Answer:
Future Value= $5,886.13
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $5,425
Number of periods (n)= 1 year
Interest rate (i)= 8.5% = 0.085
<u>To calculate the future value after one year, we need to use the following formula:</u>
<u></u>
FV= PV*(1+i)^n
FV= 5,425*(1.085^1)
FV= $5,886.13
The elevations of four points below sea level are -47 feet, -24 feet, -8 feet, and -18 feet.
The elevation of the point closest to sea level is feet
-8 ft
elevation of the point farthest from sea level is feet.
-47 ft
closet to sea level to farthest to sea level
-8ft , -18ft , -24ft , -47ft
Let us name the players A,Dave,Zack,Paul,E and F
For the first position there are two candidades ( Zack / Paul )
For the second position there is only one candidate i.e. Dave
For the third place there will be 4 candidates (out of Zack and Paul - 1 as one of them is already taken for the first position and A, E and F total-4)
For the fourth place there will be 3 candidates ( out of the four available candidates in the 3rd place, one will be taken up for 3rd place )
For the fifth place there will be 2 candidates
Finally, for the last place there will be only one candidate left.
On multiplying the no. of available cadidates, we get 2 * 1 * 4 * 3 * 2 * 1 = 48 i.e. option (A)
Please mention minor spelling mistakes
For the second question:
Let the no of dotted marbles be 'x' and no of striped marbles be 'y'
then the equation will become as follows
(y+6)/x = 3
and
(x+6)/y = (2/3)
On solving the equations, we will get x = 10 and y = 24
Total balls = 10+24+6 = 40 (option E)
Answer 3 will be ) For the first edge, he can choose 3 paths
For the second edge he can choose 2 paths for each path of its first edge's path
For the third , he is bounded to move on the paths created by the first and the second edges hence 1 path for each path created by the first and the second edge together
It will be multiplication of all the possibilities of the paths of the three edges differently.........
i.e. 3 * 2 * 1 = 6
Let f(x)=y
f^-1(x)=x
y=1/(x+5) - 1
y+1=1/(x+5)
(x+5)=1/(y+1)
x=1/(y+1)-5
f^-1(x)=1/(x+1) -5
denominator cannot equals to zero
x+1≠0
x≠-1
answer
B
Since the two triangles are similar, then the ratio of the corresponding sides is equal. Therefore;
JP/GM=PK/MH
26/GM = 16/36
GM= (26×36)/16
= 58.5
