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3 years ago

Thank you to whoever answers! What is 4/10-3/10?

Mathematics

1 answer:

Alexeev081 [22]3 years ago

8 0

0.1 that’s the answer

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The price of a book is $17.50 after a 12% discount. What is the original price of the book?

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3 years ago

What percent of northeastern students do five years

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Currently, 17 percent graduate in four years

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3 years ago

What is the rate of change or slope for the equation y=-2(x^2)+8?

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Step-by-step explanation:

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3 years ago

Given that tan^2 theta=3/8,what is the value of sec theta?

Alex Ar [27]

Answer:

The value of SecФ is $\pm \sqrt{\frac{11}{8}}$ .

Step-by-step explanation:

Given as for trigonometric function :

tan²Ф = $\frac{3}{8}$

Or, tanФ = $\sqrt{\frac{3}{8} }$

∵ tanФ = $\frac{Perpendicular}{Base}$

So, $\frac{Perpendicular}{Base}$ = $\sqrt{\frac{3}{8} }$

So, Hypotenuse² = perpendicular² + base²

or, Hypotenuse² = ( $\sqrt{3}$ )² + ( $\sqrt{8}$ )²

Or, Hypotenuse² = 3 + 8 = 11

Or, Hypotenuse = ( $\sqrt{11}$ )

Now SecФ = $\frac{Hypotenuse}{Base}$

or, SecФ = $\frac{\sqrt{11}}{\sqrt{8}}$ = $\sqrt{\frac{11}{8} }$

<u>Second Method</u>

Sec²Ф - tan²Ф = 1

Or, Sec²Ф = 1 + tan²Ф

or, Sec²Ф = 1 + $\frac{3}{8}$

Or, Sec²Ф = $\frac{11}{8}$

Or, SecФ = $\pm \sqrt{\frac{11}{8}}$

Hence The value of SecФ is $\pm \sqrt{\frac{11}{8}}$ . Answer

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3 years ago

Read 2 more answers

Skylar plans to use $3400 to open a savings account with an annual interest rate of 1.15%. How much more interest will he earn o

Tanzania [10]

Answer:

$ 2.5

Step-by-step explanation:

Given that

Total Amount to be invested = P = $3400

Total Time of investment = t = 13 years

Rate of interest = r = 1.15 %

Lets calculate Simple interest first

As we know formula for simple interest is

$A = P (1 +r)^{t}$

Substituting the values

$A = 3400(1+ \frac{1.15}{100} )^{13}$

A = $ 3944.9

Lets now calculate the compound interest

As we know formula for simple interest is

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

As compound interest applies every 3 months so n =3

So,

$A = 3400 (1 + \frac{1.15}{100*4} )^{13*4}$

A = $ 3947.4

Now Lets calculate how much more he will earn using compound interest.

It can be found by taking difference of compound interest and simple interest

Amount = 3947.4 - 3944.9 = $ 2.5

So Skyler must have earned 2.5 dollar more using the compound interest.

8 0

3 years ago