Answer:
Angle 1 = 46°
Angle 2 = 44°
Step-by-step explanation:
Given:
Angle 1 = (4x - 2)°
Angle 2 = (3x + 8)°
Angle 3 = 90°
Find:
All acute angle
Computation:
Using angle sum property
Angle 1 + Angle 1 + Angle 1 = 180°
(4x - 2)° + (3x + 8)° + 90° = 180°
7x + 6 = 90
7x = 84
x = 12°
So,
Angle 1 = (4x - 2)° = 4(12) - 2 = 46°
Angle 2 = (3x + 8)° = 3(12) + 8 = 44°
Answer:
5 friends
Step-by-step explanation:
The inequality is 35+12.50x is less than or equal to 100.
Well this question is actually a piece of cake. Just pick your favorite number. Multiply it by 10. Then do whatever operation you want with the 2,300. For the exponent part of this. Lets say we do it this way y times z equals 2,300. Exponents are letters used in mathematical terms. So any letter can be used to represent any number.
The answer is A, (3, 4) is the solution to both lines A and B.
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Answer:
(a) 3 years FV=$4,221.80
(b) 6 years FV=$5,092.46
(c) 9 years FV=$6,142.69
Step-by-step explanation:
The formula for continuously compounded interest is
FV = PV x e^(i x t)
where,
FV=future value of the investment,
PV= present value,
i = stated interest rate,
t = time in years,
e= mathematical constant approximated as 2.7183.
In this case,
PV=$3,500
i = 6.25%
(a) 3 years
FV = PV x e^(i x t)
FV = $3,500 x e^(6.25%x3)
FV=$4,221.80
(b) 6 years
FV = $3,500 x e^(6.25%x6)
FV=$5,092.46
(c) 9 years
FV = $3,500 x e^(6.25%x9)
FV=$6,142.69
