Answer:
a. height = 12
b. area = 228
Step-by-step explanation:
a. To find the height, we can use the triangle formed by the side that measures 15, the side that measures 9. and the height. The hypotenuse of the triangle(the longest side opposite of the right angle), is 15. We can then use the Pythagorean Theorem, which states that 
, where c is the hypotenuse, and a and b are the two other sides. In this case, we need to find a leg of the triangle, not the hypotenuse. What do we do? We can first call the height a, and rearrange the Theorem into 
. 
and 
=12. Therefore, the height of the parallelogram is 
b. To find the area of the parallelogram, we can use the area formula, which is Base*Height. The base is the flat side. We can find the base by adding 9+10=19, and 
Answer:
74
Step-by-step explanation:
4(2) raise to power 4 - 2(7) raise to power 2 +40
4(16) - 2(49) +40
64-98+40
64- 138
74
Notice that if
, then
. Recall the definition of the derivative of a function
at a point
:
So the value of this limit is exactly the value of the derivative of
at
.
You have
The total amount of money earned after 15 years is given by the formula:
A=p(1+r/100)^n
where:
p=principle=$2000
r=rate=6%
n=time=15 years
thus;
A=2000(1+6/100)^15
A=2000(1.06)^15
A=$4,793.12
