# Heather and Joel bought a house for $157,200 and know that the house appreciates every year. They keep track of their house value for 5 years and model their data with the exponential equation y = 150000(1.004)12t How much will their house be worth in 8 years? 2 months ago ## Solution 1 Guest #3222 2 months ago Heather and Joel bought a house for$157,200 and know that the house appreciates every year. They keep track of their house value for 5 years and model their data with the exponential equation y = 150000(1.004)12t How much will their house be worth in 8 years?

Solution:

Equation of the appreciation of the value of house is given by:-

We need to find the worth of the house after 8 years

So, that means time, t=8

Let us plug t=8 in the equation

So, we get,

y=150000*1.467021

y=220053.20

In 8 years the value appreciates to $220053.20, that s, worth of house after 8 years=$22005320

## Solution 2

Guest #3223
2 months ago

We have to find value of the house in 8 years so we will plug t=8 years in given equation.

Hence house will worth approx $220053.20 in 8 years. ## 📚 Related Questions Question Nancy wove a pot holder with a area of 80 square inches. The lengths and widths of the sides are whole numbers. Which dimensions make the most sense for a potholder? Explain Solution 1 The pairs of numbers that multiply up to 80 are (1, 80), (2, 40), (4, 20), (5,16), and (8,10). Since pot holders are normally close to squares, 8 by 10 makes the most sense Question A right triangle has one side, s, and a hypotenuse of 12 meters. Find the area of the triangle as a function of s. A) A(s) = 2s 144 - s2 B) A(s) = s 144 - s2 C) A(s) = 2s 12 - s2 D) A(s) = 12s 144 - s2 10) The base of a ladder is placed 5 feet away from a 13 foot tall wall. What is the minimum length ladder needed to reach the top of the wall (rounded to the nearest foot)? A) 12 ft B) 13 ft C) 14 ft D) 15 ft Solution 1 Part a) we know that area of triangle=b*h/2 b=s applying the Pythagoras theorem h²=12²-s²--------> h=√(144-s²) so A=(1/2)*s*√(144-s²) Part b) applying the Pythagoras theorem c²=a²+b² in this problem c is the minimum length ladder needed to reach the top of the wall a=5 ft b=13 ft so c²=5²+13²-----> c²=194--------> c=13.93 ft-------> c=14 ft the answer is 14 ft Question A right triangle has one side, s, and a hypotenuse of 12 meters. Find the area of the triangle as a function of s. A) A(s) = 2s 144 - s2 B) A(s) = s 144 - s2 C) A(s) = 2s 12 - s2 D) A(s) = 12s 144 - s2 10) The base of a ladder is placed 5 feet away from a 13 foot tall wall. What is the minimum length ladder needed to reach the top of the wall (rounded to the nearest foot)? A) 12 ft B) 13 ft C) 14 ft D) 15 ft Solution 1 Answer: A(s) = ; 10) c) 14ft Step-by-step explanation: Area of a triangle is: A = where: b is base of a triangle h is height of a triangle For this right triangle, it is known one side, s, and hypotenuse, 12. To determine the other side, we use Pythagoras Theorem: hypotenuse² = side² + side² x = To determine the Area of the right triangle as function of s: A = A = (s.x) A = . (s.) Therefore, the area of the right triangle is: A = . (s.) The ladder and the wall form a right triangle. The height of it is 13 ft, the base is 5ft and the hypotenuse is the length of the ladder. So, to find the minimum length, use Pythagoras Theorem: hypotenuse² = side² + side² h² = 13² + 5² h² = 169 + 25 h = h = 14 The minimum length the ladder has to have to reach the top is 14 ft. Solution 2 A(s) equals 1/2 s square root of 144 minus s squared.. As s and r are the sides and the area of the triangle are 1/2(s)(r) Question What is the ratio of 5 gallons blue paint to 9 gallons of yellow paint? Solution 1 Wouldn't you divide? If so, 5/9 = 0.6 Solution 2 The ratio would be 1:1.8 (1 to 1.8). This can be found by dividing 5 by 5 ( making the ratio say 1 to...) and dividing 9 by 5 giving you 1.8. Thus makin* the ratio 1:1.8 or 1 to 1.8. I hope this helps! Question Simplify x to the 5/8 over x to the 1/8 Solution 1 Question How many times are equal to 40000 pounds Solution 1 1 pound × 40,000 = 40,000 pounds. Please mark as brainliest. I really need it. Question Draw 8 lines that are between 1inch and 3 inches long Solution 1 This is not something we can really help you with, you'll have to do on your own paper. Just get a ruler and draw 8 different lines that measure 1-3 inches. Question I NEED HELP STAT PLZ PLZ PLZ Betty has between$40$and$50\$ pennies that she wants to arrange in a rectangular array. She notices she can arrange the pennies in three different ways without any gaps or spaces. However, if Betty adds two more pennies to her collection, she can only arrange the pennies in one way without any gaps or spaces: a straight line. How many pennies does Betty have?
Solution 1
If she adds two pennies, she can only arrange the pennies in a straight line.
A straight line is one penny wide. If she adds two pennies she ends up with a prime number of pennies.

Since she has between 40 and 50 pennies, she can have 41, 42, 43, 44, 45, 46, 47 ,48, or 49  pennies.

41 + 2 = 43 prime
42 + 2 = 44 not prime
43 + 2 = 45 not prime
44 + 2 = 46 not prime
45 + 2 = 47 prime
46 + 2 = 48 not prime
47 + 2 = 49 not prime
48 + 2 = 50 not prime
49 + 2 = 51 not prime

Only 43 and 47 are prime.
That means she has 41 or 45 pennies.
41 is prime, so it cannot be arranged in any other way than a straight line 1 by 41.
Let's look at 45.

45 = 3 * 3 * 5

45 = 9 * 5 = 3 * 15 = 45 * 1

She has 45 pennies.
Solution 2

.

Step-by-step explanation:

Question
What are the odds of picking an “s” in the word “footloose”?
Solution 1
1/9 of a chance to pick s
Question
A cone with radius 2 feet and height 8 feet is shown.
Solution 1
The correct question is
What is the volume of a cone (in cubic feet) with a radius of 2 feet and a height of 8 feet?

we know that
volume of a cone=(1/3)*pi*r
²*h
r=2 ft
h=8 ft
volume of a cone=(1/3)*pi*2²*8-----> 33.49 ft³

33.49 ft³

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