Answer:
$7.62 per hour
Step-by-step explanation:
Since, Heather gets a raise every 3 months, in 2 years, she will get a raise 8 times (2years = 24 months, 24 divided by 3 is 8).
Now it becomes a compound growth problem. We can use the formula shown below to solve these type of problems.
Where,
- F is the future value (what we want to find)
- P is the present rate ($6.5)
- r is the rate of growth, in decimal (2% growth means 0.02)
- t is the time frame, number of times compounding occurs (for our case we have figured it to be 8)
<u>Now plugging in all the info, we get the value of F:</u>
Thus, after 2 years, Heather's hourly rate will be $7.62
Answer:
<u>x = -4/3</u>
Step-by-step explanation:
3x + 4 = 0
3x = -4
<u>x = -4/3</u>
Answer:
A) AAS; B) LA; C) ASA
Step-by-step explanation:
AAS is the Angle-Angle-Side congruence statement. It says that if two angles and a non-included side of one triangle are congruent to the corresponding two angles and non-included side of a second triangle, then the triangles are congruent. In these triangles, ∠E≅∠K, ∠F≅∠L, and DE≅JK. These are two angles and a non-included side; this is AAS.
LA is the leg-acute theorem. It states that if a leg and acute angle of one triangle is congruent to the corresponding leg and acute angle of another triangle, then the triangles are congruent.
The leg we have congruent from each triangle is DE and JK. We also have ∠E≅∠K and ∠F≅∠L, both pairs of which are acute. This is the LA theorem.
ASA is the Angle-Side-Angle congruence statement. It says that if two angles and an included side of one triangle are congruent to the corresponding two angles and included side of another triangle, then the triangles are congruent.
We have that ∠D≅∠J, DE≅JK and ∠E≅∠K. This gives us two angles and an included side, or ASA.
use the formula given:
V = pi r^2h
r = 10.55
h = 12.56
V = 3.14 x 10.55^2 x 12.56 = 4391.81 round off to 4392cm^3
answer is D 4392
