Answer:
if x=ky, where k is constant.
value of x
45/3=k3/3
15=k, constant is 15
value of x when y =6
x=ky
x=15(6)
x=80
Answer:
<u>The balance in the account after 10 years is US$ 2,442.81</u>
Step-by-step explanation:
1. Let's review the data given to us for answering the question:
Investment amount = US$ 2,000
Duration of the investment = 10 years
Annual interest rate = 2% compounded continuously
2. Let's find the future value of this investment after 10 years, using the following formula:
FV = PV * eˣ ⁿ
PV = Investment = US$ 2,000
number of periods (n) = 10 (10 years compounded continuously)
rate (x) = 2% = 0.02
e = 2.71828 (Euler's number)
Replacing with the real values, we have:
FV = 2,000 * (2.71828)^0.02*10
FV = 2,000 * 2.71828^0.2
FV = 2,000 * 1.2214027
<u>FV = US$ 2,442.81</u>
Answer:
As the average has increased the height of the new player must be more then the height of the player which was injured.
The difference between the previous average and the new average is 0.01 m.
Therefore the average is increased by 0.01 m.
Therefore the total height of all the players is increased by 0.01*11=0.11 m
Therefore as the increase in the total height is made by the player with height 1.85 m,the height of the player who was injured is 1.85–0.11=1.74 m
The height of the player who was injured is 1.74 m
Step-by-step explanation:
Answer: x=40
Step-by-step explanation x-0.3x=28
Add similar elements x-0.3x=0.7x
0.7x=28
Multiply both sides by 10
0.7x · 10= 28 · 10
Refine
7x=280
Divide both sides by 7
Simplify
x = 40
This problem can be solved through the concept of ratio and proportion such that the ratio between $0.43 and $100 should be the same as that of her insurance premium, x, and the cost of her new home.
$0.43 / $100 = x / $387,500
The value of x from the equation generated above is,
x = $1666.25
Thus, the answer is letter A.
