Answer:
A = $ 2,120.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
A = 2000(1 + (0.03 × 2)) = 2120
A = $ 2,120.00
The total amount accrued, principal plus interest,
from simple interest on a principal of $ 2,000.00
at a rate of 3% per year
for 2 years is $ 2,120.00.
The arc length, radius and the included angle are related as
where
is in radians.
The radius
is given by

Correct choice is (B).
To Find :
Position vector at time
and
.
Solution :
r (t) = 2 (t −7)i + 12t j
Putting t = 5 s and t = 8 s, we get :
r(5) = 2( -2 )i + 60j
r(5) = -4i + 60j
r(8) = 2i + 96j
Now, to find speed differentiating the r(t) w.r.t t :

Hence, this is the required solution.
Answer:
10.7
Step-by-step explanation:
Let x be the missing side.
The rectangles are similar. Wich means:
● 8/9 = x/12
Cross multiply
● 9x = 8×12
● 9x = 96
Divide both sides by 9
● 9x/9 = 96/9
● x = 10.666
Round it to the nearest unit
● x = 10.7
Rigid transformation do not alter the sides and angle measurements of a shape.
The true statements are:
- <em>quadrilateral 1 and quadrilateral 2 - Not congruent
</em>
- <em>quadrilateral 1 and quadrilateral 3 - Not congruent
</em>
- <em>quadrilateral 1 and quadrilateral 4 - Not congruent
</em>
- <em>quadrilateral 2 and quadrilateral 3 - Congruent
</em>
<em />
From the graph, we have the following highlights
- Quadrilaterals 2, 3 and 4 are congruent
- Quadrilateral 1 does not have equal measure with any of the other quadrilaterals.
Hence, the first three statements are not congruent, while the last statement is congruent.
Read more about congruent shapes at:
brainly.com/question/24430586