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3 years ago

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Cameron took his girlfriend out to dinner for her birthday. Dinner was $55.92. Tax on the meal was 7.5% of the price of the meal

. They left a tip that was 18% of the meal and tax. What is the total cost of the meal?

1 answer:

Solnce55 [7]3 years ago

5 0

Answer:

70.93

Step-by-step explanation:

First, turn 7.5% into a decimal, which is 0.075.

Then, do 55.92 x 0.075, which is 4.19. 4.19 is the tax.

add 55.92 and 4.19. The answer is then 60.11.

Then for the tip, change 18% into a decimal, which will be 0.18. Multiply 60.11 x 0.18 to get 10.82.

Lastly, add 60.11 and 10.82, The answer you should get is 70.93

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Given the triangle below, what is the length of the third side, rounded to the nearest whole number?

Leno4ka [110]

Answer:

Step-by-step explanation:

You need the Law of Cosines for this, namely:

$x^2=21^2+14^2-2(21)(14)cos58$ where x is the missing side.

$x^2=441+196-311.5925$ and

$x^2=325.4075$ so

x = 18.0 or just 18

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3 years ago

Find the quotient if the dividend is 2.26 · 108 and the divisor is 0.013.

Sliva [168]

Answer:

17.38*10^8

Step-by-step explanation:

Step one:

given data

The dividend is 2.26*10^8 (i rewrote the given data, i hope it was mearnt to be so)

divisor is 0.013.

Step two:

Hence the quotient is the whole number gotten when the dividend is divided by the divisor

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3 years ago

The given matrix is the augmented matrix for a linear system. Use technology to perform the row operations needed to transform t

shtirl [24]

Answer:

$x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\$

Step-by-step explanation:

As the given Augmented matrix is

$\left[\begin{array}{ccccc}9&-2&0&-4&:8\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right]$

Step 1 :

$r_{1}$ ↔ $r_{1} - r_{2}$

$\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right]$

Step 2 :

$r_{3}$ ↔ $r_{3} - 8r_{1}$

$\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\0&124&-54&77&:-82\end{array}\right]$

Step 3 :

$r_{2}$ ↔ $\frac{r_{2}}{7}$

$\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&124&-54&77&:-82\end{array}\right]$

Step 4 :

$r_{1}$ ↔ $r_{1} + 14r_{2}$ , $r_{3}$ ↔ $r_{3} - 124r_{2}$

$\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&- \frac{254}{7} &\frac{663}{7} &:-\frac{1690}{7} \end{array}\right]$

Step 5 :

$r_{3}$ ↔ $\frac{r_{3}. 7}{254}$

$\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&1&-\frac{663}{254} &:-\frac{1690}{254} \end{array}\right]$

Step 6 :

$r_{1}$ ↔ $r_{1} - 4r_{3}$ , $r_{2}$ ↔ $r_{2} + \frac{1}{7} r_{3}$

$\left[\begin{array}{ccccc}1&0&0&-\frac{71}{127} &:\frac{176}{127} \\0&1&0&-\frac{131}{254} &:\frac{284}{127} \\0&0&1&-\frac{663}{254} &:\frac{845}{127} \end{array}\right]$

∴ we get

$x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\$

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2 years ago

An owner of Honda City car sells his car at a price of RM 7.50,000 with a loss present of 12.5%. Then find the price at which he

Mars2501 [29]

Answer:

Cost = RM 857143

Loss = RM 107143

Step-by-step explanation:

<u>Given:</u>

Selling price SP = RM 750000
Loss% = 12.5
Cost price CP = x

<u>Cost price is found as:</u>

SP = CP - 12.5%
750000 = x - 12.5%
750000= x*(100-12.5)/100
750000= 0.875x
x= 750000/0.875
x≈ RM 857143

<u>Loss is:</u>

RM 857143 - 750000 = RM 107143

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3 years ago

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yaroslaw [1]

The total cost of the lease is $18,092.30.

<h3>What is the total cost of the lease?</h3>

The total cost of the lease is a function of the up front fee, payment per month and the total cost for miles over 36,000.

Total cost = $3500 + (384 x 12 x 3) + [0.15 x (41,122 - 36,000)]

$3500 + 13,824 + 768.30 = $18,092.30

To learn more about total cost, please check: brainly.com/question/25717996

#SPJ1

3 0

2 years ago