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koban [17]
3 years ago
14

You have purchased a mobile home for $20,000 which depreciates at 10% per year.

Mathematics
1 answer:
iragen [17]3 years ago
8 0

Answer:

  C.  Three

Step-by-step explanation:

We want to solve the equation for n:

  14,580 = 20,000(9/10)^n

  14580/20000 = 729/1000 = (9/10)^n

  (9/10)^3 = (9/10)^n . . . . . . write the left side as a cube

  3 = n . . . . . . equate exponents

After year 3, the value will be $14,580.

_____

You can use logarithms to find n:

  log(0.729) = n×log(0.9) . . . . . . taking the log of the 2nd line above

  log(0.729)/log(0.9) = n = 3

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Karen, 28 years old and a single taxpayer, has a salary of $33,000 and rental income of $33,000 for the 2019 calendar tax year.
mart [117]

Answer:

$4,800

Step-by-step explanation:

The maximum contribution for traditional IRA in 2019 = $6000

Given that;

karen has a salary of $33,000 and rental income of $33,000; then total income = $66,000

AGI phase-out range for traditional IRA contributions for a single taxpayer who is an active plan participant is $64,000 – $74,000.

PhaseOut can be calculated as: \frac{66,000-64000}{74,000-64,000} *6000

= \frac{2000}{10000} *6000

= 0.2 * 6000

= 1200

Therefore, the  maximum amount that Karen may deduct for contributions to her traditional IRA for 2019 = The maximum contribution for traditional IRA in 2019 - PhaseOut

= $6000 - $1,200

= $4,800

3 0
3 years ago
Pleasee help mee<br><br>12sin(x)-5cos(x)=6,5​
abruzzese [7]

We turn -5,12 into polar coordinates.  It's a Pythagorean Triple so

r = 13   Ф=arctan(-12/5) + 180°   ( in the second quadrant )

so -5 = 13 cos Ф, 12 = 13 sin Ф

12 sin x - 5 cos x = 6.5

13 sinФ sin x + 13 cos Ф cos x = 6.5  

13 cos(x - Ф) = 6.5

cos(x - Ф) = 1/2

cos(x - Ф) = cos 60°

x - Ф = ± 60° + 360° k     integer k

x = Ф ± 60° + 360° k  

x = 180° + arctan(-12/5) ± 60° + 360° k  

That's the exact answer;

x ≈  180° - 67.38° ± 60° + 360° k  

x ≈  122.62° ± 60° + 360° k  

x ≈  { 62.62°, 182.62°} + 360° k,  integer k

3 0
2 years ago
Geometry)) Find the value of x
Harlamova29_29 [7]

Answer:

\tt x=14

Step-by-step explanation:

\tt 6x+6=90

\tt 6x+6-6=90-6

\tt 6x=84

\tt \cfrac{6x}{6} =\cfrac{84}{6}

\tt x=14

~

8 0
2 years ago
3x^2/3 - 2x^1/3 - 1 = 0
ch4aika [34]

Answer: in algebra if something = 0 thin it is 1

Step-by-step explanation: please mark brainlyest

4 0
2 years ago
Read 2 more answers
Which of the following statements is needed in order to prove these triangles are congruent by AAS?
creativ13 [48]

Answer:

RQ\cong UT

Step-by-step explanation:

Two triangles are congruent by AAS postulate if two adjacent corresponding angles are congruent and the next adjacent sides to any of the angles is are also congruent. The adjacent sides should not be in between the two congruent angles.

From the triangles RQS and UTV

\angle R\cong \angle U\\\angle S\cong \angle V

The adjacent side to \angle R is RQ and for \angle U is UT.

Similarly, the adjacent side to \angle S is QS and for \angle V is TV.

So, the possible sides that could be congruent by AAS postulate are:

RQ\cong UT or QS\cong TV

So, the correct option is RQ\cong UT

5 0
3 years ago
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