The correct inequality is: C. $114,840.00(1 + 0.04)^2 > $115,362.00.
It correctly applies compound interest to determine when the house value exceeds $114,840.00.
To determine the number of years [tex](\( f \))[/tex] after purchase that the value of Isaac's house will be more than $114,840.00, we can use the formula for compound interest.
The formula for compound interest is given by:
[tex]\[ A = P(1 + r)^n \][/tex]
Where:
- A is the future value of the investment/asset.
- P is the initial principal amount (the initial value of the investment/asset).
- r is the annual interest rate (expressed as a decimal).
- n is the number of years the asset is invested for.
In this case:
- [tex]\( P = \$104,400.00 \)[/tex] (the initial value of the house).
- r = 0.04 (the annual rate of increase, which is 4% expressed as a decimal).
- We want to find the value of n when [tex]\( A > \$114,840.00 \)[/tex].
So, the inequality to represent this scenario is:
[tex]\[ \$114,840.00 < \$104,400.00(1 + 0.04)^n \][/tex]
Now, let's compare this inequality with the options provided:
A. [tex]\( \$114,840.00(1 + 0.04)^{n+1} > \$115,362.00 \)[/tex] - This option is incorrect because it uses [tex]\( n + 1 \) instead of \( n \)[/tex] in the exponent.
B. [tex]\( \$114,840.00(0.04)^2 > \$115,362.00 \)[/tex] - This option is incorrect because it uses [tex]\( (0.04)^2 \)[/tex] instead of [tex]\( (1 + 0.04)^n \)[/tex].
C. [tex]\( \$114,840.00(1 + 0.04)^2 > \$115,362.00 \)[/tex] - This option is correct. It uses the correct formula for compound interest and compares it to the threshold value of [tex]\$114,840.00[/tex].
D. [tex]\( \$114,840.00(1 - 0.04)^2 > \$115,362.00 \)[/tex] - This option is incorrect because it uses [tex]\( (1 - 0.04)^2 \) instead of \( (1 + 0.04)^n \).[/tex]
Therefore, the correct inequality is option C:
[tex]\[ \$114,840.00(1 + 0.04)^2 > \$115,362.00 \].[/tex]
Correct question is:
Isaac purchased a house for $104,400.00.
Every year, Isaac makes improvements so that the value of the house goes up by 4% Which of the following inequalities can be used to determine the number of years after purchase, f, that the value of Isaac's house will be more than $114,840.00?
[tex]A. $114,840.00(1+0.04)^r+1 > $115,362.00[/tex]
[tex]B. $114,840.00(0.04)^2 > $115,362.00[/tex]
[tex]C. $114,84000(1+0.04)^2 > $115,362.00[/tex]
[tex]D. $114,84000(1-0.04)^2 > $115,362.00[/tex]
Which of these shapes os an obtuse isosceles triangle
Triangle in option A is an obtuse isosceles triangle.
What is an isosceles triangle?Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.
An isosceles obtuse triangle is a triangle in which one of the three angles is obtuse (lies between 90° and 180°), and the other two acute angles are equal in measurement.
The following is a list of the isosceles obtuse triangle's characteristics:
It has two acute angles and two equal sides on either side of them.The other two angles are sharp angles, each smaller than 45 degrees, and one of the angles is between 90° and 180°.The side opposing the obtuse angle is the largest side of an obtuse isosceles triangle.The largest side is the one that faces the obtuse angle. To put it another way, the largest side of an isosceles obtuse triangle is the unequal side.The total interior angles come to 180 degrees.One example of isosceles obtuse triangle angles is 30°, 30°, and 120°.
Therefore, triangle in option A is an obtuse isosceles triangle.
To learn more about an isosceles triangle visit:
https://brainly.com/question/10147636.
#SPJ5
The ratio of boys to girls at a school is 12 to 13. If 300 students attend the school, how many are boys?
144
277
156
25
Answer: 144
Step-by-step explanation:
Answer:
144
Step-by-step explanation:
12 divides into both
What is the expression of 5x-3(x-2)-x
Answer:
It simplifies to x+6.
Step-by-step explanation:
First, use the distributive property.
5x-3x+6-x
Now, combine like terms.
2x+6-x ---> x+6
A store is having a sale on jelly beans and almonds. For 6 pounds of jelly beans and 2
pounds of almonds, the total cost is $16 . For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $13. Find the cost for each pound of jelly beans and each pound of almonds.
The cost of each pound of jelly beans is $ 2.25 and cost of each pound of almond is $ 1.25
Solution:
Let the cost of each pound of jelly beans is "a"
Let the cost of each pound of almond is "b"
For 6 pounds of jelly beans and 2 pounds of almonds, the total cost is $16
Therefore, we frame a equation as:
6 pounds of jelly beans x cost of each pound of jelly beans + 2 pounds of almonds x cost of each pound of almond = 16
[tex]6 \times a + 2 \times b = 16[/tex]
6a + 2b = 16 --------- eqn 1
For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $13
Therefore, we frame a equation as:
3 pounds of jelly beans x cost of each pound of jelly beans + 5 pounds of almonds x cost of each pound of almond = 13
[tex]3 \times a + 5 \times b = 13[/tex]
3a + 5b = 13 ----------- eqn 2
Let us solve eqn 1 and eqn 2
Multiply eqn 2 with 2
6a + 10b = 26 --------- eqn 3
Subtract eqn 1 from eqn 3
6a + 10b = 26
6a + 2b = 16
( - ) -------------------------
8b = 10
[tex]b = \frac{10}{8} = 1.25[/tex]
b = 1.25Substitute b = 1.25 in eqn 1
6a + 2(1.25) = 16
6a + 2.5 = 16
6a = 13.5
a = 2.25Thus cost of each pound of jelly beans is $ 2.25 and cost of each pound of almond is $ 1.25
Is 25/176 a repeating or terminating decimal
It repeats since it can't be simplified.
Broccoli costs $1.50 per pound at a store. How much money does 32
ounces of broccoli cost?
Answer:
2 pounds
Step-by-step explanation:
Answer:$3
Step-by-step explanation:32 ounces is equal to 2 pounds. 1.50 times 2
i am faceing north west. if i turn 180 clockwise i will be facing what
Answer:
south
Step-by-step explanation:
it’s half way turn because 180 is half of one 360 and north is right across from south:)
Answer:
South
Step-by-step explanation:
You will be facing south because if you are facing north and you turn 90 clockwise you will face east. Turn 90 degrees again and you'll face south.
Consider these three numbers written in scientific notation: 6.5 × 103, 5.5 × 105, and 1.1 × 103. Which number is the greatest, and by how many times is it greater than the smallest number?
A.
The greatest number is 5.5 × 105. It is 5 times greater than the smallest number.
B.
The greatest number is 6.5 × 103. It is 50 times greater than the smallest number.
C.
The greatest number is 5.5 × 105. It is 500 times greater than the smallest number.
D.
The greatest number is 6.5 × 103. It is 5,000 times greater than the smallest number.
E.
The greatest number is 5.5 × 105. It is 5,000 times greater than the smallest number.
Answer: C.
Step-by-step explanation: The greatest number is 5.5 × 105. It is 500 times greater than the smallest number.
This is the correct answer on the test!
The correct option is c. The greatest number is 5.5 × 105. It is 500 times greater than the smallest number.
Given information:Consider these three numbers written in scientific notation: 6.5 × 103, 5.5 × 105, and 1.1 × 103.
Calculation of the number:The greatest number should be 5.5 × 105 and this should be 500 times more as compared to the smallest number.
Learn more about the number here: https://brainly.com/question/19270423
PLEASE HELP ME!! 20 PTS TO ANSWER Write a linear equation that contains the ordered pair shown in the table below:
y = -2x + 1
y = 2x + 1
y = 2x - 1
y = -2x -1
Answer:
y=2x+1 is the correct answer
A fish tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320 pi cubic feet. What is the radius, in feet, of the fish tank?
A. 16
B. 10
C. 8
D. 4
Answer:
4 feet
Step-by-step explanation:
From the question, we are given;
Height of the cylinder as 20 ft Volume of the cylinder as 320 piWe are required to find the radius of the cylinder fish tank;
We need to know that the volume of a cylinder is given by;Volume = pi × r² × h
Rearranging the formula;
r² = V ÷ pi × h
Therefore;
r² = 320 pi ÷ (pi × 20 ft)
= 16
Thus;
r = √16
= 4 ft
Therefore, the radius of the fish tank is 4 feet.
y=6x-10=x-4 what is x
Answer:
x=6/5
Step-by-step explanation:
y=6x-10
y=x-4
-----------
6x-10=x-4
6x-x-10=-4
5x-10=-4
5x=-4+10
5x=6
x=6/5
y=6/5-4=6/5-20/5=-14/5
A=1/2bh. A=200ft. H=10. What is b
Answer:
B= [tex]\frac{2A}{H}[/tex]
Step-by-step explanation:
If you noticed, A= [tex]\frac{1}{2}[/tex]BH is the formula for finding the area for a triangle. Your goal is to get B by it's self. Your first step will be to clear of the fraction first, so you will multiply both sides by 2. 2(A)=2([tex]\frac{1}{2}[/tex]BH). On the left, you have 2×A= On the right side, you have 2([tex]\frac{1}{2}[/tex]BH), but since you have a number in the equation, you will only use 2×[tex]\frac{1}{2}[/tex]. To solve 2×[tex]\frac{1}{2}[/tex], you will cnacel out both 2's and you have 1. 1×BH will still equal BH, so you are now left will B×H.
(Your new equation looks like this by the way). 2A=BH
Since you need to get B by its self, the way to clear the H away from the B is by dividing. You will now divide the B and H aswell as 2A and H. (It will look like this) [tex]\frac{2A}{H} = \frac{BxH}{H}[/tex] . (Again when you have the same number or letter, you cross it out. When you divide, you won't change anything on the left side, and all you have to do on the right id to cross out the H next to the B and cross out the H on the bottom of the equation). You should be left with [tex]\frac{2A}{H}[/tex] = B. Now you can turn it around for your final answer. B= [tex]\frac{2A}{H}[/tex].
Please let me know if i helped, how I did, and if you have any questions.
What time is past 13 hours past 1:00 am
Answer:
Therefore the answer is 14:00 hours or we can also write this as
14:00 - 12:00 = 2 : 00 pm.
Step-by-step explanation:
13 hours past 1:00 am is equal to 13 + 1 = 14.
Therefore the answer is 14:00 hours or we can also write this as
14:00 - 12:00 = 2 : 00 pm.
Answer: That would be 2.00 P.M
Step-by-step explanation:
During a bake sale 1 1/2 dozen cookies were sold in 1/3 of an hour. What is the unit rate for the dozens of cookies sold in an hour
Answer:
4.5 dozen cookies per hour
Step-by-step explanation:
I just had my sister help me and she said this was the answer but didnt tell me how she got it.LOL
40. Danielle's living room is a rectangle with the dimensions 16 feet
by 18 feet. If she partially covers the bare floor with a circular
throw rug with a diameter of 12 feet, what is the approximate
area of bare floor, in square feet, that remains exposed?
(Note: Assume the rug lies completely flat and does not touch
any wall.)
F. 113
G. 144
H. 175
J. 288
K. Cannot be determined without knowing the exact position
of the rug
Answer:
wanna be my friend cause you seem cool
Step-by-step explanation:
Can someone explain I’m confused on how to do this my teacher can’t teach me this has no time
Answer:
A is 3 B is 4 n C is 25
Step-by-step explanation:
bra it ez r u a 6th grader
Answer:
1)
The factors of 9 are: 1, 3, 9
The factors of 15 are: 1, 3, 5, 15
Then the greatest common factor is 3.
2)
The factors of 16 are: 1, 2, 4, 8, 16
The factors of 28 are: 1, 2, 4, 7, 14, 28
Then the greatest common factor is 4.
3)
The factors of 50 are: 1, 2, 5, 10, 25, 50
The factors of 75 are: 1, 3, 5, 15, 25, 75
Then the greatest common factor is 25.
It takes 54 minutes for 4 people to paint 6 walls. How many minuets does it take 6 people to paint 7 walls?
It takes 42 minutes for 6 people to paint 7 walls
Solution:
It takes 54 minutes for 4 people to paint 6 walls
To find: Minutes required for 6 people to paint 7 walls
If [tex]M_1[/tex] men can do [tex]W_1[/tex] work in [tex]D_1[/tex] days working [tex]H_1[/tex] hours per day and [tex]M_2[/tex] men can do [tex]W_2[/tex] work in [tex]D_2[/tex] days working [tex]H_2[/tex] hours per day, then
[tex]\frac{M_1D_1H_1}{W_1} = \frac{M_2D_2H_2}{W_2}[/tex]
M = Number of men
D = Number of days
H = Number of hours per day
W = Amount of work
Here in this sum,
54 minutes for 4 people to paint 6 walls
[tex]H_1 = 54 minutes ; M_1 = 4 people ; W_1 = 6 walls[/tex]
Minutes required for 6 people to paint 7 walls
[tex]H_2 = ? ; M_2 = 6 people ; W_2 = 7 walls[/tex]
Substituting the values in formula, we get
[tex]\frac{54 \times 4}{6} = \frac{H_2 \times 6}{7}\\\\9 \times 4 = \frac{H_2 \times 6}{7}\\\\H_2 = \frac{36 \times 7}{6}\\\\H_2 = 42[/tex]
Thus it takes 42 minutes for 6 people to paint 7 walls
on a test 45% of the questions are related to science . what fraction of the questions on the test are science related. This is a math question
Step-by-step explanation:
45 % = 0.45 =
[tex] \frac{9}{20} [/tex]
Answer: I believe its 9/20
1700/85 in simplest form
Answer:20
Step-by-step explanation:
What is the area of the rectangle, in square centimeters?
A rectangle with length 12 centimeters and width 5 centimeters.
17
34
30
60
Answer:
The answer is 60 this is because in order yo get area you have to times the length by width
Step-by-step explanation:
For his coffee shop, Abdul wants to make a mocha-java blend that will sell for $18/kg. The mocha coffee beans sell for $20/kg, and the java coffee beans sell for $15/kg. How many kilograms of each kind of coffee bean should he use to make 50 kg of the mocha-java blend?
30 kg of mocha coffee bean and 20 kg of java coffee bean should be used to make 50 kg of mocha java blend that will sell for $ 18 per kg
Solution:
Let "x" be the kilogram of mocha coffee beans
Let "y" be the kilogram of java coffee beans
Cost of 1 kg of mocha coffee bean = $ 20
Cost of 1 kg of java coffee bean = $ 15
Kilograms of each kind of coffee bean should he use to make 50 kg of the mocha-java blend
Cost of 1 kg of mocha java blend = $ 18
From given information,
Mocha coffee beans and java coffee beans are mixed to get 50 kg of blend
Therefore,
[tex]x + y = 50 ------------ eqn 1[/tex]
Abdul wants to make a mocha-java blend that will sell for $18/kg
Therefore, we frame a equation as:
(kilogram of mocha coffee beans) x (Cost of 1 kg of mocha coffee bean) + (kilogram of java coffee beans) x (Cost of 1 kg of java coffee bean) = Cost of 1 kg of mocha java blend x 50 kg
Thus we get,
[tex]x \times 20 + y \times 15 = 18 \times 50\\\\20x+15y = 900 ------------ eqn 2[/tex]
Let us solve eqn 1 and eqn 2
From eqn 1,
x = 50 - y -------- eqn 3
Substitute eqn 3 in eqn 2
20(50 - y) + 15y = 900
1000 - 20y + 15y = 900
5y = 100
y = 20Substitute y = 20 in eqn 3
x = 50 - 20
x = 30Thus 30 kg of mocha coffee bean and 20 kg of java coffee bean should be used to make 50 kg of mocha java blend that will sell for $ 18 per kg
We need to set and solve a system of equations, with the variables representing the weights of mocha and java coffee in the blend. Solving the system yields the number of kilograms needed.
Explanation:To solve your problem, Abdul, we will use the concept of weighted averages. We'll need two equations. Let's denote the weight of the mocha coffee in the mix by x kg and the weight of java coffee by y kg. From the problem's requirements, we get these two equations:
x + y = 5020x + 15y = 18*50.Now, the goal is to solve this system of equations. You can do that by, for example, substituting x = 50 - y in the second equation and solving for y. Then, substitute y's value back into the first equation to get x.
The solution to this system will give you the weights of mocha and java coffee beans needed to make your desired blend.
Learn more about Weighted averages here:https://brainly.com/question/36895489
Which shows the prime factorization of 36?
A.) 2 x 2 x 2 x 3
B.) 2 x 2 x 3 x 3
C.) 2 x 2 x 9 x 1
D.) 2 x 3 x 3 x 3
Thanks, after TWO people answer I will pick the best answer and give brainlest, don't bug me for it in your answer please!
Answer:
the answer is b.)
Step-by-step explanation:
2×2=4×3=12×3=36
Find the coordinates of the midpoint of the line segment with the endpoints C(1,0) and D(5,4)
Answer:
(3, 2 )
Step-by-step explanation:
Given the endpoints are (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) [
Here (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (5, 4), thus
midpoint = [0.5(1 + 5), 0.5(0 + 4) ] = (0.5(6), 0.5(4)) = (3, 2 )
Answer:
(3,2)
Step-by-step explanation:
To find a midpoint of two given points, we can use the formula:
[tex](x_{m} ,y_{m} ) = (\frac{x_{1} +x_{2} }{2} , \frac { y_{1} +y_{2}}{2})[/tex]
(i.e. we just take the average of the x coordinates, and similarly, the average of the y coordinates).
so we get:
midpoint = ( (1+5)/2, (0+4)/2 )
= (3, 2)
jason bought 5 balloons . each balloon cost $.95 . how much did he pay altogether
Answer:
4.75
Step-by-step explanation:
5 times $.95. equals $4.75
To find the total cost of the balloons we can multiply.
0.95 * 5 = $4.75
Best of Luck!
Telling of a classroom is 32 feet. The width is 75% of the lengt. Find the area of the classroom in square feet
Answer:
768 Square Feet
Step-by-step explanation:
32(.75) = 24
24 × 32 = 768
Need help with ixl please give right answer fill in the blanks please
Answer:
y=2x-8
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept value.
It says the slope is 2, so we know that y = 2x+b. To find b, plug in a point given. We are given (9,10), so plug that into the equation, where y = 10 and x = 9. 10=2(9)+b, solve for b.
b equals -8, so the answer is y=2x-8.
Answer:
y= 2x - 8
Step-by-step explanation:
lol lol wont let me submmitttt
Raphael runs every day for several weeks. He runs for 35 days in a row. How many weeks did he run?
Answer:
5 weeks
Step-by-step explanation:
There are 7 days in a week.
5 weeks * 7 days = 35 days.
Raphael ran for a total of 5 weeks.
To calculate how many weeks Raphael ran, we need to divide the number of days he ran by the number of days in a week.
Raphael ran for 35 days.
Since there are 7 days in a week, we divide 35 by 7:
35 days / 7 days per week = 5 weeks
Therefore, Raphael ran for 5 weeks.
Are 17 heartbeats in 15 seconds and 68 heartbeats in 60 seconds Equivalent
Answer:
1.133.
Step-by-step explanation:
Yes because if you divide 17 by 15 you get about 1.133 and if you divide 68 by 60 you also get about 1.133.
Answer:
Step-by-step explanation:
17/15 = 1 2/15
68/60 = 1 2/15
yes, they are equivalent
Which mathematical symbol would best fill in the blank to compare the two real numbers?
square root of 2 blank 1.8 repeating
<
>
=
≈
DOES IT MAKE SENSE?
Decide whether each of the following statements makes sense (or is clearly
true) or does not make sense (or is clearly false). Explain your reasoning.
9. I read a book that had 10 words in it.
(10. I've seen about 1050 commercials on TV.
11. I work in an office building that is 300 feet high.
12. In total, Americans spend about a billion dollars per year on
housing costs (rent and home mortgage payments).
13)A popular local restaurant serves 5 million dinners each year.
14)The CEO of the company earned more money last year than
the company's 500 lowest-paid employees combined.
This answer evaluates each statement for its potential truthfulness, noting that while each could arguably be correct, they might also be inaccurate in certain contexts.
Explanation:It's tricky to definitively state whether these statements are true or false without further context, as they contain details that could conceivably be true but may also potentially be inaccurate.
I read a book that had 10 words in it. This could be possible, especially for children's books or minimalist concept books. I've seen about 1050 commercials on TV. This might be true or not, considering that a person who watches television regularly could have seen this number of commercials. I work in an office building that is 300 feet high. This statement is plausible, given there are many buildings of this height. In total, Americans spend about a billion dollars per year on housing costs (rent and home mortgage payments). This is probably true since the American housing market is extensive. A popular local restaurant serves 5 million dinners each year. This is a high number, but it could be true for a very popular or large restaurant. The CEO of the company earned more money last year than the company's 500 lowest-paid employees combined. Sadly, this could be true given the substantial wage gaps that can exist in companies.
Learn more about Statement Validation here:
https://brainly.com/question/34690385
#SPJ2