Final amount = 6675, interest earned will be 675
For each curve, plug in the given point 
and check if the equality holds. For example:
(I) (2, 3) does lie on 
since 2^2 + 2*3 - 3^2 = 4 + 6 - 9 = 1.
For part (a), compute the derivative 
, and evaluate it for the given point . This is the slope of the tangent line at the point. For example:
(I) The derivative is
so the slope of the tangent at (2, 3) is
and its equation is then
For part (b), recall that normal lines are perpendicular to tangent lines, so their slopes are negative reciprocals of the slopes of the tangents, 
. For example:
(I) The tangent has slope 7/4, so the normal has slope -4/7. Then the normal line has equation
Answer:
U = 5
S = 4
1.) P(X>x) = 0.5
Prob = 1-0.5 = 0.5
We have z = 0, that is the z score with the probability of 0.5
X = u + z(s)
= 5+0*4
= 5
2.) 1-0.95 = 0.05
Z score having this probability
Z = -1.64
X = 5-1.64*4
= 5-6.56
= -1.56
3.) P(z<1.0) - p(X<x) = 0.2
0.841345-0.2 = .641345
We find the z score given this probability
Z= 0.36
X = 5+0.36*4
= 5+1.44
= 6.44
4.) P(X<x)-P(Z<-.5)
0.95 = p(X<x)-0.308538
p(X<x) = 0.308538 + 0.95
= 1.258538
There is no x value here, given that the probability is more than 1.
5. 1-0.99/2 = 0.005
We get the z score value
= -2.58
U - 5 = 5-5 = 0
-x = 0-2.58(4)
X = 10.32
Answer: 2.7mm
Step-by-step explanation:
The formula for the circumference of a circle is given as 2πr. In thkw case, thw circumference is 17mm.
Therefore, 2πr = 17
2 × 3.14 × r = 17
6.28r = 17
r = 17/6.28
r = 2.7mm
Therefore the radius of the circle is 2.7mm
