Answer:
-7 7/15
Step-by-step explanation:
-11 2/3 -(-4 1/5) = -11 2/3 + 4 1/5. Now, we need to find the LCM of 3 and 5. The LCM of 3 and 5 is 15 because 15 is the lowest number that can divide both 3 and 5 separately and both results will still be whole numbers.
Now, we have -11 10/15 + 4 3/15.
-11 10/15 + 4 3/15 = -7 7/15.
The answer for this question is B
Answer: $446.25
Step-by-step explanation: If Kevin earns $95 per day after taxes and spends $5.75 for a subway ticket he has $95.00 - $5.75 = $89.25 left per day.
The calculate the amount for 5 days you need to multiply $89.25 by 5 = 5 x $89.25 = $446.25.
Basically estimating is rounding, im going to futher explain this with an example.
For example:
If I wanted to round a number by it's nearest tenth such as 678
(*example)
there are 70 tenths
now when you are estimating when you are rounding to the nearest number if the number has a higher value then 5 you increase the number if it is lower than 5 you STAY the same.
now
678,
since the number next to it is 8, 7 increases and everything else turns into zero. so 678 rounded to the nearest 10th
is 680!
Hope this example helped!
Answer:
1. The equation represent an exponential decay
2. The rate of the exponential decay is -3×2.5ˣ·㏑(2.5)
Step-by-step explanation:
When a function a(t) = a₀(1 + r)ˣ has exponential growth, the logarithm of x grows with time such that;
log a(t) = log(a₀) + x·log(1 + r)
Hence in the equation -3 ≡ a₀, (1 + r) ≡ 2.5 and y ≡ a(t). Plugging in the values in the above equation for the condition of an exponential growth, we have;
log y = log(-3) + x·log(2.5)
Therefore, since log(-3) is complex, the equation does not represent an exponential growth hence the equation represents an exponential decay.
The rate of the exponential decay is given by the following equation;
Hence the rate of exponential decay is -3×2.5ˣ × ㏑(2.5)
