Answer:
$2000
Step-by-step explanation:
6,000 dollars is invested in two different accounts earning 3% and 5% interest.
Let x be the amount invested in account earning 3% interest
So, 6000-x is the amount invested in account earning 5% interest
So, Simple interest for account earning 3% interest
Simple interest for account earning 5% interest
Since we are given that the two accounts earned $220 in interest
So, 
So, 4000 was invested at 3%
(6000-x)=6000-4000=2000 was invested at 5%
Hence 2000 was invested at 5%
Answer:
The average rate of change is 8.
Step-by-step explanation:
The formula to calculate the average rate of change of a function F(x) is:
In this case, F(x) = 
a=2 and b=4
You have to evaluate x=2 (which is a in the formula) and x=4 (which is b in the formula) in the function.
In order to obtain F(b) and F(a) you have to replace x=4 and x=2 in the given function:
F(b) = 
F(a) = 
The answer is 8.
Answer:
-6, 6
Step-by-step explanation:
I hope this helps :)
Answer:
Kite
Step-by-step explanation:
To graph quadrilateral with points:
A(-1,-2)
B(5,1)
C(-3,1)
D(-1,4)
Thus, we graph the the given points and join the corners. The quadrilateral formed has the following features:
Measure of segment AB= Measure of segment BD = 6.708 units
Measure of segment AC= Measure of segment CD = 3.605 units
Thus, adjacent pair of sides of the quadrilateral are congruent.
Major diagonal BC cuts the minor diagonal AD at point E such that:
Measure of segment AE= Measure of segment ED = 3 units
m∠AEB = m∠DEB = 90°
Thus, major diagonal is a perpendicular bisector of the minor diagonal.
The above stated features fulfills the criterion of a kite.
Hence, the given quadrilateral ABCD is a kite.
