3 years ago

PLEASEEE HELPP MEE WITH MATHHH NUMBERS 8 AND 12!!!!!!

Mathematics

1 answer:

Usimov [2.4K]3 years ago

8 0

Answer: edit* here you go! both answers here :) sorry for the wait!!!

Step-by-step explanation:

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$1000 is invested in an account at interest rate r=0.045, compounded continuously. Find the time required for the amount to doub

natulia [17]

Answer:

The formula you'll need is:

Years = ln (total / principal) / rate

ln means natural log

Years = ln (2,000 / 1,000) / .045

Years = ln (2) / .045

Years = 0.69314718056 / .045

Years = 15.4033

Step-by-step explanation:

3 0

2 years ago

"A line that goes through (4, 7) and (-2, 1)"

Olenka [21]

Y= x + 3
1. Find the gradient(slope)

1 - 7 / - 2 - 4
=1

2. Find the y. Intercept ( c )
Y = x + c
Replace by any of the two coordinates given (4 , 7 )
7 = 4 + c
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Equation => Y = x + 3

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3 years ago

Find in degrees the numeric value of the acute angle of rotation that eliminates the product term from the equation 7x2+24xy−34x

lutik1710 [3]

Rotating the graph of $Ax^2+Bxy+Cy^2+Dx+Ey+F=0$ with $B\ne0$ counterclockwise by $\theta$ eliminates the $xy$ term, where $\cot2\theta=\frac{A-C}{B}.$ Plugging in, we have $\cot2\theta=\frac{7}{24},$ since $C=0.$ Solving, we have $\theta=\frac{1}{2}\cot^{-1}(\frac{7}{24})\approx\boxed{36.9^\circ}.$