A person can pay $17 dollars for a membership to the science museum and then go to the museum for just $1 per visit What is the maximum number of visits a member of the science museum can make for a total cost of $ 50 ?

Answer:

$8,670

Step-by-step explanation:

George will save $1,431 in interest by paying an extra $50 per month.

A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.

First, you need to calculate the length of the loan in years.

Since George can afford to pay $350 per month, and he wants to borrow $30,000, the length of the loan in months is 30,000 / 350 = 85.71428571 months.

To convert this to years, you can divide the number of months by 12: 85.71428571 months / 12 months/year = 7.142857143 years.

You should round this to the nearest quarter of a year, which is 7.25 years.

Next, you need to calculate the total amount of interest that George will pay over the course of the loan. To do this, you can use the formula:

interest = principal x rate x time

In this formula, "principal" is the amount of money that George is borrowing, "rate" is the interest rate of the loan, and "time" is the length of the loan in years. Plugging in the values that you know, you get:

interest = 30000 x 0.0477 x 7.25 = 10,374.75

Now that you know how much interest George will pay if he pays $350 per month, you can use the same formula to calculate how much interest he will pay if he pays $400 per month. You will get a slightly different loan length because the $400 payment will allow him to pay off the loan faster.

The new loan length will be 30,000 / 400 = 75 months.

Converting this to years gives 75 months / 12 months/year = 6.25 years. Rounding this to the nearest quarter of a year gives 6.25 years.

Using the formula again, you get:

interest = 30000 x 0.0477 x 6.25 = 8,943.75

To find out how much George will save by paying $50 more per month, you can subtract the amount of interest he will pay with the higher monthly payment from the amount of interest he will pay with the lower monthly payment:

10,374.75 - 8,943.75 = 1,431

This means that he will save $1,431 in interest by paying an extra $50 per month.

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Answer:

I dont see a graph, but the constant of proportionality the ratio between two directly proportional quantities. two quantities are directly proportional when they increase and decrease at the same rate

Step-by-step explanation:

if you add a graph, ill edit my answer

hope this helps!

Answer:

12 per one bag

Step-by-step explanation:

60lb bag divided by the amount it costs which is $5.

Which equals $12.

Answer:

$1/12lb

Step-by-step explanation:

Divide 60 by 5.

Answer:

The answer is B i think so.....Hope this helps!

Step-by-step explanation:

Answer:

A. x ≥ -3, y ≥ x - 2

Step-by-step explanation:

This can be the only answer because, x can be equal OR greater than -3. Therefore, since none of them have a greater than or equal to sign towards a -3. A can be your only answer.

Answer:

they are right and your smart don't second guess yourself

Step-by-step explanation:

Answer:

=3x^2−13x+7

Step-by-step explanation:

6x2−5x+3−(3x2+8x−4)

=6x^2−5x+3+−1(3x^2+8x−4)

=6x^2+−5x+3+−1(3x^2)+−1(8x)+(−1)(−4)

=6x^2+−5x+3+−3x^2+−8x+4

=6x^2+−5x+3+−3x^2+−8x+4

=(6x^2+−3x^2)+(−5x+−8x)+(3+4)

=3x^2+−13x+7

Can you give me Brainliest please.

Answer:

0.8 meters

Step-by-step explanation:

The scale factor is 1:250 (can be rewritten as 1/250 or 1 to 250).

1/250 × 212 = 0.848 Meters

Round to the nearest tenth, the scale model will be 0.8 meters.

OR: SET UP A PROPORTION:

[tex] \frac{250}{1} \times \frac{212}{x} [/tex]

cross-multiply

[tex]250x = 212[/tex]

[tex]x = 0.848[/tex]

Answer:

0.8

Step-by-step explanation:

ye

Answer:

B = 243°

Step-by-step explanation:

Full revolution = 360°

360 - 117 = 243

Answer:

243 degrees

Step-by-step explanation:

The angle of a full circle = 360 degrees

360 - 117 = 243

Answer:

Step-by-step explanation:

S=4πr²

ds/dt=4π×2r×dr/dt=8πr dr/dt

dr/dt=60 cm/min

ds/dt=8π×60r=480πr

r=16,t=0

at t=2,r=16+32=48 cm

so ds/dt=480π×48=23040 πcm²≈72382.79 cm²

2.

[tex]V=\frac{1}{3} \pi r^2*h\\\frac{r}{h} =\frac{2}{3} \\r=\frac{2}{3} h\\V=\frac{1}{3} \pi( \frac{2}{3} *h)^2h\\V=\frac{4}{27} \pi h^3\\\frac{dV}{dt} =\frac{4}{27}\pi *3h^2\frac{dh}{dt} \\\\when ~h=1.8 ~m,\frac{dh}{dt} =2.1~m/min\\\frac{dV}{dt} =\frac{4}{9}\pi h^2\frac{dh}{dt} =\frac{4}{9} \pi*(1.8)^2*2.1=27.216 \pi \approx 85.502 m^3[/tex]

Answer:99

4/2ndjsjhowkllsnlove u

Answer:

x = 7

y = 8

Step-by-step explanation:

The following data were obtained from the question:

Data => 4, 6, х, y, 10

Mean = Median

x =?

y =?

Next, we shall determine the mean of the data. This can be obtained as follow:

Data => 4, 6, х, y, 10

Mean =?

Mean = summation of data / number of data

Mean = 4 + 6 + х + y + 10 / 5

Mean = 20 + х + y / 5

Next, we shall determine the median of the data. This can be obtained as follow:

Data => 4, 6, х, y, 10

Median =?

Median = the middle term of data

Median = x

Next, we shall equate the mean and median. This can be obtained as follow:

Mean = 20 + х + y / 5

Median = x

Mean = Median

20 + х + y / 5 = x

Cross multiply

20 + х + y = 5x

Collect like terms

20 + y = 5x – x

20 + y = 4x

Make y the subject

y = 4x – 20

Case 1

Let x = 7

y = 4x – 20

y = 4(7) – 20

y = 28 – 20

y = 8

Mean = 20 + х + y / 5

Mean = 20 + 7 + 8 / 5

Mean = 35/5

Mean = 7

Median = x

x = 7

Median = 7

Mean = median = x = 7

Case 2:

Let x = 8

y = 4x – 20

y = 4(8) – 20

y = 32 – 20

y = 12

We can see that y is 12 which means that the data (i.e 4, 6, х, y, 10) would become 4, 6, х, 10, y. But from the question, we were told that the data (i.e 4, 6, х, y, 10) is in order. Therefore if y is 12, the order would be altered.! And this is not acceptable.

From the above illustration, we can conclude that:

x = 7

y = 8

This is easy math! It's just 51-24! Which is 27!! So, benny spent 27 on the baseball gear! :)

Answer:

0,16,32,48,64,80,96,112

2,9,11,18,20,27,29,36,38

Step-by-step explanation:

1.Counting by 16

2. Counting by 7 and 2

Answer:

m=22

Step-by-step explanation:

i am very very shmart

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

Corresponding segments of similar triangles are proportional. Here, the similar triangles are ...

  ΔABC ~ ΔADE

so the relationship between the sides is ...

  BC/BA = DE/DA . . . . . . we put the unknown value in the numerator

  x/4 = 12/(4+8)

  x = 4(1) = 4

The length of side x is 4.

Answer:

[tex] m\widehat{AB} =55 \degree[/tex]

Step-by-step explanation:

[tex] \because m\angle APC=m\angle DPE[/tex]

(Vertical angles)

[tex] \therefore m\widehat {ABC} =m\widehat {DE} [/tex]

(Measure of minor arc is equal to the measure of it's corresponding central angle)

[tex] \therefore m\widehat {AB}+m\widehat {BC} = m\widehat {DE} [/tex]

[tex]\therefore m\widehat{AB} = m\widehat {DE} - m\widehat {BC} \\ \\ m\widehat{AB} =93 \degree - 38 \degree \\ \\ m\widehat{AB} =55 \degree[/tex]

Answer:

Step-by-step explanation:

The solution of the system of linear equations is [tex]x = 3[/tex] and [tex]y = -4[/tex].

In this question, we notice that given system of linear equations consist of two equations and two variables, which means that solution is unique and can be found by graphic means. We proceed to graph each line with a graphing tool and label the point, in which both lines intersect each other.

The outcome from the graphing tool is presented below as attachment. In a nutshell, the solution of the system of linear equations is [tex]x = 3[/tex] and [tex]y = -4[/tex].

We kindly invite you to see this question related to systems of linear equations: https://brainly.com/question/13647755

Answer:

I’m pretty sore it is rotation so I would go with A or B but I have a 85% on A glad to help

Step-by-step explanation:

Answer:

6 feet by 5 feet by 3 feet

17 feet by 6 feet by 4 feet

8 feet by 3 feet by 7 feet

Answer:

16.4

Step-by-step explanation:

Answer:

16.4

Step-by-step explanation:

(EDITED) Answer:

1/2k - 1/6m

2/4K + (-1/6) m

Answer:

1/2K - 1/6m

Step-by-step explanation:

You can combine the ones with the same variable.

First, rearrange the equation:

3/4K - 1/4K - 5/6m + 2/3m

Then simplify each part

1/2K - 1/6m

Answer:

slope= 8/5

Step-by-step explanation:

(y2 - y1) / (x2 - x1)= -8-8/-5-5

slope(m)= -16/-10

m= 8/5

the numbers to the questions are on the top left corner of each bubble, hope this helps!

Step-by-step explanation:

10 and under= 3

11-15=7

16-20=8

20 and over= 2

Answer:

p = 3

Step-by-step explanation:

The price elasticity of demand at the equilibrium points occurs when quantity demand equals quantity supply.

So,

72-8p= -24 +24p

Taking like terms together,

72+24 = 24p+8p

96 = 32p

p = 3

Hence, the price elasticity of demand is at p = 3.

Answer:

48degrees

Step-by-step explanation:

108+(2n+n)= 180. - ( supplementary angles)

n= 24

DOB=2n= 2*24= 48degrees