All categories

2 years ago

Write an expression to model the following phrase “ a daily rate of $40 plus a $7 occupancy tax “

Mathematics

1 answer:

Nataliya [291]2 years ago

4 0

It would be 40n + 7=x!!!

Hope this helps have a good day!!!

You might be interested in

What is equivalent to (x+1) (x-2)(x+4)(3x+7)

marta [7]

Answer: 6x*9

Step-by-step explanation:

open parathesises to

x+1*x-3*x+4*3x+7

combine like terms

6x*9

you can’t simplify further so bam

hope i did this right and it helps :)

8 0

3 years ago

How to write 168.7 in expanded form

nadya68 [22]

Answer:

100 + 60 + 8 + 0.7

Step-by-step explanation:

Expanded form or expanded notation is a way of writing numbers to see the value of individual digits.

3 0

2 years ago

Read 2 more answers

What is the answer to the question

Vika [28.1K]

All you have to do is divde hope this helps thank ylu

6 0

2 years ago

Find the value of A when pi= 3.142 and r= 5

guapka [62]

Answer:

7.855

Step-by-step explanation:

A=pi*r^2=3.142*5^2=3.142*25=7.855

7 0

3 years ago

A rectangular box with a square base is to be constructed from material that costs $9 per ft2 for the bottom, $5 per ft2 for the

kramer

Answer:

$18.73ft^3$

Step-by-step explanation:

Let

Side of square base=x

Height of rectangular box=y

Area of square base=Area of top= $(side)^2=x^2$

Area of one side face= $l\times b=xy$

Cost of bottom=$9 per square ft

Cost of top=$5 square ft

Cost of sides=$4 per square ft

Total cost=$204

Volume of rectangular box= $V=lbh=x^2y$

Total cost= $9(x^2)+5x^2+4(4xy)=14x^2+16xy$

$204=14x^2+16xy$

$204-14x^2=16xy$

$y=\frac{204-14x^2}{16x}=\frac{102-7x^2}{8x}$

Substitute the values of y

$V(x)=x^2\times \frac{102-7x^2}{8x}=\frac{1}{8}(102x-7x^3)$

Differentiate w.r.t x

$V'(x)=\frac{1}{8}(102-21x^2)=0$

$V'(x)=0$

$\frac{1}{8}(102-21x^2)=0$

$102-21x^2=0$

$102=21x^2$

$x^2=\frac{102}{21}=4.85$

$x=\sqrt{4.85}=2.2$

It takes positive because side length cannot be negative.

Again differentiate w.r. t x

$V''(x)=\frac{1}{8}(-42x)$

Substitute the value

$V''(2.2)=-\frac{42}{8}(2.2)=-11.55$

Hence, the volume of box is maximum at x=2.2 ft

Substitute the value of x

$y=\frac{102-7(2.2)^2}{8(2.2)}=3.87 ft$

Greatest volume of box= $x^2y=(2.2)^2\times 3.87=18.73 ft^3$

5 0

3 years ago