anyone know how to do this one??

Given:

The value of home in 2011 is $95,000.

The value of home in 2018 is $105,000.

To find:

The exponential model for the value of the home.

Solution:

The general exponential model is

[tex]y=ab^x[/tex]       ...(i)

where, a is initial value and b is growth factor.

Let 2011 is initial year and x be the number of years after 2011.

So, initial value of home is 95,000, i.e., a=95,000.

Put a=95000 in (i).

[tex]y=95000b^x[/tex]       ...(ii)

The value of home in 2018 is $105,000. It means the value of y is 105000 at x=7.

[tex]105000=95000b^7[/tex]

[tex]\dfrac{105000}{95000}=b^7[/tex]

[tex]\dfrac{21}{19}=b^7[/tex]

Taking 7th root on both sides, we get

[tex]\left(\dfrac{21}{19}\right)^{\frac{1}{7}}=b[/tex]

Put [tex]b=\left(\dfrac{21}{19}\right)^{\frac{1}{7}}[/tex] in (ii).

[tex]y=95000\left(\left(\dfrac{21}{19}\right)^{\frac{1}{7}}\right)^x[/tex]

[tex]y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}[/tex]

Therefore, the required exponential model for the value of home is [tex]y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}[/tex], where x is the number of years after 2011.

Answer:

a=8

b=5

x=13

Step-by-step explanation:

Use Pythagoras's Theorem to find A

h²=y²+z²

10²=a²+6²

100=a²+36

∴a²=64

∴a=8

Use Pythagoras's Theorem to find A

h²=y²+z²

9²=b²+6²

81=b²+36

∴b²=45

∴b=3√5

x=a+b

=8+3√5

Answer:

a = 8

b = ∛5

x = 8 + ∛5

Step-by-step explanation:

I think here we have to do pythagorean theorem a² + b² = c² or c =√a² + b²

Now just plug in the numbers for 9, 6 and b

6² + b² = 9²

36 + b² = 81

b² = 45

b = 6.70820....

b = ∛5

∛5 = 6.70820..

Now plug in 6, 10, a

a² + 6² = 10²

a² + 36 = 100 (subtract 36 on both sides)

a² = 64

√64 = 8

a = 8

NOW X

8 + √45 = 14.708203

8 + ∛5 = 14.708203

x = 8 + ∛5

Hope this helps ya!!!

Answer:

Thanks

Step-by-step explanation:

Answer:

-8x-36

Step-by-step explanation:

-4(2x+9)

distribute: -4(2x+9)= -8x-36

Answer:

60 miles in 1.5 hours

Step-by-step explanation:

40 miles times 1 hour = 40 mph

40(1.5)= 60 mph

Answer:

60 miles on 1.5 hours

Step-by-step explanation:

Just do 40*1.5

Answer:

60/100 divided by 2

Step-by-step explanation:

60%= 60/100

100 divided by 2 is 50

( what you do to the top you do to the bottom)

60 divided by 2 is 30

60/100= 30/50

So the answer is 30

Step-by-step explanation:

(8x+6) (9x-30)

=72x²-240x+54x-180

=72x²-186-180

Answer:

(8x+6) (9x-30)

=72x²-240x+54x-180

=72x²-186-180

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3x=15

x=15/3

x=5

Answer:

Please mark as brainliest!!

Step-by-step explanation:

range = maximum value -minimum value

35-12=23

Answer:

10,244 pounds

Step-by-step explanation:

|R|= √(7,500+10,000cos110)²+(10,000sin110)²

|R|= about 10,244 pounds

thats how i did it :I

Answer:

B

Step-by-step explanation:

Edge 2021

Answer:

The value of the expression [tex](12/64)^{0}[/tex] is equal to 1

Step-by-step explanation:

You can get this answer two ways:

1. Simply plug in [tex](12/64)^{0}[/tex] into your calculator exactly as it appears. You will get one, so therefore, the expression is equal to 1.

2. If you know your exponent rules, you'll know that anything to the power of 0 equals 1, so no matter the value in the parentheses, the answer will be equal to 1.

Hope this helps!

Answer:

5/3

Step-by-step explanation:

Let

Denominator = x

Numerator = x - 7

New

Denominator = x + 9

Numerator = x - 7 + 2

= x - 5

x / x-7 = x -5 / x + 9

Cross product

x * x + 9 = x-7 * x-5

x² + 9x = x²- 5x - 7x + 35

x² + 9x - x² + 5x + 7x - 35 = 0

21x = 35

divide both sides by 21

x = 35 / 21

= 5 / 3

x = 5/3

The rational number is 5/3

Answer:

d

Step-by-step explanation:

The slope is positive which makes the graph increase

Answer:

Step-by-step explanation:

(c). The slope is [tex]-\frac{1}{3}[/tex] and y-intercept is 1

(d). The slope is 2 and y-intercept is 1

-- I assume, that the answer on given task ( Choose the graph that has a slope of 1/3 and a y-intercept of 1.​ ) is (a) or (b) --

Answer:  

w=2 , w=6 are the zeroes of the expression

Explanation:

We have been given the expression

after cross multiplication of the given expression so as to simplify it we will get

Solution to the given equation is w=2,w=6

Therefore these are the solutions of the given expression.

Answer: 3,618

Step-by-step explanation: You multiply 27 and 134 which equals 3,618.

Answer:

There were 3,618 chairs reserved for the workshop.

Step-by-step explanation:

134 chairs per 27 rooms

134*27 = 3,618

Answer:

1/3

Step-by-step explanation:

20/60 simplified is 1/3

20 for the red light

60 all of them added

Answer:

660

Step-by-step explanation:

66x10

=660.

So the answer is 660

Answer:

my guys its 12 so its c

Step-by-step explanation:

i did the test

Answer:

12

Step-by-step explanation:

Answer:

A)3

Step-by-step explanation:

if im wrong tell me and i will do it again

HOPE THIS HELPS:::)))

Answer:

332

Step-by-step explanation:

Since there is a ratio of 9:8 (women to men), the total should be 17. So even if there were 81 women and 72 men, the total ratio should still be 17. (In simplifiest form.)

So, 5,644 divided by 17=332

Since 9 is 1 more than 8, there are 332 more women than men.

Hope this made sense! I wasn't sure how to explain this.

Answer:

332

Step-by-step explanation:

Answer:

24.0

SinA = sinB

a b

Sin150 = Sin12

a 10

cross multiplication:

Sin(150) x 10

Sin(12)

5

sin 12 = 24.0

I hope I got it correct

Answer:

Step-by-step explanation:

[tex]\frac{10}{sn12}[/tex] = [tex]\frac{a}{sin150}[/tex]

a = [tex]\frac{10sin150}{sin12}[/tex] ≈ 24.0  

Answer:

its b

Step-by-step explanation:

they have the same slope

1)-4/-6=2/3

2)-2/-3=2/3

BUT different y-int

1)-6/-26=1/4

2)-3/-6=1/2

so no solution

Answer:

it would take him a minute to complete 4 problems

Answer:

4 problems per minute.

Step-by-step explanation:

Divide 24 by 6 and you would get 4.

Check: 6 x 4 = 24

6, 12, 18, 24

Hope this helps!

~Jerc~

Answer:the x intercept is 5

Step-by-step explanation:

hi

You have two points     A ( X;Y)  and B ( X ; Y)

slope is   :    ( Yb -Ya)   / (Xb -Xa )

A(2 ; 1)  and  B (17 ; - 17)  

so   :  (-17 - 1 )  / (17 -2) =  -18/ 15 =  - 6*3 / 5*3 =  -6/5

Answer:

1) -6·n - (-4·n) = -10·n (The double negative should change to positive  + sign here)

-6·n - (-4·n) = -6·n + 4·n = -2·n

The correct solution is;

n = 4

2)  y = 23.2 - 11.6 = 11.6, y = 11.6 (Seraphina's mistake is that subtraction was done rather than the division as shown here)

The correct solution is;

y = 2

Step-by-step explanation:

The given parameters are

-6·n + 22 = -4·n + 14

22 -  14= 6·n - 4·n = 2·n

8 = 2·n

n = 8/2 = 4

Cullen's mistake is as follows;

-6·n + 22 = -4·n + 14

-6·n - (-4·n)   =  -22 + 14

-6·n + 4·n   =  -22 + 14 (The double negative should change to positive  + sign here)

-2·n   =  -8

n = -8/(-2) = 4

n = 4

2) 8.4·y - 6.8 = -3.2·y + 16.4

8.4·y - (-3.2·y) = -(- 6.8) + 16.4

11.6·y = 23.2 → y = 23.2 - 11.6 = 11.6, y = 11.6 (Seraphina's mistake is that subtraction was done rather than the division as shown here)

y = 23.2/11.6 = 2

y = 2

3) The last equation has parts missing

Answer:

the answer is y=3.88894

Step-by-step explanation:

Answer: P(x) = (-1/4)*(x + 4)*(x + 4)*(x - 6)

Step-by-step explanation:

The factored form of a polynomial is:

P(x) = A*(x - r₁)*(x - r₂)*(x - r₃)....

Where:

A is a real number.

r₁, r₂,.... etc

are the roots.

In this case, we know that the roots are:

-4, -4, and 6.

Then the polynomial will be:

p(x) = A*(x + 4)*(x + 4)*(x - 6)

Now we also know that this polynomial passes through the point (2, 36)

This means that:

P(2) = 36 = A*(2 + 4)*(2 + 4)*(2 - 6) = A*6*6*(-4) = A*(-144)

          36 = A*(-144)

        -36/144 = A

          -0.25 = -1/4 = A

Then the polynomial is:

P(x) = (-1/4)*(x + 4)*(x + 4)*(x - 6)

19 & 20  are the reqd. integers.

By what is given,  x + ( x + 1 ) = 39 .

∴ 2 x + 1 =39.

∴ 2 x = 39 − 1 = 38 .

∴ x = 19 ,  so,  x + 1 = 20 .

Thus,  19 & 20  are the reqd. integers.