zacismyname

We can look at this in terms of a rate. . .

1m : 1000 years ...... Divide both sides by 1000

0.001 m : 1 year ........ change units

1 mm : 365 days ......... divide by 365

0.0027397mm (roughly) : 1 day ........ * by 2.5

0.0068493 mm (roughly) : 2.5 days

(corrected)

x+3y=24

y=2

X=?

This is a substitution question.

So by substituting in [y = 2] . . .

x + 3*(2) = 24

x + 6 = 24

x = 18

The tan ratio is: tanθ = opposite/adjacent

Am I right to assume that instead of opposite angle you mean opposite side?

In which case . . .

Hyp: 8.1

Adj: 6.1

Opp: 5.8 

tanθ = 5.8/6.1

(I find SOHCAHTOA really useful to remember the ratios . . .  Sin = 0/H  Cos = A/H Tan = O/A)

dejavu!

Yeah I also have the download version.

Thanks, I think I understand. The surds might have been throwing me off. 

But if a woodchuck could chuck wood would a woodchuck chuck wood?

y = x² - 4x      x = 4

 . . . I think this means when the lines cross. So the answer is 1 I think.

When x=4 . . . y = 4^2 - 4*4 = 0

Since y = x² - 4x is a parabola, it only ever crosses any x coordinate once. I think I'm making sense at least.

For simple interest:

$$I = PRT$$

$$I = 21000\times{0.095}\times{3}$$

$$I = 5985.00$$$

(note this is the interest, not the new sum)

For Compound interest:

$$A = P(1+r)^n$$

$$A = 21000\times{(1+0.095)^3}$$

$$A = 21000 \times {1.312932375}$$

$$A = 27571.58$$$

(this is the whole new amount) 

(0.49 - 0.04)/(12 - 8)  ..........(this is the total change over the 4 weeks)   

0.45 ounces/4 weeks ..........(in 4 weeks it increases by 0.45 ounces)

0.1125 ounces/week .......... (so on average, from week 8 to 12, the weight changes 0.1125 ounces per week)