Use the graph below for this question:

Alex invests $2,000 in a company's stock. After a year, the value of Alex's stock has increased to $2,500. What rate of return h

Kay [80]

The rate of interest is 25%

Explanation:

Given:

Principal, P = $2,000

Amount, A = $2500

Time, t = 1 year

Rate of Interest, r = ?

We know:

$Amount = P(1+\frac{r}{100})^t$

On substituting the value we get:

$2500 = 2000 (1 + \frac{r}{100})^1\\ \\\frac{25}{20}= (1+\frac{r}{100})\\$

$\frac{5}{20} = \frac{r}{100}\\ \\r = \frac{100 X 5}{20} \\\\r = 25$

Therefore, the rate of interest is 25%

5 0

3 years ago

Read 2 more answers

An Air Force plane flew to the

Free_Kalibri [48]

Answer:

5 hours

Step-by-step explanation:

Time taken for trip : t + 1

Time taken for return : t

Avg. speed (trip) : 256 km/h

Avg. speed (return) : 320 km/h

The distances covered on both trips are equal.

⇒ Distance (trip) = Distance (return)

⇒ Speed (trip) × time (trip) = Speed (return) × time (return)

⇒ (256)(t + 1) = (320)(t)

⇒ 256t + 256 = 320t

⇒ 64t = 256

⇒ t = 4 hours

Time (trip) = t + 1 = 4 + 1 = 5 hours

4 0

2 years ago

Un vehiculo parte del reposo con una velocidad constante de 2 m/seg 2 y se mueve durante 5 segundos, su desplazamiento durante e

Andreas93 [3]

Answer:

The BLM presents awards to companies that minimize negative effects on the environment while mining natural resources. One such award is called the Hardrock Mineral Environmental Award. The BLM awards it to the mining company that has best fulfilled federal, state, or local requirements with little help from government agencies.

How does giving this award help the BLM more effectively manage land resources?

It prevents the companies from mining land resources such as gold and coal.

It informs companies about which minerals can be mined and which cannot be mined.

It encourages companies to follow rules set by government agencies.

It educates the companies about ways hard rock mining can destroy land resources.

7 0

3 years ago

A dairy cow can produce up to 2000 gallons of milk every 365 days. At this rate, a cow can produce x gallons of milk in 500 days

Mariulka [41]

First I cant understand the choices, because on how you type so I will jus provide the answer for you. First the amount of milk produce is proportional to the number of days so

2000 = k(365)

K = 2000 / 365

So to solve for x

X = ( 2000/365) 500

X = 2740

5 0

3 years ago

Which equation could be used to find the zeros of the function f(x) = 6x2-11x-10 = 0 ? (x+2)(x-5) = 0 (3x+2)(2x-5) = 0 (x-10)

Alex Ar [27]

Answer:

(3x+2)(2x-5) = 0

Step-by-step explanation:

In the multiple choice options, all of the answers are in factored form. Factored from for quadratic equations are used to find the zeroes, when you equate each factor to 0.

Remember quadratic equations are in the form ax² + bx + c = 0.

Factor 6x² - 11x - 10 = 0:

I will use the cross factors or "X" method.

Write out the factors for "a" and "c" vertically (see diagram 1).

Test a pair of factors from "a" and a pair of factors from "c". Cross multiply them and add their products. If the sum of their products is "b", you found the factors.

The value of "b" is -11.

Example 1: (diagram 2)

I will try if the highlighted pairs of factors work. Multiply the pairs diagonally, which gives me "1" and "-60". The sum of "1" and "-60" is -59.

-59 is not -11; this is not the pair we want.

Example 2: (diagram 3)

Try another pair. Multiply 2*5=10 and 3*-2= -6. Add them together; -6 + 10 = 4.

4 is not -11; this is also wrong.

Example 3: (diagram 4)

Multiply 2*2=4 and 3*-5= -15.

Add the answers: 4 + (-15) = -11.

-11 is "b". Keep these factor pairs.

Find the factors: (diagram 5)

The factors are found by reading across the top and the bottom. Include "x" with the first factor.

(2x-5)(3x+2) = 0 or (3x+2)(2x-5) = 0

4 0

3 years ago