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NikAS [45]
3 years ago
15

An investor has ​$80,000 to invest in a CD and a mutual fund. The CD yields 8​% and the mutual fund yields 6​%. The mutual fund

requires a minimum investment of ​$9,000​, and the investor requires that at least twice as much should be invested in CDs as in the mutual fund. How much should be invested in CDs and how much in the mutual fund to maximize the​ return? What is the maximum​ return?
Mathematics
1 answer:
zhenek [66]3 years ago
4 0

Answer:

  • mutual fund: $9000
  • CDs: $71000
  • return: $6220, an average of 7.775%

Step-by-step explanation:

Since the mutual fund is the lower yield vehicle, only the minimum should be invested there.

The investments and returns should be ...

  mutual fund: $9000, return = 6% × $9000 = $540

  CD: $71000, return = 8% × $71000 = $5680

The maximum return is ...

  $540 +5680 = $6220

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Answer:

Length = 16 feet.

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Step-by-step explanation:

There is a rectangular prism boiler room. 112 square feet is the floor area of the room.

Let the length of the room is L feet and width is W feet.

So, LW = 112 ...... (1)

Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get  

(2 + 2W)W = 112

⇒ 2w + 2w² = 112

⇒ W² + W - 56 = 0

⇒ (W +8)(W - 7) = 0

⇒ W = 7 feet. {Neglecting the negative root as W can not be negative}

Hence, from equation (2) we get L = 2W + 2 = 16 feet.

Now, 1 foot more than the width is the height H.

Hence, H = 7 + 1 = 8 feet.

Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)

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3 years ago
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3 years ago
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Or you can use 
y=Ae^{kt}
A is equal to 45 million
To find the rate, k, we can plug in:
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