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3 years ago

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Mathematics

1 answer:

antoniya [11.8K]3 years ago

3 0

Answer:

happy

Step-by-step explanation:

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Angle C is inscribed in circle O.

tatuchka [14]

Answer:

The radius of circle O is 8.5 Units

Step-by-step explanation:

Solution

The radius of a circle is refereed to as the half of the diameter.

Now,

On how to figure out the length of AB, we apply the Pythagorean's equation or formula which is given below

Thus,

a² + b² = c²

(15)² + (8)² = c²

225 + 64 = c²

√289 = √c²

Then

c = 17

What this shows is that AB is 17 units.

Since we have gotten the diameter, the next step is to divide into half the know the radius value

Therefore,

17 ÷ 2 = 8.5 Units

= 8.5 Units.

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3 years ago

An account grows at an annual interest rate of r⁡ ⁣, so it grows by a factor of x=1+r⁡ ⁣⁣ ⁡ each year. The function A(x)=800x

Paladinen [302]

Given:

Annual interest rate = r⁡%

Growth factor : x = 1 + r⁡

The below function gives the amount in the account after 4 years when the growth factor is x⁡ ⁣⁣.

$A(x)=800x^4+350x^3+500x^2+600x$

To find:

The total amount in the account if the interest rate for the account is 3% each year and initial amount.

Solution:

Rate of interest = 3% = 0.03

Growth factor : x = 1 + ⁡0.03 = 1.03

We have,

$A(x)=800x^4+350x^3+500x^2+600x$

Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.

$A(1.03)=800(1.03)^4+350(1.03)^3+500(1.03)^2+600(1.03)$

$A(1.03)=800(1.12550881)+350(1.092727)+500(1.0609
)+618$

$A(1.03)=900.407048+382.45445+530.45+618$

$A(1.03)=2431.311498
$

$A(1.03)\approx 2431.31
$

Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.

For initial amount the rate of interest is 0.

Growth factor : x = 1 + ⁡0 = 1

Substitute x=0 in the given function to find the initial amount.

$A(1)=800(1)^4+350(1)^3+500(1)^2+600(1)$

$A(1)=800+350+500+600$

$A(1)=2250$

Therefore, 2250 was put into the account at the beginning.

3 0

3 years ago