The amount in the account after the given time if compounded semiannually is $1104.2
<h3>Compound interest </h3>
Interest is any amount added on a sum of money over a period of time. The formula for calculating the compound interest is:
A = P(1+r/n)^nt
Given
P = $1000
rate r = 0.05
time =3years
n = 2
Substitute
A = 1000(1 + 0.05/3)^3(2)
A= 1000(1.1042)
A = $1104.2
Hence the amount in the account after the given time if compounded semianually is $1104.2
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Step-by-step explanation:
Area of a trapezium = SOPS/2 × ph
Sops is the sum of 4+10 = <u>1</u><u>4</u>
14/2 is 7. 7×4 = <u>2</u><u>8</u>
<u>A</u><u> </u><u>=</u><u> </u><u>2</u><u>8</u><u>c</u><u>m</u><u>²</u>
Area = L×W
10×6= 60cm²
Based on the fact that the radius of the snowball increases by 0.36 inches every second, the linear function can be found to be y = 0.36x + 1.66
<h3>How to find the linear function?</h3>
The linear function is the function that shows how to change in the rate of the independent variable would affect the rate of change in the dependent variable.
The linear function takes the form:
y = mx + b
y = dependent variable
m = slope or change in radius of snowball
x = seconds
b = y-intercept
Solving for the y-intercept gives:
3.1 = 0.36(4) + b
b = 3.1 - 1.44
= 1.66
The linear function is therefore:
y = 0.36x + 1.66
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Box-and-whisker plot
We are given the box-and-whisker plot that summarizes the magnitude of earthquakes.
The minimum value of the dataset is 2,5
The maximum value of the dataset is 8.5
The range is the difference:
Range = 8.5 - 2.5 = 6
Range = 6
QUESTION:
When you factor a little perfect square trinomial, which pattern results?
ANSWER:
[2] The square of a binomial pattern.
EXPLANATION:
<u>Squaring a binomial creates a perfect square trinomial</u>:–