Look at the rectangle and the square:
Anna says that the length of diagonal SQ is two times the length of diagonal OM.
Is Anna correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.
Answers
Answer:
Anna is incorrect.
Step-by-step explanation:
Find lengths of diagonals SQ and OM.
1. Consider right triangle SQR. By the Pythagorean theorem,[tex]SQ^2=SR^2+RQ^2\\ \\SQ^2=14^2+7^2\\ \\SQ^2=196+49\\ \\SQ^2=245\\ \\SQ=\sqrt{245}=7\sqrt{5}\ units[/tex]
2. Consider right triangle OML. By the Pythagorean theorem,
[tex]OM^2=OL^2+LM^2\\ \\OM^2=7^2+7^2\ [\text{In square LMNO, side } OL \text{has the same length as side }LM]\\ \\OM^2=49+49\\ \\OM^2=98\\ \\OM=\sqrt{98}=7\sqrt{2}\ units[/tex]
Since [tex]7\sqrt{5}\neq 2\cdot 7\sqrt{2}=7\sqrt{8},[/tex] diagonal SQ is not two times diagonal OM. Thus, Anna is incorect.
Answer:
Anna is not correct
Step-by-step explanation:
Part A: No, anna is not correct because first the rectangle (PQRS) its says that the length of (SR) is 14 inches and if cut in half at the diagonal a rectangle or a square would have 2 triangles so if A2 + B2 = C2 then if C = the length of the diagonal and A would = 14 in ( the length of the rectangle) and then B would = 7 inches which is the width of the rectangle. It concludes that 14 to the power of 2 + 7 to the power of 2 = 245 which its square root is 15.65 ( if rounded to the hundredth place)
Part B: Next, is the square (LMNO) if its length and width are both 7 inches then A2 = 7 to the power of 2 and also B2 will also = 7to the power of 2 and C2 will = will be the length of the diagonal.So, all of that 7 to the power of 2 + 7 to the power of 2 = 98 and its square root is 9.89 ( if rounded to the hundredth place) so lets just say 9.9.
Then you can see that 9.9 times 2 does not equal 15.65 so Anna was wrong.
Related Questions
At a local food store a child stole $500 from the shopkeeper's cash register to purchase goods in the store. The items the child purchased total $350 which he paid using the money he stole and received change of $150. How much money in total did the shopkeeper lose
Answers
Answer:
$650
Step-by-step explanation:
the child stole $500 then the shopkeeper gave him change of $150 that equals to the amount of money the shopkeeper lost.
working....
$500+$150=$600
Final answer:
The shopkeeper lost a total of $500 due to the child stealing $500, buying items worth $350, and receiving $150 in change.
Explanation:
The question involves determining the total amount of money the shopkeeper lost due to a theft. When the child stole $500 from the cash register and then used some of this money to buy items worth $350, the shopkeeper effectively lost that amount due to the child not legitimately paying for the goods. Furthermore, the child received $150 in change when they used the stolen money to pay for the items. Therefore, the total money lost by the shopkeeper is the sum of the cost of the goods taken and the change given out, which amounts to $350 + $150, equating to a total loss of $500.
Find the area of the trapezoid by decomposing it into other shapes. A) 56 cm2 B) 60 cm2 C) 64 cm2 D) 72 cm2 Eli
Answers
Answer:
Option C. [tex]64\ cm^2[/tex]
Step-by-step explanation:
see the attached figure N 1 to better understand the problem
we know that
The trapezoid can be decomposed into two right triangles and a rectangle
see the attached figure N 2
so
The area of the trapezoid is equal to the area of two right triangles and one rectangle
The area of trapezoid is equal to
[tex]A=\frac{1}{2}(5)(4)+(12)(4)+\frac{1}{2}(3)(4)[/tex]
[tex]A=10+48+6[/tex]
[tex]A=64\ cm^2[/tex]
Which system is equivalent to
{y=-2x2
y=x-2}
Answers
Answer:
OPTION C: y = -2y² - 8y - 8
x = y + 2
Step-by-step explanation:
The given equations are:
[tex]$ y = -2x^2 \hspace{20mm} \hdots (1) $[/tex]
[tex]$ y = x - 2 \hspace{20mm} \hdots (2) $[/tex]
From Equation (2), we get:
x = y + 2
Substituting this value of x in Equation (1), we get:
y = -2(y + 2)²
Expanding it in [tex]$ (a + b)^2 = a^2 + 2ab + b^2 $[/tex], we get:
y = -2{y² + 4y + 4}
⇒ y = - 2y² - 8y - 8
Therefore, OPTION C is the answer.
Answer: C on edge 2022
Step-by-step explanation:
if wrong i’m gay and Bidens a good president *they almost all suck anyways*
The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 101010 denarius per day to support 333 legionaries and 333 archers. It only costs 333 denarius per day to support one legionary and one archer. Use a system of linear equations in two variables.
Can we solve for a unique cost for each soldier?
Answers
Answer:
The system cannot be solved by a unique cost for each soldier
Step-by-step explanation:
The correct question is
The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 10 denarius per day to support 3 legionaries and 3 archers. It only costs 3 denarius per day to support one legionary and one archer. Use a system of linear equations in two variables.
Can we solve for a unique cost for each soldier?
Let
x-------> the cost of a legionary per day
y-------> the cost of an archer per day
we know that
[tex]3x+3y=10[/tex]
isolate the variable y
subtract 3x both sides
[tex]3y=10-3x[/tex]
Divide by 3 both sides
[tex]y=-x+\frac{10}{3}[/tex] ------> equation A
[tex]x+y=3[/tex]
isolate the variable y
subtract x both sides
[tex]y=-x+3[/tex] ------> equation B
Remember , If two lines are parallel, then their slopes are equal
In this problem Line A and Line B are parallel lines, because their slopes are equal.
we know that that the solution of the system of equations is the intersection point both graphs
If the lines are parallel, then the lines don't intersect
see the attached figure to better understand the problem
therefore
The system has no solutions (Is a inconsistent system)
I don’t understand question 49 someone pls explain.
Answers
Answer:
Below in bold.
Step-by-step explanation:
a, That would be
m = 7 + 8(d - 1) where m = the no. of minutes and d = the day number.
b. On day 9 the number of minutes m = 7 + 8(9 - 1)
= 7 + 64
= 71.
let this be an easy 5 points for your brainly account all is ask for in return is a "thank you"
Answers
Answer:
deze nuts thanks u
Step-by-step explanation:
Answer: thank
Step-by-step explanation:
you
Each cube in this rectangular prism is 1 cm3.What is the volume of the rectangular prism?
A.40 cm3
B.20 cm3
C.48 cm3
D.9 cm3
Answers
The volume of the rectangular prism is b. 20 cubic cm
What is the volume of the rectangular prism?
From the question, we have the following parameters that can be used in our computation:
the rectangular prism
Where, we have
Length = 2
Height = 2
Width = 5
The volume of the rectangular prism is the product of the dimensions
So, we have
Volume = 2 * 2 * 5
Volume = 20 cubic cm
Hence, the volume of the rectangular prism is b. 20 cubic cm
find the unit cost of each of the following to determine which is the better value: 8 CDs for $56.99 or 3 CDs for $22.99
Answers
Answer:
8 CD's for $56.99 is better value than 3 CD's for $22.99.
Step-by-step explanation:
We are given that,
Cost of 8 CD's is $56.99 and cost of 3 CD's is $22.99.
Now, to determine which is the better value, we will find the cost of 1 CD in both the cases. The case which will give cost per CD less will represent the better value.
CASE 1 :
Cost of 8 CD's = $ 56.99
So, cost of 1 CD = $ 56.99 ÷ 8 = $ 7.12 (approx.)
CASE 2 :
Cost of 3 CD's = $ 22.99
∴ Cost of 1 CD = $ 22.99 ÷ 3 = $ 7.66 (Approx.)
So, the CD's are available in cheaper rates in the first case in comparison to second case.
So, 8 CD's for $56.99 is better value than 3 CD's for $22.99.
Answer:
The unit cost of 8 CDs for $56.99 is $7.12 and the unit cost of 3 CDs for $22.99 is $7.66.
And the better value is of 8 CDs for $56.99.
Step-by-step explanation:
Given:
8 CDs for $56.99 or 3 CDs for $22.99.
Now, to find the unit cost to determine which is better value.
By using unitary method we find it:
So, to get the unit cost of 8 CDs for $56.99:
If 8 CDs cost $56.99.
Then, 1 CD cost = [tex]56.99\div 8=\$7.12.[/tex]
Thus, the unit cost = $7.12.
Now, to get the unit cost of 3 CDs for $22.99:
If 3 CDs cost $22.99.
Then, 1 CD cost = [tex]22.99\div 3=\$7.66.[/tex]
Thus, the unit cost = $7.66.
Now, on comparing we determine the better value is of 8 CDs for $56.99.
Therefore, the unit cost of 8 CDs for $56.99 is $7.12 and the unit cost of 3 CDs for $22.99 is $7.66.
And the better value is of 8 CDs for $56.99.
Maya has $2740 of play money
Emily has $3560 of play money. Maya gives some money to Emily. If Emily ends up with 4 times Maya amount. How much money does each girl has in the end
Answers
Answer:
Maya = $1260
Emily = $5040
Step-by-step explanation:
2740+3560 =6300
M + (4M) = 6300
5M=6300
M=6300/5
M=1260
E=5040
Maya has $1260, and Emily has $5040 in the end. Maya gives $1480 to Emily.
How the amount of money was calculatedMaya has $2740, and Emily has $3560.
We're looking for the amount Maya gives to Emily so that Emily ends up with 4 times as much as Maya.
Let M be the amount Maya gives to Emily.
Emily ends up with 4 times Maya's amount:
Emily's amount = 4 * Maya's amount
$3560 + M = 4 * ($2740 - 4M
Simplify:
$3560 + M = $10960 - 4M
$3560 + M + 4M = $10960
5M = $10960 - $3560
5M = $7400
Divide by 5 to solve for M:
M = $7400 / 5
M = $1480
So, Maya gives $1480 to Emily.
To find how much each girl has in the end:
Maya: $2740 - $1480 = $1260
Emily: $3560 + $1480 = $5040
Maya has $1260, and Emily has $5040 in the end.
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The price of a certain stock fell $2 each day for 4 consecutive days. Write an expression that you could use to find the change in the stock’s price after 4 days. Suppose the original price of the stock was $41. What was the price of the stock after 4 days?
Answers
Answer:
35
Step-by-step explanation:
[tex]d=-2\\n=4\\a_4=a_1+3d\\if\; a_1=41\; then\; a_4=41+3\times(-2)=41-6=35[/tex]
Which decimals are rational numbers? Select all that apply
A. 72/100
B. π
C. 1 1/3
D. 8/526
E. 0.212212221...
F. 5/9
Answers
Answer:
Your answers are A, C, D, FStep-by-step explanation:
Fractions are always rational.
A --> this is rational because it can be represented by a fraction.
B --> this is irrational because it cannot be represented by a fraction
C --> 1 1/3 is rational because it can be represented as a fraction
D --> 8/526 is rational because it can be represented as a fraction
E --> this is irrational because it cannot be represented by a fraction
F --> this is rational because it can be represented as a fraction
I hope this helps!
Rational numbers can be expressed as the ratio of two integers. From the list provided, the rational numbers are 72/100 (A), 1 1/3 (C), 8/526 (D), and 5/9 (F). The number π (B) is irrational, and it is unclear if 0.212212221... (E) is a repeating decimal, so it cannot be confirmed as rational without additional information.
Explanation:Rational numbers are numbers that can be written as a fraction, where both the numerator and the denominator are integers and the denominator is not zero.
This includes both terminating and repeating decimals.
A. 72/100 is a rational number because it can be simplified to the fraction 18/25, which is a ratio of two integers.B. π (pi) is not a rational number because it is an irrational number; it cannot be expressed as a fraction of two integers.C. 1 1/3 is a rational number as it is equivalent to the fraction 4/3, a ratio of two integers.D. 8/526 is a rational number as it is already in fraction form with two integers.E. 0.212212221..., if this is a non-terminating, non-repeating decimal, it would be irrational; however, if the pattern repeats at some point, it would be rational. Since the pattern is not explicitly stated as repeating, we cannot assume it is rational.F. 5/9 is a rational number because it is a fraction that represents a ratio of two integers.Thus, the rational numbers from the list provided are A, C, D, and F.
Teresa stated that the heights of the students in her class were not a function of their ages. Which reasoning could justify Teresa’s statement?
Answers
Answer: Two students are the same age but have different heights.
Write a fraction greater than 1 for the parts that are shaded. + a mixed #. Please I need an answer for all of them
Answers
Answer:
2. 7/4 and 1 3/4
3. 5/3 and 1 2/3
4. 14/5 and 2 4/5
5. 21/6 and 3 3/6 (Lowest terms=3 1/2)
6. 20/8 and 2 4/8 (lowest terms= 2 1/2)
Hope it helped!!
The radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder with water. The radius of
the cone's base is 5 centimeters, and its height is 10 centimeters.
The number of times one needs to use the completely filled cone to completely fill the cylinder with water is
Reset
Next
Answers
Answer: 24times
Step-by-step explanation:
Formula for the volume of a cylinder = πr²h
Volume of the cone = 1/3πr²h
Therefore the volume of the cylinder = 22/7 x 10² x 20
= 22/7 x 10 x 10 x 20
= 6285.71cm³
Therefore , the volume of the cone = 1/3 x 22/7 x 5² x 10
= 1/3 x 22/7 x 5 x 5 10
= 5500/21
= 261.9cm³
Therefore the number of times needed to use the completely filled cone to completely filled the cylinder with water = 6285.71/261.9
= 24times.
If a single point satisfies the equations of two lines, the point is on both lines?
Answers
Answer:
yes
Step-by-step explanation:
Answer:
Yes. This is called a solution of the equations and is the intersection point.
A circle has a radius of 30cm what is the area
Answers
r = 30 cm
formula: A = πr²
A = πr²
A = π30²
A = 900π
if π = 3.14, then the answer is 2,826 cm
if π is not defined, the answer is 2,827.43 cm
Car Survey in a survey of 3,200 people who owned a certain type of car, 2,240 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?
Answers
Answer:
30%
Step-by-step explanation:
1.) subtract 3200 and 2240. Since you need to find the amount of people who were satisfied with the car.
2.) divide 960 and 3200. this is because you need to find the percent of people who were satisfied with the car.
Answer: 30%
The percentage satisfied with the purchase is 30%
The percentage who were satisfied can be calculated thus :
(Difference/ Number surveyed ) × 100%Difference = 3200 - 2240 = 960
Now we have :
(960 / 3200) × 100%
= 0.3 × 100%
= 30%
Hence, percentage who were satisfied is 30%
Plz I need help with geometry homework FIND THE ANGLES
Answers
Answer:
a = 36°b = 36°c = 72°d = 72°e = 108°f = 16°g = 74°h = 70°Step-by-step explanation:
You are expected to know and make use of the following relations:
vertical angles are congruentangles of a linear pair are supplementaryangles of a triangle sum to 180°alternate interior angles are congruent (at parallel lines)corresponding angles are congruent (at parallel lines)acute angles of a right triangle are complementarybase angles of an isosceles triangle are congruent__
For this problem, it isn't always easiest to work the questions in order. It is best to start with the angles easiest to find from those given.
b and 144° are a linear pair, so b = 180° -144° = 36°
a and b are alternate interior angles, so a = b = 36°
2d and 144° are corresponding angles, so d = 144°/2 = 72°
e is the apex angle of an isosceles triangle with base angles 36°, so is 180° -2(36°) = 108° = e
f and 164° are a linear pair, so f = 180° -164° = 16°
g and f are complementary, so g = 90° -16° = 74°
g+h is a vertical angle with 144°, so is congruent to that. h = 144° -74° = 70°
c is the base angle of an isosceles triangle with b as the vertex angle. That means c = (180° -36°)/2 = 72°
If 4 bushels of oats weigh 112 kg, how much do 8.5 bushels of oats weigh?
Answers
Explanation: 112/4 = 28
Each bushel weighs 28kg.
28 x 8.5 = 238kg.
which equation could represent the area of a square as a function of a side A: A(s)=2s B: A(s)=4s C: A(s)= s2
Answers
Answer:
[tex]A(s)=s^2[/tex]
Step-by-step explanation:
we know that
The square is a regular polygon that has four right angles and four parallel and congruent sides.
The area of a square is equal to the length side squared
Let
s ----> the length side of the square
we have that
[tex]A(s)=s^2[/tex]
The circumference of the Astrodome in Houston, Texas is 2,230 ft. Find the area of the astrodome and explain how you did this using the words area, circumference and radius. (π = 3.14)
Answers
Answer:
The radius of Astrodome is 355.09 foot,
The Area of Astrodome is 395919.146 square foot .
Step-by-step explanation:
Given as :
The circumference of Astrodome = 2230 foot
∵ The circumference of circular shape = 2 × [tex]\pi[/tex] × radius
where [tex]\pi[/tex] = 3.14
So, The circumference of Astrodome = 2 × [tex]\pi[/tex] × radius
Or, 2230 foot = 2 × 3.14 × radius
Or, 2230 foot = 6.28 × radius
∴ radius = [tex]\dfrac{2230}{6.28}[/tex]
I.e radius = 355.09 foot
Now,
∵The area of circular shape = [tex]\pi[/tex] × radius²
So, The area of Astrodome = [tex]\pi[/tex] × radius²
Or, The area of Astrodome = 3.14 × radius²
Put the value of radius = 355.09 foot
So , The area of Astrodome = 3.14 × (355.09)²
or, The area of Astrodome = 3.14 × 126088.9
∴ The area of Astrodome = 395919.146 square foot
Hence , The radius of Astrodome is 355.09 foot, and The Area of Astrodome is 395919.146 square foot . Answer
What is the equation of a line that contains the points (5.0) and (5,-2)?
x = 5
x = 0
y=0
y = 5
Answers
Answer:
C) y=0
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-0)/(5-5)
m=-2/0
m=0
y-y1=m(x-x1)
y-0=0(x-5)
y-0=0
y=0+0
y=0
Answer:
x=5
Step-by-step explanation:
a
1. Find the missing side length.
Can someone please help??? I'll give extra points!!
And mark as brainliest. PLEASEEEE!!!
Answers
Answer:
Therefore the missing length is AC = 24.46 units
Step-by-step explanation:
Consider a Δ ABC with
∠ B = 43°
AB = c = 18
BC = a = 8
To Find:
AC = c = ?
Solution:
We know in a Triangle Cosine Rule Says that,
[tex]b^{2} =c^{2}+ a^{2}-2\times a\times c\times \cos B[/tex]
Substituting the given values in above formula we get
[tex]b^{2} =18^{2}+ 8^{2}-2\times 8\times 18\times \cos 43\\\\b^{2} =324+64+288\times 0.7313\\\\b^{2} =598.6144\\\\Squaare\ Rooting\\\therefore b = 24.46\ units[/tex]
Therefore the missing length is AC = 24.46 units
Answer:
13.32
Step-by-step explanation:
if the missing side length is b,
1.) b^2 = 18^2 + 8^2 - 2(8)(18)(cos43)
2.) b^2 = 177.3701
then take square root of 177.3701
3.) √(b^2) = √(177.3701)
4.) b = 13.32
see ya have a good day
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
7x+3y= 30
-2x+3y= 3
ОА. (3, 5)
ОВ. (3, 3)
Ос. (6, 5)
D. (6, 3)
Answers
Explanation:
7x+3y=30
-2+3y=3
Choose a variable to eliminate (We’ll choose Y)
(7x+3y=30) -> 7x+3y=30
(-2x+3y=3) -1 -> 2x+-3y=-3
The -3y camels the other 3y, combine the equations
9x=27
Divide both sides by 9
9x/9 = 27/9
x = 3
Back to 7x+3y= 30
Substitute the x with 3
7(3)+3y= 30
21+3y= 30
Move the constant to the other side
21+3y=30
-21 -21
3y=9
Divide both sides by 3
3y/3 = 9/3
y = 3
You moved within a short walking distance to work and you no longer need to spend the $20 per week budgeted for bus
fare. Considering this, what is your new weekly budget surplus if your previous surplus was $175?
a) $30
b) $66
Oc) $120
O d) $195
Answers
you used to have $175 extra a week and now you have $20 more. 175+20= 195
25. Paulo's family arrived at the reunion at
8:30 A.M. How long do they have before
the trip to Scenic Lake Park?
DATA
Trip to Scenic
Lake Park
10:15 A.M. to 2:30 P.M.
Slide show
4:15 P.m. to 5:10 P.M.campfire 7;55p.m.to 9;30p.m
26. How much longer is dinner than the
Answers
25 states, Paulo's family arrived at the reunion at
8:30 A.M. How long do they have before
the trip to Scenic Lake Park?
So the question asks how long it takes.
8:30AM to 10:15AM would be a 1:15 hour difference. This would be the answer to #25.
Let me know if you have any extra questions.
25 states, Paulo's family arrived at the reunion at
8:30 A.M. How long do they have before
th
Step-by-step explanation:
Simplify the expression 6y to the 4th power+3y to the 4th power.
Answers
Answer:
6y^4 + 3y^4
1296y + 81y
1377y
Step-by-step explanation:
18. Ten students from a school appear in one or more subjects for an inter school
Answers
Answer:
Step-by-step explanation:
(G n m) = [Max, Anael]
(G u S) = [Acel, Action, Anael, Max, Carl, Dario, Carlin, Kia, Barak]
The students appearing for General Knowledge (G) are Acel, Acton, Anael, Max, Carl, and Dario and the students appearing for Math (M) are Barek, Bay, Max, Kai, Anael, and Carlin and the students appearing for Science (S) are Carlin, Acton, Anael, Kai, Dario, and Barek.
To determine the students in each subject set, we need to carefully analyze the table. Let's start with the General Knowledge (G) set. The students listed under General Knowledge are Acel, Acton, Anael, Max, Carl, and Dario.
Next, we move on to the Math (M) set. The students listed for Math are Barek, Bay, Max, Kai, Anael, and Carlin.
Lastly, we look at the Science (S) set. The students listed for Science are Carlin, Acton, Anael, Kai, Dario, and Barek.
To find the intersection students in each subject set, we simply extract the names listed under each subject. When a student appears in more than one subject, we include them in the respective sets accordingly.
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Isaac purchased a house for $179,300,00. Every year, Isaac makes improvements so that the value of the house goes up by 4%.
Which of the following equations can be used to determine the number of years after purchase, that the value of Isaac's house will
be equal to 5197.230.002
Answers
Answer:
The number of years in which house value goes up is 145 years .
Step-by-step explanation:
Given as :
The initial purchased value of the house = p = $179,300,00
The value of house goes up every years at the rate = r = 4%
Let The number of years in which house value goes up = t years
The value of the house after t years = $A = $5197,230,002
Now, According to question
The value of the house after t years = The initial purchased value of the house × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]
I.e A = $p × [tex](1+\dfrac{\textrm r}{100})^{\textrm t}[/tex]
Or,$5197,230,002 = $17930000 × [tex](1+\dfrac{\textrm 4}{100})^{\textrm t}[/tex]
Or, [tex]\dfrac{5197,230,002}{179,300,00}[/tex] = [tex](1+\dfrac{\textrm 4}{100})^{\textrm t}[/tex]
Or, 289.86 = [tex](1.04)^{t}[/tex]
Now, taking Log both side
So, [tex]Log_{10}[/tex]289.86 = [tex]Log_{10}[/tex] [tex](1.04)^{t}[/tex]
or, 2.462 = t × [tex]Log_{10}1.04
or, 2.462 = t × 0.01703
∴ t = [tex]\dfrac{2.462}{0.01703}[/tex]
I.e t = 144.56 ≈ 145
So, Number of years = t = 145 years
Hence The number of years in which house value goes up is 145 years . Answer
To determine the number of years it will take for the value of Isaac's house to reach $5,197,230.002 with an annual appreciation rate of 4%, use the compound interest formula. Solving for the number of years, the approximate result is 84 years.
Isaac purchased a house for $179,300. Every year, the value of the house increases by 4%. To determine the number of years after purchase that the value of Isaac's house will reach $5,197,230.002, we can use the formula for compound interest:
FV = PV × (1 + r)ⁿ
FV is the future value of the house, $5,197,230.002.PV is the present value or the initial value of the house, $179,300.r is the annual increase rate, 4% or 0.04.n is the number of years.We need to solve for n in the equation:
$5,197,230.002 = $179,300 × (1 + 0.04)ⁿFirst, isolate the exponential expression:
(1 + 0.04)ⁿ = $5,197,230.002 / $179,300(1.04)ⁿ ≈ 29Next, apply the natural logarithm to both sides to solve for n:
ln[(1.04)n] = ln(29)n × ln(1.04) = ln(29)n = ln(29) / ln(1.04)n ≈ 83.95 yearsSo, the value of Isaac's house will reach $5,197,230.002 approximately 84 years after purchase.
Max travel 324 miles in six hours write the unit rate
Answers
Answer:
54mph
Step-by-step explanation:
Answer:
= 54 miles per hour
Showing WorkThis is a fraction equal to
324 miles ÷ 6 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 6
324 miles
÷ 6
6 hours
÷ 6
=
54 miles
1 hour
=
54 miles
hour
= 54 miles per hour
Answer:
Step-by-step explanation:
Speed v = distance d/ time t
v = 324/6
v = 54miles/hr