Answer: the temperature went up by +30
Step-by-step explanation:
<span>Perpendicular lines' slopes are reciprocals of one another. So we know the perpendicular line will have a slope of 1/2. Then we can use our points to find the rest.
8=1/2(1)+b
8=0.5+b
7.5=b
y=2x+b</span>
Answer: The balance in the account after 10 years is $3374.65
Step-by-step explanation:
The exponential equation for growth [ compounded continuously] is

, where P= Present value
r= growth rate ( in decimal)
t= time (years)
By considering the given information , we have
p=$2500 r = % =0.03 and t= 10
Substitute all the values in the above equation , we get


[Round to the nearest cent]
Therefore, the balance in the account after 10 years is $3374.65
Answer:
D. 12.3 ft
Step-by-step explanation:
This problem requires the use of trigonometric ratios. This one specifically uses the cosine ratio as it provides the hypotenuse and is asking for the side that is adjacent to the angle.
cos(40°)=a/16
cos(40°)×16=a/16×16
cos(40°)×16=a
a=12.256 ft
The length of side a is D. 12.3 ft.