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Marat540 [252]
3 years ago
9

An apartment lease states that the rent will go up $60 each year. The rent in the 6th year is $1250. Identify the slope and poin

t,then write a linear equation in the point slope form which models the rent in terms of how many years the tenants have lived there.
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
7 0

Answer:

The slope of the linear equation will be 60 and the point on the line will be (6,1250).

R - 1250 = 60(y - 6)

Step-by-step explanation:

An apartment lease states that the rent will go up by $60 each year. The rent in the 6th year is $1250.

Therefore, the slope of the linear equation will be 60 and the point on the line will be (6,1250).

Now, the point-slope form of the linear equation which models the rent (R(y)) in terms of how many years (y) the tenants have lived there will be

R - 1250 = 60(y - 6) (Answer)

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You charged 1,000 on your credit card for Christmas presents. Your credit card company charges you 26% annual interest, compound
Grace [21]

Answer:

  94 months

Step-by-step explanation:

You can use the amortization formula for this.

  A = P(r/12)/(1 -(1 +r/12)^(-n))

A is the monthly payment; P is the principal amount; r is the annual interest rate, and n is the number of months.

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Filling in the numbers, we can solve for n:

  25 = 1000(0.26/12)/(1 -(1+0.26/12)^-n)

Multiplying by the denominator and dividing by 25, we have ...

  1 -(1+0.26/12)^-n = 1000(0.26)/(12(25)) = 13/15

Subtracting 13/15 and adding (1+0.26/12)^-n gives ...

  2/15 = (1+0.26/12)^-n

Taking logs turns this into a linear equation:

  log(2/15) = -n·log(1+0.26/12)

  n = log(15/2)/log(1+0.26/12) = 93.999

It would take 94 months, or 7 years 10 months, to pay off the balance.

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Your total of payments would be $2,350.

3 0
3 years ago
Prove that the diagonals of a parallelogram bisect each other​
Nady [450]

Answer:

[ See the attached picture ]

The diagonals of a parallelogram bisect each other.

✧ Given : ABCD is a parallelogram. Diagonals AC and BD intersect at O.

✺ To prove : AC and BD bisect each other at O , i.e AO = OC and BO = OD.

Proof :\begin{array}{ |c| c |  c |  } \hline \tt{SN}& \tt{STATEMENTS} & \tt{REASONS}\\ \hline 1& \sf{In  \: \triangle ^{s}  \:AOB \: and \: COD  } \\  \sf{(i)}&  \sf{ \angle \: OAB =  \angle \: OCD\: (A)}& \sf{AB \parallel \: DC \: and \: alternate \: angles} \\  \sf{(ii)} &\sf{AB = DC(S)}& \sf{Opposite \: sides \: of \: a \: parallelogram} \\  \sf{(iii)} &\sf{ \angle \: OBA=  \angle \: ODC(A)} &\sf{AB \parallel \:DC \: and \: alternate \: angles} \\  \sf{(iv)}& \sf{ \triangle \:AOB\cong \triangle \: COD}& \sf{A.S.A \: axiom}\\ \hline 2.& \sf{AO = OC \: and \: BO = OD}& \sf{Corresponding \: sides \: of \: congruent \: triangle}\\ \hline 3.& \sf{AC \: and \: BD \: bisect \: each \: other \: at \: O}& \sf{From \: statement \: (2)}\\ \\ \hline\end{array}.          Proved ✔

♕ And we're done! Hurrayyy! ;)

# STUDY HARD! So, Tomorrow you can answer people like this , " Dude , I just bought this expensive mobile phone but it is not that expensive for me" [ - Unknown ] :P

☄ Hope I helped! ♡

☃ Let me know if you have any questions! ♪

\underbrace{ \overbrace  {\mathfrak{Carry \: On \: Learning}}} ☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

5 0
3 years ago
What is -five sixths time six fifths
s2008m [1.1K]

Answer:

-five sixths= -5/6

six fifths= 6/5

times= multiplication

so , -5/6 x 6/5 = -1

(both sixes get cancelled and the fives also get cancelled to get -1/1 = -1)

8 0
3 years ago
Please need help i need help i need help
xeze [42]

Set each expression from the parentheses equal to 0 separately like so:

Equation 1: x - 4 = 0

Equation 2: -5x + 1 = 0

Now for each equation solve for x!

Equation 1:

x +(- 4 + 4) = 0 + 4

x = 4

Equation 2:

-5x +( 1-1) = 0 - 1

-5x/ -5 = -1 / -5

x = 1/5

Check:

(4 - 4)(-5*4 + 1)

(0) (-20 + 1)

(0) (-19)

0 = 0 -------------------------> correct!

(1/5 - 4)(-5 * 1/5 + 1)

(-19/5)(-1 + 1)

(-19/5)(0)

0 = 0 -------------------------> correct!

smaller x = 1/5

larger x = 4

Hope this helped!

8 0
3 years ago
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HELP ASAP!!!! <br> EXTRA POINTS!!
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20%. total= 5 => total= 25

8 0
3 years ago
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