baseball card that was valued at $200 in 1980 has intreased in value by 7% each year. Write a function to model this situation, then find the
value of the card in 2016.

Answer:

C. [tex]c = \frac{-7+-\sqrt{129} }{8}[/tex]

Step-by-step explanation:

Before we start, you can think of the variable "c," as x.

The quadratic formula/equation is:

[tex]x = \frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

The setup is:

[tex]ax^2+bx+c=0[/tex]

[tex]4c^2+7c-5=0[/tex]

Plug in the numbers accordingly to the letter associated, like so:

[tex]x = \frac{-7+-\sqrt{7^2-4(4)(-5)} }{2(4)}[/tex]

[tex]x = \frac{-7+-\sqrt{49+80} }{8}[/tex]

[tex]x = \frac{-7+-\sqrt{129} }{8}[/tex]

Answer:

Its b got it correct

The total monthly mortgage payment for the house is $975.63

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

The principle amount is $175000

80% of 175000 is =  = $140000

20% of 175000 is =  = $35000

Emi formula is :

p*r*(1-r)^n/(1-r)^n-1

For 1st part:

p = 140000

r = 4.75/12/100=0.00395

n = 360

Putting values in formula we get

= $729.508

For 2nd part:

p = 35000

r = 7.525/12/100=0.00627

n = 360

Putting values in formula we get

= $245.301

Adding both the monthly payments:

974.809 dollars

This is closest to option A.

So, option A is the answer.

And for 30 years the mortgage payment will be = 351226.80 dollars

Hence, The total monthly mortgage payment for the house is $975.63.

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Answer:

B

Step-by-step explanation:

175 is the yearly cost which is the constant

The cost is related to the miles so that’s why they’re multiplied together

The total amount of reimbursement the company offers will be C = 0.45x + 175. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Joseph's company offers a reimbursement package of $0.45 per mile plus $175 a year for maintenance.

Let 'x' be the number of miles and 'C' be the number total amount. Then the equation of the line is given as,

C = 0.45x + 175

The total amount of reimbursement the company offers will be C = 0.45x + 175. Then the correct option is B.

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Answer:

1. 45 megabytes

2. 50 megabytes

Step-by-step explanation:

Given

S(t) = 5t + 45

Required

Find S(t) when the transfer began

And find the additional transfer size at interval of 10 seconds

When the file transfer initially began, the value of t is 0.

Given that S(t)=5t+45.

Substitute 0 for t

S(0)=5 * 0 + 45

S(0) = 0 + 45

S(0) = 45.

Hence, the hard drive had 45 megabytes on it when the transfer started.

At every interval of 10 seconds. We take t to be 10, 20, 30...seconds

When t = 10

S(t)=5t+45 becomes

S(10) = 5(10) + 45

S(10) = 50 + 45

S(10) = 95 megabytes

When t = 20

S(t)=5t+45 becomes

S(20) = 5(20) + 45

S(20) = 100 + 45

S(20) = 145 megabytes

When t = 30

S(t)=5t+45 becomes

S(30) = 5(30) + 45

S(30) = 150 + 45

S(30) = 195 megabytes

Calculating the difference

Difference = S(30) - S(20) or S(20) - S(10)

Difference = 195 - 145 or 145 - 95

Difference = 50 or 50

See that the difference is the same.

So, at every 10 seconds interval, there's an additional 50 megabytes transferred

Answer:

A) 4ab^2

Step-by-step explanation:

19*4 = 76

(a^2*b^3)/(a*b) = a*b^2

Implies, option A.

Answer:

a)

Theoretical: 10/30 = 1/3

Experimental: 12/30 = 6/15

Step-by-step explanation:

the theoretical probability is if every number was rolled an equal amount of times. as there are 3 options and a number was chosen 30 times, if we divide 30 by 3 we will get the theoretical probability of choosing a 2

30 ÷ 3 = 10

the theoretical probability = 10/30 or simplified 1/3

the experimental probability is the result when one of the numbers from

1 to 3 were actually randomly selected 30 times. the chart shows that the 2 was selected 12 times out of 30 therefore the experimental probability = 12/30 or simplified 6/15

Theoretical:

fraction: 1/3

decimal: 0.33∞

percentage: 33%

Experimental:

fraction: 6/15

decimal: 0.4

percentage: 40%

I hope this was helpful :-)

Answer:

40°

Step-by-step explanation:

complementary angels makes the sum of two angles = 90°

so

<ABC + < CBD = 90°

if <ABC = 50°

then 90° - 50° = 40°

Answer:

B. 90

Step-by-step explanation:

In a triangle if one of the angle is 90 deg the triangle is said to be a RIGHT ANGLED TRIANGLE.

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Given triangle is a right-angle triangle. option B is correct.

The properties of the triangle are:

1. The sum of all the angles of a triangle (of all types) is equal to 180°.

2. The sum of the length of the two sides of a triangle is greater than the length of the third side.

3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

A triangle is said to have a right angle if one of its angles is precisely 90 degrees. There are several techniques to spot a right angle triangle, including:

Therefor, the given triangle is a right-angle triangle.

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Answer:

7x=42

Solve:

7x=42

7x=42/7

/7

x = 6

6 is the maximum cost lisa can spend for each party favor bag.

Answer:

12,762.82$

Step-by-step explanation:

10,000(1+0.05)^5

Answer:

Option A is correct.

Step-by-step explanation:

P  = C - (5/100)C = (95/100)C = 95% of C

Hope this helps!

:)

Answer:

B

Step-by-step explanation:

Answer:

576

Step-by-step explanation:

First off, we can use the area of a kite formula, (D1*D2)/2 to get the area of one side of the kite, which is simplified to 18 * 32 : which gets us 288. But because we are looking for the area of the front and back side, we multiply 288 by 2- getting the final answer of 576.

Answer:

576

Step-by-step explanation:

Answer:

the answer for the volume of the cylinder is V≈25.13in³

Answer:

h=2         d=4  

r=4/2  , radius is half of the diameter

r=2

V=π  r^2h

V= π x (2)²×2

substitute variables into formula V=25.132741228718

the nearest tenths place V=25.1 inches

Answer:

1). Mean: 14.2

  Median: 13.5

Step-by-step explanation:

To calculate the mean, sum all values and divide by the number of values:

(13+16+14+17+13+12) / 6 ≈ 14.2

To calculate the median, order the values from small to large and take the middle value. If there is no middle. average the two values in the middle:

12,13,13,14,16,17

The median is (13+14)/2 = 13.5.

Using this explanation you should be able to find the rest.

Answer:

2 ways.

Step-by-step explanation:

6/3=2

Answer:

binomial

Step-by-step explanation:

4by + 2b - by

Combine like terms

3by +2b

This is a binomial since it has 2 terms

Answer:

[tex]{f}^{ - 1}(x) = \frac{x + 11}{ - 5} [/tex]

Step-by-step explanation:

[tex]f(x) = - 5x - 11 \\ - 5x - 11 =x \\ - 5x = x + 11 \\ {f}^{ - 1}(x) = \frac{x + 11}{ - 5} [/tex]

Answer:

q > 27/61

Step-by-step explanation:

50q + 43 > -11q +70

Add 11 q to each side

50q+11q + 43 > -11q+11q +70

61q +43 > 70

Subtract 43 from each side

61q+43-43 > 70-43

61q > 27

Divide each side by 61

61q/61 >27/61

q > 27/61

Answer:

q > 27/61

Step-by-step explanation:

hope this helps!!

Answer:

84m³ (A) should be correct

Answer:

A

Step-by-step explanation:

Volume = length × width × height

= 7 × 4 × 3

= 84 m²

Answer:

3.5

Step-by-step explanation:

1 / 3

First, let's find the mean.

\dfrac{26+31+39+32}{4} = \dfrac{128}{4}= \blueD{32} \text{ putts}  

4

26+31+39+32

​  

=  

4

128

​  

=32 puttsstart fraction, 26, plus, 31, plus, 39, plus, 32, divided by, 4, end fraction, equals, start fraction, 128, divided by, 4, end fraction, equals, start color #11accd, 32, end color #11accd, start text, space, p, u, t, t, s, end text

Hint #22 / 3

Next, let's find the distance each data point is from the mean.

Data point Distance from the mean

262626 \blueD{32}-26 = 632−26=6start color #11accd, 32, end color #11accd, minus, 26, equals, 6

313131 \blueD{32}-31 = 132−31=1start color #11accd, 32, end color #11accd, minus, 31, equals, 1

393939 39-\blueD{32} = 739−32=739, minus, start color #11accd, 32, end color #11accd, equals, 7

323232 32-\blueD{32} = 032−32=032, minus, start color #11accd, 32, end color #11accd, equals, 0

Hint #33 / 3

The mean absolute deviation (MAD) is the mean of the distances from the mean.

\dfrac{6+1+7+0}{4} = \dfrac{14}{4}= 3.5\text{ putts}  

4

6+1+7+0

​  

=  

4

14

​  

=3.5 putts  I hope it helps.

Answer:10x^2+11xy-6y^2

Step-by-step explanation:

( 2 x + 3 y ) ( 5 x − 2 y )  = 2 x ( 5 x − 2 y ) + 3 y ( 5 x − 2 y )

= 10 x 2 − 4 x y + 15 x y − 6y 2

= 10 x 2 + 11 x y -6 y 2 .

Answer:

d

Step-by-step explanation:

The rectangle is 28×34 and the two triangles are (1/2) 11 (28) and (1/2) (9)(34)

A = 28(34) +  (1/2) 11 (28) + (1/2) (9)(34)

A = 1259

Answer: 1259 sq units

Answer:

a. 0

Step-by-step explanation:

hope this helps!

The solutions to the equation n³+3n²+n-33=0 are n=-11, n=-3, and n=1.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Given that, 9/(n²+1) = (n+3)/4.

Here, 9×4=(n²+1)×(n+3)

36=n²(n+3)+1(n+3)

36=n³+3n²+n+3

n³+3n²+n+3-36=0

n³+3n²+n-33=0

The equation n³+3n²+n-33=0 can be solved by factoring. The factors of -33 are -1 and 33. Since the coefficient of the n³ term is 1, this means that n-1 and n+33 are factors of the equation.

Dividing both sides of the equation by n-1, we get:

n²+3n+33/(n-1)=0

Factorizing the numerator, we get:

(n+11)(n+3)=0

Solving this equation, we get n=-11 and n=-3.

Therefore, the solutions to the equation n³+3n²+n-33=0 are n=-11, n=-3, and n=1.

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Mean: 10.5

Median: 10.5

Range: 5

--------------------------------------------

To find the mean you order the numbers then add then divide.

Add

8+9+10+10+10+11+11+11+12+13=105

Divide

105÷10=10.5

Mean = 10.5

--------------------------------------------

Finding the median essentially involves finding the value in a data sample that has a physical location between the rest of the numbers.

Find the middle number. Put your left finger on 8 and your right finger on 13. Move your left finger to the right to 10 and move your right finger to 11.

the middle number is 10.5 so therefore it is the median.

--------------------------------------------

To find the range you subtract the biggest number to the smallest number.

Subtract

13-8=5

Therefore 5 is the range

Answer:

The median is 10.5 the range is 5 and the mean is 10.5

Step-by-step explanation:

To find the median you have to cross out each number till you get 2 since there are 10 numbers together then add 10 and 11 and get 21 divide by 2 which gives you 10.5 to find the mean add all the numbers then divide 105 by 10 and get 10.5 to find the range take 13-8 and get 5

Answer:

y > -4

Step-by-step explanation:

−2y<8

Divide each side by -2, remembering to flip the inequality since we are dividing by a negative

-2y/-2 > 8/-2

y > -4

Answer:

Last option

y > -4

Step-by-step explanation:

-2y < 8

Switch sides

-8 < 2y

-4 < y

Or

y > -4

Multiply both sides by 9.

x/9 = 3

(x/9) * (9) = (3) * (9)

x=27

The solution of the expression x/9 = 3 is,

⇒ x = 27

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The expression is,

⇒ x/9 = 3

Now, Simplify the expression as;

⇒ x/9 = 3

Multiply by 9, we get;

⇒ 9 × x/9 = 9 × 3

⇒ x = 27

Thus, The solution is,

⇒ x = 27

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Answer:

A)

400+3x+5000=12x

5400 = 9x

x =600

B)

Profit: zero (break even)

Total cost or Income from 600 Sales: $7200