Answer:
The equation is following the mathematical rule of multiplying exponents.
Step-by-step explanation:
As an example to back up the answer, when you have half of a dollar, that is $0.50, if you took a half (1/2) of $0.50 that would be one fourth (1/4) of a dollar, but half of 50 cents ($0.50) A similar thing is happening with this problem. When you have two numbers (2 and 4) when you multiply them together, they equal to eight (8) for this problem, when you multiply two exponents together, you are raising the coefficient (a real number like 6) to the power of 2, and then taking that number and multiplying it by the power of 4. This is similar to the half of 50 cents, is equal to 1/4 of dollar ($0.25)
Hope this helps explain multiplying exponents together, and the mathematical rule behind it.
Solution:
Principal =P= $ 7,500
Option A→(Simple interest)
Rate of interest= R=4%
Time(
)=4 years
Time(
)=6 years
Amount= Principal + Interest(Simple or compound interest)
Formula for Simple interest
Total amount after 4 years when interest is simple= 7500 +1200= $ 8700
Total amount after 6 years when interest is simple= 7500 +1800= $ 9300
Option B
Formula for amount(A) when interest is 3.15% compounded annually.
Total amount after 4 years when interest is compounded annually=$ 8491 (approx)
Total amount after 6 years when interest is compounded annually=$ 9034(approx)
The correct answer is y = 11
because:
2y + 7 = 3y − 4
−y + 7 =−4
Subtract 7 from both sides.
−y + 7 − 7 = − 4 − 7
−y = −11
Divide both sides by -1.
y = 11
50% chance they will land on the same number and there’s also a 50% chance they won’t.
