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sveta [45]
3 years ago
10

Ashleigh wants to double her money. She put $5,000 in a bank account that pays 4% compounded continuously. How long will it take

her to double her money? (Round to
Mathematics
1 answer:
pantera1 [17]3 years ago
8 0

Answer:

approximately 17.3 years

Step-by-step explanation:

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Rewrite the expression 4+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B16-%284%29%285%29%7D" id="TexFormula1" title="\sqrt{16-(4)(
Inessa05 [86]

Answer:

2+i

Step-by-step explanation:

Given the expression:

\dfrac{4+\sqrt{16-(4)(5)}}{2}

To find:

The expression of above complex number in standard form a+bi.

Solution:

First of all, learn the concept of i (pronounced as <em>iota</em>) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by i.

Value of i =\sqrt{-1}.

Now, let us consider the given expression:

\dfrac{4+\sqrt{16-(4)(5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-(4\times 5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-20}}{2}\\\Rightarrow \dfrac{4+\sqrt{-4}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)(4)}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)}\sqrt4}{2}\\\Rightarrow \dfrac{4+\sqrt4i}{2} \ \ \ \ \ (\because \sqrt{-1} =i) \\\Rightarrow \dfrac{4+2i}{2}\\\Rightarrow 2+i

So, the given expression in standard form is 2+i.

Let us compare with standard form a+bi so we get a =2, b =1.

\therefore The standard form of

\dfrac{4+\sqrt{16-(4)(5)}}{2}

is: \bold{2+i}

8 0
2 years ago
What is the missing step in this proof? a. ∠abc ≅ ∠dbe b. ∠bca ≅ ∠bde c. ∠acb ≅ ∠deb d. ∠bde ≅ ∠ade e. ∠cab ≅ ∠dac
Nana76 [90]

Based on the reflexive property of congruency, the missing step in the proof is: A. ∠ABC ≅ ∠DBE

<h3>What is the Reflexive Property of Congruency?</h3>

The reflexive property of congruency states that an angle will always be congruent to itself.

In the diagram given, we can prove that ∠ABC ≅ ∠DBE based on the reflexive property.

Therefore, the missing step in nthe proof is: A. ∠ABC ≅ ∠DBE

Learn more about reflexive property on:

brainly.com/question/1601404

#SPJ4

5 0
2 years ago
What is the slope of the line that passes through the points (3,2) and (-1,-4)? Write your answer as a fraction in simplest form
Nataly_w [17]

Answer:

Slope: -1/2

Step-by-step explanation:

Take a look at the slope formula

2-(-4)/3-(-1)

=-2/4

=-1/2

7 0
2 years ago
Circle has equation x^2+y^2=36
baherus [9]
Answer: AB = 10.2

Explanation:

A(5.1, root11)
B(-5.1, root11)

AB = |5.1| + |-5.1| = 5.1 + 5.1 = 10.2
4 0
2 years ago
Which value of x is a solution to the equation 13 − 36x2 = −12?
stiv31 [10]
X=-5/6 and x=5/6 hope I could help.
6 0
3 years ago
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