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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. Hypotenuse-leg (HL) congruence.

HL, when you have 2 right triangles and their hypotenuses are congruent you are able to say HL

Step-by-step explanation:

We know that the hypotenuse-leg theorem states that if the hypotenuse and one leg of a right triangle are congruent to hypotenuse and corresponding leg of another right triangle, then the triangles are congruent.  

hypotenuse(AB) of △BDA equals to hypotenuse (CD) of △DBC.  

BDA and DBC share a common side DB.

Using Pythagorean theorem we will get,

CD^{2}=DB^{2}+BC^{2}...(1)  \\\\AB^{2}=DB^{2}+AD^{2}...(2)

We have been given that CD=AB, Upon using this information we will get,

DB^{2}+BC^{2}=DB^{2}+AD^{2}

Upon subtracting DB^{2} from both sides of our equation we will get,

BC^{2}=AD^{2}\\\\BC=AD

<h3>Therefore, by HL congruence △BDA ≅ △DBC.</h3>
6 0
2 years ago
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Company A: A 2-column table with 5 rows. The first column is labeled hours with entries 5, 12, 20, 29, 42. The second column is
ryzh [129]

Answer:

The correct answer is C.

Step-by-step explanation:

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According to a survey, 10% of Americans are afraid to fly. Suppose 1100 Americans are sampled. a) What is the probability that 1
JulijaS [17]

Answer:

a) 14.46%

b) 0.00%

c) 1.54%

Step-by-step explanation:

According to the survey, 10% of Americans are afraid to fly.

This means p=0.10 and q=1-0.10=0.90.

If 1100 Americans are sampled, then the sample size is n=1100 .

The mean of the distribution is \mu=np.

This means \mu=1100\times 0.10=110

The standard deviation is \sigma=\sqrt{npq}

We substitute the values to get:

\sigma=\sqrt{1100\times 0.1\times 0.9}=9.95

a) We want to find the probability that 121 or more Americans in the survey are afraid to fly.

We first apply the continuity correction factor to get: P(X\ge121)=P(X\:>\:121-0.5)\\P(X\ge121)=P(X\:>\:120.5)

We now convert to Z-scores to get:

P(X\:>\:120.5)=P(z\:>\:\frac{120.5-110}{9.95})=1.06\\

From the standard normal distribution table P(z>1.06)=0.1446

As a percentage, the probability is 14.46%

b) We want to find the probability that 165 or more Americans in the survey are afraid to fly.

We apply the CCF to get:

P(X\ge165)=P(X\:>\:165-0.5)\\P(X\ge165)=P(X\:>\:164.5)

We convert to z-scores:

P(X\:>\:164.5)=P(z\:>\:\frac{164.5-110}{9.95})=5.48

From the normal distribution, P(z>164.5)=0

c)  First, 8% of 1100 is 88.

We want to find the probability that 88 or less Americans in the survey are afraid to fly.

We apply the CCF to get:

P(X\le88)=P(X\:

We convert to z-scores:

P(X\:

From the normal distribution, P(z>\:-2.16)=0.0154

As a percentage, we get 1.54%

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Answer:

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Step-by-step explanation:

We can write down the inequality that represents the weight Li can add without going over the 50 pound limit:

47.75 + x ≤ 50

If we solve for x we have:

47.75 + x ≤ 50

x ≤ 50 - 47.75

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Answer:

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