Lesson 2 Practice Problems
1. In 1990, the value of a home is $170,000. Since then, its value has increased 5% per
year.
a. What is the approximate value of the home in the year 1993?

Answers

Answer 1

Answer:

$3,400,000

Step-by-step explanation:

170,000/ 5% for the increase

170,000/ 5% = $3,400,000


Related Questions

Hester sells televisions. She earns a fixed amount for each television and an additional $15 if the buyer gets an extended warranty. If Hester sells 15 televisions with extended​ warranties, she earns $1,275. How much is the fixed amount Hester earns for each​ television?

Answers

Answer: [tex]\$ 70[/tex]

Step-by-step explanation:

Given

Hester get a fixed amount and an additional $15 for an extended warranty

Suppose x is the amount of fixed amount

for 15 television sale, the price is $1275

Thus, we can write

[tex]\Rightarrow 15(x+15)=1275\\\Rightarrow x+15=85\\\Rightarrow x=\$70[/tex]

Therefore, the fixed amount of television is [tex]\$70[/tex]

multiply:- 4a^2 - 6a + 5 by 3a + 2.
Ans it fast plz.​
i will mark u as brainliest.

Answers

Answer:

4a^2 + 9a + 10

Step-by-step explanation:

First we distribute

-4a^2 + (−6a) + (5)(3a) + (5)(2)

-4a^2 - 6a + 15a + 10

Then we combine like terms

4a^2 has no like terms, so it cannot be added onto anything else.

We add -6a to 15a

15a - 6a = 9a

4a^2 + 9a + 10

Answer:

Simplifying

(6a + -8)(4a2) = 0

Reorder the terms:

(-8 + 6a)(4a2) = 0

Remove parenthesis around (4a2)

(-8 + 6a) * 4a2 = 0

Reorder the terms for easier multiplication:

4a2(-8 + 6a) = 0

(-8 * 4a2 + 6a * 4a2) = 0

(-32a2 + 24a3) = 0

Solving

-32a2 + 24a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8a2'.

8a2(-4 + 3a) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 'a2' equal to zero and attempt to solve:

Simplifying

a2 = 0

Solving

a2 = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying

a2 = 0

Take the square root of each side:

a = {0}

Subproblem 2

Set the factor '(-4 + 3a)' equal to zero and attempt to solve:

Simplifying

-4 + 3a = 0

Solving

-4 + 3a = 0

Move all terms containing a to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 3a = 0 + 4

Combine like terms: -4 + 4 = 0

0 + 3a = 0 + 4

3a = 0 + 4

Combine like terms: 0 + 4 = 4

3a = 4

Divide each side by '3'.

a = 1.333333333

Simplifying

a = 1.333333333

Solution

a = {0, 1.333333333}

Step-by-step explanation:

Suppose that P(n) is a propositional function. Determine for which nonnegative integers n the statement P(n) must be true if a) P(0) is true; for all nonnegative integers n, if P(n) is true, then P(n 2) is true. b) P(0) is true; for all nonnegative integers n, if P(n) is true, then P(n 3) is true. c) P(0) and P(1) are true; for all nonnegative integers n, if P(n) and P(n 1) are true, then P(n 2) is true. d) P(0) is true; for all nonnegative integers n, if P(n) is true, then P(n 2) and P(n 3) are true

Answers

Solution :

a). [tex]$P(0)$[/tex] is true

Then ,[tex]$P(0+2)=P(2)$[/tex] is true.

         [tex]$P(2+2)=P(4)$[/tex] is true

          [tex]$P(4+2)=P(6)$[/tex] is true.

Therefore, we see that [tex]$P(n)$[/tex] is true for all the even integers : [tex]$\{0, 2,4,6,...\}$[/tex]

b). [tex]$P(0)$[/tex] is true

Then ,[tex]$P(0+3)=P(3)$[/tex] is true.

         [tex]$P(3+3)=P(6)$[/tex] is true

          [tex]$P(6+3)=P(9)$[/tex] is true.

Therefore, we see that [tex]$P(n)$[/tex] is true for all the multiples of 3 : [tex]$\{0, 3,6,9,12,...\}$[/tex]

c). [tex]$P(0)$[/tex] and [tex]$P(1)$[/tex] is true, then [tex]$P(0+2)=P(2)$[/tex] is true

[tex]$P(1)$[/tex] and [tex]$P(2)$[/tex] is true, then [tex]$P(1+2)=P(3)$[/tex] is true.

[tex]$P(2)$[/tex] and [tex]$P(3)$[/tex] is true, then [tex]$P(2+2)=P(4)$[/tex] is true.

So, we observe that  [tex]$P(n)$[/tex] is true for all the non- negative integers : [tex]$\{0, 1,2,3,4,5,6,...\}$[/tex].

d). [tex]$P(0)$[/tex] is true,

   So, [tex]$P(0+2)$[/tex] and [tex]$P(0+3)$[/tex] is true or [tex]$P(2)$[/tex] and [tex]$P(3)$[/tex] is true.

   Now,   [tex]$P(2)$[/tex] is true.

Again, [tex]$P(2+2)$[/tex] and [tex]$P(2+3)$[/tex] is true or [tex]$P(4)$[/tex] and [tex]$P(5)$[/tex] is true.

   Now, [tex]$P(3)$[/tex] is true.

Again, [tex]$P(3+2)$[/tex] and [tex]$P(3+3)$[/tex] is true or [tex]$P(5)$[/tex] and [tex]$P(6)$[/tex] is true.

Thus,

[tex]$P(n)$[/tex] is true for all the non- negative integers except 1 : [tex]$\{0, 2,3,4,5,6,...\}$[/tex].

A back account pays an interest rate of 6% every 1 year. You deposit $5000 into the account. How much money will you have in 5 years?

A. $7092
B. $3449
C. $3670
D. $6691

Answers

Answer:

C:  $6691

Step-by-step explanation:

This problem is one in compound interest.  The general formula is shown below.  The principal, P, is $5000, the annual interest rate, r, is 0.06 (expressed as a decimal fraction), and the number of years, t, is 5 years:   A represents the Amount after 5 years:

A = P(1 + r)^t becomes A = ($5000)(1 + 0.06)^5, or

A  = (5000)(1.06)^5 = $6691.12 (Answer D)

can someone help me with the picture I put above please

Answers

Answer:

9

Step-by-step explanation:

3x+8=35

3x=27

x=9

It’s A because 3x9 is 27 and then plus 8 is 35

Roy made 7 identical sundaes using 5 pints of ice cream. How much ice cream did Roy use for each sundae?

Answers

5/7 pints of ice cream each

find the value of given expression

[tex] \sqrt{300 \times 3} [/tex]

Answers

Answer:

√(300×3)=√900=√30²=±30 is your answer

Solve the system of linear equations by substitution for x and y

1. X+y=7
Y=-3

2. 3x+4y=-10
X=-3y

Answers

Answer:

(10,5)

Step-by-step explanation:

●x+(-3)=7

x=7+3

x=10

●3x+4y=-10

3(-3y)+4y=-10

-6y+4y=-10

-2y=-10

y=5

pls help ill give brainliest. the red isnt part of it was just how it was screenshot.
Find the area of a circle with 7cm radius .
Use the value 3.14 for π, and do not round your answer.
Be sure to include the correct unit in your answer.

Answers

Answer:

153.9

Step-by-step explanation:

hope it helps

The weather forecast was calling for 8 inches of snow. It actually only snowed 2 1/4 inches. How far off was the forecast’s prediction?

Answers

5 3/4
blah blah blah blah blah

From 99° to 70°f what is the percent decrease

Answers

Answer:

should be -29.29 %

Step-by-step explanation:

Answer:

29.(29)%

Step-by-step explanation:

Yolonda withdrew 60 dollars from her checking account.Write a signed number to represent this change in her account.

Answers

Answer:

$ 60.00

Step-by-step explanation:

.

You are putting money into a bank account. You start with $100 and add $12 every month. The total amount of money in your account can be represented by the following equation. (where T is total amount and M is the number of months):
T = 100 + 12 M

If you have $208, how many months have passed?

Show the equation and how you got the answer.

Answers

The answer would be 9 months. 9x12=108 so that would be 100+108= 208

100

Add 12 every month

Ex: 100 + 12

100 + 12 + 12+ 12+ 12+ 12+ 12+ 12+ 12+ 12

It wound not be 100 x 9 because 100 x 9 is 900

Therefore 9 months

9 x 12 = 108

so that would be 100+108= 208

Hope this helps~

Please help me please help ASAP this is really really important

Answers

Answer:

3rd. 1

Step-by-step explanation:

5x – 9 > 8 + 5x Find the solution set:​

Answers

Answer:

Here you go, it's In the attachment

the scale factor is 1 : 87. If the diameter of a wheel on a model train is 0.3 inch, what is the diameter of the actual wheel?

Answers

Answer:

26.1

Step-by-step explanation:

Consider 0.3 as 1. Now multiply 0.3 by 87.

A TV station executive is planning the new lineup for next season's shows. On Monday nights, there will be 6 sitcoms and 6 dramas, for a total of 372 minutes of programming, not counting commercials. On Tuesday nights, he has scheduled 2 sitcoms and 6 dramas, for a total of 288 minutes of non-commercial programming. All sitcoms have the same length and all dramas have the same length. How long is each type of show?

Answers

Answer:

x = length of sitcoms = 21 minutes

y = length of dramas = 42 minutes

Step-by-step explanation:

Let

x = length of sitcoms

y = length of dramas

6x + 6y = 372 (1)

2x + 6y = 288 (2)

Subtract (2) from (1) to eliminate y

6x - 2x = 372 - 288

4x = 84

x = 84/4

x = 21

Substitute x = 21 into (1)

6x + 6y = 372

6(21) + 6y = 372

126 + 6y = 372

6y = 372 - 126

6y = 246

y = 246/6

y = 41

x = length of sitcoms = 21 minutes

y = length of dramas = 42 minutes

Can y’all guys give me a list websites to wach anime on that are not bloked by the school cause please thank u

Answers

Answer:

it depends on what your school district restricts

Step-by-step explanation:

please help me ! thank you

Answers

Answer:

57

Step-by-step explanation:

3 * 3 * 3 = 27 +       5*6 =30   27+30=57

Hope this helps!

Answer:

c.57

Step-by-step explanation:

.3^3= 27

.and 5 (6)=30

27+30=57

remember to use pemdas!! (parenthesis, exponents, multiplication/division, addition/subtraction)

Help me fast I have 30 min to finish the testtt!!!!!!!!!

Answers

B and D
Hope this helps(just for word count lol)

Are the ratios 15:12 and 6:4 equivalent?

Answers

Answer:

No

Step-by-step explanation:

To get to 12 from 4 you'd have to multiply by 3 but, if you multiply 6 by 3 you get 18, not 15.

No they are not equivalent

Please helpppppp!!!!!!!!

Answers

Answer:

a, cube

Step-by-step explanation:

Suppose a fair coin is tossed and the spinner below is spun one time. What is the probability of flipping heads and spinning a number greater than 2?

Answers

Answer:

3

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

Needed ASAP for tonight, 10 quick homework questions
30 points and a brainly (see attached picture)

Answers

17:80n power of 2+60n+10

Hello, this isn't really a question, but a tip!
So if your trying to find a perfect square and you given 225 you would just find the square root and if its a whole number then its a perfect square. If your asked to find the number that would make the perfect square that is asked for, you would take each number and multiply it by it self and then you can find your perfect square!!

Answers

Answertank cu

Step-by-step explanation:

Answer:

Ok, thanks for the tip you give keep safe.

ryan has some donuts he takes 5 away

d - 5 = ?

Answers

Answer:

2

Step-by-step explanation:

Which rules define the function graphed below?

Please help. I’ll give extra points and brainliest for a real answer

Answers

Answer:

y=x+2; y=5

Step-by-step explanation:

Answer:

y=x+2; y=5

Step-by-step explanation:

got it right on the quiz

Each side of a square sandbox is 36 inches long. What is the area of the sandbox

Answers

Answer: 1296 inches

Explanation:

Given: Side of sandbox = 36 inches
To Find: Area of sandbox
Area of square sandbox = s*s
= 36*36
= 1,296 inch

Hope it helps you...

The area of the square sandbox is 1,296 square inches

What is  area of square?

The area of a square is the measure of the space or surface occupied by it. It is equal to the product of the length of its two sides. Since the area of a square is the product of its two sides, the unit of the area is given in square units.

Area of a square = Side × Side

                            =  [tex]Side ^{2}[/tex]

According to the question

Side of a square sandbox =  36 inches

Therefore,

The area of the square sandbox =  [tex]Side ^{2}[/tex]

                                                      =  [tex](36)^{2}[/tex]

                                                      =  1,296 square inches

Hence, the area of the square sandbox is 1,296 square inches

To  know more about area of square here:

https://brainly.com/question/1658516

#SPJ2

To prepare for a party, Jada poured 0.45 liter of juice into each of several cups. Altogether she poured 9 liters of juice into the cups. How many cups did Jada fill? H e l p please :)

Answers

Answer:

20 cups

Step-by-step explanation:

Jada poured 0.45 liters of juice into several cups

9 liters was poured into each cup

Therefore the number of cups that Jada will fill up in the party can be calculated as follows

= 9/0.45

= 20

Hence Jada will fill up 20 cups

thank you lol i’m not smart sorry

Answers

Answer: 65

Step-by-step explanation: Sum of angles in triangles is always 180, we know one angle is 25 and another is 90, so 25 + 90 = 115, then 180 - 115 = 65.

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