Answer:
Length = 13 cm
Width = 10 cm
Step-by-step explanation:
We are told that;
- The length of the rectangle is 3 cm more than the width
- Thus taking, the width as x cm
- Then, the length will be (x+3) cm
- The perimeter of the rectangle is 46 cm
We are required to determine the dimensions of the rectangle;
We know that the perimeter of a rectangle is given by the formula;
P = 2(l+w)
In this case;
46 = 2 ( x + x + 3)
Thus;
4x + 6 = 46
Solving for x,
4x = 40
x = 10
This means, the width is 10 cm, while the length is 13 cm
Therefore, the dimensions of the rectangle is length 13 cm and width 10 cm
Answer:
The answer is 500
Step-by-step explanation:
500/10=50
<span>Moxie wants to have $5000. how much money does she have to deposit in an account at 6% interest, compounded 3 times per year, in order to have $5000 at the end of 6 years? The formula for compound interest AMOUNT is
A = P (1 + r/n)^(nt),
where P is the principal and must be calculated here; A is the amount Moxie wants to have after 6 years, and is $5000; r is the annual interest rate, expressed as a decimal fraction: 0.06; n is the number of compounding periods per year, which here is 3; and t is the time, in years, here equal to 6.
Solve the following for P: $5000 = P (1 + 0.06/3)^(3*6)
Hint: $5000 = P (1.02)^18
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