9514 1404 393
Answer:
x = 10; WX = 5; HJ = 10
Step-by-step explanation:
The hash marks indicate that points W and X are midpoints of their respective segments. That makes WX a midline of the triangle. The midline is always half the length of the base (HJ). We can use this fact to write an equation relating the lengths.
HJ = 2·WX
x = 2(x -5) . . . .substitute the given expressions
x = 2x -10 . . . . eliminate parentheses
10 = x . . . . . . . add 10-x to both sides
This value of x tells you that ...
HJ = x = 10
WX = x -5 = 5
Step-by-step explanation:
We know that...
x+y (from the first pair) corresponds to 8(in the second pair)..
0 (from the first pair) corresponds to x-y (in the second pair)..
Hence,
By simply adding the two equations we get,
Hence,
By substituting x=4, we get that y=4
Hence,
x=y=4
Step-by-step explanation:
Given
To Prove
Take the Left side of equation and rationalize
Left side is equal to right side
Hence, proved
9514 1404 393
Answer:
- 10,247.38 from continuous compounding
- 10,228.50 from semiannual compounding
- continuous compounding earns more
Step-by-step explanation:
The formula for the account balance from continuously compounded interest at annual rate r for t years is ...
A = Pe^(rt) . . . . P = principal invested
A = 8820e^(0.05·3) ≈ 10,247.38 . . . continuous compounding
__
The formula for the account balance from interest compounded semiannually at annual rate r for t years is ...
A = P(1 +r/2)^(2t)
A = 8820(1 +.05/2)^(2·3) ≈ 10,228.50 . . . semiannual compounding
Continuous compounding earns more.
