Answer:
$2353 at 12.5% and $7647 at 8.25%
Step-by-step explanation:
I'll say a is the amount he invested in one market, and b is the amount in the other.
a + b = 10000, or b = 10000 - a
multiplying the investments with the percentages and adding them together will give the total earned interest.
(a × 0.125) + (b × 0.0825) = 925
0.125a + 0.0825b = 925
Use substitution to solve for a.
0.125a + 0.0825(10000 - a) = 925
0.125 a + 825 - 0.0825a = 925
0.0425a = 100
a = 2352.94
Use substitution to find b
b = 10000 - 2352.94
b = 7647.06
The questions are to the nearest dollar so round a and b.
$2353 and $7647
Answer:
Step-by-step explanation:


Answer: The needles were 0.375 inches longer than the ones needed.
Step-by-step explanation:
To find difference between two values, subtract:
0.6875 - 0.3125 = 0.3750, or 0.375
Hope this helps :)
Answer:
m = -1/2
Step-by-step explanation:
4 − 2 = 12
= −2 = 12 − 4
= = (12 − 4) ÷ (−2)
= = 2−6
So, the slope is 2.
Now, keep this rule in mind: the product of a slope of two perpendicular lines will be -1.
Thus, the slope of the line that is perpendicular to this line is -1/2
Answer:
(v) If a complex number z is purely imaginary, then conjugate of z is :