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Orlov [11]
4 years ago
11

Find the compound interest and the total amount after 4 years and 6 months if the interest is compounded annually

Mathematics
1 answer:
miv72 [106K]4 years ago
3 0

Answer:

Compound Interest,I- I=P[(1+I)^{4.5}-1]

Total Amount, A- A=P(1+i)^{4.5}

Step-by-step explanation:

Compound interest is the difference between the initial amount invested at time t=0and the final amount of the investment at time t.

-Let the initial amount invested be P, the annual rate be i and A be the final amount of the investment.

-Let I be the compound interest earned.

-Given that the investment term n=4yrs 6 months, the compound interest is calculated as;

A=P(1+i)^n\\\\I=A-P\\\\\# n=4.5,P=P, i=i\\\\\therefore I=P(1+i)^{4.5}-P\\\\=P[(1+I)^{4.5}-1]\\\\I=P[(1+I)^{4.5}-1]

Hence, the compound interest after 4 1/2 years is I=P[(1+I)^{4.5}-1]

#The total amount after the same period is A=P(1+i)^{4.5}

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Multiply my number by five and add 13
yKpoI14uk [10]

let "my number" = x

Multiply x by 5: 5(x)

and add 13: + 13

your expression would look like:

5x + 13

hope this helps

4 0
4 years ago
Solve the equation<br> 1/8 + c = 4/5
Alekssandra [29.7K]

Answer:

c=27/40

in decimal form 0.675

Step-by-step explanation:

1/8+c=4/5

c=4/5

 -1/8

c=27/40

3 0
3 years ago
The perimeter of a triangle is 7272 cm. the longest side is 66 cm less than the sum of the other two sides. twice the shortest s
VashaNatasha [74]
Suppose the three sides are a, b, and c, with c being the longest, a being the shortest
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second equation: 2a=c-55=> c=2a+55
plug c=2a+55 into the first equation: 2a+55= a+b-66 => b=a+121
a+b+c=a+(a+121)+(2a+55)=7272 =>4a+176=7272 =>a=1774
a=1774, b=1895, c=3603


4 0
3 years ago
In geometry, how do defined terms and undefined terms relate to each other?
mart [117]
In geometry, definitions are formed using known words or terms to describe a new word. There are three words in geometry that are not formally defined. These three undefined terms are point, line and plane. 

<span>POINT (an undefined term) </span>
<span>In geometry, a point has no dimension (actual size). Even though we represent a point with a dot, the point has no length, width, or thickness. A point is usually named with a capital letter. In the coordinate plane, a point is named by an ordered pair, (x,y). </span>

<span>LINE (an undefined term) </span>
<span>In geometry, a line has no thickness but its length extends in one dimension and goes on forever in both directions. A line is depicted to be a straight line with two arrowheads indicating that the line extends without end in two directions. A line is named by a single lowercase written letter or by two points on the line with an arrow drawn above them. </span>

<span>PLANE (an undefined term) </span>
<span>In geometry, a plane has no thickness but extends indefinitely in all directions. Planes are usually represented by a shape that looks like a tabletop or wall. Even though the diagram of a plane has edges, you must remember that the plane has no boundaries. A plane is named by a single letter (plane m) or by three non-collinear points (plane ABC). </span>

<span>Undefined terms can be combined to define other terms. Noncollinear points, for example, are points that do not lie on the same line. A line segment is the portion of a line that includes two particular points and all points that lie between them, while a ray is the portion of a line that includes a particular point, called the end point, and all points extending infinitely to one side of the end point. </span>

<span>Defined terms can be combined with each other and with undefined terms to define still more terms. An angle, for example, is a combination of two different rays or line segments that share a single end point. Similarly, a triangle is composed of three noncollinear points and the line segments that lie between them. </span>

<span>Everything else builds on these and adds more information to this base. Those added things include all the theorems and other "defined" terms like parallelogram or acute angle. </span>
8 0
3 years ago
Can someone help quick?
nadezda [96]

Answer:

50 players

Step-by-step explanation:

Let x be the amount of players last year and y be the amount of players this year then...

y=3x+2

y=152

We can solve this using substitution. Substitute 152 for y:

y=3x+2

152=3x+2

Subtract 2 from both sides (subtraction property of equality)

152-2=3x+2-2

150=3x

Divide both sides by 3 (division property of equality)

x=50

There were 50 players last year.

4 0
3 years ago
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