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3 years ago

To buy a car, you borrow $25,000 with a term of three years at an APR of 6.5%. What is your monthly

Mathematics

1 answer:

Finger [1]3 years ago

4 0

Answer:

$766.23

Step-by-step explanation:

The amortization formula is appropriate for this. (Better, use a financial calculator or spreadsheet.)

A = P(r/12)/(1 -(1 +r/12)^-(12t))

where P is the amount borrowed (25,000), r is the annual rate (0.065), and t is the number of years (3).

Putting the given numbers into the formula, we have ...

A = $25,000(0.065/12)/(1 -(1 +0.065/12)^(-36))

A = $25,000(.00541667)/(1 -1.00541667^-36)

A = $25,000(0.00541667)/(0.1767322)

A = $766.23

The monthly payment is $766.23.

_____

<em>Comment on tools</em>

A graphing or scientific calculator is useful for these. Something like a TI-84, or any of the equivalents, will have financial calculations like this built in. There are also numerous apps available for phone or tablet that will do financial calculations.

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Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States. In Australia, only 1.5% of

Naddik [55]

Answer:

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

Step-by-step explanation:

For each U.S. resident, there are only two outcomes possible. Either they have blood type AB, or they do not. This means that we can solve this problem using binomial probability distribution concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem, we have that:

50 U.S residents are sampled, so $n = 50$

4% of the U.S population has blood type AB, so $p = 0.04$ .

What is the probability that exactly 2 of the U.S. residents have blood type AB?

This is P(X = 2). So:

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 2) = C_{50,2}.(0.04)^{2}.(0.96)^{48} = 0.2762$

There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.

5 0

3 years ago

At the market, 2.4 pounds of peas cost 1.68 dollars. How much does one pound of peas cost?

babunello [35]

.7

because you need to get the original unit price which is 0.7 then multiply that by 1 and get your answer

6 0

3 years ago

Burger town sells cheeseburgers for $7.95 each plus an additional $1.00 for each extra toppings, t. Which of the following equat

dezoksy [38]

Answer: $7.95+$1t ?

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A boat is heading towards a lighthouse, whose beacon-light is 136 feet above the

alexandr1967 [171]

The distance between the points A to B is 899.9 feet. After rounding off the nearest integer we get 900 feet as the final answer.

Given we know that CD is perpendicular to AD.

The distance between CD is 139 feet.

As from points A the boat's crew measure the angle of elevation to the beacon as 6°

therefore, m∠A = 6°

Another time the angle of elevation is measured from point B which is 19°.

therefore, m∠DBC = 19°

tan 19° = CD/BD

BD = CD/tan19°

BD = 136/tan 19°

now for tan 6° = CD/AD (tangent is opposite over adjacent)

AD = CD/tan 6°

AD = 136/tan 6°

AB = AD ₋ BD

AB = 136/tan 6° ₋ 136/tan 19°

AB = 1295.2 ₋ 395.3

AB = 900 feet

hence the distance from point A to B is 900 feet.

Learn more about Heights and distances here:

brainly.com/question/2004882

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5 0

2 years ago

I dont get it i need help

SOVA2 [1]

Answer:

Perpendicular means like making 4 right angles at the intersection, right? So do a light directly upwards through line t from point a. And for 2, do a line from point a to the center of BC, B to the center of AC, and C to the center of AB

Step-by-step explanation:

7 0

2 years ago