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Tcecarenko [31]
2 years ago
9

An item has a listed price of $75. If the sales tax rate is 5%, how much is the sales tax (in dollars)?

Mathematics
1 answer:
Oxana [17]2 years ago
6 0

Answer:

3.75$

Step-by-step explanation:

because if you take 5 percent of the 75 thats what you get

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Solve the matrix equation for a, b, c, and d. [1 2] [a b] [6 5][3 4] [c d]= [19 8]
Anit [1.1K]

Answer:

The answer is "\bold{\left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}7&-2\\ -\frac{1}{2}&\frac{7}{2}\end{array}\right]}".

Step-by-step explanation:

\bold{\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]}

Solve the L.H.S part:

\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right]\\\\\\\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right]

After calculating the L.H.S part compare the value with R.H.S:

\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right]= \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]} \\\\

\to a+2c =6....(i)\\\\\to b+2d =5....(ii)\\\\\to 3a+4c =19....(iii)\\\\\to 3b+4d = 8 ....(iv)\\\\

In equation (i) multiply by 3 and subtract by equation (iii):

\to 3a+6c=18\\\to 3a+4c=19\\\\\text{subtract}... \\\\\to 2c = -1\\\\\to  c= - \frac{1}{2}

put the value of c in equation (i):

\to a+ 2 (- \frac{1}{2})=6\\\\\to a- 2 \times \frac{1}{2}=6\\\\\to a- 1=6\\\\\to a =6 +1\\\\\to a = 7\\

In equation (ii) multiply by 3 then subtract by equation (iv):

\to 3b+6d=15\\\to 3b+4d=8\\\\\text{subtract...}\\\\\to 2d = 7\\\\\to d= \frac{7}{2}\\

put the value of d in equation (iv):

\to 3b+4 (\frac{7}{2})=8\\\\\to 3b+4 \times \frac{7}{2}=8\\\\\to 3b+14=8\\\\\to 3b =8-14\\\\\to 3b = -6\\\\\to b= \frac{-6}{3}\\\\\to b= -2

The final answer is "\bold{\left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}7&-2\\ -\frac{1}{2}&\frac{7}{2}\end{array}\right]}".

4 0
3 years ago
Does the mixed number 4 3/4 make each equation true? Choose Yes or No for each equation.
zhuklara [117]

Answer:

first one: yes

second one: yes

third one: no

fourth one: yes

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
There were 28 white ducks swimming in a pond.
pickupchik [31]
28 white ducks swimming in pond
2*(28 white ducks) = 56 brown ducks flew and landed in pond
(28 white ducks)/2 = 14 white ducks remained in the pond

Ducks remaining in the pond (at this point):
(14 white ducks) + (56 brown ducks) = <u><em>70 ducks in all</em></u>
8 0
3 years ago
Need help urgently difficult but simple math equation if you get it right ill give you brainliest.​
Zielflug [23.3K]

Answer:

No.

Step-by-step explanation:

Explanation below.

6 0
2 years ago
State how many imaginary and real zeros the function has.
myrzilka [38]
Hello,
Degre 5==> even number of imaginary roots and odd number of reals.

Real roots must be a divisor of 7.
Using Excel, we find


<span> <span><span> x  P(x) 
 </span><span>-7 0 </span>
<span> -6 1369
</span> <span> -5 1352
</span> <span> -4 867
</span> <span> -3 400
</span> <span> -2 125
</span> <span> -1 24
 </span><span>0 7
 </span><span>1 32
 </span><span>2 225
 </span><span>3 1000
 </span><span>4 3179
 </span><span>5 8112
 </span><span>6 17797
 </span><span>7 35000

So: one real root: 7 and 4 imaginary roots.

Answer B
 </span></span></span>
7 0
3 years ago
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