Answer:
12
Step-by-step explanation:
which law would you use to simplify the expression...
Answer:
Power of a quotient
Suppose sam deposited 1000$ every month in the beginning for his retirement fund for 20 years at 5% compounded monthly. What is value of N
To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.
To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.
Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.
The formula to calculate the future value of a series of monthly deposits is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the investment,
P is the monthly deposit amount,
r is the monthly interest rate, and
n is the number of deposits.
In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.
By rearranging the formula, we can solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Plugging in the values, we get:
n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)
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solve for x 7/8(-32-48x)+36=2/3(-33x-18)-10x
\(\frac{7}{8} (-32-48x) + 36 = \frac{2}{3} (-33x-18) -10x\)
\(\frac{7}{8} (-32)+\frac{7}{8} (-48)+36=\frac{2}{3} (-33x)+\frac{2}{3} (-18)-10x\)
\(-28-42+36=-22x-12-10x\)
\(22x+10x=28+42-36-12\)
\(32x=22\)
\(x=\frac{22}{32} =\frac{11}{16} =0,6875\)
Answer: x = 0.6875
Ok done. Thank to me :>
Answer:
x = 2
Step-by-step explanation:
7/8 (-32-48x) + 36 = 2/3 (-33x-18) - 10x
Multiply,
7(-32-48x)/8 + 36 = 2(-33x-18)/3 -10x
Simpliy,
-336(3x+2) + 864 = -48(11x+6) - 240x
Expand,
-1008x + 192 = -768x - 288
Simplify,
-1008x = -768x -480
Simplify,
-240x = -480
Simplify,
x = -480/-240
Answer,
x = 2
Simplify the expression -2(3x + x)
Answer:
-8x
Step-by-step explanation:
Multiply what's in the parentheses.
An item has listed price of $65. If the sales tax rate is 5% how much is the sales tax what is the total cost?
If an item has a listed price of $65 and the sales tax rate is 5%, the sales tax will be $3.25 and the total cost will be $68.25.
If the item has a listed price of $65, the sales tax rate is 5%, we can first calculate the amount of sales tax as follows:
Sales Tax = Listed Price x Sales Tax Rate
Sales Tax = $65 x 0.05
Sales Tax = $3.25
So the sales tax on the item is $3.25.
To calculate the total cost, we simply add the sales tax to the listed price:
Total Cost = Listed Price + Sales Tax
Total Cost = $65 + $3.25
Total Cost = $68.25
So the total cost of the item with sales tax is $68.25.
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Which table represents exponential growth? A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 6, 8. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 8, 16. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 7, 11. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 6, 10.'
The table that represents exponential growth is the second table.
What is exponential growth?Exponential growth simply means a process that increases quantity over time. It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself.
Exponential growth is the pattern of data which shows sharper increases over time. In finance, compounding creates exponential returns and the savings accounts with a compounding interest rate can show exponential growth.
In this case, the second table described represents an exponential function. It has a common ratio of 4, meaning that each y-value is multiplied by 4 to get to the next value. Here, every time the Xs increase by 1, the Ys increase by a multiple of 4.
One of the best examples of exponential growth is observed in bacteria. Here, it takes bacteria roughly an hour to reproduce through prokaryotic fission. This illustrates exponential growth.
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Answer: B
Step-by-step explanation:
?A bag contains red, blue, and green candies. Benjamin pour
out a handful and counted 10 red, 6 blue, and 14 green
candies. According to these ratios, if the bag contains a total of
400 candies, about how many of them are blue?
Apply the distributive property to factor out the greatest common factor.
24+32p= _____
Answer:
8(3+4p)
Step-by-step explanation:
8 goes into 24 and 32, so it can be factored out:
\(24+32p=8(3+4p)\)
Answer:
8(3 + 4p)
Step-by-step explanation:
Factor 24 + 32p
First, factor out the GCF. In this case, the GCF is 8, and we have
8(3 + 4p)
We can't factor anymore so the answer is 8(3 + 4p)
ane Windsor financed a $5,900 ski boat with a 12% add-on interest installment loan for 12 months. Given the loan required a 10% down payment, determine the following:
The amount of the finance charge?
The amount of the finance charge rebate if the loan were to be paid after the 10th payment?
Answer:
Jane must pay $ 5,947.2 over 12 months. Of that amount, $ 637.2 will correspond to interest generated by the loan, which will be paid in 12 installments of $ 495.6.
Step-by-step explanation:
Jane Windsor acquired a ski boat for $ 5,900, paying a down payment of 10% and financing the remainder of the price at an annual interest rate of 12%.
Thus, since 5,900 x 0.1 is equal to 590, the financed amount arises from the subtraction between 5,900 minus 590, which yields a financed amount of $ 5,310.
Therefore, the amount to be paid monthly arises from the following calculation:
5,310 x 1.12 = Amount with interest
5,947.2 = Amount with interest
5,947.2 - 5,310 = Interest
637.2 = Interest
5,947.2 / 12 = Monthly payments
495.6 = Monthly payments
Therefore, Jane must pay $ 5,947.2 over 12 months. Of that amount, $ 637.2 will correspond to interest generated by the loan, which will be paid in 12 installments of $ 495.6.
How do I Expand (2x − 1)^6
Answer:
well if u do this
(2x-1)(2x-1)(2x-1)(2x-1)(2x-1)(2x-1)
it would be the expanded form for (2x-1)^6
Step-by-step explanation:
i um learned it before so...
evidence of climate change indicates each of the following earth vital signs have been on the rise except:
Climate change is causing an increase in air temperature, sea surface temperature, sea level, ocean acidity, and snow cover, but not humidity.
Humidity
Climate change is the long-term change in average weather patterns, and is caused by increased atmospheric concentrations of greenhouse gases. Earth's vital signs that have been on the rise due to climate change include air temperature, sea surface temperature, sea level, ocean acidity, and snow cover. Humidity is not one of these vital signs, and actually is expected to decrease in some areas due to climate change.
Climate change is causing an increase in air temperature, sea surface temperature, sea level, ocean acidity, and snow cover, but not humidity.
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A car is driving away from El Paso with constant velocity. At 1 p.m., it is 145 miles away from El Paso. At 3 p.m., it is 275 miles away from El Paso.
Part A: Write a linear function that describes the distance (in miles) the car is from El Paso in terms of time (in hours after 12:00 p.m.).
The linear function that describes the distance (in miles) is therefore y = 65x + 80
How to solve for the linear functionWe have to find the slope and the intercept in other to get the linear function
The data points are:
(1, 145) and (3, 275).
m = (y2 - y1) / (x2 - x1)
fixing the data points we have
m = (275 - 145) / (3 - 1)
= 130 / 2
= 65
y = mx + b
(1, 145):
145 = 65(1) + b
b = 145 - 65
= 80
y intercept is 80
The linear function is therefore y = 65x + 80
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Leila's father used six-tenths of a full tank of gasoline on their trip. Nine gallons were used.
About how many gallons does the tank hold?
Answer:
15
Step-by-step explanation:
if 6/10 = 9 gal. then we can divide 9 by 6 and then multiply that answer by ten
Answer:
D): 15
Step-by-step explanation:
if 6/10 = 9 gal. then we can divide 9 by 6 and then multiply that answer by ten
Why is a scale factor of 2 the same as 200%?
Answer:
the action of deposing someone, especially a monarch.
Step-by-step explanation:
Brocolli cost $3.36 a pound at the market. If Marisa
bought 2.5 pounds, what was the cost?
Answer:
Step-by-step explanation:
8.4
Answer:
$8.4
Step-by-step explanation:
\(3.36*2.5\)
what is equvilant to (2 −7 ⋅5 5 ) 2 =?
An equivalent expression to (2⁻⁷*5⁵)² is 2⁻¹⁴*5¹⁰, and the solution is 596.05
How to solve the expression?Here we have the following expression:
(2⁻⁷*5⁵)²
Remember that the exponent can be distributed, and the property:
(aᵇ)ⁿ = aᵇ*ⁿ
Then we can write:
(2⁻⁷)²*(5⁵)²
= 2⁻⁷*²*5⁵*²
= 2⁻¹⁴*5¹⁰
Using a calculator we can find that:
2⁻¹⁴*5¹⁰ = 596.05
Then the equivalent expressions are:
2⁻¹⁴*5¹⁰
And
596.05
Where the second one is a single number, but we can consider it an expression.
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Given: D(−1, 3), E(−3, −1), F(3, −1), G(−4, −3), and H(5, −3)
Prove: triangleDEF ~ triangleDGH
Answer:
Step-by-step explanation:
O
The Unit Circle
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth.
29°
a. (0.87, 0)
b. (0.87, 0.48)
c. (0.48, 0.87)
d. (1, 0.48)
Please select the best answer from the choices provided
Answer:
B. (0.87, 0.48)
Step-by-step explanation:
I calculated it logically
Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
PLEASE HELP ASAP ITS FOR A FINAL
It is recommended that one fire extinguisher be available for every 6,000 square feet in a building. Our school
measures 150,000 square feet. Our school has 22 fire extinguishers. The custodian determines that we need more fire extinguishers in order for the entire building to be fully protected.
Answer these two questions and be certain to show and explain all your work.
How many fire extinguishers need to be purchased? What percent of the school is protected now?
Answer:
1 The minimum number of fire extinguishers for Class A hazards for each floor of a building shall be determined by dividing the total floor area by the maximum area to be protected per extinguisher as determined by Table.
Step-by-step explanation:
(1) Find the unknown side length of the rectangle if its area is 11 m squared.
Answer:
oo I’m not sure I think it’s 2/two thirds
Step-by-step explanation:
Answer:
2 4/9m is the length of the missing side (edit: my answer was wrong, correct answer is 3)
Step-by-step explanation:
to find the missing side, we are going to divide the known side by the area of the rectangle
11/(3 2/3)=22/9=2 4/9
Using the income statement below, calculate the following profitability ratios for Western Bookkeeping and Tax Service. Assume that stockholder's equity equals $441,600 and total assets equal $640,000.
Profit margin ratio
Return on equity ratio
Asset turnover ratio
Write the profit margin and return on equity ratios as a percent, rounded to the nearest percent. Write the asset turnover ratio as a decimal, rounded to two decimal places.
The computation of the profitability ratios for Western Bookkeeping and Tax Service is as follows:
Profit margin ratio = 8%Return on equity ratio = 8%Asset turnover ratio = 0.75.What are profitability ratios?Profitability ratios are the financial ratios that evaluate an entity's ability to convert its earnings (revenue) into profit versus different criteria.
Some of the common profitability ratios include:
Gross Profit MarginOperating Income RatioNet Income RatioReturn on Investment (ROI)Return on EquityReturn on Total AssetsAsset turnover RatioEarnings per share.Stockholders' equity = $442,600
Total assets = $640,000
Net sales = $480,000
Net income = $36,000
Profit margin ratio = Net income/Net Sales x 100
= $36,000/$480,000 x 100
= 7.5%
= 8%
Return on equity ratio = Net income/Shareholders' Equity x 100
= $36,000/$442,600 x 100
= 8.13%
= 8%
Asset turnover ratio = Net Sales/Total Assets
= $480,000/$640,000
= 0.75
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Write the linear
equation in slope
intercept form:
6x+3y=0
Answer:
y=-6x/3
Step-by-step explanation:
6x+3y=0
3y=-6x
y=(-6/3)x
Abby is filling a 100 quart dog bath using a 2 gallon bucket. how many buckets will it take to fill the dog bath?
You deposit $7200 in an account that pays 9.3% interest compounded yearly. Find the balance after 9 years.
a) $26751.86
b) $6696.00
c) $16029.28
d) $13896
Answer:
c
Step-by-step explanation:
the value, of a 7 in the millions place, is how many times greater than the value of a 7 in the ten thousands place?
Answer:
Your answer would be 100! :)
Help please fast- ACtually know the answer please
The solutions to the questions are:
Decay functionInitial value is 131,000Base is 0.946Function equation is f(x) = 131000(0.946)ˣValue in 2019 is $75193.90The function typeFrom the question, we have the following parameters that can be used in our computation:
The housing loses at a rate of 5.4% per year
The "loses at a rate" means that the function decreases with time
So, the function is a decay function
The initial valueFrom the question, we have the following parameters that can be used in our computation:
The house was worth of 131,000 in 2009
This represents the initial value
So, the initial value is 131,000
What is the exponential base for this problemThis is the decay factor of the function
Recall that
The housing loses at a rate of 5.4% per year
So, we have
Base = 1 - 5.4%
Evaluate
Base = 0.946
The function equationWe have
Initial = 131000
Base = 0.946
So, the function is
f(x) = 131000(0.946)ˣ
The value in 2019This means that x = 2019 - 2009
x = 10
So, we have
f(10) = 131000(0.946)^10
Evaluate
f(10) = 75193.90
Hence, the value is $75193.90
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Factor the algebraic expression.
240q- 760u + 104i- 52b - 36i
The graph of a rational function has local maximum at (-1,0) and (8,0). The complex number 2+3i is a zero of the function. What is the least possible degree of the function?
Answer:
what grade are you?....
graph y>2x+10
y<-x-3
_________
\( \: \)
Graph in the picture!
y > 2x + 10 = y - 2x - 10 > 0 y < -x - 3 = y + x + 3 < 0