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Goryan [66]
3 years ago
14

please help!!!!! what will be the balance in an account that was initially $400 and has been drawing 5.5% interest compounded co

ntinuously for 8 years? thank you in advance!!​

Mathematics
1 answer:
Viktor [21]3 years ago
4 0

Answer:

  $621.08

Step-by-step explanation:

The formula for the amount (A) resulting from principal P being invested at rate r continuously compounded for period t is ...

  A = Pe^(rt)

Filling in the given numbers and doing the arithmetic, we get ...

  A = $400e^(0.055·8) ≈ $621.08

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expeople1 [14]

Answer:

Quadratic Equation:

3x^2=2x +5

\text{Standard Form: } 3x^2-2x-5=0

From the standard form of a Quadratic Function, we get:

a=3,\:b=-2,\:c=-5

Discriminant:

\Delta=\left(-2\right)^2-4\cdot \:3\left(-5\right)

\Delta=\left(-2\right)^2+4\cdot \:3\cdot \:5

\Delta=64

From the discriminant, we conclude that the equation will have two real solutions.

State that:

b^2-4ac

b^2-4ac =0:\text{The equation has 1 real solution}

b^2-4ac >0:\text{The equation has 2 real solutions}

By the way, solving the equation given:

$x=\frac{2\pm\sqrt{64}}{2\cdot \:3}$

$x=\frac{2\pm\sqrt{64}}{6}$

$x=\frac{2\pm8}{6}$

$x_{1} =\frac{10}{6}=\frac{5}{3}  $

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5 0
3 years ago
I need the answer for this problem please
Savatey [412]

Answer:

B

Step-by-step explanation:

Find all probabilities:

A. False

Pr(\text{red shirt}|\text{large shirt})=\dfrac{\text{number red large shirts}}{\text{number large shirts}}=\dfrac{42}{77}=\dfrac{6}{11}\\ \\Pr(\text{large shirt})=\dfrac{\text{number large shirts}}{\text{number shirts}}=\dfrac{77}{165}=\dfrac{7}{15}

B. True

Pr(\text{blue shirt}|\text{large shirt})=\dfrac{\text{number blue large shirts}}{\text{number large shirts}}=\dfrac{35}{77}=\dfrac{5}{11}\\ \\Pr(\text{blue shirt})=\dfrac{\text{number blue shirts}}{\text{number shirts}}=\dfrac{75}{165}=\dfrac{5}{11}

C. False

Pr(\text{shirt is medium and blue})=\dfrac{\text{number medium and blue shirts}}{\text{number shirts}}=\dfrac{48}{165}=\dfrac{16}{55}\\ \\Pr(\text{medium shirt})=\dfrac{\text{number medium shirts}}{\text{number shirts}}=\dfrac{88}{165}=\dfrac{8}{15}

D. False

Pr(\text{large shirt}|\text{red shirt})=\dfrac{\text{number red large shirts}}{\text{number red shirts}}=\dfrac{42}{90}=\dfrac{7}{15}\\ \\Pr(\text{red shirt})=\dfrac{\text{number red shirts}}{\text{number shirts}}=\dfrac{90}{165}=\dfrac{6}{11}

4 0
3 years ago
Suppose that E and F are two events and that N (E and F) = 260 and N(E) = 630. What is P(F|E)​?
Sveta_85 [38]

Answer: 0.4127

Step-by-step explanation:

The probability formula to find p(F/E):

p(F/E)= N(E n F) / N(E)

p(F/E)= 260 / 630

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3 years ago
It is known that 5% of the population over the age of 30 in a city is a university graduate. Among the 100 people chosen randoml
Novosadov [1.4K]

Answer:

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P(5 graduates) = (1/20)^5

P(5 graduates) = 1/3200000

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Probability of never being a graduate = ( 1 - (1/20)) = 19/20

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For slope m and point (x₁, y₁), the point-slope equation of the line can be written as
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3 years ago
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