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lyudmila [28]
2 years ago
9

Original price: $64; Markup: 15% what is the retail price?

Mathematics
1 answer:
Brrunno [24]2 years ago
4 0

Answer:

$73.60

Step-by-step explanation:

Original price:  $64

Markup:  0.15($64) = $9.60

New retail price:  $64 + $9.60 = $73.60

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Solving Exponential Equations (lacking a common base)<br> (0.66)^k=9
Alexandra [31]

Answer:

k = log9 / log 0.66

k = 5.3

Step-by-step explanation:

Please always remember that, when an exponential equation is given with different bases, the best approach is to take log of both sides.

If you have a calculator handy, that would be pretty fast and easy.

0.66 ^ k = 9

Take log of both sides:

klog 0.66 = log 9

k = log 9 / log 0.66

k = 0.954 / - 0.18

k = -5.3

Maths is fun, let's keep learning

3 0
2 years ago
Find the prime factorization of 50 using exponents
Elden [556K]
Five squared with the little two and 2 because 5 Times 10 is 50 and five is prime so then from 10 and you get five and two and both five and two are prime
5 0
3 years ago
On Texas Avenue between University Drive and George Bush Drive, accidents occur according to a Poisson process at a rate of thre
Zarrin [17]

Answer:

(a) The probability is 0.6514

(b) The probability is 0.7769

Step-by-step explanation:

If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:

P(x)=\frac{e^{-at}*(at)^{x} }{x!}

Where a is the mean number of accidents per day and t is the number of days.

So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.

Then, the probability that a given day has no accidents is calculated as:

P(x)=\frac{e^{-3/7}*(3/7)^{x}}{x!}

P(0)=\frac{e^{-3/7}*(3/7)^{0}}{0!}=0.6514

On the other hand the probability that February has at least one accident with a personal injury is calculated as:

P(x≥1)=1 - P(0)

Where P(0) is calculated as:

P(x)=\frac{e^{-at}*(at)^{x} }{x!}

Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:

P(x)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{x}}{x!}

P(0)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{0}}{0!}=0.2231

Finally, P(x≥1) is:

P(x≥1) = 1 - 0.2231 = 0.7769

3 0
3 years ago
Which of the following is an equation of the line through (3, -1) and (−2, 14)?
enot [183]
D.
Slope is rise over run and in this case it is -15/ 5 so when it is reduced you get -3 as your slope
5 0
2 years ago
Read 2 more answers
Awarding BRAINLIEST! Please help!!
MariettaO [177]
The correct answer is -1/3.
8 0
3 years ago
Read 2 more answers
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