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sammy [17]
3 years ago
10

How do i find LM? On number 2 .

Mathematics
1 answer:
Masja [62]3 years ago
4 0
Given: KL is a tangent to the circle.
LM is another tangent to the circle.

We can use the tangent meeting at an external point theorem.
<em>Theorem</em>: <em>The tangent segments to a circle from an external point are equal.
</em>
Thus, we can say KL = LM, as they lie on a common circle, and are tangents to such circle.

4x - 2 = 3x + 3
4x - 3x = 3 + 2
x = 5

Since LM is 3x + 3, we can substitute the value of x to LM to render:
3(5) + 3 = 18

Thus, LM = KL = 18 units.
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2.56 * 10^11 L

Step-by-step explanation:

1 body has 40 L

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4 years ago
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1. Michael invests $2000 in an annuity that offers an interest rate of 4% compounded quarterly for 5 years. What is the value of
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1. The formula for annual compound interest, including principal sum, is:

A = P (1 + r/n)ⁿˣ

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A = the future value = ?
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n = the number of times that interest is compounded per year = 4
x = the number of years = 5

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A = 2000 (1 + 0.04/4)²⁰

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2. The formula for annual compound interest, including principal sum, is:

A = P (1 + r/n)ⁿˣ

Where:

A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 48%
n = the number of times that interest is compounded per year = 12
x = the number of years = 2

Calculations:

A = 50 (1 + 0.48/12)²⁴

A = 50 (1 + 0.04)²⁴

A = 50 (1.04)²⁴

A = 50 ₓ 2.56

A = $128.16


3. The formula for annual compound interest, including principal sum, is:

A = P (1 + r/n)ⁿˣ

Where:

A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 4%
n = the number of times that interest is compounded per year = 12
x = the number of years = 3

Calculations:

A = 50 (1 + 0.04/12)³⁶

A = 50 (1 + 0.003)³⁶

A = 50 (1.003)³⁶

A = 50 ₓ 1.12

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x/5(10-11) Remember PEMDAS and remember to isolate the variable;)

1. x/5(10-11) =2 (subtract)

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