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seraphim [82]
3 years ago
5

Seven friends went out to lunch. The meal subtotal was $91.22, including tax. The restaurant has a policy that for parties of si

x or more, 18% tip is automatically added in. What is the total cost of the meal, including tip?
Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

$ 74.80

Step-by-step explanation:

The subtotal cost of the meal was $91.22  including tax.

The 18% tip is added for six or more.

The tip added should reduce the meal subtotal by 18 %

Reduce $91.22 by 18%  to get ;

82/100 * 91.22 = $ 74.80

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Niki makes the same payment every two months to pay off his $61,600 loan. The loan has an interest rate of 9.84%, compounded eve
Alenkasestr [34]
The question is an annuity question with the present value of the annuity given.
The present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt) / (r/t) where PV = $61,600; r = interest rate = 9.84% = 0.0984; t = number of payments in a year = 6; n = number of years = 11 years and P is the periodic payment.
61600 = P(1 - (1 + 0.0984/6)^-(11 x 6)) / (0.0984 / 6)
61600 = P(1 - (1 + 0.0164)^-66) / 0.0164
61600 x 0.0164 = P(1 - (1.0164)^-66)
1010.24 = P(1 - 0.341769) = 0.658231P
P = 1010.24 / 0.658231 = 1534.78
Thus, Niki pays $1,534.78 every two months for eleven years.
The total payment made by Niki = 11 x 6 x 1,534.78 = $101,295.48
Therefore, interest paid by Niki = $101,295.48 - $61,600 = $39,695.48
8 0
3 years ago
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The graph of the function f(x) = (x + 6)(x + 2) is shown.
ioda

Answer:

The axis of symmetry is x = -4

The function is negative over (-6, -2)

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3 years ago
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Solving equations -3x+7=28?
AURORKA [14]

Answer:

x = - 7

Step-by-step explanation:

- 3x + 7 = 28

- 3x + 7 - 7 = 28 - 7

- 3x = 21

- 3x/3 = 21/3

- x = 7

x = - 7

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Given an exponential function for compounding interest, A(x) = P(.91)^x, what is the rate of change?
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The confirmed correct answer is -9%. Trust me.

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3 years ago
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What is the value of c so that -12 and 12 are both solutions of x^2-c=108? ​
murzikaleks [220]

Answer:

c=36

Step-by-step explanation:

  1. Because x^2-c=108 can be rewritten as x^2-c-108=0, finding the value of c so that x=(+-)12 solves this equation it means to find the value of c so that (+-)12^2-c-108=0.
  2. Because 12^2=(-12)^2=144, we must find c so that 144-c-108=0.
  3. Because 144-108=36, c=36.
  4. To check, replace c=36 in the initial equation, and check  it is a solution for x=(+-)12.
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