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3 years ago

Find the value of y

Mathematics

1 answer:

Olin [163]3 years ago

3 0

Answer:

y ≈ 4.3 cm

Step-by-step explanation:

Given 2 secants from an external point to the circle.

The the product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is

3(3 + y) = 2(2 + 6 + 3) = 2(11) = 22, that is

9 + 3y = 22 ( subtract 9 from both parts )

3y = 13 ( divide both sides by 3 )

y ≈ 4. 3 cm ( to the nearest tenth )

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Write N as a discrete exponential function of t of the form N(t)=A(1+r)t. (HINT: You will need to find (1+r), where r is the rat

Whitepunk [10]

Answer:

$N(t)=84(1+0.0405)^t$ .

Step-by-step explanation:

We have been given that $N(11)=130$ and $N(0)=84$ . We are asked to write N as a discrete exponential function of t of the form $N(t)=A(1+r)^t$ .

Using our given information, we can set an equation as:

$N(0)=A(1+r)^0$

$84=A*1$

$84=A$

Using our given information, we will get:

$N(11)=A(1+r)^{11}$

Substitute the given values:

$130=84(1+r)^{11}$

$\frac{130}{84}=\frac{84(1+r)^{11}}{84}$

$1.5476190476190476=(1+r)^{11}$

Switch sides:

$(1+r)^{11}=1.5476190476190476$

Take 11th root of both sides:

$\sqrt[11]{(1+r)^{11}}=\sqrt[11]{1.5476190476190476}$

$1+r=1.04050024747304$

$r=1.04050024747304-1$

$r=0.04050024747304$

$r\approx 0.0405$

Therefore, our required function would be $N(t)=84(1+0.0405)^t$ .

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2 years ago

Find the value of y ​

Find the value of y