<span>it depends how the interest is calculated, but there's not much of a difference
assuming its continuously compouned, you use this formula: A(t)=Pe^(rt), where A is the final amount, P is the initial investment, r is the interest, and t is the time in years
you want to find t such that A(t)=18,600 so 18,600=1000e^(.0675t)
you need to use logarithm to figure it out, take the natural log of both sides
the following properties will come into use:
ln(a*b)=ln(a)+ln(b)
ln(a^b)=bln(a)
ln(e)=1
taking the natural log
ln(18,600)=ln(1000e^(.0675t))
ln(18,600)=ln(1000)+ln(e^.0675t)
ln(18600)=ln(1000) + .0675t
now solve for t: t= (ln(18600)-ln(1000))/.0675
t=43.31</span>
Answer:
Equation of the line: .
Step-by-step explanation:
Let and denote the coordinates of these two points, respectively.
Calculate the slope of this line:
.
Notice that the slope is zero because the two points have the same -coordinates () even though their -coordinates are distinct (.)
Equation for this line in point-slope form:
.
.
Rewrite and simplify to obtain the equation of this line in slope-intercept form:
.
The -term was eliminated because the slope was zero.
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Find area of one triangle
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Area of triangle = 1/2 x base x height
Area of triangle = 1/2 x 9 x 11.75
Area of triangle = 52.875 ft²
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Find area of two triangles
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Area of 2 triangles = 52.875 x 2
Area of 2 triangles = 105.75 ft²
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Find the cost of the flower beds
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1 ft² = $4.25
105.75 ft² = 105.75 x 4.25
105.75 ft² = $449.44 (nearest hundredth)
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Answer: $449.44
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Answer: 6872
Step-by-step explanation:
8 x 859 = 6872
I could be wrong but 20.5 and 7.5