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Tema [17]
3 years ago
7

Write a compound interest function to model each situation. Then find the balance after the given number of years.

Mathematics
1 answer:
andriy [413]3 years ago
3 0

Answer:

See explanation

Step-by-step explanation:

The standard compound interest formula is A = P(1+\frac{r}{n})^{nt} where:

P is the principal amount

r is the interest rate (typically as a percentage)

t is the time

n is the times compounded per unit of time

So,

1)  A = 50000(1+\frac{0.03}{12})^{(12)(6)} =59847.42

2) A = 43000(1+\frac{0.05}{1})^{(1)(3)} =49777.88

3) A = 65000(1+\frac{0.06}{4})^{(4)(12)} =132826.08

You should check my answers though, I may have mixed up some terms.

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Which properties are used to add these complex numbers? Check all that apply. (4+3i)+(8+2i)=(4+8i)+(3i+2i)=12+5i A. Associative
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A. Associative Property
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Mike got a 45% discount when he bought a new jacket. Which of the following is NOT equivalent to 45%?
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Answer:

4/5 is NOT equivalent to 45%

Step-by-step explanation:

4/5 = 80%

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The equation (x-3)^2+(y+7)^2=64 models the position and range of the source of a radio signal. Describe the position of the sour
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\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad 
radius=\stackrel{}{ r}\\\\
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(x-3)^2+(y+7)^2=64\implies [x-\stackrel{h}{3}]^2+[y-(\stackrel{k}{-7})]^2=\stackrel{r}{8^2}
\\\\\\
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so, the broadcast location and range is more or less like the picture below.

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I need help bruv. For the function y=x^2 - 5x - 6 .
lara [203]

Answer:

a. Vertex = (2.5,-12.25)

b. y-intercept = (0,-6)

c. x-intercept = (6,0) ; (-1,0)

Step-by-step explanation:

a.

Your equation is written as:

y = ax^{2} + bx +c

The easiest way to find the vertex is writing the equation this way:

y = a(x-h)^{2}+k

Being the vertex (h,k)

So first complete the square

y = x^{2} -5x -6 \\y = x^{2} - 2(2.5x) -6 \\y = x^{2} - 2(2.5x) +2.5^{2} - 2.5^{2} -6 \\y = (x^{2} -2(2.5x) + 2.5^{2}) -6.25 - 6 \\y = (x-2.5)^{2} -12.25

Vertex : (2.5,-12.25)

b.

To find the y-intercept you need to replace the equation when x = 0 and get y

y = (0)^{2} - 5(0) -6\\y = - 6

c.

To find the x-intercept you need to replace the equation when y = 0 and get x

0 = x^{2} - 5x -6 \\0 = (x-6)(x+1)\\x = 6\\x = -1

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