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pav-90 [236]
2 years ago
9

According to the rule of 72, if Arielle invests $100, $200, and $2000 into three separate accounts with the same interest rate,

which amount will double fastest?
Mathematics
2 answers:
krok68 [10]2 years ago
5 0
The rule of 72 is an approximate estimate of the time it takes to double an investment, and depends only on the interest rate.  So amount of deposit does not change the estimate.  All three accounts will take the same time to double.

If the accounts are all deposited on the same day with the same interest rate and same compounding period, they all double at the same time, whether using the rule of 72 or the actual time.
makkiz [27]2 years ago
5 0

Answer:

All of them will double at the same time.

Step-by-step explanation:

The rule of 72 wa created to have an estimate of how long will an account that pays interests will take to double its value, in this case, as they all have the same interest rate, and the rule of 72 depends only on the interests that the account pays, there will be no difference between the doubling time of the accounts since eventhough they all have different amounts of money, having the same interest rate, will make them grow at the same rate.

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What is the sum of 14 and the opposite of 12
frozen [14]

I'm assuming that by "opposite of 12", it means -12

If so, the answer would be 2

5 0
2 years ago
On Friday,Merida uses 1/4 of the box of pancake mix to make pancakes. On Saturday, she use 1 1/2 times as much pancake mix as Fr
allsm [11]

Answer: 1/2

Step-by-step explanation: because it saying how much and how many days she use

6 0
1 year ago
Match the x-coordinates with their corresponding pairs of y-coordinates on the unit circle.
jeka57 [31]
<span>y=+- square root 5 over 3

y^2 + x^2 = 1 => x^2 = 1 - y^2 = 1 - 5/9 = 4/9 => x = +/- 2/3

Answer: x = +/- 2/3

y=+- square root 7 over 3

y^2 + x^2 = 1 => x^2 = 1 - y^2  =  1 - 7/9 = 2/9 => x = +/- (√2) / 3

Answer: x = +/-(√2)/3

y=+- 3 over 3

x^2 = 1 - y^2 = 1 - 3/9 = 1 - 1/3 = 2/3 => x = +/-(√2/3)

Answer: x = +/-√(2/3)

y=+- 2 square root 2 over 2

= y = +/- 2(√2) /2 = √2  ...... these y-coordinates are out of the unit circle, then there is not a corresponding x - coordinate for them.

</span>
5 0
2 years ago
A particular convex pentagon has two congruent, acute angles. The measure of each of the other interior angles is equal to the s
NNADVOKAT [17]

1. First, you must apply the formula for calculate the sum of the interior angles of a regular polygon, which is shown below:


 (n-2) × 180°


 "n" is the number of sides of the polygon (n=5).


 2. Then, the sum of the interior angles of the pentagon, is:


 (5-2)x180°=540°


 3. The problem says that the measure of each of the other interior angles is equal to the sum of the measures of the two acute angles and now you know that the sum of all the angles is 540°, then, you have:


 α+α+2α+2α+2α=540°

 8α=540°

 α=540°/8

 α=67.5°


 4. Finally, the larger angle is:


 2α=2(67.5°)=135°


 5. Therefore, the answer is: 135°

6 0
2 years ago
Find the simplified quotient. (2x^2 + 5x +3 / x^2 - 3x -4) / (4x^2 + 2x - 6 / x^2 - 8x + 16)
irinina [24]

ANSWER

\frac{x - 4}{2x - 2}

EXPLANATION

The given expression is;

\frac{2 {x}^{2}  + 5x + 3}{ {x}^{2}  - 3x - 4}  \div  \frac{4 {x}^{2}  + 2x - 6}{ {x}^{2}  - 8x + 16}

We factor to obtain;

\frac{(x + 1)(2x + 3)}{(x - 4)(x + 1)}  \div  \frac{2(x - 1)(2x + 3)}{(x - 4)(x - 4)}

Multiply by the reciprocal of the second fraction

\frac{(x + 1)(2x + 3)}{(x - 4)(x + 1)}  \times \frac{(x - 4)(x - 4)}{2(x - 1)(2x + 3)}

Cancel out common factors to get,

\frac{1}{1}  \times \frac{(x - 4)}{2(x - 1)}

\frac{x - 4}{2x - 2}

8 0
2 years ago
Read 2 more answers
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