If the scale were 1:63,360, for instance, then 1 inch on the map would represent 63,360 inches or 1 mile on the ground (63,360 inches divided by 12 inches = 5,280 feet or 1 mile).
Answer:
(- 2, 3 )
Step-by-step explanation:
Given the 2 equations
4x + 3y = 1 → (1)
x - 3y = - 11 → (2)
Adding the 2 equations term by term will eliminate the y- term
5x + 0 = - 10
5x = - 10 ( divide both sides by 5 )
x = - 2
Substitute x = - 2 into either of the 2 equations and solve for y
Substituting into (1)
4(- 2) + 3y = 1
- 8 + 3y = 1 ( add 8 to both sides )
3y = 9 ( divide both sides by 3 )
y = 3
solution is (2, - 3 )
Answer:
FV= $385,307.82
Step-by-step explanation:
Giving the following formula:
Annual salary (A)= $39,500
Growth rate (g)= 2% annual
Number of years (n)= 9 years
<u>To calculate the total amount earned over 9 years, we need to use the following formula:</u>
FV= {A*[(1+g)^n-1]}/g
A= annual deposit
FV= {39,500*[(1.02^9) - 1]} / 0.02
FV= $385,307.82
Answer:
The answer is B (1 , 3) , (2 , 6) , (4 , 12) , (5 , 15)
Step-by-step explanation:
∵ X : 1 , 2 , 4 , 5
∵ Y : 3 , 6 , 12 , 15
∵ 2/6 = 1/3
∵ 4/12 = 1/3
∵ 5/15 = 1/3
∴ 1/3 = 2/6= 4/12 = 5/15 = 1/3 ⇒ all are proportion
∴ Answer B is in proportional relationship
Answer:
Probability of rolling a 2 and flipping a head will be
Step-by-step explanation:
If we roll one die then probability to get any one side is 
Therefore, probability to get 2 by rolling the die will be P(A) = 
Now we flip a coin then getting head or tale probability is 
Or probability to get head by flipping the coin P(B) = 
Probability of happening both the events (rolling a 2 and flipping a head) will be denoted by
P(A∩B) = P(A)×P(B)
= 
= 
Therefore, probability of rolling a 2 and flipping a head will be