Answer:
The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100
Step-by-step explanation:
Let
x ------> the amount of money that should be invested at the rate of 12%
3,000-x -----> the amount money that should be invested at the rate of 10%
we know that
The sum of the interest on each of the accounts must be equal to the total interest.
Solve for x
therefore
The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100
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Answer:
Proved CA=CB
Step-by-step explanation:
Given,
In ΔABC, CP is perpendicular to AB.
And CP bisects AB.
So, AP=PB and ∠CPA=∠CPB=90°
The figure of the triangle is in the attachment.
Now, In ΔACP and ΔBCP.
AP = PB(given)
∠CPA = ∠CPB = 90°(perpendicular)
CP = CP(common)
So, By Side-Angle-Side congruence property;
ΔACP ≅ ΔBCP
According to the property of congruence;
"If two triangles are congruent to each other then their corresponding sides are also equal."
Therefore, CA = CB (corresponding side of congruent triangle)
CA = CB Hence Proved
Answer:
(2x+3)(2x+3)
Step-by-step explanation:
a^2+2ab+b^2