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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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The Brutus Gourmet Company produces delicious organic dog treats for canines with discriminating tastes. Management wants the bo
KiRa [710]

Answer:

Average range(R-bar) = Sum of the sample range for each sample/number of samples = (9+8+1+8+7) /5 = 33/5 = 6.6

Sample size = 8

For a sample size of 8 the factors for control limit for range (D3) = 0.136 (obtained from table of constraints for x-bar and R chart

LCL = R-bar × D3 = 6.6 × 0.136 = 0.90

Step-by-step explanation:

3 0
3 years ago
(If A(2, -3), B(3,-2) and point C divides the line segment AB in the ratio of 1: 2, find OC.)​
Anna007 [38]

Answer:

A(2, -3) and B(3, -2), o(0, 0) Let C(x, y)

Here c divide AB line in the ratio of 1:2

From the line intersection law, we get x=(m1×x2+m2×x1)/(m1+m2)

and y=(m1×y2+m2×y1)/(m1+m2)

where m1=1, m2=2, x1=2, x2=3, y1=-3, y2=-2;

so x=(3+4)/3

  or, x=7/3;

y=(-2-6)/3

 or, y=-8/3;

so, oc=√((0-7/3)²+(0-(-8/3))²)

oc=3.54

7 0
2 years ago
Blank divided by 6=0.2
mario62 [17]
Just do 6 x 0.2 to reverse the division
So the answer is 1.2

I think
4 0
3 years ago
What is the circumference, in centimeters, of the circle? Use 3.14 for π. Enter your answer in the box. (the diameter is 24cm)
gizmo_the_mogwai [7]

The circumference of the circle is 75.36 cm.

  • Step 1: Given data:

Diameter of the circle is 24 cm,

\pi = 3.14

  • Step 2: Formula used and calculation:

Circumference of the circle is 2\pi r.

So, Radius, r = 24/2 = 12 cm.

Now, Putting the value in the above formula, we get

2 × 3.14 ×12 = 3.14 × 24 = 75.36 cm.

Hence, the circumference of the circle is 75.36 cm.

Learn more about circumference of the circle, refer:

brainly.com/question/23964435

8 0
2 years ago
Could you please answer Number 2? This is for geometry
katrin [286]
Answer: 108 degrees

============================================================

Explanation:

Angle ABC is given to be 90 degrees. By the converse of Thales Theorem, we know that AC is a diameter of the circle. 
If we draw a line from A to C, it will pass through the center of the circle.

Therefore, arc AC is 180 degrees as this is half the distance around the circle.

minor arc AD = 72
minor arc CD = x
(minor arc AD) + (minor arc CD) = arc AC
72+x = 180
72+x-72 = 180-72
x = 108

minor arc CD is 108 degrees
7 0
3 years ago
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