Every year, the value of an antique vase appreciates by 20% of it's value in the previous year if the value of case was 180000 in 2012, find it's value in 2010.
guys I am giving you 100 POINTS!!!no cheating and I need answer that is 125000 and send me with solution?
and guys I need solution easy mean like percentage decreased or increased that is enough explanation for you all of you and if anybody who is free and can give answer right now so please answer me? i will mark you brainlest ok bye
Answers
[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]
In Direct formula method:
If the rate of appreciation r, the initial value I, the final value V, and the period of appreciation n, the formula for appreciation is given by:
V = I(1 + r)ⁿ
In our case, we need to work out the value of n which is number of years in between 2010 and 2012.
So, n = 2012 - 2010 = 2 years
Put the values we have:
⇛180000 = I(1.20)² [ Increases 20% every year ]
⇛180000 = 1.44I
⇛I = 180000/1.44
⇛I = 125000
So, in 2010, the value of the vase was $125000
⛱️ Another way of doing it is in the attachment!!
Related Questions
I need help with part a and b please
Answers
Answer:
The total answer should be 38 on the top
Step-by-step explanation:
a) So the first partial quotient would be equal to 30 as 31 x 30 = 930
b) Second partial quotient would be 8 as 31 x 8 = 248
Answer:
0
38
I hope it's help byeeee
Can someone please help me on this one ?
You are considering different investment strategies to save for your retirement.
Option 1: You invest $50/ month at a rate of 3.5% APR compounded monthly for 35 years.
Option 2: You invest $150/ quarter at a rate of 4.15% APR compounded monthly for 35 years.
Option 3: You invest $4,000 at a rate of 5.5% APR compounded monthly for 35 years.
Complete the table below and answer the questions below it.
You may use this calculator http://www.mycalculators.com/ca/savecalcm.html to help you.
(Hint: The “Present Value” for options 1 and 2 is 0 while for option 3 it is $4,000.00. Also, the
top radio button in the Contributions box should be selected so that contributions are made at the beginning of the period.)
Table:
Option # | Contributions | Final Balance | Total Interest Earned
1
2
3
1) How did you calculate the contribution for each option? In which option would you
contribute the least?
2) Which option yielded the highest amount at the end of the 35 years and what was the basis of the plan?
3) What is the difference in the principal invested for the highest and lowest final
balances? What is the difference in the interest earned?
4) What plan would you recommend for the largest return on investment? (This means
the most interest for the least amount invested)
5) How does the differing interest rates in each option play into your recommendation?
I would appreciate full feedback! Thank you :)
Answers
Return on investment increases as the interest rate applied, the duration of investment, and the principal invested increases.
The responses are as follows;
1) Total contribution = Single contribution Value × Number of contributions2) Option 23) $-4,0004) Option 35) The higher interest rate increases the return on investmentReasons:
Option 1: Investment
The present value = 0
The contributions made = $50 monthly
APR of investment = 3.5%
Number of years of investment = 35 years
The contribution = $50 × 12 × 35 = $21,000
Future value (final balance) = $41,230.22
Interest Earned = $41,230.22 - $21,000 = $20,230.22
Option 2: Investment
The present value = 0
The contributions made = $150 per quarter
APR on investment = 4.15%
Number of years of investment = 35 years
The contribution = $150 × 4 × 35 = $21,000
Future value = $47,503.88
Interest Earned = $47,503.88 - $21,100
Option 3: Investment
Present value = $4,000
APR on investment = 5.5%
Number of years of investment = 35 years
The contribution = $4,000
Future value = $27,300.26
Interest Earned = $27,300.26 - $4,000 = $23,300.26
[tex]\begin{array}{|c|c|c|c|}Option \ number&Contributions&Total \ Interest \ Earned&Final \ Balance\\1&\$50&\$20,230.22&\$41,230.22\\2&\$150&\$26,403.88&\$47,503.88\\3& \$4,000 &\$23,300.26 &\$27,300.26 \end{array}\right][/tex]
1) The total contribution is given by the product of the monthly contribution and the number of timer units.
2) The option that yielded the highest amount at the end of 35 years is the option 2.
The basis of the plan is quarterly investment of $150 and an annual interest rate of 4.15% compounded monthly.
3) The principal with the highest final balance is the principal for Option 2. which is 0
The principal that has the lowest final balance is the principal for option 3 which is $4,000
The difference in the principal for the highest and lowest final balances is
$0 - $4,000 = $-4,000
4) The plan recommended for the largest return on investment is option 2, in which the amount invested increased by more than 600%
5) The higher the interest rate, the higher the return on the amount invested.
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Aaron creates a stacked cake comprised of three cylindrical sections as pictured below, and plans to cover the top of each section with a different color icing. Each lower section is a total of two inches wider than the section above it. If the yellow top of the upper section has an area of 12.56 square inches, what is the approximate area of the green visible portion of the bottom section which he will need to cover with icing?
Answers
Answer:
Step-by-step explanation:
A = πR²
top layer has a radius of
R = √(12.56/π) = 2 inches
The middle layer has a radius of 3 inches and an area of
A₂ = π3² = 9π in²
The bottom layer has a radius of 4 inches and an area of
A₃ = π4² = 16π in²
so the visible area on the bottom layer has an area of
16π - 9π = 7π in² or about 22 in²
If you randomly select a card from a well-shuffled standard deck of 52 cards, determine the probability that the card you select is not a spade.
A. Write your answer as a simplified fraction.
B. Write your answer as a decimal, rounded to the nearest thousandth.
C. Write your answer as a percent. Round to the nearest tenth of a percent and don't forget to include a percent sign, %, in your answer.
Answers
Answer:
a. 1/13
b. 0.077
c. 7.7
Step-by-step explanation:
a. there are 4 of the 6 in a deck of cards so the probability of taking this cards from the deck of 52 cards is 4/52. Given you 1/13.
1. You are interested in recycling behavior and whether it varies between urban and
rural residents. You know that the statewide recycling rate is 48.89%, and you
survey 140 rural residents and 310 urban residents to find out if they recycle.
180 urban residents respond that yes, they recycle. 130 do not. 40
rural residents recycle, and 100 do not.
a) Construct an expected frequencies crosstab, based on the sample size and the
statewide recycling rate.
b) Construct an observed frequencies crosstab, based on your actual data.
(NOTE for 1a and 16: Be sure to include both percentages and frequency values, in
Answers
Answer:
65
Step-by-step explanation:
A scientist needs 180 milliliters of a 20% acid solution for an experiment. The lab has available a 25% and a 10% solution. How many milliliters of the 25% solution and how many milliliters of the 10% solution should the scientist mix to make the 20% solution
Answers
9514 1404 393
Answer:
120 mL of 25% solution60 mL of 10% solutionStep-by-step explanation:
Let q represent the quantity of 25% solution in the mix. Then 180-q is the quantity of 10% solution. The quantity of acid in the mix is ...
0.10(180 -q) +0.25(q) = 0.20(180)
18 +0.15q = 36 . . . . simplify
0.15q = 18 . . . . . . . . subtract 18
q = 18/0.15 = 120 . . . . divide by the coefficient of q
180-q = 60
The scientist should mix 120 mL of 25% solution with 60 mL of 10% solution.
A car travels at an average speed of 56 miles per hour how many miles does it travel in 5hrs and 30min
Answers
Answer:
308 miles
Step-by-step explanation:
speed * time = distance
56 * 5.5 = 308
308 miles
Part of a city map is shown. If m 5 = x, which angles also have a measure of x? Select all that apply.
A 1
B 4
C 9
D 12
Thanks!!!
Answers
Answer:
C 9
D 12
Step-by-step explanation:
9 is a corresponding angle to 5 and 12 is an opposite angle to 9
Also by convention, grid lines are at right angles to each other so 5, 6, 7, 8, 9, 10, 11, and 12 are all equal at x = 90°
2y⁴×5y³
Send a message
Answers
Answer:
10y^7
Step-by-step explanation:
Answer:4+3=7
5×2=10
Step-by-step explanation:
(BEST AND FASTEST GETs BRAINLIEST)Michael works at a furniture store. He makes commission for every piece of furtniture he sells. He sold a couch for $1245 he got a check for $62.25. What was the % of commission he made?
Answers
Step-by-step explanation:
if 1425 then the answer is 100
if it's 62.25 then 77 percent
1. Which of the following is an example of acceleration? A. 10m/s B. 64km/h/min C. 50 cm2/s2 D. 46 km/h
Answers
Answer:
i beleive c for the proper answer form is m/s 2 c is the only one to show to square anything. if that's wrong the a but there is no square symbol.
Mrs. King's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
Answers
WHAT IS 159 DIVIDED BY 3 (ITS NOT HARD PLEASE ANSWER I DON'T HAVE A CACULATER)
Answers
Answer:
Step-by-step explanation:
The asked quotient of 159 divided by 3 is the number 51.
What is divide?It is the inverse of multiplication, and it is used to find out how many times one number can be divided by another. In mathematics, the division is an arithmetic operation that involves splitting a quantity into equal parts or groups.
Here,
As mentioned in the question, we have to determine the quotient of 159 divided by 3
So let the quotient be y,
y = 159/3
y = 51
Thus, the asked quotient of 159 divided by 3 is number 51.
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D. Directions: Write the equation for line in any form) for the following points
(0,4) and (-3,12)
Answers
Answer:
y = -8/3x + 4
Step-by-step explanation:
A ruler 30 cm long is broken into two parts in the ratio 8:7. How long
are the two parts?
Answers
Answer:
Step-by-step explanation:
Length of each part of the ruler will be
8x and 7x
. Hence, 8x+7x=30 => 15x=30 =>x=2
Hence, the lengths will be
8x=8×2=16
7x=7×2=14
Who ever solve this first I will give Brainliest to them
Answers
Answer:
9
Step-by-step explanation:
In order to solve this problem, you need to understand how the area of a parallelogram works. If you already know how the area of a parallelogram and the area of a triangle are related, then adding 79 and 10 and subsequently subtracting 72 and 8 to get 9 should make sense
what is 250% of 5
please help
Answers
Answer:
12.5
Step-by-step explanation:
You can read this problem as ...
2.5 × 5 = 12.5
__
You can think of % as meaning /100. You can think of "of" as meaning "times". Then the expression
250% of 5
can be thought of as ...
250/100 × 5
= 1250/100 = 12.5
THIS QUESTION IS WORTH 20 PTS!!! WILL REWARD BRAINLIEST!!!
Convert the exponential equations into logarithmic form.
Answers
Answer:
[tex] \: [/tex]
1. C = 81 , D = 4
2. E = 625, F = 4
3. G = 10,000 , H = 4
4. J = 0.01 , K = -2
Hope it helps you ™
Where do I put the parenthesis to make it true?
5 – 6w – 5 – 95 + 2w = –48w – 70
Answers
Answer:
i just stole your points thank you
Step-by-step explanation:
5 – 6w – 5 – 95 + 2w = –48w – 70
-6w + 2w + 48w = -70 -5 + 5 +95
44w = 25
w=25/44
A sample in which each element in a population has a equal chance of being selected
Answers
Answer:
simple random sample
Step-by-step explanation:
I hope that's it
Up arrow, right arrow, down arrow, left arrow, up arrow, right arrow, down arrow, left arrow. What's the conjecture
Answers
Answer:
The correct option is;
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-arrow (x, -y).
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-Arrow (-x, y).
Taking the result from the first reflection (x, -y) and applying the second mapping rule will result in (-x, -y), not (y, x), which reflection across the line y = x should give
Step-by-step explanation:
We have that for reflection across the x-axis, (x, y) → (x, -y)
For reflection across the y-axis, (x, y) → (-x, y)
Therefore, given that the pre-image before the reflection across the y-axis is (x, -y), we have;
For reflection across the y-axis, (x, -y) → (-x, -y)
For reflection across the line, y = x, gives (x, y) → (y, x) which is not the same as (-x, -y)
Given: D is the midpoint of AC, ED = FD, and angle EDA = angle FDC
Prove that: Triangle AED = Triangle CFD
Answers
Answer:
Step-by-step explanation:
Side-Angle-Side postulate (SAS)
There are ΔAED and ΔCFD triangles that are congruent due to the SAS congruence postulate.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
As per the given question,
D is the midpoint of AC, ED = FD, and angle EDA = angle FDC
In ΔAED and ΔCFD,
Side DE = Side DF
m∠EDA = m∠FDC
Side AE= Side FC
According to SAS, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.
Thus, both triangles are congruent.
Hence, there are ΔAED and ΔCFD triangles that are congruent due to the SAS congruence postulate.
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What is the slope-intercept form of an equation of a line that passes through the point (0,-1) and is perpendicular to 5x-y=3?
Answers
Answer:
y = -1/5x - 1
Step-by-step explanation:
Perpendicular lines slopes are negative reciprocals of each other.
Write the given equation in the slope-intercept form: y = mx + b
5x - y = 3
-y = -5x + 3
y = 5x - 3 multiply by -1
The slope of the given line is 5 ( the coefficient of the x-term).
The slope of the new equation will -1/5 (this is the negative reciprocal of 5).
Next find "b" using y = mx + b, the new slope -1/5 and the point (0, -1)
y = mx + b
-1 = -1/5(0) + b
-1 = 0 + b
-1 = b
Now write the equation y = -1/5x - 1
Find the value of y for the given value of x.
y = x/2 + 9;x = -12
Answers
Step-by-step explanation:
x = -12
y = x/2 + 9
y = -12/2 + 9
y = -6 + 9
y = 3
The simple interest charged on a 12-month loan of $82,000 is $631. Find the simple interest rate. (Round your answer to one decimal place.)
Answers
Step-by-step explanation:
631/82000×100
=0.8
MARK ME BRAINLIEST PLSS!
Which function has an inverse this is a function?
b(x)=x^2 + 2x
d(x)=-4x
m(x)=-3
p(x)=|x|
Answers
Answer :-
Option 2
Step by step explanation :-
d (x) = -4x has an inverse .
Marie uses 2.3 oz of nuts for each bag of trail mix she makes. She uses 27.6 oz of nuts in all.
How many bags of trail mix does Marie make?
Enter your answer in the box.
bags
Answers
Answer: 27.6/2.3 = 12 bags of trail mix
Step-by-step explanation: Hope this helps :)
4х = 32
А. x= 9
В. x= 8
с. x= 28
D. х = 128
Answers
Answer:
B
Step-by-step explanation:
Step 1: Divide both sides by 4.
4x/4 = 32/4
4x/4 leaves you with x by itself, and 32/4 is 8. So x = 8
Can someone help me? I still don't understand this question.
Answers
[tex]f(x) = -6x^2 + 7x + 4[/tex]
Step-by-step explanation:
For x = 1
[tex]a(1)^2 + b(1) + c = 5 \Rightarrow a + b + c = 5[/tex] (1)
For x = -3,
[tex]a(-3)^2 + b(-3) + c = -71[/tex]
[tex]\Rightarrow 9a - 3b + c = -71[/tex] (2)
For x = 3,
[tex]a(3)^2 + b(3) + c = -29[/tex]
[tex]\Rightarrow 9a + 3b + c = -29[/tex] (3)
Let's add Eqn(2) and Eqn(3) together to eliminate b:
[tex]\Rightarrow 18a + 2c = -100[/tex] (4)
Next, multiply Eqn(1) by 3 and then add to Eqn(2) to get
[tex]\Rightarrow 12a + 4c = -56[/tex] (5)
Then we want to eliminate c by multiplying Eqn(4) by -2 and then adding to Eqn(5) and we will get
[tex]-24a = 144 \Rightarrow a = -6[/tex]
Now that we have the value for a, we can use either Eqn(4) or Eqn(5) to solve for c and we will get
[tex]12(-6) + 4c = -56 \Rightarrow c = 4[/tex]
Using the values of a and c on Eqn(1), we find that [tex]b = 7[/tex] so therefore, our function f(x) has a form
[tex]f(x) = -6x^2 + 7x + 4[/tex]
WILL GIVE BRAINLIEST
These two triangles are congruent by ....
O SSS
O SAS
O HL
O ASA
O AAS
O the triangles are NOT congruent
Answers
SAS postulate states that if two sides and one angle of the two triangles are congruent then the corresponding triangles are congruent.
These two triangles are congruent by SAS postulate
Proof
Statements Reasons
In ΔNHJ ↔ ΔKHJ
mHJ≅mHJ common to both Δs∠N≅∠K right anglesmHN≅mHK givenFrom 1,2, and 3 ΔNHJ ≅ ΔKHJ SAS≅SAS
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