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balu736 [363]
3 years ago
12

Convert 29.5% to a decimal

Mathematics
1 answer:
cricket20 [7]3 years ago
7 0
Whatever% of anything is just (whatever/100) * anything.

thus 29.5% of something, is just (29.5/100) * something, and the decimal form of 29.5% is just 29.5/100 or the quotient of 29.5÷100.
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Step-by-step explanation:

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3 years ago
A piece of ribbon is cut into 3 different pieces A, B and C. The ratio of the length of A to the length of B is 3 : 4. The ratio
dusya [7]

Answer:

Step-by-step explanation:

\frac{A}{B}:\frac{3}{4}   and   \frac{B}{C}: \frac{8}{9}  and we are told that C is 6cm longer than A.  That means that C = A + 6.

We are going to cross multiply each one of those ratios.  The first one gives us

4A = 3B  and the second one gives us

9B = 8C.  But since C = A + 6, then

9B = 8(A + 6) and

9B = 8A + 48 and

Now we will solve the first equation above for A:

If 4A = 3B, then

A=\frac{3}{4}B and will use that as a sub for A in the second equation:

9B=8(\frac{3}{4}B)+48  and

9B = 6B + 48 and

3B = 48 so

B = 16.

Now that we know B, we can use it to solve for A:

4A = 3(16) and

4A = 48 so

A = 12.

Then we can use that all the way back in the expression we set up for C:

C = A + 6 so

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3 0
3 years ago
What is the exponent for 23,000 when writen in scientific notation​
Fiesta28 [93]

Answer:

2.3 x 10⁴

Step-by-step explanation:

23000 is the number. You need the decimal to be in between the two whole numbers that aren't 0.

2.3 <

2.3 x 10, the exponent after the ten has to move the decimal to the original number of spaces in the original number 23000.

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2.3 x 10⁴

8 0
3 years ago
A business has a savings account that earns a 3% annual interest rate. At the end of 1996, the business had $4,000 in the accoun
olya-2409 [2.1K]

Answer:

The amount the business initially invested in 1991 is approximately;

A. $3,450

Step-by-step explanation:

The question relates to investment and finance

The parameters given are;

The annual interest rate on the business savings account = 3%

The amount the business had in the account at the end of 1996 = $4,000

The given formula used to determine the final amount in the savings account, F = p \cdot \left(1 + \dfrac{r}{100} \right )^t

Where;

F = The final amount

p = The initial (principal) investment

r = The annual interest rate

t = The time in years

Therefore, we have;

The required information = The initial amount, 'p', the business invested in 1991

The time in years, 't', from 1991 to 1996 = 1996 - 1991 = 5

∴ The time in years from 1991 to 1996, t = 5 years

The final amount in 1996, F = $4,000

r = 3%

Plugging in the values in the given equation gives;

4000 = p\cdot \left(1 + \dfrac{3}{100} \right )^5

Therefore;

p = \dfrac{4000}{\left(1 + \dfrac{3}{100} \right )^5} = 3,450.43513754

To the nearest dollar, the initial amount the business invested in 1991, p ≈ $3,450.

3 0
3 years ago
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