Answer:
The triangles shown are<u> proportional</u>
Step-by-step explanation:
Two parallel lines are cut by a tranversal so the opposite and corresponding angles are congruent.
B = N
M = M
12 x 2 = 24 , So the sides of the triangle are proportional meaning they are parallel.
Side MN would be 12
Side MP would be 16
Slope of a line passing though point (x1,y1) nd (x2,y2) is
(y2-y1)/(x2-x1)
we have
(1,-3) and (3,-5)
x1=1
y1=-3
x2=3
y2=-5
slope=(-5-(-3))/(3-1)=(-5+3)/(2)=-2/2=-1
slope=-1
Then the amount of money will he have in his account after 10 years will be $7,454.16. Then the correct option is B.
<h3>What is compound interest?</h3>
Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
Miguel deposits $5000 in an account earning 4% interest compounded monthly.
Then the amount of money will he have in his account after 10 years will be
We know the compound interest formula.

Where
A = amount
P = principal
r = rate of interest
t = time period (in year)
Then we have

More about the compound interest link is given below.
brainly.com/question/25857212
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V = L³ = 64 => L = ∛64 = 4 cm
A = L² = 4² = 16 cm²
At = 16 x 6 = 96 cm²