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Dovator [93]
3 years ago
10

Your lunch bill for Saturday after noon is $12.19. You leave a 20% tip and are charged 8% sales tax. Your lunch bill for Sunday

afternoon is $13.23. You leave a 15% tip and are charged 7% sales tax. For which meal do you pay more?​
Mathematics
1 answer:
m_a_m_a [10]3 years ago
7 0

Answer:

You pay more for your lunch bill on Sunday

Step-by-step explanation:

You pay a total of $15.80 on Saturday and $16.27 on Sunday

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Evaluate the expression x^2 - y^2, if x = -3, and y= 2
Darina [25.2K]

\\ \rm\longmapsto x^2-y^2

\\ \rm\longmapsto (-3)^2-(2)^2

\\ \rm\longmapsto 9-4

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3 years ago
The world population is estimated to be 7.8 billion in 2020, and growing at an instantaneous rate of 1.05%. (a) Estimate the pop
REY [17]

Answer:

Population in 2100 is 17.99 billion.

Step-by-step explanation:

The population of the world in 2020  = 7.8 billion.

The growth rate = 1.05%

Now find the population after 2100. Use the below formula to find the population.

Population in 2100 = Population of 2020 (1 + growth rate)^n

Population in 2100 = 7.8 (1 + 0.0105)^80

Population in 2100 = 17.99 billions.

Now, find the growth rate in 2100.

dN/dt = [r N (K – N) ] / K

r = Malthusian parameter

K = carrying capacity.

Now divide both sides by K, now x = N/K then do the differential equation.

dx/dt = r x ( 1- x)

Now integrate, x(t) = 1/ [ 1 + (1/x – 1) c^-rt

From the first equation = dN/dt = (13 – 7.8) / 80 = (r × 7.8×(13 – 7.8) / 12

0.065 = (r × 7.8× 5.2) / 12

0.065 = r × 3.38

r = 1.92%

3 0
3 years ago
Suppose we want to build a rectangular storage container with open top whose volume is $$12 cubic meters. Assume that the cost o
Snezhnost [94]

Answer:265.25

Step-by-step explanation:

Given

Volume of box=12 m^3

height is 3 times the width

let height, length and breadth be H, L & B

H=3\times B

V=12=L\times B\times H

4=B^2\times L[/tex]

L=\frac{4}{B^2}

Cost of side walls $ 8/m^2

Cost of base $ 12/m^2

Cost of side walls=(2LH+2BH)\cdot 8

Cost of base =12LB

Total cost C=16LH+16BH+12LB

C=48LB+48B^2+12LB

C=\frac{192}{B}+48B^2+\frac{48}{B}

differentiate C w.r.t B to get minimum cost

\frac{\mathrm{d} C}{\mathrm{d} B}=-\frac{192}{B^2}+2\times 48 B-\frac{48}{B^2}

B^3=\frac{240}{2\times 48}

B=1.35 m

H=3\times 1.35=4.07 m

L=2.19 m

C=$ 265.25

3 0
3 years ago
What us the difference in the ares of a circle with diameter 4 m and a circle with diameter 6 m? Round your answer to the neares
enyata [817]
Let's calculate each area.
4 m:
We need to divide it by 2 to find the radius.
4÷2=2
Now let's put it in the formula.
2²π
4π=12.5663706≈13
6 m:
We need to divide it by 2 for the radius.
6÷2=3
Now put it in the formula.
3²π
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Now subtract 13 from 28.
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So, the difference between their area is 15 m².
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4 years ago
PLEASE HELP!!! The data set shows the ages of people riding a bus.
labwork [276]

Step-by-step explanation:

The number which is repeated more times will be mode...

So...

11 is Answer

8 0
3 years ago
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