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tatyana61 [14]
3 years ago
7

A car stereo is on sale for 250 from its original 273 cost what is the percent of the discount

Mathematics
1 answer:
Ilya [14]3 years ago
8 0
The actual answer is long, but it's about 8.424%
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Find S^20 if the series 1 + 1.1 ..... is a (a) arithmetic (b) geometric
quester [9]
I'm guessing S^20 is actually referring to the 20th partial sum S_{20}, with

S_{20}=1+(1+1\times0.1)+(1+2\times0.1)+\cdots+(1+18\times0.1)+(1+19\times0.1)

in the arithmetic case, and

S_{20}=1+1.1+1.1^2+\cdots+1.1^{18}+1.1^{19}

in the geometric case.

(a) Combining like terms, we have

S_{20}=20+0.1(1+2+\cdots+18+19)

and invoking the formula

1+2+\cdots+(n-1)+n=\dfrac{n(n+1)}2

we end up with

S_{20}=20+0.1\dfrac{19\times20}2=39

(b) Multiply S_{20} by 1.1, then subtract this from S_{20}:

1.1S_{20}=1.1+1.1^2+1.1^3+\cdots+1.1^{19}+1.1^{20}

S_{20}-1.1S_{20}=-0.1S_{20}=1-1.1^{20}
\implies S_{20}=\dfrac{1.1^{20}-1}{0.1}\approx57.275
7 0
3 years ago
Can someone plz help me?
gladu [14]

Answer:

c

Step-by-step explanation:

\frac{1}{6} mile = 1hour \\   \frac{1}{5} mile = xhour \\  \frac{1}{6} x =  \frac{1}{5}  \\ x =  \frac{1}{6}  \div  \frac{1}{5}  \\  \frac{1 }{6}  \times  \frac{5}{1}  =  \frac{6}{5}

pls mark brainliest

5 0
3 years ago
What is the outlier for the data set?<br><br> A. There is none<br> B. 5<br> C. 10<br> D. 9
zmey [24]
The outlier in the data set is 5
8 0
3 years ago
The 5th term in a geometric sequence is 40. The 7th term is 10. What is (are) the possible value(s) of the 4th term?
Lena [83]

Answer:

possible values of 4th term is 80 & - 80

Step-by-step explanation:

The general term of a geometric series is given by

a(n)=ar^{n-1}

Where a(n) is the nth term, r is the common ratio (a term divided by the term before it) and n is the number of term

  • Given, 5th term is 40, we can write:

ar^{5-1}=40\\ar^4=40

  • Given, 7th term is 10, we can write:

ar^{7-1}=10\\ar^6=10

We can solve for a in the first equation as:

ar^4=40\\a=\frac{40}{r^4}

<em>Now we can plug this into a of the 2nd equation:</em>

<em>ar^6=10\\(\frac{40}{r^4})r^6=10\\40r^2=10\\r^2=\frac{10}{40}\\r^2=\frac{1}{4}\\r=+-\sqrt{\frac{1}{4}} \\r=\frac{1}{2},-\frac{1}{2}</em>

<em />

<em>Let's solve for a:</em>

<em>a=\frac{40}{r^4}\\a=\frac{40}{(\frac{1}{2})^4}\\a=640</em>

<em />

Now, using the general formula of a term, we know that 4th term is:

4th term = ar^3

<u>Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:</u>

ar^3\\1.(640)(\frac{1}{2})^3=80\\2.(640)(-\frac{1}{2})^3=-80

possible values of 4th term is 80 & - 80

3 0
4 years ago
3) You paid $5 for a bucket of popcorn and $1.25 per candy bar. How many candy bars
Alex73 [517]

4 dollars flat $4.00

Step-by-step explanation:

1.25x4= 5$ 5$+5$=10$

4 0
3 years ago
Read 2 more answers
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