your car weighs 7,630 pounds. There is a road safety fee for cars. you fee is $28 plus $0.023 per pound. What is the fee for your car?

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

7630 x .023 = 175.49

175.49 + 28 = $203.49


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Brian and Jennifer are planning to get married at the end of the year. They read that certain diets are healthier for specific blood types and hope that they both have the same blood type. Unfortunately, neither Brian nor Jennifer can remember their blood type.Suppose a recent study shows that 29% of adults have blood type A, 35% of adults have blood type B, 24% of adults have blood type AB, and 12% of adults have blood type O. The tree diagram shows the possible outcomes for Brian and Jennifer along with their associated probabilities.
What is the probability that Brian and Jennifer share the same blood type?

Answers

The probability that they both have type A: 0.29 x 0.29 = 0.0841

The probability that they both have type A: 0.35 x 0.35 = 0.1225

The probability that they both have type AB: 0.24 x 0.24 = 0.0576

The probability that they both have type O: 0.12 x 0.12 = 0.0144

The probability that they both have the same:

0.0841 + 0.1225 + 0.0576 + 0.0144 = 0.2786

The probability that Brian and Jennifer share the same blood type is approximately 0.2786 or 27.86%.The probability that Brian and Jennifer share the same blood type can be calculated by considering all the possible cases where they can have the same blood type.

There are four blood types: A, B, AB, and O. Since there are 4 possibilities for Brian's blood type and 4 possibilities for Jennifer's blood type, there are a total of \(4 * 4 = 16\) equally likely outcomes for their blood types.

Out of these 16 possible outcomes, there are two cases where Brian and Jennifer share the same blood type: either both have the same blood type A, B, AB, or O.

1. Both have blood type A:Probability = Probability(Brian has A) × Probability (Jennifer has A) = 0.29 × 0.29 = 0.0841.

2. Both have blood type B:Probability = Probability(Brian has B) × Probability (Jennifer has B) = 0.35 × 0.35 = 0.1225.

3. Both have blood type AB:Probability = Probability(Brian has AB) × Probability (Jennifer has AB) = 0.24 × 0.24 = 0.0576.

4. Both have blood type O:Probability = Probability(Brian has O) × Probability (Jennifer has O) = 0.12 × 0.12 = 0.0144.

Now, add up the probabilities of these four cases:

\[0.0841 + 0.1225 + 0.0576 + 0.0144 = 0.2786.\]

Therefore, the probability that Brian and Jennifer share the same blood type is approximately 0.2786 or 27.86%.

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You have $3,500 on a credit card that charges a 13% interest rate. If you want to pay off the credit card in 4 years, how much will you need to pay each month (assuming you don't charge anything new to the card)?

Answers

Final answer:

To pay off your credit card debt of $3,500 at 13% interest rate in 4 years, you will have to calculate the monthly payments by using a certain formula. After defining the parameters (monthly payment, monthly interest rate, present value or current loan amount, and time), all you have to do is put the values in it and calculate the monthly payment.

Explanation:

This question refers to a financial problem in the subject of Mathematics, particularly pertaining to the concept of

simple interest

. To find out how much you need to pay each month to clear out your credit card debt, you would need to understand how the 13% interest is applied to your debt of $3,500. The formula for finding monthly payments is

P = [r*PV(1 + r)^t]/[(1 + r)^t – 1]

, where:

  • P is your monthly payment,
  • r is your monthly interest rate, calculated by taking your annual rate (0.13 in this case) and dividing it by 12,
  • PV is your present value or current loan amount, which is $3500 in this case, and
  • t is time, the number of periods in which payments will be made, which is 4*12 = 48 months in this case.

After defining the parameters, all you have to do is put the values in the formula and calculate the monthly payment.

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Final answer:

To calculate the monthly payments on a credit card debt of $3,500 with a 13% interest rate over 4 years, you can use the formula for calculating the monthly payment on a fixed-rate loan. The monthly payment comes out to be approximately $94.78.

Explanation:

To calculate the monthly payments on a credit card debt, you can use the formula for calculating the monthly payment on a fixed-rate loan. The formula is:



Monthly Payment = (Principal * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))



In this case, the principal is $3,500, the monthly interest rate is 13% divided by 12 (0.13/12), and the number of months is 4 years multiplied by 12 months (4 * 12). Plugging in these values, we get:



Monthly Payment = (3500 * 0.13/12) / (1 - (1 + 0.13/12)^(-4 * 12))



Solving this equation will give us the monthly payment amount. Using a calculator, the monthly payment comes out to be approximately $94.78.

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Please help me with this

Answers

Answer:x^2+10x+24

Step-by-step explanation:

Area of rectangle=length x width

Area of rectangle=(x+4)(x+6)

Area of rectangle=x^2+6x+4x+24

Area of rectangle=x^2+10x+24

What is 1 whole and 5/8 as a decimal

Answers

Answer:

1 whole and 5/8 as a decimal is 1.625

Answer: 1.265
Steps: Convert 1 5/8 to a improper fraction-> 13/5 and dived the numerator by the denominator. 13/5= 1.265

16+10/5-3*2=12 true or false.

Answers

We need to follow the order of operations to get this one right. 
16 + (10/5) - (3*2)
16 + (2) - (6)
16 + 2 - 6
18 - 6
12Your answer is true!

A random sample of size 100 was taken from a population. A 94% confidence interval to estimate the mean of the population was computed based on the sample data. The confidence interval for the mean is: (107.62,129.75). What is the z-value that was used in the computation. Round your z-value to 2 decimal places.

Answers

Answer: 1.88

Step-by-step explanation:

The confidence interval for population mean is given by :-

\mu\ \pm z_(\alpha/2)(\sigma)/(√(n))

Given : Significance level : 1-0.94=0.06

Critical value : z_(\alpha/2)=z_(0.06/2)=z_(0.03)

By using the standard normal distribution table for z, we find the critical value of z_(0.03) corresponds to the p-value 0.03.

z_(0.03)=1.8807936\approx1.88

Hence, the z-value that was used in the computation must be 1.88 .