All categories

2 years ago

Will give brainliest :,)

Mathematics

2 answers:

shutvik [7]2 years ago

6 0

How much would the investment be worth?

As the function for interest is already given to us, also,

The principal amount, P = $7,000

The rate of Interest, r = 3%

Time period, t = 5 years

Compounded semiannually, n = 2

Substitute the values,

Hence, the worth of the investment after 5 years at an interest of 3% is $8,123.79.

erastovalidia [21]2 years ago

6 0

Answer:

Hello! Let's find the value of Janel's investment after 8 years. In the formula we're using, P will represent the principal amount, r will represent the rate of interest, and t will represent time. Since the interest is compounded semi-annually (twice a year), n = 2. Finally, A represents the value of the investment after t (8 years).

Substitute these values into the formula:

$A = P(1 + \frac{r}{n} )^{nt}$

$A = 7000(1+\frac{0.03}{2} )^{2*8}$

Simplify the equation:

$A = 8882.89883357$

Round this number to the nearest hundredth:

$A = 8882.90$

The correct answer is B. 8,882.90.

I hope this helps you! Have a great day. :)

You might be interested in

One number is 5 more than the other. Their sum is 33. Find the numbers.

dimaraw [331]

Answer:

19,14

Step-by-step explanation:

x=5+y

x+ y= 33

we will solve using substitution

(5+y) +y= 33

5+y+y=33

5+2y=33

subtract 5 from both sides

2y=28

y=14

We got y now we will find what x is

for this, we will substitute y's value (14) into the first equation

x=5+(14)

x=19

we got x too

3 0

3 years ago

The angle measures associated with which set of ordered pairs share the same reference angle? (Negative StartFraction StartRoot

Katarina [22]

Answer:

$(C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)$

Step-by-step explanation:

The reference angle is the angle that the given angle makes with the x-axis.

For an ordered pair to share the same reference angle, the x and y coordinates must be the same or a factor of each other.

From the given options:

$(A)\left(-\dfrac{\sqrt{3} }{2} ,-\dfrac{1 }{2}\right)$ and \left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)\\\\(B)\left(\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(-\dfrac{\sqrt{3} }{2}, \dfrac{1 }{2}\right)\\\\(C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)\\\\(D)\left(\dfrac{\sqrt{3} }{2},\dfrac{1 }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)$

We observe that only the pair in option C has the same x and y coordinate with the second set of points being a negative factor of the first term. Therefore, they have the same reference angle.

5 0

3 years ago

Read 2 more answers

An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect. (a) Use a bin

Advocard [28]

Answer:

a) 0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

b) 0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

Step-by-step explanation:

Binomial distribution:

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

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

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

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

And p is the probability of X happening.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

To use the Poisson approximation for the binomial, we have that:

$\mu = np$

1 in every 2500 automobiles produced has a particular manufacturing defect.

This means that $p = \frac{1}{2500} = 0.0004$

a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 7000 cars.

This is $P(X = 4)$ when $n = 7000$ . So

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

$P(X = 4) = C_{7000,4}.(0.0004)^{4}.(0.9996)^{6996} = 0.1558$

0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p.

Using the approximation:

$\mu = np = 7000*0.0004 = 2.8$ . So

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 4) = \frac{e^{-2.8}*(2.8)^{4}}{(4)!} = 0.1557$

0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

6 0

3 years ago

WILL MARK YOU BRAINLIEST

Irina-Kira [14]

Answer:

it is upside down type it in the coments

Step-by-step explanation:

5 0

3 years ago

A= x^2 -30x+225 The polynomial represents the area (in square feet) of the square playground. a. Write a polynomial that represe

Setler [38]

Answer:

a) The polynomial is equivalent to $A = (x-15)^{2}$ , and the side length of the playground is $x -15$ feet.

b) The perimeter of the playground, measured in feet, is $p = 4\cdot (x-15)$ .

Step-by-step explanation:

a) By Geometry, we know that area of the square is equal to the square of the side length. If $A = x^{2}-30\cdot x +225$ is the area of the square, then must be a perfect square trinomial, that is: