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Fiesta28 [93]
3 years ago
5

Please help me on this

Mathematics
1 answer:
REY [17]3 years ago
8 0

Answer:

21/100

Step-by-step explanation:

0.21 is out of 100 so you divide 0.21 by 100 which will give you 21 and so it is 21 out of 100.

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Kendrick Campbell purchased a $25,000 municipal bond at a quoted price of 93.456 the bond pays annual interest at a rate of 3.7%
Anastasy [175]
The interest is $925.
4 0
4 years ago
A man has n keys on a key ring, one of which opens the door to his apartment. Having celebrated a bit too much one evening, he r
schepotkina [342]

Answer:

The value is   P(3) =  \frac{1}{n}

Step-by-step explanation:

From the question we are told that

   The number of keys is  n

    The number of keys remaining after the first key is chosen is  n-1

    The probability that he gains entrance with the first key he selects is \frac{1}{n}

      Generally the probability that the first key does not open the door is

             p(F_1) = 1 - \frac{1}{n}  =  \frac{n-1}{n}

      Generally the number of keys remaining after the second key is chosen is  

         n-2

      Generally the probability that he gains entrance with the second key he selects is

        \frac{1}{n-1}

       Generally the probability that the second key does not opens the door is

        P(F_2) = 1-   \frac{1}{n-1} = \frac{n-2}{n-1}

   Generally the probability that he gains entrance with the third key he selects is

         \frac{1}{n-2}

Generally the probability that the door opens with the third key

        P(3) =  p(F_1)  * P(F_2)  *  \frac{1}{n-2}

=>       P(3) =  \frac{n-1}{n} *   \frac{n-2}{n-1} * \frac{n-2}{n-1}

=>        P(3) =  \frac{1}{n}

Note :  

      All the outcome of the events are independent

7 0
4 years ago
Luke brought 4 tires for his race car each of the 2 tires cost $12.40 more than each back tire if all 4 tires cost $100 how much
Studentka2010 [4]

If each tire in the front of the car cost $12.40 more than the rear tires, then the total would be $24.80. And because we say that each tire for Luke's race tire is going to cost him $100 each, he would be paying $224.80 for the two front tires, while including both the cost of each tire and the additional 12.40.

Equation: 12.40(2) + 100(2) = 224.80

8 0
3 years ago
Which equation is y = –3x2 – 12x – 2 rewritten in vertex form? y = –3(x 2)2 10 y = –3(x – 2)2 10 y = –3(x 2)2 – 14 y = –3(x – 2)
Whitepunk [10]

Considering the definition of vertex, the vertex form of y = –3x² – 12x – 2 is y=a(x+2)²+10 , where (-2,10) is the vertex of the parabola.

<h3>Vertex form</h3>

The function f(x) = ax²  + bx + c

with a, b, c real numbers and a ≠ 0, is a function  quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).

The quadratic function can be expressed by the vertex form of a quadratic equation: y=a(x−h)²+k , where (h,k)= vertex of the parabola.

The formula to find the value x of the vertex of a quadratic equation is x=\frac{-b}{2a}

To calculate the value of y of the vertex, it is necessary to find the numerical value of "x vertex" in the polynomial expression. This is:

(h,k)=  (\frac{-b}{2a}, f(\frac{-b}{2a}))

<h3>Vertex form of y = –3x² – 12x – 2</h3>

In this case:

  • a= -3
  • b= -12
  • c= -2

Replacing in the formula to find the value x of the vertex of a quadratic equation, you get:

x=\frac{-(-12)}{2(-3)}

Solving:

x=\frac{12}{-6}

<u><em>x= -2</em></u>

The value of y of the vertex can be calculated as:

y = –3×(-2)² – 12×(-2) – 2

Solving:

y= –3×4 – 12×(-2) – 2

y= –12 +24 – 2

<u><em>y=10</em></u>

Finally, the vertex form of y = –3x² – 12x – 2 is y=a(x+2)²+10 , where (-2,10) is the vertex of the parabola.

Learn more about vertex form of a cuadratic function:

brainly.com/question/21724943

brainly.com/question/13773803

brainly.com/question/15280010

#SPJ4

8 0
3 years ago
In what time will Rs. 6400 amount to Rs. 7152 at the rate of 6% p.a?​
allochka39001 [22]

Amount of Interest=7152-6400=752=I

  • Principal=6400=P
  • Rate of interest=6%=R
  • Time=T=?

We know

\boxed{\sf I=\dfrac{PRT}{100}}

\\ \sf\longmapsto T=\dfrac{PR}{100I}

\\ \sf\longmapsto T=\dfrac{6400(6)}{100(752)}

\\ \sf\longmapsto T=\dfrac{38400}{75200}

\\ \sf\longmapsto T\approx 0.5year

\\ \sf\longmapsto T\approx 6months

4 0
3 years ago
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