Answer:
9.2
Step-by-step explanation:
102/11
i would take him 9.2 months to pay back
9514 1404 393
Answer:
(a) x = (3 -ln(3))/5 ≈ 0.819722457734
(b) y = 10
Step-by-step explanation:
(a) Taking the natural log of both sides, we have ...
2x +1 = ln(3) +4 -3x
5x = ln(3) +3 . . . . . . . . add 3x-1
x = (ln(3) +3)/5 ≈ 0.820
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(b) Assuming "lg" means "log", the logarithm to base 10, we have ...
log(y -6) +log(y +15) = 2
(y -6)(y +15) = 100 . . . . . . . taking antilogs
y^2 -9x -190 = 0 . . . . . . . . eliminate parentheses, subtract 100
(y -19)(y +10) = 0 . . . . . . . . factor
The values of y that make these factors zero are -19 and 10. We know from the first term that (y-6) > 0, so y > 6. That means y = -19 is an extraneous solution.
The solution is ...
y = 10
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When solving equations using a graphing calculator, it often works well to define a function f(x) such that the solution is f(x) = 0, the x-intercept(s). That form is easily obtained by subtracting the right side of the equation from both sides of the equation. In part (a) here, that is ...
f(x) = e^(2x+1) -3e^(4-3x)
Answer:
Cost of 1 pound apple:4.80/6=2.4
cost of 9 pounds apple:2.4 ×9=21.6
Answer:
The number of Carmel muffins is 8 and the number of lemon muffins is 12.
Step-by-step explanation:
Melvin Marshall bought a total of 20 Muffins . Some were camel-glazed muffins and some were lemon. The Carmel muffins cost $3 each while the lemons cost $2.5 . The number of carmel muffins and lemon muffins can be calculated as follows
total number of muffin = 20
Let
a = number of carmel - glazed muffins
b = number of lemon muffins
a + b = 20.............(i)
The total cost
3a + 2.50b = 54................(ii)
Combine the equations
a + b = 20.............(i)
3a + 2.50b = 54................(ii)
a = 20 - b
insert the value of a in equation (ii)
3(20 - b) + 2.50b = 54
60 - 3b + 2.50b = 54
60 - 54 = 0.5b
0.5b = 6
divide both sides by 0.5
b = 6/0.5
b = 12
Insert the value of b in equation (i)
a + b = 20.............(i)
a + 12 = 20
a = 20 - 12
a = 8
The number of Carmel muffins is 8 and the number of lemon muffins is 12.
-9,-3,3,9,-9,-3,3,9 so forth until -3