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pentagon [3]
1 year ago
13

Melissa and Joey enjoyed dinner at a restaurant. They paid the waiter $100.50 plus a 20% tip. How much did each person pay if th

ey split the total bill in half?
Mathematics
1 answer:
BigorU [14]1 year ago
7 0

Each person should pay if the total bill should split is $60.30.

Given that,

  • The two-person paid the waiter $100.50.
  • Also,  there is a 20% tip.

Based on the above information,

The total amount paid including the tip is

= $100.50 + 20% of $100.50

= $120.60

Now the above amount should be split into 2 persons so it should be $60.30.

Therefore we can conclude that each person should pay if the total bill should split is $60.30.

Learn more: brainly.com/question/19877146

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Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of
nikklg [1K]

Answer:

a.  5 + 2i, 13 + 2i, 29 + 2i

Step-by-step explanation:

We'll use the formula  f(z) = 2z + (3 - 2i)  for each iteration. The output of the first iteration will be come the input of the second iteration, and so on.

So, we start with z0 = 1 + 2i and we plug that into the base equation:

z0 = 1 + 2i ==> f(z) = 2(1 + 2i) + 3 - 2i = 2 + 4i + 3 - 2i = 5 + 2i

z1 = 5 + 2i ==> f(z) = 2(5 + 2i) + 3 - 2i = 10 + 4i + 3 - 2i = 13 + 2i

z2 = 13 + 2i ==> f(z) = 2(13 + 2i) + 3 - 2i = 26 + 4i  + 3 - 2i = 29 + 2i

z3 = 29 + 2i

8 0
1 year ago
Read 2 more answers
The value of good wine increases with age. Thus, if you are a wine dealer, you have the problem of deciding whether to sell your
Katyanochek1 [597]

Answer: 64 years

Step-by-step explanation:

Let assume the dealer sold the bottle now for $P, then invested that money at 5% interest. The return would be:

R1 = P(1.05)^t,

This means that after t years, the dealer would have the total amount of:

$P×1.05^t.

If the dealer prefer to wait for t years from now to sell the bottle of wine, then he will get the return of:

R2 = $P(1 + 20).

The value of t which will make both returns equal, will be;

R1 = R2.

P×1.05^t = P(1+20)

P will cancel out

1.05^t = 21

Log both sides

Log1.05^t = Log21

tLog1.05 = Log21

t = Log21/Log1.05

t = 64 years

The best time to sell the wine is therefore 64years from now.

7 0
2 years ago
Howmet Corporation needs $200,000 in 5 years.
Bogdan [553]
:)
The formula of the future value of annuity ordinary is
Fv=pmt [(1+r/k)^(kn)-1)÷(r/n)]
So we need to solve for pmt
Pmt=fv÷[(1+r/k)^(kn)-1)÷(r/n)]
Pmt=200,000÷(((1+0.10÷4)^(4×5)
−1)÷(0.10÷4))=7,829.43...answer

Hope it helps
3 0
2 years ago
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0=2x2+3x-8?
Basile [38]

Answer:

Step-by-step explanation:

The given quadratic equation is

2x^2+3x-8 = 0

To find the roots of the equation. We will apply the general formula for quadratic equations

x = -b ± √b^2 - 4ac]/2a

from the equation,

a = 2

b = 3

c = -8

It becomes

x = [- 3 ± √3^2 - 4(2 × -8)]/2×2

x = - 3 ± √9 - 4(- 16)]/2×2

x = [- 3 ± √9 + 64]/2×2

x = [- 3 ± √73]/4

x = [- 3 ± 8.544]/4

x = (-3 + 8.544) /4 or x = (-3 - 8.544) / 4

x = 5.544/4 or - 11.544/4

x = 1.386 or x = - 2.886

The positive solution is 1.39 rounded up to the nearest hundredth

8 0
2 years ago
Read 2 more answers
while still in the hospital, the doctor writes an order for an antibiotic at 400mg / kg / day. You are nervous now because the n
bezimeni [28]
123 lb * (0.4536 kg/lb) * 300mg/(kg · day) = (123 * 0.4536 * 300) mg/day = 16737.84 mg/day 16737.84 mg/day * 1g/(1000mg) = 16.73784 g/day
8 0
2 years ago
Read 2 more answers
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