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S_A_V [24]
2 years ago
5

Which equation represents a line parallel to the line y = 3x - 2?

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
4 0

Answer:

y=3x+2

Step-by-step explanation:

-2's opposite is positive and the rate of change (slope) is constant

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Shorty Jones wants to buy a one-way bus ticket to Mule-Snort, Pennsylvania. The ticket costs $142, but Mr. Jones has only $80. I
Katen [24]

Answer:

Shorty has $142 after 7 month.

Step-by-step explanation:

The concept of compounded interest involves an initial capital that is reinvested month by month, it means that the initial capital plus the interest earned during the first month is reinvested on the second month and so on. The equation that describes the relationship between the final capital with the initial capital, the percentage of compounded interest and the time is:

 Cf = Ci(1 + r)^n    

where Cf: final capital (the money tha Shorty needs,  $142)

Ci: initial capital (the money that Shorty has, $80)

r is the interest (9% = 0,09)

n: time (in months)

⇒142 = 80 (1 + 0,09)^n ⇒ 142/80 = (1,09)^n ⇒ 1.775 = (1,09)^n At this point you have to apply logarithms.

⇒ log (1.775) = n log (1.09) ⇒ n = log (1.775)/log (1.09) ⇒ n= 6.658

Shorty has $142 after 7 month.

4 0
3 years ago
Determine the 10th term from the end of the AP 4, 9, 14​
77julia77 [94]

Answer:

<h2>The answer is 49</h2>

Step-by-step explanation:

Since the sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

To find the 10th term of the sequence first find the first term and the common difference

From the question

a = 4

d = 9 - 4 = 5 or 14 - 5 = 9

Since we are finding the 10th term

n = 10

Substitute the values into the above formula

That's

A(10) = 4 +(10-1)5

= 4 + 9(5)

= 4 + 45

We have the final answer as

<h3>A(10) = 49</h3>

Hope this helps you

6 0
3 years ago
Which number line shows 2 + (-5)?​
ladessa [460]

Answer:

-3

Step-by-step explanation:

2+(-5)

2-5=-3

that is you solve the equation and trace it on the number line

7 0
3 years ago
SOLVE FOR M. please :)
STatiana [176]

Answer:

m =  - 28

Step-by-step explanation:

\frac{ - 3}{7} m = 12

\frac{ - 7}{3} ( \frac{ - 3}{7})m =  \frac{ - 7}{3}  \times 12

\frac{ - 1}{3} ( - 3)m =  \frac{ - 7}{3}  \times 12

- 1( - 1)m =  \frac{ - 7}{3}  \times 12

1 \times m =  \frac{ - 7}{3}  \times 12

m =  \frac{ - 7}{3}  \times 12

m =  \frac{ - 7}{3}  \times 12

m =  \frac{ - 7}{3} (3 \times 4)

m =  - 28

<h3>Hope it is helpful....</h3>
3 0
3 years ago
How can you determine if a number is a rational number
Murljashka [212]
Rational numbers can be written as a fraction
7 0
3 years ago
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