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3 years ago

Lamar deposited $2,008 in a savings account with simple interest. Six months later, he had

Mathematics

1 answer:

Alex17521 [72]3 years ago

8 0

Answer:

33%

Step-by-step explanation:

RATE = S.I*100/R*T

SI= 110.44 bucks

Principal=2008 bucks

Time=6 months

So, RATE= 110.44*100

---------------

2008*6

=33%, answer.

Thank You

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Two persons start running simultaneously from a certain point, one towards south and another towards east. After 2 hours, the di

Volgvan

The Pythagorean theorem is sometimes known as Pythagoras' theorem. The speed of the faster person is 40 kmph.

<h3>What is Pythagoras' theorem?</h3>

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

Let the speed of one person be represented by x, then the speed of the other person, if the speed of the second person is 75% of the first.

Speed of first-person = x
Speed of second-person = 75% of Speed of first-person = 0.75x

Now, the distance covered by two persons in 2 hours is,

Distance covered by the first-person = x × 2 = 2x
Distance covered by the second-person = 0.75x × 2 = 1.5x

Since one person runs towards the south and another towards the east. Therefore, will form a 90° angle between their directions.

Now, the distance between the two after two hours is 100 km, therefore, we can write,

(2x)² + (1.5x)² = 100²

4x² + 2.25x² = 10000

6.25x² = 10000

x² = 10000/6.25

x² = 1600

x = √1600

x = 40

Hence, the speed of the faster person is 40 kmph.

Learn more about Pythagoras' Theorem here:

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1 year ago

Which graph below represents a functional relationship? A. 10 10 8 8 6 6 4 2 2 X 10864 6 8 10 10 8 6 4 4 6 8 10 -21 4 -61 -8 -8

Anestetic [448]

Answer:

Graph (C)

Step-by-step explanation:

To find whether the graph\table represents a relationship or a function we have to analyze the input-output values given.

Graph A.

In this graph for every input value (x-value) there are two output values (y-values).

For x = -2, y = -2, 2

So the graph doesn't represent a function.

Graph B.

For every x value there are two y-values

For x = -5, y = -3, 3

So the graph doesn't represent a function.

Graph C.

For every input value there is a different y-value.

Therefore, graph represents a function.

Graph D.

In this graph for x = 3, y = 1, 2, 3, 4

For one value of x, there are four values of y.

Therefore, graph doesn't show the relationship.

4 0

3 years ago

Help please i need this done soon!! tysm!!

olga nikolaevna [1]

Answer:

Step-by-step explanation:

Opposite Angles are supplementary in cyclic quadratlerials.

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3 years ago

Simplify the expression: 42 + 8 ÷ 2.

igor_vitrenko [27]

Your final answer is 25

4 0

2 years ago

Graph the equation F(x)=(1/3)^x

scoray [572]

The value of a=9,b=3 and c=1

Step-by-step explanation:

The graph shown is for function f(x)

The given function is f(x)= $(\frac{1}{3}) ^{x}$

Table says,

X Y

-2 a

1 b

0 c

1 (1/3)

2 (1/9)

To find value of a:

From table, for output value a, input value, x=(-2)

we can write f(-2)=a

Therefore,

f(x)= $(\frac{1}{3}) ^{x}$

f(-2)= $(\frac{1}{3}) ^{(-2)}$

a= $(\frac{1}{3^{(-2)}})$

a= $3^{(2)}$

a=9

To find value of b:

From table, for output value a, input value, x=(-1)

we can write f(-1)=b

Therefore,

f(x)= $(\frac{1}{3}) ^{x}$

f(-1)= $(\frac{1}{3}) ^{(-1)}$

b= $(\frac{1}{3^{(-1)}})$

b= $3^{(1)}$

b=3

To find value of c:

From table, for output value a, input value, x=(0)

we can write f(0)=c

Therefore,

f(x)= $(\frac{1}{3}) ^{x}$

f(0)= $(\frac{1}{3}) ^{(0)}$

c= $(\frac{1}{3^{(0)}})$

c=1

5 0

2 years ago