Answer:
4 hours
Step-by-step explanation:
Let the number of hours = x.
Jay reads 55 pages per hour, so in x hours, he reads 55x pages.
After reading for x hours, he has 278 - 55x pages left to read.
Odhran reads 45 pages per hour, so in x hours, he reads 45x pages.
After reading for x hours, he has 238 - 45x pages left to read.
Since we want to know when they have the same number of pages left, we set the expressions equal and solve for x.
278 - 55x = 238 - 45x
Add 45x to both sides.
278 - 10x = 238
Subtract 278 from both sides.
-10x = -40
Divide both sides by -10.
x = 4
Answer: 4 hours
Step-by-step explanation:
-(-5x + 3) = 17
5x - 3 = 17
5x = 20
x = 4.
Answer:
<u>The balance in the account after 10 years is US$ 2,442.81</u>
Step-by-step explanation:
1. Let's review the data given to us for answering the question:
Investment amount = US$ 2,000
Duration of the investment = 10 years
Annual interest rate = 2% compounded continuously
2. Let's find the future value of this investment after 10 years, using the following formula:
FV = PV * eˣ ⁿ
PV = Investment = US$ 2,000
number of periods (n) = 10 (10 years compounded continuously)
rate (x) = 2% = 0.02
e = 2.71828 (Euler's number)
Replacing with the real values, we have:
FV = 2,000 * (2.71828)^0.02*10
FV = 2,000 * 2.71828^0.2
FV = 2,000 * 1.2214027
<u>FV = US$ 2,442.81</u>
It's a reflection :) look up colin Dodds geometric transformations that's how I learned it it's a fun song
Hey mate ,
here is your answer
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The average between any two rational numbers is also rational.
(7.7 + 7.9)/2 = 7.8
7.8 is rational because it can be written as a fraction with integer numerator and denominator (39/5) and it is also a terminating decimal.
