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Lynna [10]
2 years ago
8

You want to have $200,000 when you retire in 25 years. If you can earn 3% interest rate compounded continuously, how much would

you need to deposit now into the account to reach your retirement goal?
Mathematics
1 answer:
mash [69]2 years ago
5 0

9514 1404 393

Answer:

  $94,473.31

Step-by-step explanation:

The multiplier in 25 years is ...

  e^(rt) = e^(0.03·25) = e^0.75 ≈ 2.117

To have an account value of $200,000 in 25 years, you need to deposit now ...

  $200,000/2.117 = $94,473.31

_____

When this amount is multiplied by 2.117, the result is 200,000.

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Find the estimates of x^2-x-2=3
Julli [10]

Answer:

x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79

Step-by-step explanation:

Given

Quadratic equation is

x^2-x-2=3\\x^2-x-5=0

Roots of the quadratic equation ax^2+bx+c=0 are

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\

So, for the given equation roots are

x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79

5 0
3 years ago
To make a greeting card, Bryce used 1/8 sheet of red paper, 3/8 sheet of green paper, and 7/8 sheet of white paper. How many she
Mashutka [201]
11/8 or 1 3/8 or 1.375
6 0
3 years ago
How many 1/2 inch cubes can fit in a rectangular prisim with length of 2 height of 3/2 and width of 1.
Mrac [35]

Answer:

X=6

Step-by-step explanation:

From the question we are told that

Length l=2

Height h=3/2

Width w=1

Generally the equation for Volume of the Rectangular prism is mathematically given by

 v=l*h*w

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 v=3m^3

Therefore the number of half 1/2 inch cube X in v is

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3 0
3 years ago
What happens when you reflect an object over intersecting line( combination of reflection)?
bazaltina [42]

The result concluded is equivalent to a single rotation transformation of the original object.

<h3>Explanation of how reflection across axis works?</h3>

When a graph is reflected along an axis, say x-axis, then that leads the graph to go just on the opposite side of the axis as if we're seeing it in a mirror.

The Compositions of Reflections Over Intersecting Lines states that if we perform a composition of two reflections over two lines that intersect.

The result concluded is equivalent to a single rotation transformation of the original object.

Learn more about reflection;

brainly.com/question/15487308

#SPJ2

7 0
2 years ago
Read 2 more answers
He values in the table represent a linear function. How does the value of y change in relation to a change in the value of x?
Ivahew [28]

Answer:

a

Step-by-step explanation:

because I have did this at school

7 0
3 years ago
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