetic sequence.

This sequence is geometric if:

\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}

\frac{\frac{5}[2}}{10} = \frac{10}{40}

\frac{5}{20} = \frac{1}{4}

\frac{1}{4} = \frac{1}{4}

This is a geometric sequence, in which:

The first term is 40, so a_{1} = 40

The common ratio is \frac{1}{4}, so r = \frac{1}{4}.

We have that:

a_{n} = a_{1}*r^{n-1}

The 10th term is a_{10}. So:

a_{10} = a_{1}*r^{9}

a_{10} = 40*(\frac{1}{4})^{9}

a_{10} = \frac{40}{262144}

Simplifying by 4, we have:

a_{10} = \frac{10}{65536}

3 0
3 years ago
Find the product. 1/8 times 8 to the square root
Nastasia [14]

Step-by-step explanation:

The product 1/8 times 8 to the square root

3 0
3 years ago
Read 2 more answers
What is the value of x?
Mariulka [41]

Answer:  x = 7

`Step-by-step explanation:

Because the figure shows two triangles that are similar. we can write and solve an equation of ratios:

 9 cm       72 cm

----------- = -----------

3x - 20      56 cm

Cross-multiplying, we get (3x - 20)(72 cm) = (9 cm)(56 cm) = 504 cm²

Dividing both sides by 72 cm, we get:

3x - 20 = (504 cm²) / (72 cm) = 7

Then 3x - 20 = 7, and 3x = 27.  Then x must be 9.

4 0
3 years ago
Read 2 more answers
There were 45 runners to start a race. In the first half of the race, 1/3 of them dropped out. In the second half of the race, 3
Helen [10]
45/3=15 45-15=30 30/5=6 3x6=18 30-18=12 the answer is 12
5 0
3 years ago
Which expression represents the prime factorization of 108?
ankoles [38]

Answer:

2×2×3×3×3

Step-by-step explanation:

●108=

•2×54

•2×27

•3×9

• 3×3

Writing the prime numbers;

108=2×2×3×3×3

4 0
2 years ago
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