Given
Present investment, P = 3400
APR, r = 0.0115
compounding time = 13 years
Future amount, A
A. compounded annually
n=13*1=13
i=r=0.0114
A=P(1+i)^n
=3400*(1+0.0115)^13
=3944.895
B. compounded quarterly
n=13*4=52
i=r/4=0.0115/4
A=P(1+i)^n
=3400*(1+0.0115/4)^52
=3947.415
Therefore, by compounding quarterly, he will get, at the end of 13 years investment, an additional amount of
3947.415-3944.895
=$2.52 (to the nearest cent)
Answer + Step-by-step explanation:
1) D be the symmetric of B with respect to C then CD = BC
A the symmetric of C with respect to B then AB = BC
We obtain :
CD = BC
AB = BC
Then AB = CD
2) m∠SBA = 180 - SBC = 180 - SCB = m∠SCD
3) we have :
BA = CD
BS = CS
m∠SBA = m∠SCD
Then
the triangles SBA and SCD are congruent
4)
the triangles SBA and SCD are congruent Then SA = SD
Therefore SAD is an isosceles triangle.
The question is incomplete. Here is the complete question.
Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -
x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.
Answer: L = 1; W = 9/4; A = 2.25;
Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:
A = x.y
A = x(-
)
A = -
To maximize, we have to differentiate the equation:
= 
(-)
= -3x + 3
The critical point is:
= 0
-3x + 3 = 0
x = 1
Substituing:
y = -x + 3
y = -.1 + 3
y = 9/4
So, the measurements are x = L = 1 and y = W = 9/4
The maximum area is:
A = 1 . 9/4
A = 9/4
A = 2.25
Answer:
V=πr2h
3=π·72·9
3≈461.81412
Step-by-step explanation:
Mark me the brainliest PLZ.
Answer:
-6
Step-by-step explanation:
it's asking when x is equal to -5 what is y equal to?
there's only one point when x=-5 and it's -6
so the point is (-5,-6) and y is equal to -6
hope this helps and makes sense <3
do well babe
