The problem statement is not clear regarding which money is invested. We will assume it is the 80% of $8750 that is set aside for future education. That amount is
... 0.80 × $8750 = $7000
If x represents the amount invested at 7%, then the total interest earned is
... (7000 -x)×4% + (x)×7% = 420
... 280 +0.03x = 420
... x = 140/0.03 ≈ 4666.67
$4666.67 was invested at 7%.
$2333.33 was invested at 4%.
Answer:
x = -8
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5*x+7-(4*x-1)=0
Step by step solution :
Step 1 :
Solving a Single Variable Equation :
1.1 Solve : x+8 = 0
Subtract 8 from both sides of the equation :
x = -8
One solution was found :
x = -8
Processing ends successfully
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<u>Part a) </u>
we know that
to find the equation of the line, I will use the two points that are closest to the line
Let
A(1,14)
B(7,7)
<u>Part b) </u>
Find the slope
we know that
the formula to find the slope between two points is equal to
substitute
<u>the answer part b) is</u>
the slope is
<u>Part c)</u>
we know that
the equation of the line in point slope form is equal to
use the point B (7,7)
therefore
<u>the answer part c) is</u>
<u>Part d) </u>
we know that
the equation of the line in slope-intercept for is equal to
we have
therefore
<u>the answer Part d) is</u>
or 
Answer:
D
Step-by-step explanation:
<1 and <3 are alternate interior angles and their congruence <1=<3, proves that l || m.
A) (x-c)²
= x²-2cx+c²
1. x×x = x²
2. 2×x×(-c) = -2cx
3. (-c)×(-c) = c²
b) (a-2b-c)²
= (a-2b-c)(a-2b-c)
= a²-2ab-ac-2ab+4b²+2bc-ca+2bc+c²
= a²-4ab-2ac+4b²+4bc+c²
