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kakasveta [241]
3 years ago
14

After paying 28% percent income tax, dan’s income is $64,600. What is his annual income?

Mathematics
1 answer:
creativ13 [48]3 years ago
6 0

Answer:


Step-by-step explanation:

64,600 * .28 = 18,088

64,600 - 18,088 = $46,512

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Austin qualified for a $30,000 loan with 7.49% interest in order to buy a new ski boat. The term of his loan is 10 years and his
sertanlavr [38]

Answer:

$12,714

Step-by-step explanation:

Loan Amount=$30,000

Monthly Payment =$355.95.

Number of Payment Period = 10 Years X 12 Months =120 Months

Total Payment to be made by Austin =120 X 355.95=$42,714

Therefore:

The interest Austin will pay=Total Payment-Loan Amount

=$42,714-30,000

=$12,714

7 0
3 years ago
How do you solve this
inessss [21]

Answer:

ummm i cant see the question it is sidewards

Step-by-step explanation:

4 0
3 years ago
Given independent events A and B such that P(A) = 0.3 and P (B) = 0.5, which of the following is a correct statement?
aev [14]

Answer:

(D) P(AUB) = 0.65

Step-by-step explanation:

Since A and B are independent:

P(A ^ B)

= P(A) × P(B)

= 0.3 × 0.5 = 0.15

P(AUB) = P(A) + P(B) - P(A^B)

= 0.3 + 0.5 - 0.15

= 0.65

7 0
3 years ago
PLEASE HELP I WILL GIVE A LOT OF POINTS!
vazorg [7]

9514 1404 393

Answer:

  (2.27, 0.96)

Step-by-step explanation:

The orthocenter is the point of intersection of altitudes of the triangle. The equation for an altitude is the equation of a line through a vertex that is perpendicular to the opposite side.

For example, the line perpendicular to side AC can be found as ...

  (∆x, ∆y) = C-A = (3, -1) -(-4, 2) = (7, -3)

  ∆x(x -h) +∆y(y -k) = 0 . . . . perpendicular through point (h, k)

For side AC, we want the point to be B(4, 5), so the equation is ...

  7(x -4) -3(y -5) = 0

  7x -3y -13 = 0

Similarly, the altitude to side AB can be written as ...

  (∆x, ∆y) = B -A = (4, 5) -(-4, 2) = (8, 3)

  8(x -3) +3(y +1) = 0

  8x +3y -21 = 0

__

By the "cross multiplication method", the solution to these equations is ...

  x = (-3(-21) -(3(-13))/(7(3) -8(-3)) = (63+39)/(21+24) = 102/45 = 2 4/15 ≈ 2.27

  y = (-13(8) -(-21)(7))/45 = 43/45 ≈ 0.96

The orthocenter is near (2.27, 0.96).

__

A graphing application confirms this result.

_____

<em>Additional information about the cross multiplication method</em>

For the general form equations ...

  • ax +by +c = 0
  • dx +ey +g = 0

The "cross multiplication method" has you write the array ...

  \begin{array}{cccc}a&b&c&a\\d&e&g&d\end{array}

and form the "cross products" in groups of four coefficients:

  D = ae -db, X = bg -ec, Y = cd -ga

Then the solution to the set of equations is ...

  1/D = x/X = y/Y   ⇒   x = X/D, y = Y/D

__

<em>Additional note</em>

Videos of this method show you writing the array as bcab/egde and using the final equation x/X=y/Y=1/D. The above gets the same result in a more straightforward manner.

3 0
3 years ago
If the temperature in the Arctic is -13C, but it then rises by 20C, what is the new temperature?
miv72 [106K]

Answer:7

Step-by-step explanation:

all you have to do is subtract 20-13

4 0
2 years ago
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