First question:
interest rate is 5% annually. After 4 years relative value of interest will be 1.05^4
Now we multiply that with starting funds and get
4000* 1.05^4 = 4862.03
Second question:
Because interest is 8% semiannually that means that after 35 years relative value of interest will be 1.04^(35*2)
6000*1.04^70 = 93,429.71
Third question:
after first year tractor's value will be 0.86*15450. After 3 years its value will be:
(0.86)^3*15,450 = 9,827.07
Answer:
a) The maximum amount of water the aquarium can hold is 1728 in³.
b) The cover has to be 624 in² big.
Step-by-step explanation:
a) The maximum volume of water that the aquarium can have is the same as the volume of the aquarium:
V=L×W×H=18 in × 8 in × 12 in= 1728 in³
b) The protective covering is used on the four walls of the aquarium. We have to find the areas of the four walls:
One of them is given by the multiplication of the width and the height:
A₁= W×H= 8 in × 12 in=96 in²
The other area is given by the multiplication of the length and the height:
A₂= L×H= 18 in × 12 in= 216 in²
As the fish aquarium is rectangular the area of the walls is given by:
=2×96 in²+2×216 in²=624 in²
Answer:
-1, -3, 2, 5, 6
Step-by-step explanation:
The numbers in the | | mean that it would be positive. Instead of being |-5|, it would be positive 5.
The given complex number is ⇒ z = a + b i
The absolute value of z = √( a² + b² ) = 3.28
So, we will check which of the options will give 3.28
<span>( A) IF ⇒⇒ a=1.5 and b=1.7
</span>
<span>∴ √( a² + b² ) = √( 1.5² + 1.7²) = √5.14 ≈ 2.27
</span>
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<span>(B) IF ⇒⇒ a=1.5 and b=3.3
</span>
<span>∴ √( a² + b² ) = √(1.5² + 3.3²) = √13.14 ≈ 3.62
</span>
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<span>(C) IF ⇒⇒ a=1.7 and b=2.8
</span>
<span>∴ √( a² + b² ) = √(1.7² + 2.8²) = √10.73 ≈ 3.28
</span>
====================================
<span>(D) IF ⇒⇒ a=2.8 and b=3.3
</span>
∴ √( a² + b² ) = √(2.8² + 3.3²) = √18.73 ≈ 4.33
=====================================
So, the correct answer is option (C) <span>a=1.7,b=2.8</span>
