Country S has 12,345,000 residents who tested positive for COVID-19. What is the largest place value of the numeric part of this quantity?
??? Million
Two weeks before an examination day, a librarian monitored the number of students who visited the library. Then they compared it with the number of visits made in an average week. Approximately 2 × 10^3 visits were reflected in their logbook during this two-week period, while only about 5 x 10^2 were reflected on an average week. How many times higher is the number of library visits before examination day compared to the library visits in an average week? Your answer should be a whole number.
Number of visits before examination day = 2 × 10^3
Number of visits in an average week = 5 × 10^2
So, the calculation would be:
(2 × 10^3) / (5 × 10^2)
To simplify this, you can cancel out common factors between the numerator and denominator. In this case, you can cancel out a factor of 10^2:
(2 × 10^3) / (5 × 10^2) = (2/5) × 10^(3-2)
Now, calculate the fraction:
(2/5) × 10^1 = (2/5) × 10 = 0.4 × 10 = 4
So, the number of library visits before the examination day is 4 times higher than the number of visits in an average week.
It takes 10 years for a $100 monthly bank deposit to amount to $15,528.23 when invested at 5% interest compounded monthly. Round to the nearest place value, then express the amount of $15,528.23 in the form of a×10n where a is single digit.
A = the future value of the investment/loan, including interest
P = the monthly deposit amount ($100)
r = annual interest rate (0.05 for 5%)
n = number of times the interest is compounded per year (12 for monthly)
t = the number of years (10 years in this case)
Now, plug in these values and calculate the future value:
A = 100 * [(1 + 0.05/12)^(12*10) - 1] / (0.05/12)
A ≈ 100 * [(1 + 0.00416667)^(120) - 1] / 0.00416667
A ≈ 100 * [(1.00416667^(120) - 1) / 0.00416667
A ≈ 100 * [(1.647009049) / 0.00416667
A ≈ 100 * 395.2794171
A ≈ 39,527.94 (rounded to the nearest cent)
Now, to express the amount $15,528.23 in the form of a×10^n where "a" is a single digit, we can use scientific notation.
$15,528.23 is equivalent to $1.552823 × 10^4 (since you want a single digit "a").
Answer 2 x 10^4
The number is 12,345,000.
A total of 7,803,100 tourists visited Country A from the year 2018 to the year 2020. Round to the nearest place value, then express this number in the form of a single digit times an integer power of 10.
A total of 7,803,100 tourists visited Country A from the year 2018 to the year 2020. Round to the nearest place value, then express this number in the form of a single digit time an integer power of 10...
8x10^6