The interest rates required to get a total amount of $2,420 from compound interest on a principal of $2,000 compounded 1 times per year over 2 years is 10% per year.
<h3>What is compound interest?</h3>
The interest on savings that is calculated on both the initial principal and the interest accrued over time is known as compound interest.
The concept of compound interest, also known as "interest on interest," is thought to have first appeared in Italy in the 17th century. It will accelerate the growth of a sum more quickly than simple interest, which is calculated only on the principal sum.
Money is multiplied more quickly through compounding, and the more times it is compounded, the higher the compound interest will be.
Using the formula A = P(1 + r/n)^nt
Solving for rate r as a decimal
r = n[(A/P)^(1/nt) - 1]
r = 1 × [(2,420/2,000)^{1/(1)(2)} - 1]
r = 0.1
Then convert r to R as a percentage
R = r × 100
R = 0.1 × 100
R = 10%/year
Learn more about compound interest
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Answer:
0.1056
Step-by-step explanation:
Mean(μ) = 12 ounce
Standard deviation (σ) = 0.2 ounce
P(x<11.75) = ???
Let x be the random variable for the amount of soda a machine will dispense.
Using normal distribution
Z = (x - μ) / σ
Z = (11.75 - 12) / 0.2
Z = (-0.25)/0.2
Z = -1.25
From the normal distribution table
1.28 is 0.3944
Φ(z) is the tabular value of z
Φ(z) = 0.3944
Recall that when Z is negative
P(x<a) = 0.5 - Φ(z)
P(x < 11.75) = 0.5 - 0.3944
= 0.1056
Answer: 10 and 11, also -11 and -10
Sqrt 100 is well known to be 10
Sqrt 121 is 11
Step-by-step explanation:
Positive Sqrt is monotone increasing
So Sqrt 105 is between sqrt 100 and sqrt 121
Second answer
Sqrt 100 is less well known to also be -10
Negative sqrt is monotone decreasing
Sqrt 121 is also -11
Sqrt 105 is also between -121 and -100
An isometric transformation is a transformation of the objects position, without changing the object itself. There are three types of isometric transformation; translation, reflection, and rotation. Nonisometric transformations change and alter the dimension or shape of an object, like enlargement.
