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4 years ago

In the accompanying diagram PA is tangent to circle 0 at A if CN=12 and PB=4 what is the length of PA?

Mathematics

1 answer:

bogdanovich [222]4 years ago

4 0

576972840482626 is the email answer your welcome merry Christmas

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The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price

likoan [24]

Answer:

A) 3%

B) Product A

Step-by-step explanation:

Exponential Function

General form of an exponential function: $y=ab^x$

where:

a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
x is the independent variable
y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Part A

Product A

Assuming the function for Product A is exponential:

$f(x) = 0.69(1.03)^x$

The base (b) is 1.03. As b > 1 then it is an increasing function.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, product A is increasing by 3% each year.

Part B

$\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100$

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

$\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%$

Check using different two consecutive values of f(t):

$\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%$

Therefore, as 3% > 1%, Product A recorded a greater percentage change in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

a = 10,100
b = 1.01
n = t - 1 (as the initial value is for t = 1 not t = 0)

$\implies f(t) = 10100(1.01)^{t-1}$

To check this, substitute the values of t for 1 through 4 into the found function:

$\implies f(1) = 10100(1.01)^{1-1}=10100$

$\implies f(2) = 10100(1.01)^{2-1}=10201$

$\implies f(3) = 10100(1.01)^{3-1}=10303.01$

$\implies f(4) = 10100(1.01)^{4-1}=10406.04$

As these values match the values in the given table, this confirms that the found function for Product B is correct and that Product B increases by 1% per year.

4 0

2 years ago

The ratio of red candies to blue candies is 5:4 in the bag. If there are 20 blue candies in the bag, how many red candies are th

aksik [14]

Answer:

Step-by-step explanation:

4/20 is 5 so 5*5 is 25 red candies

5 0

3 years ago

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Pls help me plssss help asap

Anestetic [448]

Answer:

1) 15

2) 18

3) 72

8 0

3 years ago

Find the lateral surface area of the figure.

Brut [27]

Surface area of the cylinder = 816.4 sq. ft.

Solution:

Height of the cylinder = 21 ft

Diameter of the cylinder = 10 ft

Radius of the cylinder = 10 ÷ 2 = 5 ft

Use the value of $\pi$ = 3.14

Surface area of the cylinder = $2 \pi r h+2 \pi r^{2}$

Substitute the given values in the surface area formula, we get

Surface area of the cylinder $$=2\times3.14\times 5\times 21+2 \times3.14\times 5^2$

$=659.4+157$

$=816.4$ ft²

Hence the surface area of the cylinder is 816.4 sq. ft.

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3 years ago

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Solve the quadratic equation. 4x2 - 9 = 0

fenix001 [56]

(2x +3)(2x-3)= 0

x= -3/2 x = 3/2

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3 years ago

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