PLEASE HELP ME! THANK YOU!!

Answers

Answer 1

Answer: It's obviously the second one

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Uhmmmmmmmmmmmmmmmmmmmmm
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85% of what number is 10.2

Answers

85% is equal to 0.85 or 85/100

10.2/0.85 = 12

Line ET is tangent to circle A at T, and the measure of Arc TG is 70°.What is the measure of ∠GET?

A. 55°
B. 20°
C. 35°
D. 110°

Answers

Line ET is tangent to circle A at T

∴ ET ⊥ TN
∴ ∠ ETN = 90
the measure of Arc TG = 70

∠ TNG = half the measure of Arc TG = 0.5 *70 = 35

Δ ETN ⇒ The sum of all angles = 180

∴∠ GET = ∠ NET = 180 - (90 + 35 ) = 55

∴ The correct answer is option A. 55°

I will calculate this problem in two ways

alternative method 1
we know that
The inscribed angle measures half of the arc it comprises.
∠TNE=(1/2)*arc TG------> (1/2)*70°----> 35°

the triangle TEN is a right triangle
∠TNE+∠GET=90°-----> by complementary angles
∠GET=90-35---> 55°

the answer is
∠GET=55°

alternative method 2
we know that
The measure of the external angle is the semi difference of the arcs that it covers.
∠GET=(1/2)*[arc TN-arc TG]---> (1/2)*[180-70]---> (1/2)*110---> 55°

the answer is
∠GET=55°

suppose you invest 1050 at an annual interest rate of 5.5% compounded continuously. How much will you have in the account after 5 years? round the solution to the nearest dollar. HELP please

Answers

For an investment with an interest rate compounded continuously, the formula would be

F = Pe^(rn), where r is the annual interest rate and n is the number of years.
F = 1050e^(0.055*5)
F = $1382.36

I hope I was able to answer your question.

Answer: $1372

Step-by-step explanation:

The formula to calculate the compound amount is given by :-

$A=P(1+r)^t$ , where P is principal amount, r is rate of interest and t is time.

Given: P = $1050

r=5.5%=0.055

t= 5 years

Now, the compound amount after 5 years will be :_

$A=1050(1+0.055)^5\n\n\Rightarrow\ A=\$1372.30800673\approx\$1372$

You will have $1372 in the account after 5 years.

If f(x)= 2x, find f(-3)
please help, I'm so confused ;-;

Answers

Answer:

-6

Step-by-step explanation:

2 x -3 = -6

hope this helped

Raphael paid $167 for a camera during a 75% off sale. what was the cameras regular price?

Answers

As the camera was at 25% of the original price, this means you've got to multiply this number to by 4 to get the original price.
167*4= 668
Therefore, the camera's regular price is $668
Hope this helps :)

The original price of the camera was $292.25. I changed 75 percent to a decimal which became 0.75. Then I added $167 plus 0.75 which equals 292.25. When the dollar sign was added, $292.25 was the camera's original price.

Hope I helped! :)

Factor the following expression completely
X4-y4

Answers

$x^4-y^4=\left(x^2\right)^2-\left(y^2\right)^2=(x^2-y^2)(x^2+y^2)=(x-y)(x+y)(x^2+y^2)\n\n\na^2-b^2=(a-b)(a+b)$

1)(x-y)(x+y)(x^2+y^2)
=(x^2-y^2)(x^2+y^2)
=x^4-y^4

2)(x-y)^2(x+y)^2
=(x^2-2xy+y^2)(x^2+2xy+y^2)
=x^4+y^4

3)(x-y)^4
=x^4-4x^3y+6x^2y^2-4xy^3+y^2

4)(x^2-y^2)(x^2+y^2)
=x^4-y^4

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