MATHEMATICS COLLEGE

Suppose that the local sales tax rate is 5 %and you purchase a car for $ 27,400
.
a. How much tax is​ paid?
b. What is the​ car's total​ cost?

Answers

Answer 1
Answer:

Answer:

A: Tax paid us $1370

B: Total cost= car cost + taxes

$27,400+ $1370

=$28,770

Step-by-step explanation:

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What is the area of this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. in² The figure contains a triangle. One side is 11.1 inches. A second side is 7 inches. The angle between the given sides is 84 degrees.

X + y + w = b2x + 3y + z + 5w = 6

z + w = 4

2y + 2z + aw = 1

For what values a, b (constants) is the system:

(a) inconsistent?

(b) consistent w/ a unique sol'n?

(c) consistent w/ infinitely-many sol'ns?

Answers

Answer:

(a) a=6 and b≠(11)/(4)

(b)a≠6

(c) a=6 and b=(11)/(4)

Step-by-step explanation:

writing equation in agumented matrix form

\begin{bmatrix}1 &1 & 0 &1 &b\n 2 &3 & 1 &5 &6\n 0& 0 & 1 &1 &4\n 0& 2 & 2&a &1\end{bmatrix}

now R_(2) =R_(2)-2* R_(1)

\begin{bmatrix}1 &1& 0 &1 &b\n 0 &1& 1 &3 &6-2b\n 0& 0 & 1 &1 &4\n 0& 2 & 2&a &1\end{bmatrix}

now R_(4) =R_(4)-2* R_(2)

\begin{bmatrix}1 &1& 0 &1 &b\n 0 &1& 1 &3 &6-2b\n 0& 0 & 1 &1 &4\n 0& 0 & 0 &a-6 &4b-11\end{bmatrix}

a) now for inconsistent

rank of augamented matrix ≠ rank of matrix

for that  a=6 and b≠(11)/(4)

b) for consistent w/ a unique solution

rank of augamented matrix = rank of matrix

  a≠6

c) consistent w/ infinitely-many sol'ns

  rank of augamented matrix = rank of matrix < no. of variable

for that condition

 a=6 and b=[tex]\frac{11}{4}

then rank become 3 which is less than variable which is 4.

The function f(x) = x is translated such that the function describing the translated graph is g(x) = (x + 5)' + 2. Whereis the point (0, 0) for the function f now located on the function g?

Answers

Answer:

  (-5, 2)

Step-by-step explanation:

  g(x) = f(x -h) +k

is a translation of f(x) h units to the right and k units upward. Here, we seem to have h=-5 and k=2. That means the point (0, 0) has been translated 5 units to the left (to -5) and 2 units upward (to 2).

The translated location of (0, 0) is (-5, 2).

_____

We assume we're to ignore the apostrophe (') in the equation for g(x).

Work out

1/3 + 2/9

Give your answer in its simplest form

Answers

Step-by-step explanation:

1/3 + 2/9 = 3/9 + 2/9 = 5/9

Topic: Fractions

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

5/9

Step-by-step explanation:

An automobile purchased for 22,000 is worth 2500 after 5 yrs. Assuming that the cars value deprecited steadily from year to year, what was it worth at the end of third year

Answers

Original price = 22000
New price = 2500
Amount depreciated in 5 years = 22000 - 2500
                                                  =19500
Amount depreciated in 1 year = 19500/5
                                                = 3900
Worth after 3 years = 22000 - 3(3900)
                               = 10300

You deposit $400 in an account that pays 2.4% annual interest compounded monthly a. When does your balance first exceed $500? after years and months b. Use the compound interest formula to find the balance after this amount of time. The balance is $​

Answers

Answer:

The answer is $88

Step-by-step explanation:

The Math.random () function returns a floating-point, pseudo-random number in the range 0–1 (inclusive of 0, but not 1) with approximately uniform distribution over that range — which you can then scale to your desired range.

What is 4/6 ÷8/14???????????????

Answers

Answer:

7/6

Step-by-step explanation:

4/6 divided by 8/14

4/6 * 14/8

56/48

Simplified: 7/6
1.16666666667

Is the correct answer to your question!
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