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GuDViN [60]
3 years ago
13

Find the cost of a cd in 6years,assuming an inflation rate if 4% , if its present cost is $11.95

Mathematics
1 answer:
choli [55]3 years ago
3 0

The cost of a cd after 6 year is =$ 15.12

Step-by-step explanation:

The present cost of the cd is $11.95 and inflation rate 4%

P = $11.95 , r = 4% and  n = 6 years

The cost of a cd after 6 year is =P (1+\frac{r}{100})^n

                                                   =$ 11.95(1+\frac{4}{100})^6

                                                   =$ 15.12

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A bucket that weighs 4lband a rope of negligible weight are used todraw water from a well that is 80ftdeep. The bucket is filled
liq [111]

Answer:

Workdone = 3200 lb.ft

Step-by-step explanation:

We are told that the bucket is filled with 40 lb of water but water leaks out of a hole in the bucket at a rate of 0.2lb/s

Thus,

Weight of water at any given time (t) would be;

w(t) = 40 - 0.2t - - - - (1)

We are told the bucket is pulled up at a rate of 2ft/s.

Thus, height at time (t); y = 0 + 2t = 2t

Since y = 2t,

Then,t = y/2

Put y/2 for t in eq 1

Thus; w(y) = 40 - 0.2(y/2)

w(y) = 40 - 0.1y

Now, at y = 80 ft, we have;

w(80) = 40 - 0.1(80)

w(80) = 40 - 8 = 32 lb

Since 32 lbs are left, it means there is always water in the bucket.

Thus, work done is;

W = 80,0[∫(Total weight).dy]

W = 80,0[∫[(weight of rope) + (weight of bucket) + (weight of water)]dy]

W = 80,0[∫[0 + 4 + 40 - 0.1y]dy]

Integrating, we have;

W = [44y - y²/20] at boundary of 80 and 0

So,

W = [44(80) - 80²/20] - [0 - 0²/20]

W = 3200 lb.ft

8 0
3 years ago
S, U, N are collinear. What point is between the other two if NU = 1, SU = 2, SN = 3? NU + US = NS.
tigry1 [53]
U is between N and S.
The order of the letters does not matter, thus:
NU = 1 and US = 2 so NS = 3.
This is only possible if NU + US = NS
Proving U is between N and S.
6 0
3 years ago
Whats the perimeter of this small parallelogram?
Arisa [49]

Answer:

Perimeter = 18 units

Step-by-step explanation:

one side = 4

other side²  = 3² + 4² + 25

other side = √25 = 5

Perimeter = (2 x 4) + (2 x 5) = 18 units

4 0
3 years ago
Please help will give branliest! Find the two missing sides and write your answer as in simplified radical form.
hjlf

Answer: v = u= 2 \sqrt{2}

Step-by-step explanation:

v= cos45 * 4= 2 \sqrt{2}

- Apply Pythagorean theorem

4^{2}= (2\sqrt{2}) ^{2} + u^{2}

We have u = 2 \sqrt{2}

5 0
3 years ago
What is the line's slope​
ra1l [238]

Answer:

It tell the direction and the steepness of the line. Which means how much they rise or how much they fall, horizontal or vertical. It represent by the letter m

Step-by-step explanation:

m= y/x

more detail

m=  y₂ - y₁ / x₂ - x₁

     

4 0
3 years ago
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