Answer:
Step-by-step explanation:
This is an Arithmetic Series with common difference 4 and first term 3
so the nth term an = 3 + (n -1)4
= 4n - 1.
The sum of n terms
= n/2 (a1 + L)
= n/2(3 + 1671)
= 837n.
There are (1671-3) / 4 + 1 = 418 terms in the series,
so the total value of the series is 837*418
= 349,866.
.
Answer:
9 years
Step-by-step explanation:
Simple interest for any amount p is given by
SI = P*R*T/100
where R is the rate of interest
T is the time period in years
given
P =$1500
R = 4%
T we have to find
SI = $540
Thus, putting the given value in SI = P*R*T/100
540 = 1500*4*T/100
T = 540*100/1500*4 = 9 years
Thus, It will take 9 years for Sam to earn $540
Answer:
2/3
Step-by-step explanation:
Everytime the line moves over 3 it goes up 2, so the run is 3 and rise is 2. It is written in rise over run.
N.b., this is copied from an answer I wrote for someone else.Thinking about the graph of y, the rate of change is zero whenever there is an extremum.
First, differentiate y.

Next, find the zeros of y' by factoring.

Now, we substitute these x-values into the
original equation to find the coordinates.
Answer:
D. 11.8 cm
Step-by-step explanation:
This triangle is a 30°-60°-90° triangle. There is a shortcut to find the lengths of the sides of a 30°-60°-90° triangle. The longest side is the hypotenuse. The longest side is double the shortest side or, the shortest side is half the longest side. Here the longest side is 5, so the short leg (shortest side) is 2.5
The other shortcut is that the longer leg is the
short leg×sqroot3
Here, the short leg is 2.5, so the long leg is 2.5×sqroot3
Perimeter is all the sides added together.
5 + 2.5+ 2.5×sqrt3
Do the times first.
5 + 2.5 + 4.3
= 11.8