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3 years ago

Could use some help please

Mathematics

1 answer:

Elanso [62]3 years ago

6 0

For the first scenario, you’re looking at a compound interest problem. You’re given all the information you need, so just input it into the compound interest equation.

A = P(1 + r/n)^nt

P is your principal, aka starting amount. That’s the 12000 people you start with.

R is your rate of interest, aka how much your principal is expanding by. That’s the 5% growth rate each year, or 0.05.

N is the number of times your principal grows each year. That’s only once here.

T is however long the change lasts. In this scenario, its from 2006 to 2020, so 14 years.

Input all this in and solve for A, which is your total amount.

A = 12,000(1 x 0.05/1)^(1 x 14) = 23,759.18

Since I doubt you can have 1/5 of a person, you round this down to 23,759, which is your answer.

I’d like to help with your second problem, but it’s cut off on the edge of the image, I can’t see all the numbers.

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Help please!!!!!!!!!

SOVA2 [1]

Find the area of the triangles and smal ler square and add them together ; and find the area of the complete square and set them equal to each other (these are known truths)
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Write the equation of a line perpendicular to y=3x+1and goes through the point ( 6,2) y=−13x+4 y=−13x−4 y=3x+4 y=3x−4

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Answer:

$y=-\frac{1}{3}x+4$

Step-by-step explanation:

step 1

Find the slope of the perpendicular line

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal

(the product of their slopes is equal to -1)

In this problem

we have

$y=3x+1$

The equation of the given line is $m=3$

the slope of the perpendicular line to the given line is

$m=-\frac{1}{3}$

step 2

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$m=-\frac{1}{3}$

$(x1,y1)=(6,2)$

substitute

$y-2=-\frac{1}{3}(x-6)$

Convert to slope intercept form

$y=mx+b$

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3 years ago

Which table represents a direct variation function?

sineoko [7]

Answer:

Option C is correct.

Step-by-step explanation:

A direct variation function is

y/x = k

i.e. we can say that the ratio of y and x is equal to a constant value k.

We will check for each Option given.

Option A

7/2 = 7/2

8/3 = 8/3

9/4 = 9/4

10/5 = 2

11/6 = 11/6

Option D is incorrect as y/x ≠ k as ratio of y/x for each value of table doesn't equal to constant

Option B

-3/2 = -3/2

-5/4 = -5/4

-6/6 = -1

-7/8 = -7/8

-8/10 = -4/5

Option B is incorrect as y/x ≠ k as ratio of y/x for each value of table doesn't equal to constant

Option C

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8/-4 = -2

6/-3 = -2

4/-2 = -2

2/-1 = -2

Option C is correct as y/x = k as ratio of y/x for each value in table c is equal to constant value -2

Option D

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Option D is incorrect as y/x ≠ k as ratio of y/x for each value of table doesn't equal to constant .

SO, Option C is correct.

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Aleonysh [2.5K]

Answer:

Option C

Step-by-step explanation:

Given 0.5≤ x ≤ 0.7

According to the range of x, we will check which option is true

Let x = 0.6

A. $\frac{x}{3} > \sqrt{x}$

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∴0.6/3 > √0.6 ⇒ 0.2 > 0.77 ⇒ Wrong inequality

B. x³ > 1/x

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C. √x > x³

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D. (x/3) > (1/x)

If x = 0.6

∴ 0.6/3 > 1/0.6 ⇒ 0.2 > 1.667 ⇒ Wrong inequality

So, The true inequality is option C

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