Answer:
the second and the fourth have a range of real no
12. After 80 years of 5.8% interest compounded monthly, an account has $102,393.44. What was the
original deposit amount?
Answer:
12195508,42
Step-by-step explanation:
A(1-R) NA is the depositR is the % presentN is the time period (exponent)A(1-5.8%)80=102,393.44An account has $102,393.44 after 80 years of 5.8% compounded monthly interest. The initial deposit was around $991.45.
What is meant by deposit?A deposit is money held at a bank. A deposit is a monetary transaction in which money is transferred to another party for safekeeping.A deposit is money placed in a bank account. Deposits are classified into two types: demand deposits and time deposits. Checking, savings, and money market accounts are all examples of demand deposit accounts. Certificates of deposit (CD) and individual retirement accounts are examples of time deposit accounts.Therefore,
Assume that each year has 52 weeks: then compounding occurs.
n = 52 × 80n
times and the rate for each compounding is
[tex]$i=\frac{5.8 \%}{52}=\frac{0.058}{52}$[/tex]
If the original deposit amount is
PV
then the future value
FV
is equal to
[tex]$$F V=P V \cdot(1+i)^n=P V \cdot\left(1+\frac{0.058}{52}\right)^{52 \cdot 80}$$[/tex]
We know the future value (which is given as $ 102,393.44), so calculating the present value is simple:
[tex]P V=F \frac{V}{(1+i)^n}=\frac{\$ 102,393.44}{\left(1+\frac{0.058}{52}\right)^{52 \cdot 80}}[/tex]
The simplest way to compute this is to use a calculator:
[tex]$P V \approx \$ 991.45 .$$[/tex]
We can simplify this expression with great precision just for fun. It is well known that
[tex]$\left(1+\frac{1}{n}\right)^n \rightarrow e$[/tex]
which easily implies that
[tex]$\left(1+\frac{a}{n}\right)^n \rightarrow e^a$[/tex]
Here,
[tex]$$\left(1+\frac{0.058}{52}\right)^{52 \cdot 80}=\left(\left(1+\frac{0.058}{52}\right)^{52}\right)^{80} \approx\left(e^{0.058}\right)^{80}=e^{0.058 .80}=e^{4.64}[/tex]
That is, [tex]P V \approx F V e^{-4.64}$.[/tex]
Hence, An account has $102,393.44 after 80 years of 5.8% compounded monthly interest. The initial deposit was around $991.45.
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PLEASE HELP ME WITH GEOMETRY <3
Answer:
answer is 25
Step-by-step explanation:
EKJ = 90, same as JHF, and EJK is 65 (because EJF =115 and 180-115=65
65+90=155
180-155=25
The sum of two angles of a triangle is
110°. Calculate the third angle in
degrees.
Answer:
70
Step-by-step explanation:
the sum of all angles is 180°
so 180-110= 70
Please help!!!
THE POPULATION OF NEW YORK STATE CAN BE MODELED BY:
==========================================================
Explanation:
We plug t = 220 into the given function. The 220 is from 2020-1800 = 220, i.e. we have a span of 220 years from 1800 to 2020.
[tex]P(t) = \frac{19.71}{1+61.22e^{-0.03513t}}\\\\P(220) = \frac{19.71}{1+61.22e^{-0.03513*220}}\\\\P(220) = \frac{19.71}{1+61.22e^{-7.7286}}\\\\P(220) \approx \frac{19.71}{1+61.22*0.00044005976972}\\\\P(220) \approx \frac{19.71}{1+0.02694045910226}\\\\P(220) \approx \frac{19.71}{1.02694045910226}\\\\P(220) \approx 19.192933558417\\\\P(220) \approx \boldsymbol{19.193}[/tex]
This indicates that the population of New York state in 2020 is roughly 19.193 million.
This converts to 19,193,000 which is 19 million, 193 thousand.
---------------
Extra info:
According to census data (census.gov), the more accurate population figure appears to be 20,201,249 which is a bit over 20.2 million. The given population function isn't too far off.
Given the following computer output, select the correct least-squares regression line:
The correct form of the regression line is [tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D).
According to the information presented in the figure, we know the following function:
The independent variable is 'length'.The dependent variable is 'time'.The regression line is of the form: [tex]\ln y = A + B\cdot \ln x[/tex].Hence, the correct form of the regression line is:
[tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D)
The correct form of the regression line is [tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D).
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Answer:
D: logTime=0.699 + 0.500
Step-by-step explanation:
0.699 is the x value which can be found in data under Coef and Constant. The y value can be found under coef and log(length)
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled
Answer:
The height of the water increases 2 inches per minute.
Step-by-step explanation:
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
In ΔABC, m∠1=70° and m∠4=35°. What is m∠3?
Answer:
75
Step-by-step explanation:
A triangle can only have 3 angles that add up to 180 degrees. Subtract 70 and 35 from 180 to get 75.
180=x+70+35
180-(70+35)=x
End of Semester test geometry semester a question 29
Triangle DEF is dilated with respect to the origin by a scale factor of to produce ΔD'E'F'. What is the length of side D'E'?
A.
B.
C.
D.
The resulting coordinate will be D'(2, 6), E'(4, -6), and F'(0, 10),
Let the coordinate of the triangle DF be given as D(1, 3), E(2, -3) and F(0, 5).
For instance, if the coordinate point (x, y) is dilated by a factor of k, the resulting coordinate will be (kx, ky)Note that each of the coordinates is multiplied by the scale factor.
For the coordinates D(1, 3), E(2, -3), and F(0, 5), assuming the coordinate point is dilated by a factor of 2, the resulting coordinate will be D'(2, 6), E'(4, -6), and F'(0, 10),
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Note that the question is answered on a general term.
Answer:
√5
Step-by-step explanation:
I got it right on Edmentum
Hook me up with a 5 star and a thanks :)
sixty students at gillette road middle school play a winter modified sport. if there are 500 students in the middle school, what percent of students play a sport
Answer:
60/500=0.12
so 12%
Hope This Helps!!!
4.
The expression V-18 can be rewritten as ✓-1. 9. 2. What is a simplified version of the
expression?
А 3iv2
8 312
C -3iv2
D-3V2
Find the value of B.
200 + 50 + B = 100 + 47 + 10 + 100
Answer:
The value of B is 7.
B = 7
Answer:
B = 7
Step-by-step explanation:
first 100 + 47 + 10 + 100 = 257
second 200 + 50 = 250
257 - 250 = 7
Thando would like to beat the record for the 1600m race ,the previous record was a time of 7 minutes 23 seconds .if her race starts at 11:05:17 what time does she need to end the race to beat the record ?
Answer: 11:12:40
Step-by-step explanation: If im right pls give brainliest
A furniture maker used 2/3 of a can of paint to paint some chairs. He used 1/6 of a can of paint for each chair. How many chairs did he paint?
Answer:
4 chairs
Step-by-step explanation:
Start with 2/3 can of paint: (2/3)
He used 1/6 of the can to paint each chair: (divided by 1/6)
Now use the 'keep, change, flip' method to get the expression: (2/3x6/1)
Then simplify your answer: (12/3)
Lastly simplify again: (4)
Thus, he painted 4 chairs.
What of the following exponential functions is represented by the data in the table?
A) f(x)=(1/3)^3
B) f(x)=3^x
C) f(x)=x^3
D) f(x)=x1/3
Answer:
f(x) = ( 1/3) ^ (x)
Step-by-step explanation:
The function is
f(x) = (1/3) ^ (x)
When x = 1 f(x) = 1/3
when x=2 f(x) = 1/9
When x = -1 f(x) = ( 1/3) ^ -1 = 3/1 =3
Answer:
f(x)=(1/3)^x
Step-by-step explanation:
Plug in the given values of x in the function above and match the answers with f(x) which is y.
11. Given a matrix A, what is A^1?
A=[0 12 0 1]
[tex]\text{Since det(A) = 0, the inverse of the matrix does not exist.}[/tex]
3/2x-5=-4/7x+1/5 please
The value of x in the equation is 364/145
The equation is given as:
[tex]\frac 32x - 5= -\frac 47x + \frac 15[/tex]
Collect the like terms
[tex]\frac 32x + \frac 47x= 5 + \frac 15[/tex]
Take the LCM
[tex]\frac{21x + 8x}{14} = \frac{25 + 1}{5}[/tex]
Evaluate the sum
[tex]\frac{29x}{14} = \frac{26}{5}[/tex]
Cross multiply
[tex]145x = 364[/tex]
Divide both sides by 145
[tex]x = \frac{364}{145}[/tex]
Hence, the value of x in the equation is 364/145
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2+6i/2-4i = a + bi What is the value of a? What is the value of b?
[tex]\dfrac{2+6i}{2-4i}\\\\\\=\dfrac{2(1+3i)}{2(1-2i)}\\\\\\=\dfrac{1+3i}{1-2i}\\\\\\=\dfrac{(1+3i)(1+2i)}{(1-2i)(1+2i)}\\\\\\=\dfrac{1+2i+3i+6i^2}{1-(2i)^2}\\\\\\=\dfrac{1+5i-6}{1+4}~~~~;[i^2=-1]\\\\\\=\dfrac{5i-5}{5}\\\\\\=\dfrac{5(i-1)}5\\\\=i-1\\\\=-1+i\\\\\text{It is in a form of a +bi so,}~ a = -1~ \text{and}~ b = 1[/tex]
Bethany posts a lit selfie yo, and she receives 49 likes in the first 7 minutes. At this rate, how many likes will she have in 10 minutes?
Answer:
70 likes
Step-by-step explanation:
49 likes / 7 minutes = 7 likes / minute
10 minutes * 7 likes / minute = 70 likes / 10 minutes
PLEASE HELP -7y + 11 = 75 + y
Answer:
y = -8
Step-by-step explanation:
-7y + 11 = 75 + y
Bring the "y" variable on one side, and rest on the other.
Rearranging, we get,
-7y - y = 75 - 11
-8y = 64
-y = 8
y = -8
Hope it helps :)
9. The 10,000 seat stadium is 89% full. How many people are watching the game inside the stadium? with solution pls.
Lisa is earning 7.50 dollars per hour she worked for 33 hours last week. how much money did she earn?
Answer:
Lisa earned $247.50 for working 33 hours.
Step-by-step explanation:
WAY 1: proportional reasoning
7.50 x
------ = ----
1 h 33h
33 / 1 = 33
7.50 x 33 = 247.5
WAY 2: unit rate reasoning
7.50 per hour so x value of money for 33 h
7.50 x 33 = 247.5
Answer:
247.50 Dollars
Step-by-step explanation:
If Lisa earns 7.50$ per hour and she has worked for 33 hours, and then if the question asks how much money she earned it'd have to be 7.50*33. Which is 247.50, and its asking how much money so then you'd have to write the dollars next to the answer, so the answer is,
247.50 Dollars
how many more seconds does it take to drive 1 mile at 40 miles per hour than 60 miles per hour
Answer:
165 seconds
Step-by-step explanation:
If you were going steadily 60 miles per hour, you would go one mile in one minute. So, if you were going steadily 40 miles per hour, without your speed going up or down, you would get through one mile in 3 3/4 minutes (which is 165 seconds more than 1 minute).
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Integer Exponents
#1: Simplify the expression below using properties of exponents. Write your
answer using positive exponents. *
5-2
Answer:
Step-by-step explanation:
5 - 2 cannot be further simplified? No properties of exponents can be used due to already knowing the answer of the top of your head, it could be a mistype though, or I'm just very very d*mb.
A recipe to make 5 cupcakes calls for 10 tablespoons
of sugar. Alicia wants to make 10 cupcakes using this
recipe. What equation will she need to use to find out
how many tablespoons of sugar to use?
Answer:
10×5
Step-by-step explanation:
put a zero at the end of five and make it 50
48 is what percent of 12
Answer:
48 is 25% of 12
Step-by-step explanation:
What is thermodynamics
Answer:
Thermodynamics is a branch of physics that deals with heat, work, and temperature, and their relation to energy, entropy, and the physical properties of matter and radiation.
A book club charges an initial joining fee of $30.00. The cost per book is $7.00. The graph shows the cost of belonging to the club as a function of books purchased. How will the graph change if the cost per book goes up by $1.50? (The new function is shown by the dotted line.)
Answer:
$82.50
Step-by-step explanation:
You add seven dollars to $1.50 and you would get the sum of 8.50 then you multiply the amount of books purchased. The Equation is 5($8.50) + $30.00= 82.50
Sorry if I get this wrong.
Help me plz plllzzzz
I thought of a number. My friend thought of a number too. A third of my number is a half of his number. Who's number is bigger?
Answer:
yoours
Step-by-step explanation:
thanks again for your time and consideration and I am a kid I am a kid