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erastova
16 days ago
7

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

as Alex received?
Mathematics
2 answers:
babunello [8.4K]16 days ago
7 0

Alex's rate of return is 25%.

Detailed explanation:

In this scenario, Alex invested $2,000 in stock. After one year, the value of the stock rose to $2,500. We need to determine the rate of return Alex earned. Let's calculate it:

Initially, Alex placed $2000 into a company and after a year, the stock's worth increased to $2500, which is an increase of:

⇒ 2500-2000

⇒ $500

To find the rate of return, this is computed as:

⇒ \frac{2500-2000}{2000}(100)

⇒ \frac{500}{2000}(100)

⇒ \frac{50}{2}

⇒ 25\%

Thus, Alex's rate of return is 25%.

PIT_PIT [9.1K]16 days ago
5 0

The interest rate equals 25%

Explanation:

Provided data:

Principal amount, P = $2,000

Total amount, A = $2500

Duration, t = 1 year

Interest rate, r =?

We understand:

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

Substituting the known values gives:

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

Thus, the interest rate is 25%

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if you are adding two fractions that are both greater than 1/2 what must be true about the sum? Give three examples to support y
lawyer [9240]

Response:

When combining two fractions that each exceeds 1/2, their sum will invariably exceed 1.

Detailed breakdown: 1/2 + 1/2 = 1    

Since both fractions exceed this amount, it is evident that the sum must as well.

Examples: 2/3+3/4= 1 5/12        4/6+6/9= 1 1/3

Hope this adds clarity

6 0
14 days ago
Before the last school year began, it was estimated that the average discretionary personal expenses each school year for a stud
tester [8842]

Answer:

M=2,179.29

The average exceeds the estimate

Her expenses would need to be $1,625.00

Step-by-step explanation:

1.) What is the mean of her friends' personal expenses?

The mean is defined as the average expense value, calculated as follows:

M=\frac{2,800+1,990+2,005+2,400+1,860+2,200+2,000}{7}\\M=2,179.29

2.) Is the average higher or lower than the estimate?

Given the estimate of $2,110, the average is indeed higher than this estimate.

3.)What amount of personal expenses would Ashley need to maintain a combined average of $2,110 with her friends' amounts for that school year?

M= 2,110=\frac{7*2,179.29+x}{8} \\x=2,110*8 - 15,255\\x=1,625

Her needed amount of expenses would be $1,625.00.

4 0
3 days ago
A quarter is approximately 0.07 inches thick. A dollar bill is approximately 4.3 × 10-3 inches thick.
lawyer [9240]

m = 6.57 and n = -2

Detailed explanation:

To solve this question, convert the thickness of a dollar bill into standard notation and compare the two thicknesses.

0.07 compared to 0.0043 results in 0.0657

0.0657 = 6.57 x 10^-2

Thus, a quarter is thicker than a dollar by 6.57 x 10^-2.

m = 6.57 and n = -2

8 0
3 days ago
The area of the postcard is 24 square inches. What is the width b of the message (in inches)?
Leona [9271]
Area of a rectangle = length x width
For this postcard:
length = 4 in
width = (3+b) in
area = 24 in^2

Substitute into the area formula:
24 = 4 x (3+b)
24 = 12 + 4b
24 - 12 = 4b
12 = 4b
b = 3 in

Therefore:
the length of the postcard = 4 inch
the width of the postcard = b+3 = 3 + 3 = 6 inch
4 0
1 month ago
(HELP!!!) Gustavo invests £520 for 6 years in a bank account paying simple interest. At the end of 6 years, the amount in the ba
Inessa [9000]
629.20 divided by 520 equals 1.21
Power of 6V1.21 equals 1.0323
Interest rate is 3.23
7 0
1 month ago
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