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Andre45 [30]
3 years ago
9

Marta invested $5, 425 in the stock market and earned 8.5% interest. How much money will Marta have in her account after one yea

r? Round your answer to the nearest cent.
Mathematics
1 answer:
Semenov [28]3 years ago
6 0

Answer:

Future Value= $5,886.13

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $5,425

Number of periods (n)= 1 year

Interest rate (i)= 8.5% = 0.085

<u>To calculate the future value after one year, we need to use the following formula:</u>

<u></u>

FV= PV*(1+i)^n

FV= 5,425*(1.085^1)

FV= $5,886.13

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Tony separates a number of paintbrushes, x, into 3 equally sized groups. He claims that this is the same as making a group 1/3 t
DochEvi [55]

Answer:

Size of each group = \frac{x}{3}

Step-by-step explanation:

Total number of paint brushes = x

Since each the three groups are equally sized, to get the number of paintbrushes in a group, we will have to divide the total number of paint brushes by 3

∴ We have, number of paint brushes in a group = \frac{Total number of paintbrushes}{3}\\

= \frac{x}{3}

this is also the same thing as saying \frac{1}{3}×\frac{x}{1}

This shows that the size of the new group is the same as \frac{1}{3} the size of the original group

4 0
3 years ago
Ms. Wolf’s first job was at a frozen yogurt shop where she made $9 per hour. After a raise, Ms. Wolf earned $9.75 per hour. What
Ber [7]

Answer:

8 percent

Step-by-step explanation:

9.75/9 is 1.08, which means 8 percent

7 0
3 years ago
Each side of an equilateral triangle measure 11 centimeters. To the nearest tenth of an centimeter, what is the length of the al
Orlov [11]
The length of the altitude is 9.5 cm.

The altitude bisects the base of the equilateral triangle (this is because the two sides emerging from the vertex are equal).  This gives us a right triangle with leg 5.5 and hypotenuse 11.  We use the Pythagorean theorem:

5.5² + h² = 11²
30.25 + h² = 121

Subtract 30.25 from both sides:
30.25 + h² - 30.25 = 121 - 30.25
h² = 90.75

Take the square root of both sides:
√h² = √90.75
h = 9.5
3 0
3 years ago
The diameter of a basketball is 245 cm. What is the circumference?​
maks197457 [2]

Answer: 769.3

Step-by-step explanation:

C=2\pi r\\

C=2*3.14*122.5

245/2=122.5

C=769.3

5 0
3 years ago
Which calculation could not be used to find the percentage change
bogdanovich [222]

Answer:

Option (B).

Step-by-step explanation:

Percentage change between two numbers a and b can be calculated by the formula,

% change = \frac{|b-a|}{a}\times 100

Where, (b - a) = Change in values

a = Initial value

If a = 16 and b = 20

Percentage change between 16 and 20 will be,

= (\frac{20-16}{16})\times 100

= \frac{4}{16}\times 100

= 25%

If a = 20 and b = 16,

Percentage change = \frac{|16-20|}{20}\times 100

                                 = 20%

Therefore, %change between 16 and 24 may be 16% or 20%.

Option (A),

\frac{20-16}{16}\times 100 = 25%

Option (B),

\frac{20}{16}-1\times 100 = 1.25 - 1 × 100

                   = 1.25 - 100

                   = -98.75%

Option (C),

100\times \frac{1}{4} = 25%

Option (D),

\frac{(20-16)}{20}\times 100 = 20%

Therefore, we can not use the calculation used in Option (B).

6 0
3 years ago
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