Convert 29.5% to a decimal
1 answer:
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Answer:
Step-by-step explanation:
and
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
and will use that as a sub for A in the second equation:
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
C = 12 + 6 so
C = 18
12 + 16 + 18 is the length of the string: 46cm
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,
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;
Therefore;
To the nearest dollar, the initial amount the business invested in 1991, p ≈ $3,450.