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Nikolay [14]
2 years ago
15

You have a credit card with a balance of $1,758.64. The interest is 12.75% APR. A late payment fee of $35.00 is added to the pri

ncipal if you pay after the first month due date of 12/20. You make a
A.
$211.48
B.
$224.23
C.
$18.69
D.
$17.62
Mathematics
2 answers:
ANEK [815]2 years ago
4 0

the answer is c) $18.69

Grace [21]2 years ago
4 0

Answer:

Total balance in Credit Card = $ 1758.64

Interest = 12.75 % APR

So, Amount paid as interest before \frac{12}{20}  = 1758.64 × \frac{12.75}{100}

= \frac{22422.66}{100}

= $224.227 (approx)

If i pay after due date , then total amount in my credit card = $ 1758.64 + $ 35=$1793.64

Then Amount paid as interest = 1793.64 \times\frac{12.75}{100}

<em>                = </em>22868.91 ÷ 100

               = 228. 69 (Approx)

If Interest is charged monthly then interest charged

   =  \frac{224.23}{12}

= $ 18.68(approx) →→Monthly

Option B→→ $ 224.23  →→Yearly

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Answer: A)

Step-by-step explanation:

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8 0
2 years ago
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A local company makes snack-size bags of potato chips. Each day, the company produces batches of 400 snack-size bags using a pro
ioda

Answer:

Probability that a sample of 40 bags has an average weight of at least 2.02 ounces is 0.103.

Step-by-step explanation:

We are given that the company produces batches of 400 snack-size bags using a process designed to fill each bag with an average of 2 ounces of potato chips. Assume the amount placed in each of the 400 bags is normally distributed and has a standard deviation of 0.1 ounce.

Also, sample of 40 bags are selected.

<em>Let </em>\bar X<em> = sample average weight</em>

The z-score probability distribution for sample mean is given by ;

                Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean weight of potato chips = 2 ounces

            \sigma = standard deviation = 0.1 ounces

            n = sample of bags = 40

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, the probability that a sample of 40 bags has an average weight of at least 2.02 ounces is given by = P(\bar X \geq 2.02 ounces)

   P(\bar X \geq 2.02) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } \geq \frac{2.02-2}{\frac{0.1}{\sqrt{40} } } ) = P(Z \geq 1.265) = 1 - P(Z < 1.265)

                                                      = 1 - 0.89707 = 0.103

<em>The above probability is calculated using z table by looking at value of x = 1.265 which will lie between x = 1.26 and x = 1.27 in the z table which have an area of 0.89707.</em>

<em />

Therefore, probability that a sample of 40 bags has an average weight of at least 2.02 ounces is 0.103.

3 0
2 years ago
Peter says that 3/4 of a pizza is always the same as 6/8 of a pizza. Nadia says that while they are equivalent fractions, 3/4 an
Lady bird [3.3K]
Nadia

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4/4 is four slices of pizza
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Jaxson and his children went into a movie theater and he bought $42.50 worth of drinks and candies. Each drink costs $6 and each
sattari [20]

Answer:

6x + 3.25y = 42.50

x + y = 8

Step-by-step explanation:

x is the amount of drinks, and y represents the amount of candies that are bought. The first equation is used to figure out the amount of candies and drinks needed to be bought to add up to 42.50, and the second equation is used to make sure that the quantity of drinks and candies add up to 8.

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2 years ago
A forest ranger is in a forest 2 miles from a straight road. A car is located c miles down the road. The forest ranger can walk
Tcecarenko [31]

Answer:

  • T(x) = (√(4+x^2))/2 +(c -x)/4
  • (a) x = 1.155 miles
  • (b) x = 1/2 mile

Step-by-step explanation:

The straight line distance from the starting point to the point x on the road is given by the Pythagorean theorem:

  d1 = √(2²+x²)

The time required to walk that distance in the woods (at 2 miles per hour) is ...

  time = distance / speed

  t1 = √(4+x²)/2

The remaining distance along the road to the car is ...

  d2 = c - x . . . . . for c > x

and the corresponding time at 4 mph is ...

  t2 = (c -x)/4

Then the total time is ...

  T(x) = t1 +t2

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__

(a) The value of x that minimizes total time is the one that makes the derivative zero.

  T'(x) = x/(2√(4+x²)) -1/4

  0 = (2x -√(4+x²))/(4√(4+x²))

  √(4+x²) = 2x . . . . . fraction is zero when numerator is zero; add radical

  4 +x² = 4x² . . . . . . square both sides

  4/3 = x² . . . . . . . . . subtract x², divide by 3

  x = (2/3)√3 ≈ 1.1547

If c = 9 miles, x = 1.1547 miles.

__

(b) For c < (2/3)√3, the shortest travel time will be along the straight-line path to the car.

If c = 1/2 mile, x = 1/2 mile.

8 0
2 years ago
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