We know that the building is 256.25 m long and that a ratio is 25 meters to 1 inch.
We have to divide the length of a building to 25:
256.25 : 25 = 10.25
Answer: The building will be 10.25 inches long in the sketch.
The number of years is 4.781 in which $21,136.18 amount to $75,514.55 at 27.54% per annum when compounded quarterly and this can be determined by using the formula of the compound interest.
Given :
- Principal amount = $21136.18
- Final amount = $75514.55
- Interest rate per annum = 27.54%
- Compounded quaterly.
The formula of the compound interest is given by:

where A is the final amount, P is the principal amount, r is the interest rate, t is the time in years, and 'n' is a number of times interest applied.
Now, substitute the values of known terms in the above formula.


Now, take the log on both sides.

19.1237 = 4t
t = 4.781 years
Therefore, the correct option is B).
For more information, refer to the link given below:
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Answer:

Step-by-step explanation:
Consider the trapezoid ABCD. In this trapezoid BC=a and AD=b.
Since triangles BOC and AOD are somilar, then

Triangles OAE and CAB are similar, then

This means that

Similarly, from similar triangles FDO and CDB:

Thus,

No - there is a rule that state that the sum of two sides of a triangle must be greater than the 3rd side.
While 9+15 >4
and 4+15 >9
9+4 is not greater than 15 - so this triangle cannot be made.
Answer:
Her new balance is Zero
-$27 + $27 = $0
Step-by-step explanation:
She has a debt of 27$ (-27 $).
If she goes to the bank to deposit 27$ (+27$)
Then, her balance would be
-$27 + $27 = $0