* Danny wants to earn $500,000 by the time he retires. He puts a huge bonus of $20,000 in an
1 answer:
Answer:
See Below
Step-by-step explanation:
The question is asking:
After how many years, 20,000 will become 500,000 at an annual interest of 11.5%?
So, we need compound growth formula shown below to solve this:
F is future value
P is present amount
r is rate of interest
t is the time of year
Given,
F = 500,000
P = 20,000
r = 11.5% = 11.5/100 = 0.115
t is what we want to find
Now, we take natural log of both sides and solve for t:
Its is going to take about 29.57 years, rounding, 30 years
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Answer:
The arc measure, x, that the satellite can see is 160°
Step-by-step explanation:
Given that the two tangents intersect at a point outside the with circle center O
The angle formed between between the two tangent = 20°
The first arc formed is measured as x°, which is the arc opposite the point where the two tangents meet = The arc the satellite can see
The angle x is given by the relationship;
x = 2 × (90 - v/2)
Where;
v = The angle formed at the point where the two tangent meet = 20°
Therefore;
x = 2 × (90 - 20/2) = 2 × (90 - 10) = 2 × 80 = 160°
The arc measure, x, that the satellite can see = 160°.
<h2>Answer:</h2>
From the given graph, we can know two points:
Using the slope intercept form of the equation of a line, we get:
Where the slope is and the y-intercept is
From mathematics, we know that a system of two linear equations has no solution if and only if the two equations have the same slope, but not the same y-intercept. So, from the options, the second equation is:
And the slope intercept form of this equation is:
So the slope is and the y-intercept is
, the systems formed by these two equations has no solution.