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32) Rules of 70 and 72: The rules state that it takes about 70/i of 72/ i years for money to double at i percent, compounded continuously, using whichever of 70 or 72 is easier to divide by i. a) Show that it takes t=ln 2/r years for money to double if it is invested at annual interest rate r (in decimal form) compounded continuously. b) Graph the functions y_1=ln2 / r, y_2=70/100r, y_3=72/100r 0<=r<=0.1 and 0<=y<=100 viewing window. c) Explain why these two rules of thumb for mental computations are reasonable.
Calculus
Mar 24, 2025
Find the equation (in terms of x) of the line through the points (-2,4) and (4,-14). y=
Algebra
Mar 24, 2025
Dominic has four unexpected expenses, including a broken TV, increased
insurance costs, a broken-down car, and a hole in a shoe. Which of these
expenses would be considered an emergency?
Select a response.
television
insurance
new repairs
Everyday
Mar 23, 2025
Alida works from home. Which item is a want for her
Selecṭ a response.
Cell phone
Internet
Groceries
Streaming service
Economics
Mar 23, 2025
lim_(x-> 7^{-}) f(x)=2 and lim_(x-> 7^{+}) f(x)=2, but f(7)=-2. What can you say about lim_(x->7)f(x)?
Calculus
Mar 23, 2025
9 Multiple Choice 1 point
How many kilograms in 25 grams?
Select the answer with correct units and rounded to 2 significant figures.
Arithmetic
Mar 23, 2025
Xavier mixes \( \frac{4}{5} \) bucketsof coarse sand with \( 1 \frac{1}{5} \) buckets of cement to make a
special type of concrete. How many buckets of concrete will he make?
Tasneem is an intern at ZX Communications Agency. She earns R4 500 a month
\( 1.2 .1 \quad \) Write the number 4500 in scientific notation.
\( 1.2 .2 \quad \) Increase R4500 in the ratio \( 5: 6 .(2 \times 2) \)
Arithmetic
Mar 23, 2025
1) Pat bounces a basketball 25 times in 30 seconds. At that rate, approximately how
many times will Pat bounce the ball in 150 seconds?
Answer:
Arithmetic
Mar 23, 2025
If you roll a 6 -sided die 12 times, what is the best prediction possible for the number of times
you will roll an odd number?
Submit
Probability
Mar 23, 2025
Why does doubling the mass of an object double its weight, but doubling its distance
from the center of Earth reduces its weight fourfold? Hint: think of the affects of
gravity and distance
The weight is half the gravitational force between the object and Earth
The weight is equal to the gravitational force between the object and Earth, and the
gravitational force is inversely proportional to the distance squared between the object and
Earth
The weight is directly proportional to the square of the gravitational force between the object
and Earth
The weight is two times the gravitational force between the object and Earth
Physics
Mar 23, 2025
Homework Origins and How Question Bank Helps
Who Invented Homework?
Homework dates back to the late 19th century, often being credited to an Italian educator named Roberto Nevilis as its creator. Nevilis introduced homework-like assignments as an extra means of reinforcing education outside school hours; although homework-type assignments existed prior to Nevilis. Indeed, ancient civilizations such as Greeks and Romans utilized similar strategies of reinforcing learning outside classroom hours. While Nevilis formalized this practice into homework as we know it today; its meaning has significantly evolved with different cultural and educational influences shaping its current meaning over time.
Does Homework Help Students Learn?
Yes, homework can be a useful tool for reinforcing what children learn in the classroom, but its efficacy is dependent on numerous things. According to research, homework that is purposeful and balanced can help students acquire crucial skills such as time management, critical thinking, and problem solving. However, excessive or badly designed schoolwork can cause stress and exhaustion. Homework works best when it is designed to reinforce key concepts, foster independent thinking, and provide opportunities for personal reflection. So, while homework can be beneficial, the trick is determining the appropriate amount and manner to help pupils learn without overwhelming them.
How Can Question Bank Help You?
Question Bank by UpStudy is an invaluable tool designed to aid students in tackling homework across an array of subjects. As an extensive question bank that mirrors real student homework problems, Question Bank ensures the content remains practical and applicable for the task at hand. No matter your subject matter--be it math, science or history - Question Bank provides questions curated specifically to match assignments from real students; helping you practice key concepts while simultaneously preparing you for exams by offering expertly sourced questions that enable smart studying with deeper material grasp and greater insight!
