Expand and simplify 2(x+7)+3(x+1)

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

Marty went shopping for school supplies. He bought a package of pens for $2.25, a package of paper for $3.25, a notebook for $5.

Marat540 [252]

Answer:

$3.50

Step-by-step explanation:

to find the range you take the highest number and the lowest number and subtract them

so with that, let us do just that-

$5.75, $3.75, $3.25, $2.25

$5.75-$2.25

=$3.5

and since we're dealing with money we must add a '0' to the end of the decimal- $3.50

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

8 0

3 years ago

You and three friends go to a baseball game. You each pay $2 for a drink and x dollars for nachos. Use the Distributive Property

BabaBlast [244]

Answer:

The simplified expression for the total amount the group pays is (6 + 3·x) dollars

Step-by-step explanation:

The given parameters are;

The number of friends that went to the baseball game = 3

The amount each paid for a drink = $2

The amount each paid for nachos = x dollars

Therefore, the amount each spend = $2 + x dollars

The total amount the three friends spend = 3 × ($2 + x dollars)

By distributive property is given as follows;

a × (b + c) = a × b + a × c

a × (b - c) = a × b - a × c

Given that a, b, and c are real numbers

Therefore;

The total amount the three friends spend = 3 × ($2 + x dollars) = 3 × $2 + 3 × x dollars

The total amount the three friends spend = 3 × $2 + 3 × x dollars

The simplified expression for the total amount the group pays = $(6 + 3·x) = (6 + 3·x) dollars.

4 0

3 years ago

Six times the lesser of the two consecutive even integers is 4 times the greater even integer. What are the integers?

Paladinen [302]

Answer:

Integers are 4 and 6

Step-by-step explanation:

Let the two consecutive even integers be $x,x+2$ such that $x$

Six times the lesser of the two consecutive even integers is 4 times the greater even integer.

So,

$6x=4(x+2)\\6x=4x+8\\6x-4x=8\\2x=8\\x=4$

Other integer $=x+2=4+2=6$

5 0

3 years ago

Ribbon A is 1/3 m long. It is 2/5 m shorter than Ribbon B. What's the total length of the two ribbons?

Softa [21]

Hi

Answer:

$\frac{11}{15}$

Step-by-step explanation:

A = $\frac{1}{3}$

B = $\frac{2}{5}$

_

A = $\frac{1x5}{3x5}=\frac{5}{15}$

B = $\frac{2x3}{5x3}=\frac{6}{15}$

$\frac{5}{15}$ + $\frac{6}{15}$ = $\frac{11}{15}$

_

Good Luck!

#Turkey

5 0

4 years ago

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