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3 years ago

How to find out how much tile i need for an odd shaped house?

Mathematics

1 answer:

Lynna [10]3 years ago

4 0

Measure the perimeter and the are and the see how long and wide the tile is

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Divide the bh by 1/2

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Is the square root of 4 plus the square root of 16 rational

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Yes because square root of 4 is 2 and square root of 16 is 4. 4+2=6

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Identify the "inside function" u = f(x) and the "outside function" y = g(u). Then find dy/dx using the Chain Rule.

skad [1K]

DfLet $f(x)=\sec x$ and $g(x)=\sqrt x$ . Then

$y=\sec\sqrt x=\sec(g(x))=f(g(x))=f\circ g(x)$

By the chain rule,

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx}$

where $u=g(x)=\sqrt x$ , so that $y=f(g(x))=f(u)=\sec u$ . We have

$\dfrac{\mathrm du}{\mathrm dx}=\dfrac1{2\sqrt x}$
$\dfrac{\mathrm d\sec u}{\mathrm du}=\sec u\tan u$

and so

$\dfrac{\mathrm dy}{\mathrm dx}=\sec u\tan u\dfrac{\mathrm dy}{\mathrm du}=\dfrac{\sec\sqrt x\,\tan\sqrt x}{2\sqrt x}$

5 0

3 years ago

Phineas puts $800 into a certificate of deposit that earns 3.39%. If the money is compounded monthly, how much will it be worth

arlik [135]

It will be worth $885.51 in 3 years

Step-by-step explanation:

The formula for compound interest, including principal sum is:

$A=P(1+\frac{r}{n})^{nt}$ , where:

A is the future value of the investment/loan, including interest
P is the principal investment amount
r is the annual interest rate (decimal)
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

∵ Phineas puts $800 into a certificate of deposit

∴ P = 800

∵ The rate of deposit is 3.39%

∴ r = 3.39% = 3.39 ÷ 100 = 0.0339

∵ The money is compounded monthly

∴ n = 12

∵ t = 3

- Substitute these values in the formula above

∴ $A=800(1+\frac{0.0339}{12})^{12(3)}$

∴ $A=800(1.002825)^{36}$

∴ A = 885.51407

- Round it to the nearest cent ⇒ hundredths place

∴ A = 885.51

It will be worth $885.51 in 3 years

Learn more:

You can learn more about the interest in brainly.com/question/3614284

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3 years ago