Answer:
140 >/ 7x + 10y (read as 140 is greater than or equal to 7x plus 10y)
x + y /< 17 - to represent the number of hours she can work
she will work at least 10 hours walking dogs and at least 7 tutoring
Step-by-step explanation:
Answer:
Amount she would have in 2 years at a simple interest of is
$5000 + ($5000 x 0.048 x 2) = $5480
Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :
$5000 x ( 1 +0.041/2)^4 = $5422.78
the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose
Step-by-step explanation:
Future value with simple interest = principal + interest
Interest = principal x interest rate x time
0.048 x 5000 x 2 = 480
future value = $480 + 5000 = $5480
The formula for calculating future value with compounding:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78
Hey there,
Answer: Tomatoes
If you multiply 10 x 0.69 (for onions) it would be 6.9
If you multiply 100 x 0.99 (for tomatoes) it would be 99
Lastly, if you multiply 100 x 0.69 (for lettuce) if would be 69
Which are the most? Tomatoes.
~ Hope this helps, and if you have any questions or concerns, feel free to pm me or comment down below :)
Answer:
(5, 10 ) ( 2, 25 )
Step-by-step explanation:
We have that
point C and point D have y = 0-----------> (the bottom of the trapezoid).
point A and point B have y = 4e ---------- > (the top of the trapezoid)
the y component of midpoint would be halfway between these lines
y = (4e+ 0)/2 = 2e.
<span>the x component of the midpoint of the midsegment would be halfway between the midpoint of AB and the midpoint of CD.
x component of midpoint of AB is (4d + 4f)/2.
x component of midpoint of CD is (4g + 0)/2 = 4g/2.
x component of a point between the two we just found is
[(4d + 4f)/2 + 4g/2]/2 = [(4d + 4f + 4g)/2]/2 = (4d + 4f + 4g)/4 = d + f + g.
</span>therefore
the midpoint of the midsegment is (d + f + g, 2e)