Answer:
- $17,500 at 8%
- $17,500 at 14%
Step-by-step explanation:
The fraction that needs to be invested at the higher rate is ...
(11% - 8%)/(14% -8%) = 3%/6% = 1/2
Half the money should be invested at each of the rates:
$17,500 for 8% return
$17,500 for 14% return.
_____
If you let x represent the amount at the higher rate, then the total return is ...
14%x + 8%(35000 -x) = 11%(35000)
(14% -8%)x = (11% -8%)(35000) . . . . subtract 8%·35000
x = (11% -8%)/(14% -8%)×35000 . . . . divide by the coefficient of x
Note that this formula is exactly the one we started with, above.
The Sun, Earth's orbit, the oceans, greenhouse gases, and dust.
<span>Therefore, the triangles ABD and CDB are congruent by SAS</span>
Answer:
<em>(a), (d)</em>
Step-by-step explanation:
Answer:
y = 2x - 4
Step-by-step explanation:
Rearrange the given equation to slope-intercept form.
x + 2y = 2
2y = -x + 2
y = -1/2x + 1
The slope of the given line is -1/2. The slope of a perpendicular line will be the negative inverse, meaning that the slope will be 2.
-1/2 = 2
Find the equation of the new line with the point-slope form using the new slope and given point.
y - y₁ = m(x - x₁)
y - 6 = 2(x - 5)
y - 6 = 2x - 10
y = 2x - 4
The equation will be y = 2x - 4.