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loris [4]
3 years ago
14

What is the interest rate if a principal of $700 earns $196.00 in interest in seven years?

Mathematics
1 answer:
solniwko [45]3 years ago
6 0

Answer:

4%

Step-by-step explanation:

To solve this problem we can use a modified version of the simple interest formula which is shown below:

r=\frac{I}{Pt}

<em>P = initial balance</em>

<em>I = interest</em>

<em>t = time</em>

<em />

Plug the values into the equation:

r=\frac{196}{(700)(7)}

r=.04

The last step is to convert 0.04 into a percent:

0.04(100) = 4

The interest rate is 4%.

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I have a frequency of 20.0 Hz, if this frequency travels through the air with a speed of 331 m/s, what is it's wavelength
Sveta_85 [38]

Answer:

16 m

Step-by-step explanation:

c=f×m

331=20m ( divide by 20 both side)

therefore m=16.55m

5 0
3 years ago
A graph has a constant of proportionality of 2.54. Let y represent centimeters and x represent inches. What is the unit rate of
Helga [31]

Answer: 2.54 is the rate of the given equation.

Step-by-step explanation:

Let x is the independent variable and y is the dependent variable.

Since, By the definition of proportionality,

y = k x

Where k is the constant of proportionality.

And, Here k = 2.54

Thus, the equation of line is,

y = 2.54 x

since, rate of the equation is the slope of the line.

And, the general equation of line

y = m x +c

Where, m is the slope of the line.

By comparing the equation of line y = 2.54 x  with this.

The slope of the line = 2.54

Therefore, 2.54 is the rate of the given equation.



3 0
3 years ago
What Numbers Go Into The Venn Diagram
antiseptic1488 [7]

Answer:

(a)The total number of outcomes where the sum is 9 or

    greater than 9 is  10

(b)Total number of outcomes where the sum is odd = 18

(c)Total number of outcomes where the  sum greater or equal to 9 and is

     also odd = 6

Step-by-step explanation:

Here, Sample Space = { Sum of the two digits when two dices are thrown together}

or,   S   =   {2,3,4,5,6,7,8,9,10,11,12}

(a)  The number of ordered pairs where sum is  9 or greater than 9

    = { sum is 9  ,  Sum is 10 ,  Sum is 11,   Sum is 12}

    = {(6,3)(3,6),(4,5)(5,4) ,   (5,5), (6,4),(4,6)  , (6,5)(5,6),   (6,6)}

Hence the total number of outcomes where the sum is 9 or

greater than 9 is  10

(b)  The number of ordered pairs where sum is odd.

    = { Sum is 3 ,  Sum is 5,   Sum is 7, Sum is 9, Sum is 11}

    = {(1,2)(2,1),   (4,1)(1,4),(2,3)(3,2) ,   (6,1), (1,6),(5,2),(2,5),(4,3)(3,4)  ,

        (6,3)(3,6), (4,5)(5,4),  (6,5),(5,6)}  = 18

Hence total number of outcomes where the sum is odd = 18

(c) Intersection point refers the outcomes which have sum greater or equal to 9 and is odd

Here, the possible outcomes are  = { Sum is 9 ,  Sum is 11}

                                            ={ (6,3)(3,6), (4,5)(5,4),  (6,5),(5,6)}  = 6

Hence total number of outcomes where the  sum greater or equal to 9 and is also odd = 6

6 0
3 years ago
Work out the total number of mobile phones sold in the 3 years​
svetlana [45]

Answer: your wuestion isn’t specific enough.

Step-by-step explanation:

6 0
3 years ago
Solve by factoring:<br><br> 5x^2 + 19x + 12 = 0
Mariulka [41]

When solving polynomial equations, first set the equation

equal to zero, then check for a Greatest Common Factor.

Since there is no greatest common factor, this will make life a

little bit more difficult because we will have to factor the trinomial.

First, find all possible factors for constant term.

I have listed these in red below.

Make sure to reverse the factors since in each binomial,

the first term is different so we need to reverse the factors.

The factors of 5x² will just be 5x and z.

After finding factors for the constant and the leading

coefficient for your trinomial, we can eliminate some factors.

If you have an odd coefficient on the middle term,

you can eliminate any pairs of even factors.

So the group I crossed out in purple below will be eliminated.

Another strategy is to use factors a little closer together.

So I would go with the 4 and 3 group.

Surely enough, our trinomial does factor with the 4 and 3.

Now set the factored trinomial equal to 0.

Then use zero product property and you have your answer.

5 0
3 years ago
Read 2 more answers
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