Answer:
Which expression is equivalent to -10 (-40) + (-90) ?
1 answer:
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Answer:
A = $32,652.44
Step-by-step explanation:
Given: Principal (P) = 30,760.08, Annual Rate (R) = 12%, Time (t in years) = 0.5
To find: How much David needs to invest monthly
Formula:
Solution: To find, simply add principal + interest
First, convert R as a percent to r as a decimal
r = R/100
r = 12/100
r = 0.12 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 30,760.08(1 + 0.12/12)(12)(0.5)
A = 30,760.08(1 + 0.01)(6)
A = $32,652.44
Therefore;
The total amount David will obtain with 30,760.08 for 6 months, 12%is $32,652.44.
Answer:
D) 54 cm
Step-by-step explanation:
We can use the Centroid Theorem to solve this problem, which states that the centroid of a triangle is of the distance from each of the triangle's vertices to the midpoint of the opposite side.
Therefore, is
of the distance from
to
, since the latter is the midpoint of the side opposite to
. We know this because
belongs to
, so
must be
's midpoint due to the fact that by definition, the centroid of a triangle is the intersection of a triangle's three medians (segments which connect a vertex of a triangle to the midpoint of the side opposite to it).
We can then write the following equation:
Substituting into the equation gives us:
Solving for , we get:
(Multiply both sides of the equation by
to get rid of
's coefficient)
(Simplify)
(Symmetric Property of Equality)
Therefore, the answer is D. Hope this helps!