Answer:
Equivalent expression is
Step-by-step explanation:
Given expression is,
First step is to apply distributive property. The property states that,
Applying the property,
Simplifying,
Collecting like terms,
Combining the like terms,
Therefore, equivalent expression is
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Explanation:
There are number of ways to go about this, but let's pick on the sides marked in the diagram below (circled in red and blue). I picked on those sides specifically because they are on either side of the marked angles (A and Q).
They help form the proportion below, in which we'll show later on its a false statement.
AE/PQ = AB/QR
24/(14.5) = 18/(11.5)
24*11.5 = 14.5*18
270 = 261
We arrive at a false statement at the end, so the original proportion is false. Furthermore, it means the figures are <u>not</u> similar.
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We could try the other way around and try to see if
AE/QR = AB/PQ
is true or not
Let's find out
24/(11.5) = 18/(14.5)
24*14.5 = 11.5*18
348 = 207
We see this is false as well. The gap is even bigger than before, so the first scenario was slightly close to having similar polygons. But neither case works perfectly. So that's why we don't have similar polygons and why Tony is correct. It's not enough to look at the angles only when dealing with polygons that have more than 3 sides. If we were just focused on triangles, then Jacenta would be correct.
If Tito took a loan of $10000 from a bank to be repaid within 4 years, at 12% Simple interest per annum, then, he will have to pay overall $4800 as interest to the bank over 4 years and a total payment of $14800 at the end of the 4th year to repay and close off the loan.
As per the question statement, a bank charges 12% Simple interest per annum on cash loans to its clients and Tito took a loan of $10000 from the same bank to be repaid within 4 years.
We are required to calculate the overall interest Tito has to pay to bank if he repays and closes the loan at the end of 4th year, and also to calculate the total payment required to repay and close off the loan at the end of the 4th year.
To solve this question, we need to know the formula to calculate the interest amount in case of simple interest which goes as
Interest (I)
where, "P" = Principle amount of Loan,
"R" = Rate of simple interest charged on the principle per annum, and
"T" = Time period within which, the loan is to be repaid.
Here, (P = 10000), (R = 12%) and (T = 4). Then, the overall interest Tito will have to pay at the end of 4th year =
And total amount to be paid to repay and close of the loan at the end of 4th year will be = $[4800 + 10000] = $14800.
To learn more about Simple Interest, click on the link below.
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