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3 years ago

Help is very much appreciated!

Mathematics

1 answer:

mote1985 [20]3 years ago

6 0

Answer:

Step-by-step explanation:

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Monthly sales of a particular personal computer are expected to decline at the following rate of S'(t) computers per month, whe

Len [333]

Answer:

$S(t) = -18t^\frac{5}{3}+2440$

Company will take approximately 14 months

Step-by-step explanation:

Given function that shows the change rate of computers,

$S'(t)=-30 t^{\frac{2}{3}}$

Where,

t = number of months

On integrating,

$\int S'(t) = -30\int t^{\frac{2}{3}} dt$

$S(t) = -30(\frac{t^{\frac{2}{3}+1}}{\frac{2}{3}+1})+C$

$S(t) = -30 (\frac{t^{\frac{2+3}{3}}}{\frac{2+3}{3}})+C$

$S(t) = -30(\frac{t^\frac{5}{3}}{\frac{5}{3}})+C$

$S(t) = -30(\frac{3t^\frac{5}{3}}{5})+C$

$S(t) =-18t^\frac{5}{3}+C$

According to the question,

S(0) = 2,440,

$\implies -18(0)^\frac{5}{3}+C=2440\implies C = 2440$

Hence, the required function,

$S(t) = -18t^\frac{5}{3}+2440$

If S(t) = 1,000,

$-18t^\frac{5}{3}+2440=1000$

$-18t^\frac{5}{3}=-1440$

$t^\frac{5}{3}=80$

$t = (80)^\frac{3}{5}\approx 13.86$

6 0

3 years ago

Please help me (look at picture)

Alex777 [14]

Answer:

−9x^4+6x^3+6x^2−16x+8

Step-by-step explanation:

Picture below...

Hope this helped!

Brainliest please!

5 0

3 years ago

Read 2 more answers

A fruit merchant sells packages of apples and bananas. Each package includes 3 apples and 4 bananas. If the merchant Sells 20 pa

diamong [38]

Answer:

Step-by-step explanation:

number of apples in each package = 3

number of bananas in each package = 4

total number of bananas in every 20 packages = 20 × 4 = 80

pls mark as brainliest. . .

6 0

3 years ago

Given that (Triangle)MNO is similar to (Triangle)RST, determine the perimeter of (Triangle)RST.

blsea [12.9K]

Answer:

Step-by-step explanation:

Given that the 2 triangles are similar then the ratios of corresponding sides are equal.

This enables RT to be found, that is

$\frac{4}6}$ = $\frac{10}{RT}$ ( cross- multiply )

4RT = 60 ( divide both sides by 4 )

RT = 15

Hence

perimeter of ΔRST = 6 + 12 + 15 = 33 units

4 0

4 years ago

The area of a rectangular garden is 4988 m².

Soloha48 [4]

Answer:

Area of rectangle = l × b = 4988m².

B = 58m.

L = 4988/58m.

Thus length becomes 86m.

pls give brainliest for the answer

4 0

3 years ago