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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we know that
<u>Vertical angles</u> are a pair of opposite and congruent angles formed by intersecting lines.
so
Let
x1---------> angle vertical 1
x2---------> angle vertical 2
x1=x2 ------> equation 1
in this problem
if the vertical angles formed are supplementary
that means that
x1+x2=180 ------> equation 2
substitute equation 1 in equation 2
x1+x1=180
2x1=180
x1=180/2
x1=90 degrees
therefore
<u>the answer is</u>
The vertical angles are right angles
Answer:
DELETE i will answer later doe:)
Step-by-step explanation:
Hello!
The dimensions that maximize its area is when the width and the length are the same
The dimensions for the highest area is 40 x 40
The answer is 40 by 40
Hope this helps!
Answer:
There is 170 cm³ free space in the container.
Step-by-step explanation:
Cylindrical container: height = 18 cm ; diameter = 6 cm.
3 balls each have a radius of 3 cm.
Volume of a cylinder = π r² h
V = 3.14 * (3cm)² * 18 cm
V = 508.68 cm³
Volume of rubber ball = 4/3 π r³
V = 4/3 * 3.14 * (3cm)³
V = 113.04 cm³
113.04 cm³ * 3 balls = 339.12 cm³
508.68 cm³ - 339.12 cm³ = 169.56 cm³ or 170 cm³
