Answer:
2.8 years
Step-by-step explanation:
continuous compounding formula:
A = Pe^rt
3000 = 2500e^.065t
ln(6/5) ÷ .065 ≈ 2.8 years
Step-by-step explanation:
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Answer:
50.29 in^2
Step-by-step explanation:
From the circumference we need to find the radius.
Since C = 2*pi*r, r = C / (2*pi).
Here, with C = 25 1/7 in, r = (25 1/7 in) / [ 2(22/7) ], or r = 4 in
The area of the cake is A = pi*r^2, or (here) A = (22/7)(4 in)^2 = 50.29 in^2
Answer:
x>−6,x<−12
Step-by-step explanation:
Break down the problem into these 2 equations.
x+9>3x+9>3
-(x+9)>3−(x+9)>3
Solve the 1st equation: x+9>3x+9>3.
x>-6x>−6
3 Solve the 2nd equation: -(x+9)>3−(x+9)>3.
x<-12x<−12
Collect all solutions.
x>-6,x<-12x>−6,x<−12
9514 1404 393
Answer:
D. 43 degrees
Step-by-step explanation:
The sum of angles in a triangle is 180°. If x represents the measure of the third angle, then ...
75° +62° +x = 180°
137° +x = 180° . . . . . . . . . collect terms
x = 180° -137° = 43° . . . . subtract 137° from both sides of the equation
The third angle measures 43°.