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Juli2301 [7.4K]
3 years ago
12

Principal, 2000​$​; Annual interest​ rate, ​5.5%; ​time, 4 years

Mathematics
2 answers:
Alinara [238K]3 years ago
5 0

Answer:

$440

Step-by-step explanation:

Interest=Principal × Rate × Time/100(Formula)

We have to find the Interest.

Interest = $2000× 5.5 × 4/100

100 Interest = 44000

Interest = 44000/100

Interest = $440(Answer)

Dima020 [189]3 years ago
3 0

simple interest

formula = PRT/100

P = 2000$

rate = 5.5%

time = 4 years

= 2000  x 5.5 x 4 / 100

= 440$

amount = S.I. + P

= 2000 + 440

= 2440

compound interest

formula for amount = P( 1 + r/100 )^n

= 2000( 1 + 5.5/100 )^4

= 2000 (100/100 + 5.5/100)^4

= 2000 ( 105.5/100 )^4

2000 x 105.5/100 x 105.5/100 x 105.5/100 x 105.5/100

= 2 x 105.5 x 105.5/10 x 105.5/100 x 105.5/100

= 211 x 105.5/10 x 105.5/100 x 105.5/100

= 2215.5  x 105.5/100 x 105.5/100

= 2,454.22

compound interest = A - P

= 2454.22 - 2000

= 454.22

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Answer:

There are 20 European Butterflies.

Step-by-step explanation:

To determine the number of European Butterflies in the park, knowing that there are 80 North American Butterflies there, and that the ratio of each species is 8: 5 for North American and South American butterflies, and 5: 2 for South American and European butterflies, it must be done the following logical reasoning:

Given that there are 8 North American butterflies for every 5 South American, and 5 South American for every 2 European, it could be said that there are 8 North American butterflies for every 2 European (8: 2).

Thus, if there were 80 North American butterflies, the number of European butterflies in the park would be 20.

6 0
3 years ago
The graphs of ​ f(x)=−32x+2 ​ and ​ g(x)=3x−10 ​ intersect at (2, −1)
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The solution of -32x+2=3x-10 is (2,-1)
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4 years ago
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A surveyor wants to find the distance from points A and B to an inaccessible point C. These three points form a triangle. Becaus
harkovskaia [24]

Answer:

Part a) AC=135.95\ m

Part b) BC=124.14\ m

The diagram in the attached figure

Step-by-step explanation:

step 1

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

m\angle A+m\angle B+m\angle C=180^o

substitute the given values

53^o+61^o+m\angle C=180^o

114^o+m\angle C=180^o

m\angle C=180^o-114^o

m\angle C=66^o

step 2

Find the distance AC

Applying the law of sines

\frac{AB}{sin(C)}=\frac{AC}{sin(B)}

see the attached figure to better understand the problem

substitute the given values

\frac{142}{sin(66^o)}=\frac{AC}{sin(61^o)}

AC=\frac{142}{sin(66^o)}(sin(61^o))

AC=135.95\ m ---> rounded to the nearest hundredth

step 3

Find the distance BC

Applying the law of sines

\frac{AB}{sin(C)}=\frac{BC}{sin(A)}

substitute the given values

\frac{142}{sin(66^o)}=\frac{BC}{sin(53^o)}

BC=\frac{142}{sin(66^o)}(sin(53^o))

BC=124.14\ m ---> rounded to the nearest hundredth

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