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3 years ago

Describe the transformation f(x)=-2x-4;r(x)=(1/2x)

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

4 0

F(x) is a Virtical stretch that is reflected over the y axis moved 4 to the right

R(x) is a Horrizontal shrink

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The amphitheater has two types of tickets available, reserved seats and lawn seats. The maximum capacity of the venue is 20,000

Tema [17]

Let the number of reserved tickets = x

Let the number of lawn seats = y

Constraint functions:

Maximum capacity means $x+y\leq 20000$

For concert to be held $x+y\geq 5000$

$lawn seats\leq reserved$ means $y\leq x$

Objective functions :

Maximum profit equation p = 65x +40y

Intersection points :

(10000,10000) (20000,0)(2500,2500)(5000,0)

p at (10000,10000) = 65(10000) + 40(10000) = $1050000

p at (20000,0) = 65(20000) + 40(0) = $1300000

p at (2500,2500) = 65(2500) + 40(2500) = $262500

p at (5000,0) = 65(5000) + 40(0) = $325000

Hence maximum profit occurs when all 20000 reserved seats are sold and the profit is $1300000

Please find attached the graph of it.

8 0

4 years ago

WILL MARK BRAINLIEST IF GOTTEN RIGHT

kkurt [141]

Answer:

Step-by-step explanation:

Dont need to explain it quik mafs

6 0

3 years ago

Please help me solve these.

ale4655 [162]

Oh gosh i wish i knew how to do that what grade are u in cause i remember having that last year but dont remember.

5 0

3 years ago

You find an interest rate of 10% compounded quarterly. Calculate how much more money you would have in your pocket if you had us

Elena-2011 [213]

Answer:

see the explanation

Step-by-step explanation:

we know that

step 1

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$r=10\%=10/100=0.10\\n=4$

substitute in the formula above

$A=P(1+\frac{0.10}{4})^{4t}$

$A=P(1.025)^{4t}$

Applying property of exponents

$A=P[(1.025)^{4}]^{t}$

$A=P(1.1038)^{t}$

step 2

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$r=10\%=10/100=0.10$

substitute in the formula above

$A=P(e)^{0.10t}$

Applying property of exponents

$A=P[(e)^{0.10}]^{t}$

$A=P(1.1052)^{t}$

step 3

Compare the final amount

$P(1.1052)^{t} > P(1.1038)^{t}$

therefore

Find the difference

$P(1.1052)^{t} - P(1.1038)^{t}$ ----> Additional amount of money you would have in your pocket if you had used a continuously compounded account with the same interest rate and the same principal.

3 0

3 years ago

I need help in this qs :0

n200080 [17]

Answer:3x+6=2x+21 base angle of isosceles triangle

3x-2x=21-6

X=15

<J=3×15+6=51

<k=2×15+21=51

,<I=180-51-51=78

Step-by-step explanation:

7 0

3 years ago