Step-by-step explanation:
From the statement:
M: is total to be memorized
A(t): the amount memorized.
The key issue is translate this statement as equation "rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized"
memorizing rate is
.
the amount that is left to be memorized can be expressed as the total minus the amount memorized, that is
.
So we can write

And that would be the differential equation for A(t).
Answer:
y = 6.50x + 6 or 71 = 6.50x + 6
10 people are the max you can invite
Step-by-step explanation:
We have the simple equation
y = 6.50x + 6
6.50x because it it per person
6 because it is a flat one time charge
We want the max to be 71 so that will be our y
71 = 6.50x + 6
We are now going to solve for x
65 = 6.5x
x = 10
Hope it helps! (:
<u><em>Answer:</em></u>
108 square units
<h3><u><em>
Step-by-step explanation:</em></u></h3>
3 x 4 = 12
3 x 4 = 12
6 x 3 = 18
6 x 3 = 18
6 x 4 = 24
6 x 4 = 24
24(2) + 18(2) + 12(2) = 108 square units
Therefore, the surface area of the rectangular solid below using its net is <u>108 square units</u>
Answer:
m<1 = 69°
Step-by-step explanation:
Angles 20x + 11 and 25x - 14 are vertical angles, so they are congruent.
25x - 14 = 20x + 11
5x = 25
x = 5
The actual measure of angle 20x + 11 is 20(5) + 11 = 111°.
Angle 20x + 11 and <1 are supplementary, so the sum of their measures is 180°.
m<1 + 111° = 180°
m<1 = 180° - 111°
m<1 = 69°