Answer:
B
Step-by-step explanation:
The main formula is A=P(1+r/n)^nt, where A=amount of $ in the account at the specified time, P=principal (amount originally invested), r=interest rate, expressed as a decimal number, t=time, in years, of the investment, and n=number of times the account is compounded annually.
In our equation:
P=$11,600
r=7.25%=.0725
t=17 years
n=1 (compounded annually)
A= 11600(1+.[0725/1])^(1*17)
=11600(1+.0725)^17
=11600(1.0725)^17
=11600(3.286654969)
A=$38125.20
Answer:f(1)=-4, f(1)=1
Just substitute the value to the x, Like this.
F(x)=x²+2x-7
F(1)=(1)²+2(1)-7
=1+2-7
=3-7
=-4
Step-by-step explanation:
Answer:
i think its D but sorry if im wrong !! <3
Step-by-step explanation:
Answer : The correct option is, (A) 
Step-by-step explanation :
First we have to calculate the volume of cylinder.
Formula used:
Volume of cylinder = 
where,
r = radius = 3 cm
h = height = 18 cm (We are assuming that 3 solid spheres stacked to each other = 3 × diameter of each sphere = 3 × 2 × 3 = 18)
Volume of cylinder = 
Volume of cylinder = 
Now we have to calculate the volume of 3 solid spheres.
Formula used:
Volume of 3 spheres = 
Volume of 3 spheres = 
Volume of 3 spheres = 
Volume of 3 spheres = 
Now we have to calculate the amount of empty space within a cylinder.
Amount of empty space within a cylinder = Volume of cylinder - Volume of 3 spheres
Amount of empty space within a cylinder = 
Amount of empty space within a cylinder = 
Therefore, the amount of empty space within a cylinder is, 