Tim has a friend, John, across the world he wants to transfer 1000$ to. However, his bank charges a 0.3% fee on the value of every transfer. Tim wants John to receive 1000$ after the fees, which means that Tim needs to send more than 1000$ for him to cover the fees the bank charges. How much should Tim send so that John receives 1000$ in his account after fees?

Answer:

The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta= b^{2} - 4ac[/tex]

Quadratic equation:

[tex]ax^2 + bx + c = 0[/tex]

The rock reaches a maximum height of 676 feet above the ground after 1.5 seconds.

This means that:

[tex]-\frac{b}{2a} = 1.5[/tex]

[tex]y_{v} = -\frac{b^2-4ac}{4a} = 676[/tex]

If the rock hits the ground below the ledge 8 seconds after it is thrown

This means that:

[tex]64a + 8b + c = 0[/tex]

Relation of b and a:

[tex]-\frac{b}{2a} = 1.5[/tex]

This means that:

[tex]b = -3a[/tex]

Relationship of c and a:

[tex]64a + 8b + c = 0[/tex]

[tex]64a - 24a + c = 0[/tex]

[tex]c = -40a[/tex]

Finding a:

[tex]y_{v} = -\frac{(-3a)^2-4a(-40a)}{4a} = 676[/tex]

[tex]9a^2+160a = -2704a[/tex]

[tex]9a^2 + 2864a = 0[/tex]

[tex]a(9a + 2864) = 0[/tex]

Since it is a quadratic equation, a cannot be 0.

[tex]9a + 2864 = 0[/tex]

[tex]9a = -2864[/tex]

[tex]a = -\frac{2864}{9}[/tex]

[tex]a = -318.22[/tex]

Finding b and c:

[tex]b = -3a = -3(-318.22) = 954.67[/tex]

[tex]c = -40a = -40(-318.22) = 12728.89[/tex]

The quadratic equation is given by:

[tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

The quadratic equation is [tex]h(t) = -318.22t^2 + 954.67t + 12728.89[/tex]

Answer:

a chance that it will not need to be replaced

Step-by-step explanation:

Answer:

2 times became that's correct

fifty five thousand 55,000

Answer:

Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

good luck, i hope this helps :)

Answer:

D)1/3 ?

Step-by-step explanation:

Maybe 1/3

Do some research, I guess it's D).

I hope that helps (:

1. The entire fraction is negative if the numerator or denominator are negative.

if both parts of the fraction were negative, the entire fraction would be positive (- / - = +)

2. Of course, although most teachers ask you to put the negative sign in the fraction as a whole (before the fraction line) or in the numerator. never leave a fraction with two signs. in this case, if it has two signs and they are different, the whole fraction is NEGATIVE

3) No. the whole fraction is POSITIVE only if both the numerator and the denominator have the same sign, + + or - -

Answer:

Step-by-step explanation:

[tex]\frac{3}{7}=\frac{3*3}{7*3}=\frac{9}{21}\\\\\frac{1}{3}=\frac{1*7}{3*7}=\frac{7}{21}[/tex]

Answer:

3/4 + 3/5 = 1 7/20

Step-by-step explanation:

5 x 4 = 20

3/4 = 15/20

3/5 = 12/20

15/20 + 12/20 = 27/20 = 1 7/20

Answer: 1 7/20 (one and seven-twentieths)

Step-by-step explanation:

1) 3/4 = 15/20 and 3/5 = 12/20

2) 15/20 + 12/20 = 27/20

3) 27/20 = 1 7/20

Good Luck!

Answer:

Step-by-step explanation:

Answer:

851,968

Step-by-step explanation:

26*8*8*8*8*8= 851,968

From the combination of codes, 851,968 employee ID codes can be generated.

Given,
Employee ID codes can be generated.
Each code will have one letter followed by five digits. The digits 2 and 6 will not be used. So, there are 26 letters and 8 digits that will be used.
The number of employee codes to be determined.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Required number of  codes = 26 * 8 * 8 * 8 * 8 * 8
                                         = 851,968

Thus, from the combination of codes, 851,968 employee ID codes can be generated.

Learn more about permutations and combinations here: https://brainly.com/question/2295036
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Answer:   it is 1.25

hope i helped

Answer:

1.25

Step-by-step explanation:

yeah

Answer:

x=103.9536≈104 feet

Step-by-step explanation:

Answer:

1. (5y) = 35

2. (6y) = 1

3. (4y) = 2

4. (11y) = 15

5. 18, 24, 42, 60

The number of miles Henry rides his bike in 10 days is 60miles

Step-by-step explanation:

Answer: y= -6x -7

Step-by-step explanation:

Point slope formula : y-y1=m(x-x1)

y- (-1)=-6(x- (-1))

y+1= -6(x+1)

y+1= -6x-6

y+1-1=-6x-6-1

y=-6x-7

Standard from 6x+y=7

Answer:

4/7

Step-by-step explanation:

6-x/x+5 let us take x=2

6-2/2+5=4/7

Answer:

(-2,5)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

12×0.75=9

Answer:

288pi

904.3

1648.5

33493.3

Step-by-step explanation:

1.

volume = 6^2 * 8 * pi = 288pi

= 904.32

2.

5^2*21*3.14 = 1648.5

3.

4/3 * 20^3 * 3.14 = 33493.3

Answer:

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

24 - 3(5)

24 - 15

9

good luck, i hope this helps :)

Answer:

it's 10 and 5/8

Step-by-step explanation:

I hope this has helped you

The solution of expression [tex]17 \times \dfrac{5}{8}[/tex] in the form of mixed number would be  [tex]10 \dfrac{5}{8}[/tex].

Used the concept of multiplication that states,

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that the expression to solve,

[tex]17 \times \dfrac{5}{8}[/tex]

Now multiply separately with the numbers given,

[tex]17 \times \dfrac{5}{8}[/tex]

[tex]\dfrac{85}{8}[/tex]

It can be written as,

[tex]10 \dfrac{5}{8}[/tex]

Therefore, the mixed form of solution is [tex]10 \dfrac{5}{8}[/tex].

To learn more about multiplication visit:

https://brainly.com/question/10873737

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Answer is Option B) 50

9(6)-4

54-4

50

Answer:

Continuous data

Step-by-step explanation:

Given

[tex]d = 45t[/tex]

Required

Discrete or Continuous?

From the question, we understand that t represents time in hours. This is a continuous data.

When multiplied by 45 to give distance, the resulting data is also continuous.

Hence, [tex]d = 45t[/tex] is continuous

Answer:

d = 2.5t, continuous

Step-by-step explanation:

Just did it on Edge and got it right

Answer:

Step-by-step explanation:

6/9+x=7/10

x=7/10-6/9

when adding fractions both denominators must be equal, we’ll make them 90

x=(7/10)(9/9)-(6/9)(10/10)

x=63/90-60/90

x=3/90, the greatest divisor of 3 and 90 is 3 so divide both the numerator and denominator by 3

x=(3/3)/(90/3)

x=1/30

Answer:

-3.5,-3,-2 1/2,-2,2.5

Step-by-step explanation:

Least. Greatest

-3.5, -3, -2 1/2, -2, 2.5

Answer:

70°

Step-by-step explanation:

80° - x + 80° = 90° { being complementary angles }

160° - x = 90°

x = 180° - 90°

x = 70°

Hope it will help :)

Answer:

The answer is 3 1/2 inches!

Step-by-step explanation:

Answer:

Linear positive association