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romanna [79]
2 years ago
15

A couple plans to save for their child's college education. What principal must be deposited by the parents when their child is

born in order to have $42,000 when the child reaches the age of 18? Assume the money earns 9% interest, compounded quarterly. (Round your answer to two decimal places.)
Mathematics
1 answer:
Ede4ka [16]2 years ago
6 0

Answer:

The parents must deposit $9612.75 when their child is born.

Step-by-step explanation:

Hope this helps!

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Convert the following repeating decimals to
adoni [48]
16/99

8/9

2/9

do the last three have a decimal in the start?
3 0
2 years ago
What is the radian measure of a 150° angle?
jolli1 [7]
Well, since we know that in π radians there are 180°, then how many radians in 150°?

\bf \begin{array}{ccll}
radians&de grees\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\pi &180\\
x&150
\end{array}\implies \cfrac{\pi }{x}=\cfrac{180}{150}\implies \cfrac{\pi \cdot 150}{180}\implies \stackrel{simplified}{\cfrac{5\pi }{6}}
8 0
3 years ago
Need help + explanation!! ^_^
Paha777 [63]
780, or C, is correct.  Since 9.75 is 1/80th of the actual measurement, we can set up an equation like this:

9.75 = 1/80x

Then multiply each side by 80:

780 = x

The actual building's height is 780 ft.

We can check this answer by plugging in 780 for x in the original equation:

9.75 = 1/80(780)

9.75 = 9.75

Check! <span>✓</span>
3 0
3 years ago
The Versatech Corporation has decided to produce three new products. Five branch plants now have excess production capacity. The
RSB [31]

Answer: provided in the explanation segment

Step-by-step explanation:

here i will give a step by step analysis of the question;

A: Optimization Formulation

given Xij = X no. of units of product i manufactured in Plant j, where i = 1,2,3 and J = 1,2,3,4,5

Objective function: Minimize manufacturing cost (Z)

Z = 31 X11 + 29 X12 + 32X13 + 28X14 + 29 X15 + 45 X21 + 41 X22 + 46X23 + 42X24 + 43 X25 + 38 X31 + 35 X32 + 40X33

s.t

X11 + X12 + X13 + X14 + X15 = 600

X21 + X22 + X23 + X24 + X25 = 1000

X31 + X32 + X33 = 800

X11 + X21 + X31 <= 400

X12 + X22 + X32 <= 600

X13 + X23 + X33 <= 400

X14 + X24 ​​​​​​ <= 600

X15 + X25 <= 1000

Xij >= 0 for all i,j

B:

Yes, we can formulate this problem as a transportation problem because in transportation problem we need to match the supply of source to demand of destination. Here we can assume that the supply of source is nothing but the manufacturing capability of plant and demand of destination is similar to the demand of products.

cheers i hope this helps!!

3 0
3 years ago
In circle D with m \angle CDE= 122m∠CDE=122 and CD=6CD=6 units, find the length of arc CE. Round to the nearest hundredth.
antoniya [11.8K]

Answer:

12.78 units

Step-by-step explanation:

The formula for arc length =

2πr × θ/360

From the question:

θ = 122°

r = 6 units

Therefore, the arc length =

2 × π × 6 × (122/360)

= 12.775810125 units

Approximately to the nearest hundredth = 12.78 units

Therefore, the length of arc CE is 12.78 units

3 0
2 years ago
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