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3 years ago

Question 13 (Essay Worth 8 points)

Mathematics

1 answer:

mixer [17]3 years ago

3 0

9514 1404 393

Answer:

geometric sequence

Step-by-step explanation:

The terms of the sequence have a common ratio of -12/3 = -4, so the sequence is geometric. The general term is ...

an = 3(-4)^(n-1)

so the sum can be written as ...

$\displaystyle\sum_{n=0}^\infty3(-4)^n$

(Note the summation starts at n=0, corresponding to a first term of 3.)

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A newspaper carrier has $3.65 in change he has four more quarters then dimes but two times as many nickels as quarters how many

77julia77 [94]

Answer:

The number of quarter coins is 9, the number of dime coins is 5 and the number of nickel coins is 18

Step-by-step explanation:

Let

x ----> the number of quarter coins

y ---> the number of dime coins

z ---> the number of nickel coins

Remember that

$1\ quarter=\$0.25$

$1\ dime=\$0.10$

$1\ nickel=\$0.05$

we know that

$0.25x+0.10y+0.05z=3.65$ ----> equation A

$x=y+4$

$y=x-4$ ----> equation B

$z=2x$ ----> equation C

Solve the system by substitution

substitute equation B and equation C in equation A

$0.25x+0.10(x-4)+0.05(2x)=3.65$

solve for x

$0.25x+0.10x-0.40+0.10x=3.65$

$0.45x=3.65+0.40$

$0.45x=4.05\\x=9$

<em>Find the value of y</em>

$y=x-4$

substitute the value of x

$y=9-4=5$

Find the value of z

$z=2x$

$z=2(9)=18$

therefore

The number of quarter coins is 9, the number of dime coins is 5 and the number of nickel coins is 18

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I WILL GIVE BRAINLIEST

EleoNora [17]

Answer:

Concept: Inverse Functions

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