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2 months ago

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

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.

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

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 f**t

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

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!

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.

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

**Answer:**

.

**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?

Use 3.14 for π. Round your answer to the nearest hundredth

we know that

volume of a cone=(1/3)*pi*r²*h

r=2 ft

h=8 ft

volume of a cone=(1/3)*pi*2²*8-----> 33.49 ft³

**the answer is**

**33.49 ft³**

What is the volume of a cone (in cubic feet) with a radius of 2 feet and a height of 8 feet?

Use 3.14 for π. Round your answer to the nearest hundredth

we know that

volume of a cone=(1/3)*pi*r²*h

r=2 ft

h=8 ft

volume of a cone=(1/3)*pi*2²*8-----> 33.49 ft³

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