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TEA [102]
3 years ago
11

The Jackson family went out to dinner

Mathematics
1 answer:
vovikov84 [41]3 years ago
3 0

Answer:  Amount that the Smith family need to pay for the meal including tax and tip = 53.47.

Step-by-step explanation:

Since we have given that

Price of the meal = 43.45

Rate of sales tax = 7%

Amount becomes after the sales tax is given by

\frac{7}{100}\times 43.45\\\\\frac{304.15}{100}\\\\=3.0415\\\\\text{Amount}=43.45+3.0415=46.4915

Rate of tips over meal and sales = 15%

Amount of tips is given by

\frac{15}{100}\times 46.4915\\\\=0.15\times 46.4915\\\\=6.974

So, Amount becomes

46.4915+6.974\\\\=53.465\\\\=53.47

Hence, Amount that the Smith family need to pay for the meal including tax and tip = 53.47.


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Pauline, Patricia and Polly are pie bakers at their bakery, Perfect Pies. They bake four different pie flavors: cherry, blueberr
Shkiper50 [21]

Answer:

The answer is given below

Step-by-step explanation:

1) The persons are given by the matrix:

The number of different pie flavours is given by the matrix:

n=\left[\begin{array}{cccc}3&4&1&1\\6&6&4&6\\2&2&5&4\end{array}\right]

The cost of ingredients for each pie is given by the matrix:

I=\left[\begin{array}{ccc}3\\5\\2\\6\end{array}\right]

2)

\left[\begin{array}{ccc}Pauline\\Patricia\\Polly\end{array}\right] =\left[\begin{array}{cccc}3&4&1&1\\6&6&4&6\\2&2&5&4\end{array}\right] \left[\begin{array}{ccc}3\\5\\2\\6\end{array}\right] \\\left[\begin{array}{ccc}Pauline\\Patricia\\Polly\end{array}\right] =\left[\begin{array}{ccc}37\\92\\50\end{array}\right]

3) The cost of pie for Patricia = $92

The total cost of pie for all bakers = 37 + 92 + 50 = $179

The ratio of cost of Patricia pie to that of all three bakers = $92/$179 = 0.514

Patricia pie cost of ingredients is more than half of that of all three bakers

4)

The price of pie at Samuels sweet is represented by the matrix:

SA=\left[\begin{array}{ccc}8\\10\\7\\12\end{array}\right]

The income of each baker made by selling at samuels sweets is:

\left[\begin{array}{ccc}Pauline\\Patricia\\Polly\end{array}\right] =\left[\begin{array}{cccc}3&4&1&1\\6&6&4&6\\2&2&5&4\end{array}\right] \left[\begin{array}{ccc}8\\10\\7\\12\end{array}\right] \\\left[\begin{array}{ccc}Pauline\\Patricia\\Polly\end{array}\right] =\left[\begin{array}{ccc}83\\208\\119\end{array}\right]

The price of pie at Sugary Sarah is represented by the matrix:

SS=\left[\begin{array}{ccc}8\\9\\8\\13\end{array}\right]

The income of each baker made by selling at Sugary Sarah is:

\left[\begin{array}{ccc}Pauline\\Patricia\\Polly\end{array}\right] =\left[\begin{array}{cccc}3&4&1&1\\6&6&4&6\\2&2&5&4\end{array}\right] \left[\begin{array}{ccc}8\\9\\8\\13\end{array}\right] \\\left[\begin{array}{ccc}Pauline\\Patricia\\Polly\end{array}\right] =\left[\begin{array}{ccc}81\\212\\126\end{array}\right]

5) Patricia yielded the greatest income. She made $208 + $212 = $420

6) Polly made $126 from selling at Sugary Sarah

7 0
3 years ago
Pls answer fast pls pls pls pls
zhuklara [117]

Answer:

13.93

Step-by-step explanation:

use the Pythagorean theorem

4 0
3 years ago
PLEASE NEED HELP FAST!!!!!
o-na [289]
What the question that is being asked here?
4 0
3 years ago
C(n)=-6+5(n-1)<br> find the 8th term in this sequence
Goryan [66]

Answer:

29

Just replace n by 8 ===> C(8) = -6+5(8-1) = - 6 + 5x7 = -6+35 = 29

Step-by-step explanation:

We have been given a sequence formula. We are asked to find the 8th term of our given sequence.

We know that an arithmetic sequence is in form A_n=a_1+(n-1)d, where,

A_n=\text{ nth term of sequence},

A_1=\text{ 1st term of sequence},

n = Number of terms in sequence,

d = Common difference.

To find the 8th term of our given sequence, we will substitute n=8 in our given formula.

c(n)=-6+5(n-1)

c(8)=-6+5(8-1)

c(8)=-6+5(7)

c(8)=-6+35

5 0
3 years ago
There are 12 inches in 1 foot. And there are 3 feet in 1 yard. How many inches are there in 1 yard.
juin [17]

Answer: 36

Step-by-step explanation: because 3 times 12 is 36

7 0
3 years ago
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