Answer:
$ 6,189.18
Step-by-step explanation:
From the above question, we can deduce that we are meant to find the Principal (Initial Amount ) invested.
The formula for the Principal of a compound interest that is compounded continuously is given as:
P = A / e^rt
Where
P = Principal
A = Totally Amount after time t = $11,300
r = Interest rate = 4.3 % = 0.043
t = 14 years
P = $11,300/ e ^0.043 × 14
P = $ 6,189.18
Hence, Landon needs to invest, $ 6,189.18
9514 1404 393
Answer:
x ≈ 136.7 ft
Step-by-step explanation:
As you have marked, the relevant sides are the adjacent side and the hypotenuse. The mnemonic SOH CAH TOA reminds you ...
Cos = Adjacent/Hypotenuse
For this triangle, that means ...
cos(43°) = (100 ft)/x
x = (100 ft)/cos(43°) . . . . . . . . . . multiply both sides by x/cos(43°)
x ≈ 136.73 ft
The length x is about 136.7 feet.
Answer:
630m³
Step-by-step explanation:
volume= 7m×9m×10m=630m³
Answer:
(x, y) = (2 2/9, -1 4/9)
Step-by-step explanation:
Equate the values of y and solve for x.
1/4x -2 = -2x +3
(2 1/4)x = 5 . . . . . . . . add 2+2x to both sides
x = 20/9 = 2 2/9 . . . multiply by 4/9
y = -2(2 2/9) +3 = -4 4/9 +3 . . . . substitute for x in the second equation
y = -1 4/9
The solution is x = 2 2/9, y = -1 4/9.
Three multiplied by a number plus ten.
