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attashe74 [19]
3 years ago
5

Roscoe's family has dinner at a restaurant. The total cost is $103.80. This includes 5% tax and 15% tip on the ore tax amount. H

ow much was the bill before tax and tip?
Mathematics
1 answer:
Anni [7]3 years ago
5 0

Answer:

  $86.50

Step-by-step explanation:

Let b represent the bill before tax and tip. Then the total is ...

  b + 0.05b + 0.15b = 103.80

  b(1.20) = 103.80 . . . . . . . . . . collect terms

  b = 103.80/1.20 = 86.50 . . . divide by the coefficient of b

The bill before tax and tip was $86.50.

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What initial investment must be made to accumulate $60000 in 17 years if the money is invested in a mutual fund that pays 12% an
mars1129 [50]

$7881.18

Step-by-step explanation:

   Let the initial Investment be P_{0}. The Interest is compounded on a monthly basis at 12% annual interest rate. After 17 years, the Investment amounts to $60,000.

   As the annual interest rate is 12%, the monthly interest rate is 1%.

Since this is a compound interest problem, the total amount can be modeled as follows: P(t)=P_{0}(1+\frac{i}{100})^{t}

Here i is the interest rate, i.e 1, and t is the number of time periods, i.e 17\textrm{ years x }12\frac{\textrm{months}}{\textrm{year}}= 204\textrm{ months}

60,000=P_{0}\textrm{ x }(\frac{101}{100})^{204}

P_{0}=7881.18

∴ Initial Investment = $7881.18

4 0
2 years ago
Simplify 4(x+2)-3(7+y)
strojnjashka [21]

Use distributive property <em>a(b + c) = ab + ac</em>

4(x + 2) - 3(7 + y) = (4)(x) + (4)(2) + (-3)(7) + (-3)(y)

= 4x + 8 - 21 - 3y = 4x - 3y - 13

4 0
3 years ago
94.
attashe74 [19]

Answer:

are you cheating again?

Step-by-step explanation:

cuz I wanna know the answer too

5 0
2 years ago
A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo. For every 12-foot leap of
Rasek [7]

Answer:

30 leaps

Step-by-step explanation:

Equation of rabbit:

y=7x+150

Equation of kangaroo:

y=12x

To solve the system of equations, use substitution

12x=7x+150

5x=150

x=30

please mark brainliest!

3 0
2 years ago
A firm employing 100 workers has an average absenteeism of 4%. on a given day what is the probability of no workers being absent
Serggg [28]

Answer:

25

Step-by-step explanation:

3 0
3 years ago
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