Estimate the value of 9.9 squared x 1.79
2 answers:
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Answer:
A sum of $12,000 should be allocated at an interest rate of 5.25%, while $13,000 should be put in at 4%.
Step-by-step explanation:
Recall that
The simple interest formula is given by
where
I represents the total interest earned,
P is the initial investment,
r stands for the interest rate, and
t is the number of time periods.
Define
x as the amount invested at 5.25%,
and (25,000 - x) as the amount put in at 4%.
From the problem,
Plugging these into the formula:
Now, isolate x:
Hence, investing $12,000 at 5.25% and $13,000 at 4% meets the required interest condition.
The equation representing the circle centered at (-27, 120) that passes through the origin is:
Solution:
The general equation of a circle is expressed as:
Where,
(a, b) denotes the center of the circle
r signifies the radius
Given the center as (-27, 120)
Thus;
a = -27
b = 120
Considering it intersects the origin, meaning (x, y) = (0, 0)
Substituting (a, b) = (-27, 120) and (x, y) = (0, 0) into the equation
Input = 15129 and (a, b) = (-27, 120) into the equation
Hence, the equation characterizing the circle is determined