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ExtremeBDS [4]
3 years ago
14

A student must learn M unfamiliar words for an upcoming test. The rate at which the student learns is proportional to the number

of items remaining to be learned, with constant of proportionality equal to k. Initially, the student knows none of the words. Let y(t) stand for the number of the words that the student knows at time t.
Mathematics
1 answer:
lesantik [10]3 years ago
7 0
Dy/dt=k(M-y)
Don’t have time to think about the actual equation for y, but from this equation you should use separation of variables and integrate both sides. It should be an exponential equation.
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Pratap puri Row 22 miles down a river in two hours but the return trip took him 5 1/2 hours find the rate pratap Control in Stil
Natalija [7]

Answer:

x= 7.5 mile/h

y= 3.5 miles / h

Step-by-step explanation:

Given x and y

so, x+y = speed down river

and x-y= speed up river

using

travel time = distance / speed for each case;

we get;

22/x+y=2  ---(1)

and

22/x-y=5.5 -----(2)

Solving equations simultaneously

eq 1 gives

2x+2y=22  ---(3)

eq 2 gives

5.5x-5.5y=22 ----(4)

Multiply eq 3 by 2.75

==> 5.5x+5.5y=60.5 --- (5)

adding eq 4 with eq 5

==> 11x =82.5

==> x= 7.5 miles/h

put this value in eq 3

==> 2(7.5)+2y=22

==> 2y=22-19.8

==> 2y=7

==> y = 3.5

4 0
3 years ago
The answer ASAP I don’t understand this at all
RSB [31]

Answer:

T = 530N + 250

Step-by-step explanation:

For the first plan, Heather will deposit $250 and then save $135 per month.

So, that is 250 + (135 x N) where N is the number of months she saves the $135.

So if it is for 3months,

We will have:

t¹ = 135N + 250

= 250 + (135 x 3)

= 250 + 405

= $655

For the second plan, there is no initial deposit, but she will save $395 per month.

That is 395 x N

t² = 395N

For 3months, we have 395 x 3 = $1185

Therefore the total for both plans in 3months = 655 + 1185 = $1840

Equation relating T to N

T = t¹ + t²

T = (135N + 250) + 395N

T = 135N + 250 + 395N

T = 530N + 250

5 0
3 years ago
If the bookshelf is 51 inches tall how tall Is it in feet
tangare [24]
The bookshelf would be 4 feet 3 inches.
3 0
3 years ago
Read 2 more answers
What is the approximate area of a regular heptagon with a side length of 4 inches and a distance from the center to a vertex of
jok3333 [9.3K]
Split it into 7 triangles. Half-base of each is 2 so the distance of center to the midpoint of the base is (Pythagoras) square root of (4.62 - 22) = 4.162 triangle is this times 2, and with 7 triangles multiply also by 7 to get an approximate area of 58 sq in. 
4 0
3 years ago
William works at a nearby electronics store. He makes a commission of 6% percent on everything he sells. If he sells a computer
Naddika [18.5K]

Commission earned by William is $ 45.84

<h3><u>Solution:</u></h3>

Given that,

William makes a commission of 6% percent on everything he sells

He sells a computer for $764.00

<em><u>To find: Commission amount of William</u></em>

Given that he makes a commission of 6 % on everything he sells. So he has received a commission of 6 % of $ 764.00

Commission amount of William = 6 % of $ 764.00

a % of b can be written in fraction as \frac{a}{100} \times b

6 \% \text { of } 764=\frac{6}{100} \times 764=0.06 \times 764=45.84

Thus commission earned by William is $ 45.84

8 0
3 years ago
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