simple interest:
principal x ( 1 + (rate as decimal x number of years))
example if you put 100 dollars in a bank for 5 years at 5% interest at the end of the 5 years you would have:
100 x (1+(0.05 x 5)) = 100 x (1+(0.25)) = 100 x 1.25 = 125 dollars
125-100 = 25 dollars interest
Answer:
Her brothers pulse rate is 76.
Step-by-step explanation:
95% of 80 is 76. That only means that her brother's pulse rate must be 76 beats per minute.
Answer:
419.25
Step-by-step explanation:
The calculation of the cost of materials for the cheapest such container is shown below:-
We assume
Width = x
Length = 2x
Height = h
where, length =
Base area = lb
=
Side area = 2lh + 2bh
= 2(2x)h + 2(x)h
= 4xh + 2xh
Volume = 24 which is lbh = 24
Now, cost is
now we have to minimize C(x)
So, we need to compute the C'(x)
C"(x)
now for the critical points, we will solve the equation C'(x) = 0
So, x is a point of minima that is
=
Now, Base material cost is
= 139.75
Side material cost is
= 279.50
and finally
Total cost is
= 139.75 + 279.50
= 419.25
Step-by-step explanation:
distribute the -2 to (x+1) you end up with -2x-2=8 (multiplication property). Add 2 to both sides to get rid of the -2 of the left (addition property). 8+2=10. -2x=10 divide the -2 to both sides. x=-5 (division property).