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3 years ago

EXPONENTIAL GROWTH FUNCTION

Mathematics

1 answer:

Hitman42 [59]3 years ago

7 0

Answer:

you can use the formula of ś = s (1+r/100)^t

Step-by-step explanation:

where ś = sales after 7 years

t= time taken

s= initial sales

r = rate

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PLEASE HELP ME!!Write the quotient as a mixed number.<br> 46 divided by 9 = 5 R1

Zigmanuir [339]

Answer:

$5\frac{1}{9}$

Step-by-step explanation:

When dividing 46 by 9 quotient is 5 and remainder is 46 - 45 = 1

$5\frac{1}{9}$

5 0

3 years ago

Solve the following equation by completing the square. 3x^2-3x-5=13

mr Goodwill [35]

we'll start off by grouping some

$\bf 3x^2-3x-5=13\implies (3x^2-3x)-5=13\implies 3(x^2-x)-5=13 \\\\\\ 3(x^2-x)=18\implies (x^2-x)=\cfrac{18}{3}\implies (x^2-x)=6\implies (x^2-x+~?^2)=6$

so we have a missing guy at the end in order to get the a perfect square trinomial from that group, hmmm, what is it anyway?

well, let's recall that a perfect square trinomial is

$\bf \qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2$

so we know that the middle term in the trinomial, is really 2 times the other two without the exponent, well, in our case, the middle term is just "x", well is really -x, but we'll add the minus later, we only use the positive coefficient and variable, so we'll use "x" to find the last term.

$\bf \stackrel{\textit{middle term}}{2(x)(?)}=\stackrel{\textit{middle term}}{x}\implies ?=\cfrac{x}{2x}\implies ?=\cfrac{1}{2}$

so, there's our fellow, however, let's recall that all we're doing is borrowing from our very good friend Mr Zero, 0, so if we add (1/2)², we also have to subtract (1/2)²

$\bf \left( x^2 -x +\left[ \cfrac{1}{2} \right]^2-\left[ \cfrac{1}{2} \right]^2 \right)=6\implies \left( x^2 -x +\left[ \cfrac{1}{2} \right]^2 \right)-\left[ \cfrac{1}{2} \right]^2=6 \\\\\\ \left(x-\cfrac{1}{2} \right)^2=6+\cfrac{1}{4}\implies \left(x-\cfrac{1}{2} \right)^2=\cfrac{25}{4}\implies x-\cfrac{1}{2}=\sqrt{\cfrac{25}{4}} \\\\\\ x-\cfrac{1}{2}=\cfrac{\sqrt{25}}{\sqrt{4}}\implies x-\cfrac{1}{2}=\cfrac{5}{2}\implies x=\cfrac{5}{2}+\cfrac{1}{2}\implies x=\cfrac{6}{2}\implies \boxed{x=3}$

6 0

3 years ago

yesterday Josh sold some boxes of greeting cards. today he sold seven boxes .if he sold 25 boxes in all , how many did he sell

Galina-37 [17]

If he sold 25 boxes in all and he sold 7 today then he would of sold 25 - 7 boxes yesterday. Josh sold 18 boxes yesterday.

Today = 7

Yesterday = 18

Total = 25

7 + x = 25, when x = Yesterdays sold boxes.

Hope this helps :)

7 0

3 years ago

Read 2 more answers

A pile of sand has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circu

xenn [34]

Answer:

The area of tarpaulin is 1315.63 ft^2.

Step-by-step explanation:

height, h = 20 feet

circumference, C = 102 feet

Let the radius is r.

Circumference, C = 2 x 3.14 x r = 102

r = 16.24 feet

Let the slant height is L.

$L = \sqrt{h^2 + r^2}\\\\L = \sqrt{20^2 + 16.24^2}\\\\L = 25.8 ft$

The curved surface area is

S = 3.14 x r x L

S = 3.14 x 16.24 x 25.8 = 1315.63 ft^2

4 0

2 years ago

What is the equation of the line through (1,6) and (0,2)

AlladinOne [14]

Answer:

y=4x+2

Step-by-step explanation:

To find the slope of a line, you would do y₂-y₁/x₂x₁

This would be 2-6/0-1...

So your answer would be -4/-1

After simplifying, your slope is 4.

To write this in slope-intercept form, that would be y=4x+2

7 0

3 years ago