Answer:
a. the investment earns 4%
b. yes
Step-by-step explanation:
The "rule of 72" says that an investment earning compound interest at x% will double in value after 72/x years. That is, ...
f(x) = 72/x
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<h3>a.</h3>
We interpret f(4) to mean Becky's friend is interested in the doubling time for an investment that earns 4% interest.
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<h3>b.</h3>
Using the above formula, ...
f(4) = 72/4 = 18
The friend's math is correct.
The different ways that the students can elect a president and a vice president will be 13110.
<h3>What is probability?</h3>
The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,
Given data;
Total no of students = 115
The total number of ways to elect a president = 115
If one person is elected as the president the total number of ways to elect a president = 114
The different ways that the students can elect a president and a vice president are found as;
⇒ 115 ways × 114 ways
⇒ 13110 ways
Hence the different ways that the students can elect a president and a vice president will be 13110.
To learn more about probability, refer to the link;
brainly.com/question/11234923
#SPJ1
Answer:
BD = √97 cm ≈ 9.849 cm
Step-by-step explanation:
Diagonal BD of rectangle ABCD is the hypotenuse of right triangle ABD. Opposite sides of the rectangle are the same length, so we have ...
AB = 4 cm
AD = 9 cm
The sides are related to the diagonals by the Pythagorean theorem.
<h3>Pythagorean theorem</h3>
The Pythagorean theorem tells you the relation between sides and hypotenuse of a right triangle:
AB² +AD² = BD²
4² +9² = BD² = 16 +81 . . . . . evaluating the squares
BD = √97 . . . . . take the square root
The length of BD is √97 cm, about 9.849 cm.
Answer:
3/70
Step-by-step explanation:
change 1/10 and 1/7 so the denominator (bottom number) is the same. 1/10= 7/70 and 1/7= 10/70 so you need 3/70 to make the two numbers equal.