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scZoUnD [109]
2 years ago
6

Kala invested $8000 in a fund for 6 years and was paid simple interest. The total interest that she received on the investment w

as $2400. As a percentage, what was the annual interest rate of her investment?
Mathematics
2 answers:
butalik [34]2 years ago
6 0

Answer:

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  • jsbdidbd
  • uwbjdjdjd
  • jsuevels9ehe
Artyom0805 [142]2 years ago
6 0

Answer:

33.3%

Step-by-step explanation:

8000 divided by 2400 is 3.33

3.33 x 10 is 33.3 to make it out of 100%

so she gets one third of her investment

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A park has a 3m tall tetherball pole, and a 6.8m tall flagpole. The lengths of their shadows are proportional to their heights.
vlada-n [284]

Complete question is;

A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.

Which of the following could be the lengths of the shadows?

Choose 2 answers from the options attached.

Answer:

Options B & D

Step-by-step explanation:

From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.

Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;

3/x = 6.8/y

Let's make y the subject.

y = 6.8x/3

Looking at the options;

Option A: When x = 1.35 m, we have;

y = (6.8 × 1.35)/3 = 3.06 m

For Option B:

When x = 1.8 m,

y= (6.8 × 1.8)/3 = 4.08 m

For Option C:

When x= 3.75 m,

y = (6.8 × 3.75)/3 = 8.5 m

For option D:

When x = 0.6

y = (6.8 × 0.6)/3 = 1.36 m

For option E;

When x = 2,

y = (6.8 × 2)/3 = 4.533 m

From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D

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2 years ago
If c= what is the value of a?
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Answer:

a= 17√3/ 2 or a≈14.72

Step-by-step explanation:

c = 17 and is the side opposite to the angle C

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a= BC because is the side opposite to angle A

sin 60° = opp./hyp = BC / AB = BC/17

sin 60° = BC /17  multiply both sides by 17

BC = 17* sin 60 = 17√3/2 ≈14.72

3 0
2 years ago
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