Elias purchases a home for $38,900. The value of the home, in thousands of dollars, since his purchase is shown in the table. A 2-column table with 6 rows. The first column is labeled years since purchase with entries 0, 5, 10, 15, 20, 25. The second column is labeled value (thousands of dollars) with entries 38.9, 62.4, 89.3, 145.2, 210.8, 326.5. Find an exponential function that models the data. Round numerical values to the nearest hundredth. Let x be the number of years since the purchase. The function f(x) = ( )x models the data. Use the model to predict the home’s value. After 12 years, the home’s value will be about $ thousand. After 35 years, the home’s value will be about $ thousand.

Answer:

-1

Step-by-step explanation:

Answer:

(x^3 +8)/(x+2) = x^2 -2x +4

Step-by-step explanation:

Answer:

exponential decay

Step-by-step explanation:

the y coordinates are getting smaller while x gets bigger so for 1x y is .5 then .25 then .125 etc..

Answer:

[tex]3d^2+ 7d- 7[/tex]

Step-by-step explanation:

Given

[tex]P_1 = 5d^2 + 4d - 3[/tex]

[tex]P_2 = 2d^2 - 3d + 4[/tex]

Required

P1 less P2

This means that we subtract P2 from P1.

So, we have:

[tex]P_1 - P_2 = 5d^2 + 4d - 3 - (2d^2 - 3d + 4)[/tex]

Remove bracket

[tex]P_1 - P_2 = 5d^2 + 4d - 3 - 2d^2 + 3d - 4[/tex]

Collect like terms

[tex]P_1 - P_2 = 5d^2 - 2d^2+ 4d + 3d- 3 - 4[/tex]

[tex]P_1 - P_2 = 3d^2+ 7d- 7[/tex]

The difference is: [tex]3d^2+ 7d- 7[/tex]

Answer:

x = 15

z = 25

Step-by-step explanation:

In [tex] \odot\: O, \: \angle MLK [/tex] is inscribed in a semicircle.

[tex] \therefore m\angle MLK =90\degree [/tex]

[tex] \therefore 6x\degree =90\degree [/tex]

[tex] \therefore 6x =90[/tex]

[tex] \therefore x =\frac{90}{6}[/tex]

[tex] \therefore x =15[/tex]

In [tex] \odot\: A, \: \angle PRQ[/tex] is inscribed in a semicircle.

[tex] \therefore m\angle PRQ =90\degree [/tex]

[tex] \therefore (4z-10)\degree =90\degree [/tex]

[tex] \therefore 4z-10 =90[/tex]

[tex] \therefore 4z =100[/tex]

[tex] \therefore z =\frac{100}{4}[/tex]

[tex] \therefore z =25[/tex]

Answer:

C. 27

Step-by-step explanation:

If ther are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.

so... 9*5=45

and you do the sane with the cats

9*3=27 therefore the answer is 27.

Answer:

C. 27

Step-by-step explanation:

If there are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.

so... 9*5=45

and you do the same with the cats

9*3=27 therefore the answer is 27.

Answer:

the First One By Adding Four

The Second One Add Five And Two

The Third Add Two And Substract Four

Answer:

the answer is 1 because the power of any no. 0 is always 1

Answer:

The popsicle stick is 11 and 6/10 inches and 4.9 centimeters.

The pencil is 7 and 3/10 inches and 2.14 centimeters.

The paperclip is 6 and 3/10 inches and 2.8 centimeters.

Step-by-step explanation:

Just look at where the red dotted lines are

hope this helps

Answer:

6

Step-by-step explanation:

Answer:

-384

Step-by-step explanation:

Solve for each function first.

g(-5) = 3(-5) - 1

g(-5) = -16

f(-5) = -5^2 + 1

f(-5) = -24

Multiply.

(fg)(-5) = (-16 x -24)

(fg)(-5) = -384

Not entirely sure if this is correct but this seemed the most obvious way to do it so I did it. Let me know if I'm wrong.

Answer:

176

Step-by-step explanation:

88 * 2 = 176

Answer:

630 ft

Step-by-step explanation:

(11 * 15) * 2 = 330 ft

(5 * 15) * 4 = 300 ft

330 + 300 = 630 ft

Answer:

1/2

Step-by-step explanation:

8x+2y=4

To find x-intercept say y=0 and solve the equation.

8x+2(0)=4

8x=4

x=4/8

x=1/2

Answer: 6625 sqaure yards

Step-by-step explanation:

Area for a trapezoid formula is A=(base 1 + base 2)·height÷2

So base one is 120 and base two is 10+120+15=145

and the height is 50 so (120+145)·50÷2=6625 The area for the trapezoid is 6625

Answer:

The monthly loan payment is of $458.88.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Amount owed after 5 years:

Loan of 24000 means that [tex]P = 24000[/tex]

5 years means that [tex]t = 5[/tex]

Interest rate of 2.75% means that [tex]r = 0.0275[/tex]

Compounded monthly means that [tex]n = 12[/tex]

The amount is A(5). So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(5) = 24000(1 + \frac{0.0275}{12})^{12*5}[/tex]

[tex]A(5) = 27533[/tex]

What is your monthly loan payment?

$27,533 in 5 years = 5*12 = 60 months. So

27533/60 = 458.88

The monthly loan payment is of $458.88.

Answer:

X= 5

Y= 2

Y-X= 2-5= -3

Answer:

a) The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

b) The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.3}{\sqrt{451}} = 0.305[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.305 = 7.435 hours

The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.305 = 8.045 hours.

The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

Question b:

90% confidence interval means that [tex]Z = 1.645[/tex]

The margin of error is:

[tex]M = 1.645\frac{21.96}{\sqrt{451}} = 1.701[/tex]

43.78 - 1.701 = 41.079%

43.78 + 1.701 = 45.481%

The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

Answer:

Angle BOD = 75⁰

Step-by-step explanation:

Answer attached...

Hope it helps :)

Answer:

yes sir/ma'am omw

Step-by-step explanation:

have a great evening

Answer:

38.8%

Step-by-step explanation:

This is a very famous computer solution called the Monte Carlo Method. It's like throwing darts at an enlarged diagram. You will always be inside the circle.

The red triangle has an area = 1/2 h * b

The red triangle has an area = 1/2 * (2.5 + 4) * (3 + 3)

The red triangle area = 1/2 6.5 * 6

The red triangle area = 19.5

The area of the circle = pi * r^2

pi = 3.14

r = 4

The area of the circle = 3.14 * 4^2

The area of the circle = 50.24

% = (19.5/50.25) * 100

% = 38.8%

Answer: Hewo, there! your Answer is Below

18.2 Would be your answer rounded to the nearest tent the Orignal Answer was 18.24

Step-by-step explanation:

Hope this Helps you!!!

Have a great day!!!

Answer: thier salaries are $5000 and $5500

Step-by-step explanation:

Let the average weekly salary of one employee be =x

And that of the other employee be = x+500

Such that if thier average of their salaries= $5250

So, their total salary=  $5250 x 2=10,500

The  equation  to solve each employee salary becomes

x+x+500=10,500

2x+500=10,500

2x=10,500-500

2x=10,000

x=10,000 /2

x= first employee salary =$5000

second employee =   x+500 =$5500

Answer:

1. y = -2x+5

2. y = 3/4 - 3

3. intercept = -5 slope =  4/3

4. intercept = 1 slope = -1/2

Answer: 24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

For the least common denominator, we have to find the smallest number that all fo them multiply to.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26

3, 6, 9, 12, 15, 18, 21, 24, 27, 30

8, 16, 24, 32

i think we can see something

24 is the most common number between them all, so the fractions will be

12/24 (1/2), 16/24 (2/3), and 9/24 (3/8)

Answer:

no sé amigo Thu tcug

Step-by-step explanation:

v8ftuuurk

Answer:

4 feet

Step-by-step explanation:

MN/RT=MO/RS

6/3=8/RS

6RS=24

RS=24/6

RS=4

SORRY IF LATE AND WRONG!!!