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3 years ago

What is the fraction of 1/2+1/3=

Mathematics

2 answers:

Schach [20]3 years ago

7 0

1/6 would be the fraction of 1/2+1/3= 1/6!

Nimfa-mama [501]3 years ago

5 0

Answer: $\frac56$

Work Shown:

$\frac{1}{2}+\frac{1}{3}\\\\\frac{3}{6}+\frac{2}{6}\\\\\frac{3+2}{6}\\\\\frac{5}{6}\\\\$

To visualize this, cut up a circle into 6 equal pieces.

3 of those pieces represent half the circle (3/6 = 1/2)

2 more pieces represent one third (2/6 = 1/3)

We have 3+2 = 5 pieces out of 6 total. This is visual confirmation that 1/2 + 1/3 = 5/6

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3 years ago

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Answer:

-40.5, 60.75, -91.125

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3 years ago

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3 years ago

Mai invests $20,000 at age 20. She hopes the investment will be worth $500,000 when she turns 40. If the interest compounds cont

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Answer:

$\approx$ 17.5% per annum

Step-by-step explanation:

Given:

Money invested = $20,000 at the age of 20 years.

Money expected to be $500,000 at the age of 40.

Time = 40 - 20 = 20 years

Interest is compounded annually.

To find:

Rate of growth = ?

Solution:

First of all, let us have a look at the formula for compound interest.

$A = P \times (1+\frac{R}{100})^T$

Where A is the amount after T years compounding at a rate of R% per annum. P is the principal amount.

Here, We are given:

P = $20,000

A = $500,000

T = 20 years

R = ?

Putting all the values in the formula:

$500000 = 20000 \times (1+\frac{R}{100})^{20}\\\Rightarrow \dfrac{500000}{20000} =(1+\frac{R}{100})^{20}\\\Rightarrow 25 =(1+\frac{R}{100})^{20}\\\Rightarrow \sqrt[20]{25} =1+\frac{R}{100}\\\Rightarrow 1.175 = 1+0.01R\\\Rightarrow R \approx17.5\%$

So, the correct answer is $\approx$ 17.5% per annum and compounding annually.

6 0

3 years ago