Your family spends $30 for tickets to an aquarium and $3 per hour for parking. Write an equation that gives the total cost of your family’s visit to the aquarium as a function of the number of hours that you are there. If your family stays for 8 hours, how much money did your family spend for the visit?

Answers

Answer 1

Answer:

$54

Step-by-step explanation:

Total cost = ticket cost  +  parking cost:

    C(x)      =  $30             +   ($3/hr)x

An 8-hour stay would cost:

      C(8)        =    $30 + ($3/hr)(8)   =   $54


Related Questions

can anyone help me on absolute deviation

Answers

Answer:

what do you need help with?

Step-by-step explanation:

can someone solve this for me?

Answers

Answer:

A, C, D

Step-by-step explanation:

42 + 14 = 56

38 + 18 = 56

67 + 33 = 100

70 + 30 = 100

93 + 35 = 128

95 + 33 = 128

B)

40 + 22 = 62

32 + 10 = 42

62 ≠ 42

Answers: A, C, & D

Why is A correct?
Well, A is correct because 42+14 is 56, And 38+18 is also 56

Why is B not correct?
Well, 40+22 is 62 but 32+10 is not the same answer because 32+10 is 42

Why is C correct?
Well, 67+33 is 100 and 70+30 is also 100

Why is D also correct?
Well, 93+ 35 is 28 and 95+ 33 is indeed, 128

Hope this helped!

A cereal box has a length of 8 inches, a width of 1 3/4 inches, and a height of 12 1/8 inches what is the volume of the cereal box?

Answers

Answer:

169 3/4 in³

Step-by-step explanation:

v=l×w×h

v=8× 1 3/4× 12 1/8

21  7/32×8= 169 3/4 in³

¿Cuáles son las famosas razones trigonométricas y sus inversas?

Answers

Answer:

Razones trigonométricas inversas: cosecante, secante y cotangente. ... Dado un triángulo rectángulo, definimos la cosecante, la secante y cotangente de un ángulo como las razones inversas del seno, coseno y tangente, respectivamente.

Step-by-step explanation:

espero y te ayude

can someone help me I will give you a brainliest

Answers

2√3+6√2

hope this helps :D

Answer:

Step-by-step explanation:

2√3+6√2

A t-shirt company spent 28% of its annual budget developing a new heat-press machine. What fraction of the company's budget was spent developing the new machine?

Answers

Answer:

7/25

Step-by-step explanation:

jason is closing on a $430,000 home. he made a 10% down payment and is borrowing the rest. closing costs are 3.5 percent of the mortgage.

a. what is the down payment?

b. what is the amount of the mortgage?

c. what are the closing costs?

d. what is the total amount of the mortgage if they finance the closing costs with the mortgage

Answers

The total Amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.

a) The down payment of Jason is 10% of $430,000 =$43,000b) The amount of the mortgage is the difference between the home value and the down payment.

Mathematically, $430,000 - $43,000 = $387,000.c) The closing costs are 3.5% of the mortgage. So, 3.5% of $387,000 is: 0.035 × $387,000 = $13,545.

Hence, the closing costs are $13,545. d) The total amount of the mortgage if they finance the closing costs with the mortgage is the sum of the amount of mortgage and the closing cost.

So, the total amount of the mortgage is: $387,000 + $13,545 = $400,545.Solution:a) Jason's down payment is 10% of the cost of the house, which is given as $430,000.

To calculate the down payment, multiply the cost of the house by 10%.Down payment = $430,000 x 10% = $43,000

Therefore, Jason's down payment is $43,000.b)

The amount of the mortgage is the difference between the total cost of the house and the down payment. The cost of the house is given as $430,000.

Thus, we have:Mortgage amount = Total cost - Down paymentMortgage amount = $430,000 - $43,000Mortgage amount = $387,000

Therefore, the amount of the mortgage is $387,000.c) The closing costs are 3.5% of the mortgage.

Using the mortgage amount calculated in part b), we can compute the closing costs as follows:Closing costs = 3.5% x Mortgage amountClosing costs = 3.5% x $387,000

Closing costs = $13,545

Therefore, the closing costs are $13,545.

d) If the closing costs are financed with the mortgage, we simply need to add the closing costs to the mortgage amount calculated in part b):Total amount of the mortgage = Mortgage amount + Closing costsTotal amount of the mortgage = $387,000 + $13,545

Total amount of the mortgage = $400,545

Therefore, the total amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.

For more questions Amount.

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This is a lot but please help me I’ll mark u as brilliant

Answers

Answer:

see below

Step-by-step explanation:

2:

# of sides = 3

# of vertices = 3

name of shape: triangle

3.

# of sides = 4

# of vertices = 4

name of shape: quadrilateral

4.

# of sides = 5

# of vertices = 5

name of shape: pentagon

5.

# of sides = 6

# of vertices = 6

name of shape: hexagon

6.

# of sides = 8

# of vertices = 8

name of shape: octagon


What is the length of the hypotenuse in the following figure.

Answers

Answer:

5

Step-by-step explanation:

what do you mean ?? its already written there

Answer:

The answer is 5

Step-by-step explanation:

The answer is 5 because the length across from the right angle is always the hypotenuse.

A=144pi^2 ft. Find the radius

Answers

The radius is 12 because 12^2 equals 144

Triangle
F
G
H
FGHF, G, H is similar to triangle
P
Q
R
PQRP, Q, R.
Solve for
y
yy.
y
=
y=y, equals


F
F
H
H
G
G
10
10
7
7
6
6
P
P
R
R
Q
Q
5
5
3.5
3.5
y
y

Show Calculator

Answers

Answer:

a

Step-by-step explanation:

worng worng

The right rectangular prisms are similar.

Which statements are correct? Check all that apply.

3.2 AT

The angles in the smaller prism measure 90

degrees.

The perimeter of the rectangular bases changes by

a factor of 2.

The surface area changes by a factor of 8.

The larger prism has twice the volume of the

smaller prism.

The area of the rectangular bases changes by a

factor of 4.

1.6

-

-

-

-

-

-

10.4

V

0.8

2.2.

Answers

Answer:

A)The angles in the smaller prism measure 90 degrees.

B)The perimeter of the rectangular bases changes by a factor of 2.  

E)The area of the rectangular bases changes by a factor of 4.

Step-by-step explanation:

The right rectangular prisms are similar.

Which statements are correct? Check all that apply.

A)The angles in the smaller prism measure 90 degrees.

B)The perimeter of the rectangular bases changes by a factor of 2.

C)The surface area changes by a factor of 8.

D)The larger prism has twice the volume of the smaller prism.

E)The area of the rectangular bases changes by a factor of 4.

Solution:

Two polygons are said to be similar if they have the same shape, the ratio of their sides are in the same proportion and they have the same size of angles.

A) Since the bigger prism has angles with measure of 90°, hence the angles in the smaller prism will also measure 90.

Option A is correct.

B) Perimeter of bigger prism base = 2(2.2 + 0.8) = 6

Perimeter of smaller prism base = 2(1.1 + 0.4) = 3

The perimeter of the rectangular bases changes by a factor of 2 (6 / 3).

Option B is correct.

C) Surface area of bigger prism = 2(3.2*0.8 + 2.2*0.8 + 3.2*2.2) = 22.72

Surface area of smaller prism = 2(1.6*0.4 + 1.1*0.4 + 1.6*1.1) = 5.68

The surface area does not change by a factor of 8 (22.72 / 5.68 ≠ 8)

Option C is wrong

D) Volume of bigger prism = 2.2 * 3.2 * 0.8 = 5.632

Volume of smaller prism = 1.1 * 1.6 * 0.4 = 0.704

The larger prism volume is not twice of the smaller prism

Option D is wrong

E) Area of bigger prism base = 2.2*0.8 = 1.76

Area of smaller prism base = 2.2*0.8 = 0.44

The area of the rectangular bases changes by a  factor of 4 (1.76 / 0.44 = 4)

Employees at a company are given £1,200 to spend on items for the office.
They decide to buy a coffee machine and as many bean bags as possible.
Bean bags cost £40 with an offer of "Buy at least 15 get 10% off the price."
The coffee machine costs £280.
How much will they have left over from the £1,200?

Answers

Answer:

380

Step-by-step explanation:

280 coffe machine

15 bag multiple for 40= 600 - 15%= 540

540+280=820

1200-820=380

find the slope, (-2,-2) and (1,4)​

Answers

(-2,-2) (1,4)
X1,Y1 X2,Y2
Y2-Y1/X2-X1
4-(-2)/1-(-2) = 6/3 or 2


The radius of the base of a cone is 6 inches the height of the cone is 6 inches. Which is closest to the volume of the cone

Answers

Answer:

V = 226.19

Step-by-step explanation:

v=(Pi)(r^2)(h/3) = 3.14(6^2)(6/3) = 3.1415(36)(2) = 226.19

The closest to the volume of the cone is given by 226.19.

We have given that,

The radius of the base of a cone is 6 inches the height of the cone is 6 inches.

What is the formula of the volume cone?

V=(Pi)(r^2)(h/3)

V= 3.14(6^2)(6/3)

V= 3.1415(36)(2)

V= 226.19

Therefore, The closest to the volume of the cone is given by 226.19.

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prove the following identity showing all steps:
[tex]\frac{cos(x+30)-sin(x+60)}{sin(x)cos(x)} =-sec(x)[/tex]

please help fast

Answers

Answer:

See solution below

Step-by-step explanation:

Given the expression

[tex]\frac{cos(x+30)-sin(x+60)}{sin(x)cos(x)} \\[/tex]

Recall that

cos x  = sin(90-x)

cos(x+30 ) = sin (90-(x+30)

= sin(90-x-30)

= sin(60-x)

Substitute

[tex]\frac{sin(60-x)-sin(x+60)}{sin(x)cos(x)} \\= \frac{sin60cosx-cos60sinx)-sinxcos60-cosxsin60)}{sin(x)cos(x)} \\= \frac{-2cos60sinx)}{sin(x)cos(x)} \\= \frac{-2(1/2)sinx)}{sin(x)cos(x)} \\= \frac{-1}{cos(x)}\\= \frac{1}{cos(x)}\\ \\= -sec(x) Proved[/tex]

...help me pls with this work i'm timed

Answers

Answer:

10 cm

Step-by-step explanation:

multiply first 4×2 which is Base. then multiply by 1 1/4 which is 10

The fine you must pay for hunting without a license went from $65 to $78. What percent of increase is this? Show your work.

Answers

Answer:

20%

Step-by-step explanation:

65 and 78 are both multiples of 13. Divide both by 13, we get 5 and 6.

If we use 5 as our main value (100%), 6 would be 120% as adding 1 to the main number (5) increases it by 20%. So 6 is a 20% increase from 5.

:D

The Chimera Ant population is 7,500 and grows 3% each year. What will the population be after 3 years.

Answers

8175 because the 3 percent of 3 years is 675

Solve the system and find the values of x and y

Answers

Answer:

x = [tex]\frac{(a+b)}{2}[/tex]

[tex]y=\frac{a-b}{2}[/tex]

Step-by-step explanation:

System of equations has been given as,

x + y = a ----------(1)

x - y = b ---------(2)

By adding equation (1) and (2)

(x + y) + (x - y) = a + b

2x = a + b

x = [tex]\frac{(a+b)}{2}[/tex]

By substituting these values in equation (2),

x - y = b

[tex]\frac{a+b}{2}-y=b[/tex]

[tex]\frac{a+b}{2}-b=y[/tex]

[tex]\frac{a+b-2b}{2}=y[/tex]

[tex]\frac{a-b}{2}=y[/tex]

In the right triangle shown, m

Answers

[tex] \tan(30) = \frac{x}{ \sqrt{72} } [/tex]

[tex] \sqrt{72} \tan(30) = x[/tex]

x equals about 4.9 rounded to the hundredths place.

Use the tables to complete the statements,
Single Taxpayers: Income Brackets
Tax Rate Income Bracket
10%
O to 9,525
12% 9,526 to 38,700
22% 38,701 to 82,500
24% 82,501 to 157,500
32% 157,501 to 200,000
35% 200,001 to 500,000
37%
> 500,000
Single Taxpayers: Qualified
Dividends and Long-Term
Capital Gains
Tax Rate
Income Bracket
0%
O to 38,600
15% 38,601 to 425,800
20%
> 425,800
If she earned
Rita has a taxable income of $85,000. She sold stock after owning it for six months, resulting in a
$5,000 on the sale of the stock, Rita must pay $ In taxes on the gain,

Answers

Answer:

Short term Capital gain and $1200

Step-by-step explanation:

Any investment held under a year falls under short term capital gain

5,000 X 0.24 = 1,200

Answer:

Short term Capital gain and $1200.

Step-by-step explanation:

short term capital

Gains earned by selling assets you’ve held for a year or less are called short-term capital gains, and they generally are taxed at the same rate as your ordinary income, anywhere from 10% to 37%.

Since Rita has a taxable income of $85,000.

So , she fall 24% 82,501 to 157,500 Tax rate bracket.

Therefore     5,000 X 0.24 = 1,200

Thus Rita must pay $1200 in taxes on the Short term Capital gain made by her.

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What is the area, in square centimeters, of the trapezoid shown below?
3 cm
9 cm
12 cm
Please help

Answers

67.5 please mark thanks

You borrow $500 to buy a computer. The simple interest rate is 15%. You pay off the loan after 4 years. How much do you pay for the loan?

Answers

Answer:

133.33

Step-by-step explanation:

sorry if im incorrect

Answer:

800

Step-by-step explanation:

Can someone help me please

Answers

Answer:

That would seem like a b

Step by step explanation: (>) means greater than and b is stating that element a is higher than element c

PLS help plssss 30 points plssss and how how u know it’s math plssssss helppppp plsssss

Answers

the answer is 17 because a right angle is 90 and you subtract 73 from it and get 17

Answer:

Complementary angles sum to 90°

x + 73° = 90°x = 90° - 73°x = 17°

The half-life of a radioactive kind of krypton is 3 minutes. How much will be left after 6 minutes, if you start with 32 grams of it?

Answers

Answer:

8 grams

Step-by-step explanation:

The half-life of a radioactive kind of krypton is 3 minutes. How much will be l6eft after 6 minutes, if you start with 32 grams of it?

The formula is given as

Nt = No(1/2) ^t/t½

Nt = 32 × (1/2) ^6/3

Nt = 8 grams

PLSS HELP ME ASAP!! I WILL GIVE YOU BRAINLYEST!

A tree casts a 9-foot shadow while a 5-foot
pole casts a 2h foot shadow. How tall is the
tree?

Answers

the answer tho this is that the tree is 14ft

Answer:

22.5

Step-by-step explanation:

20 ft for an 8 foot shadow but since you need 1 more foot

take half of 5 (2.5) and you get 22.5

The graph of the function f(x)=5/4sin(x) is shown. What are the key features of this function?

The maximum value of the function is

The minimum value of the function is

On the interval (0. pi/2), the function is

The range of the function is

Answers

The maximum value of the function is 9/4.

The minimum value of the function is -1/4.

On the interval (0, pi/2), the function is strictly increasing.

The range of the function is [-1/4, 9/4].

Given function is:

[tex]y = \frac{5}{4} sin x +1[/tex]

What is the range of sin x?

The range of sin x is [-1, 1].

So the range of [tex]\frac{5}{4} sin x[/tex] will be [-5/4, 5/4]

So the range of [tex]\frac{5}{4} sin x +1[/tex] will be [-5/4 + 1, 5/4 +1]

The range of  [tex]\frac{5}{4} sin x +1[/tex] will be [-1/4, 9/4]

The maximum value of function = upper limit of the range of [tex]\frac{5}{4} sin x +1[/tex]

So, the maximum value of the function = 9/4

The minimum value of function = lower limit of the range of [tex]\frac{5}{4} sin x +1[/tex]

So, the minimum value of the function = -1/4

As we can see in the graph, in the interval (0, π/2) the function is strictly increasing.

Therefore, The maximum value of the function is 9/4.

The minimum value of the function is -1/4.

On the interval (0, pi/2), the function is increasing.

The range of the function is [-1/4, 9/4].

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Can someone please help me

Answers

Answer:

24

Step-by-step explanation:

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