Answer:
$1,140, or $1,144.9
Step-by-step explanation:
70 is 7% of 1,000
70 x 2 = 140
140 + 1,000 = 1,140
Or, if you mean 7% compounded annually then....
1,070 after first year.
7% of 1,070 = 74.9
74.9 + 1,070 = 1,144.9
If you add the two numbers, 10 +8 is 18. The fractional parts are 1/4 and 2/4 which equals 3/4. So the total length is 18 and 3/4 feet.
Recall the inverse function theorem: if f(x) has an inverse, and if f(a) = b and a = f⁻¹(b), then
f⁻¹(f(x)) = x ⇒ (f⁻¹)'(f(x)) • f'(x) = 1 ⇒ (f⁻¹)'(f(x)) = 1/f'(x)
⇒ (f⁻¹)'(b) = 1/f'(a)
Let b = 10. Then pick the function f(x) such that f(a) = 10 and f'(a) = -8 for some number a.
Answer:
a) y = 2x +4
b) y = 1/2x +4
c) y = -2x +11
Step-by-step explanation:
The given equations are in slope-intercept for, so we can read the slope directly from the equation. It is the x-coefficient.
We can then write an equation of a parallel line using the point-slope form of the equation of a line:
y -k = m(x -h) . . . . for a line with slope m through point (h, k)
If you like, you can rearrange this to "slope-intercept" form. Add k and simplify.
y = mx +(k -mh)
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a) m = 2, (h, k) = (3, 10)
y = 2x +(10 -2·3)
y = 2x +4
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b) m = 1/2, (h, k) = (0, 4)
y = 1/2x +(4 -(1/2)·0)
y = 1/2x +4
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c) m = -2, (h, k) = (4, 3)
y = -2x +(3 -(-2)(4))
y = -2x +11
