charlie wants to make a one time investment into an account that earns 6% interest compounded semi annually. to earn $338,893 after 26 years, approximately how much money did he invest?
[tex]s = p(1 + \frac{r}{m} ) {}^{mt}[/tex]
A.$72,866.33
B.$74,492.08
C.$528,673.08
D.$217,239.10
Answers
Answer:
PV= $72,866.33
Step-by-step explanation:
Giving the following information:
Interest rate= 6% compounded semiannually
Number of periods= 26*2= 52 semesters
Future value= 338,893
To calculate the initial investment (PV), we need to use the following formula:
PV= FV/(1+i)^n
i= 0.06/2= 0.03
PV= 338,893 / (1.03^52)
PV= $72,866.33
Answer:
The correct answer is $72,866.33
Related Questions
Mark each statement True or False.
1. The equation Ax = b is referred to as a vector equation.
A. True
B. False
2. A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax = b has at least one solution.
A. True
B. False
3. The equation Ax = b is consistent if the augmented matrix [A b] has a pivot position in every row.
A. True
B. False
4. The first entry in the product Ax is a sum of products.
A. True
B. False
5. If the columns of an m x n matrix A span Rm, then the equation Ax = b is consistent for each b in Rm.
A. True
B. False
Answers
Answer:
True
Step-by-step explanation:
False
True
False
True
True
Find the percent of a number 20% of 155
Answers
Explanation:
1. Turn 20% into a decimal (0.20)
2. Multiply 155 by 0.2 to get the answer (155×0.2=31)
Hey there!
[tex]\text{The word \underline{of} means \underline{multiply} in \underline{mathematical terms}}[/tex]
[tex]\bold{Equation: 20\% \times 155}\\\bold{20\% = \dfrac{20}{100}=\dfrac{20\div20}{100\div20}=\dfrac{1}{5}}\\\bold{\dfrac{1}{5}\times 155=?}\\\bold{155\times1=155}\\\\\bold{\dfrac{155}{5}=31}\\\boxed{\boxed{\bold{Answer: 31}}}\huge\checkmark[/tex]
Good luck on your assignment and enjoy your day!
~[tex]\frak{Amphitrite1040:)}[/tex]
Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi equals 3.14 in any formulas used
Answers
Answer:
Perimeter = 65.12 in
Area = 292.48 in^2
which agrees with the second answer choice
Step-by-step explanation:
The perimeter is going to be the addition of the sides of the rectangle external to the composite figure ( 12 + 16 + 12 = 40) PLUS the length of half of the circumference or radius 8 inches (which is pi * radius = 3.14 * 8 = 25.12 in)
Then the total perimeter is:
Perimeter = 40 in + 25.12 in = 65.12 in
The are is going to be the area of the rectangle (12 * 16 = 192 square inches) PLUS the area of the semicircle of radius 8 in (pi *radius^2 /2 = 100.48 square inches).
Therefore the total area is:
Area = 192 + 100.48 = 292.48 in^2
I need help here with explanation pleaseeeee
Answers
A singles tennis court measures (8x – 2) ft long and (3x – 3) ft wide.Which expression represents the area of the court?
Answers
Answer:
The expression that represents the area of the court is: [tex]24x^2 - 30x + 6[/tex]
Step-by-step explanation:
Area of a rectangle:
A rectangle has length l and width w. The area of a rectangle is:
[tex]A = lw[/tex]
A singles tennis court measures (8x – 2) ft long and (3x – 3) ft wide.
This means that [tex]l = 8x - 2, w = 3x - 3[/tex]
Which expression represents the area of the court?
The tennis court is rectangular, so
[tex]A = lw = (8x - 2)(3x - 3) = 24x^2 - 24x - 6x + 6 = 24x^2 - 30x + 6[/tex]
The expression that represents the area of the court is: [tex]24x^2 - 30x + 6[/tex]
Which of these situations would follow the general rule for basis of inherited property?
Louis died on August 12, 2019, leaving his house to his sister, Etty.
On August 15, 2018, Leroy gave his brother Ralph appreciated stock. Leroy's brother Ralph died on February 16, 2019. Ralph's only heir was Leroy.
Mick died on June 30, 2019. He named his brother Emmett as the beneficiary of his 401(k) plan.
Janet died on January 1, 2019. At that time, she had an IRA with a balance of $32,640. She named her daughter, Emily, as the beneficiary of her IRA.
Answers
Amon the following situation 2 cases follow the general rule for basis of inherited property
Given , Statements of inheritance.
1. Louis died on August 12. 2019 leaving his house to his sister, Etty.
This is a case of inheritance of property as it justifies conditions of the definition of Inheritance of Property i.e Louis died and as a consequence his property is transferred to his sister which is her relative as per law. So, this is a valid case of inheritance. Even a person can transfer his property to some unrelated person, if he so mentions in his will.2. On August 15, 2018, Leroy give his brother Ralph appreciated stock. Leroy's brother died on February 16, 2019, Ralph's only heir was Leroy.
In this case, transfer of stock from Leroy to Ralph is outside the definition of inheritance, since Leroy was not died at that time. On second instance, when stock was transferred to Leroy after Ralph death in February 2019. It is a case of inheritance but it is the case of inheritance of stock, not inheritance of property. Stock of a company is not considered a property.3.Mick died on June 30, 2019. He named his brother Emmett as the beneficiary of his 401(k) plan.
A 401(k) plan is a retirement savings account that allows an employee to divert a portion of his or her salary into long-term investments. The employer may match the employee's contribution up to a limit.This is also a case of inheritance but not the case of inheritence of property. Retirement Savings account is not considered as property.
4.Janet died January 1, 2019. At that time, she had a IRA with balance of $32640. She named her daughter, Emily, as the beneficiary of her IRA.
This is also a case of inheritance but not the case of inheritence of property. IRA (Individual Retirement Account) is not considered as property.Know more about inheritance of property,
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If you Start with $10 in the bank and each month you add $20 which line equation will give you your total amount after X months?
Answers
Answer:
y=20x+10
Step-by-step explanation:
You start with $10, so this will be added on, and is not affected by the number of months.
You add $20 each month, so the 20 is dependant on x.
ANSWER: y=20x+10
Dawn is making an abstract painting with two triangles. the dimensions are 6 in by 10 in and 8 in by 10 in. what is the total area in square inches.
Answers
Anwser: First triangle area =0.5*8*10=40 in2. Secound triangle area =0.5*8*6=24 in2 Sum is 1st area + 2nd area, which is 64 in2.
28 decreased by 2.6%
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Given
28 decreased by 2.6%First we need to determine the percentage decrease such as:
Percentage decrease = 2.6% of 28
= 2.6/100 × 28
= 0.026 × 28
= 0.73
New value can be determined using the formula
New vaue = 28 - percentage decrease
= 28 - 0.73
= 27.27
Solve 22x − 2 = 15. Round your answer to the nearest hundredth.
Answers
Answer:
0.77
Step-by-step explanation:
Original equation: 22x-2=15
Add 2 to both sides: 22x=17
Divide by 22 on both sides: x=17/22, or 0.77
Let me know if this helps!
In the triangle below, angle B measures 60° and BC is 18. What is the length of AC?
Right triangle A B C is shown. Side B C is the hypotenuse.
9 StartRoot 3 EndRoot
StartFraction 9 Over StartRoot 3 EndRoot EndFraction
9
StartFraction StartRoot 3 EndRoot Over 9 EndFraction
Answers
Answer:
The Answer is D StartFraction StartRoot 3 EndRoot Over 9 EndFraction
Step-by-step explanation:
Answer:
the answer is D
Step-by-step explanation:
Trust me edge 2022
I need help please.
Answers
Answer:
D 18 percent
Step-by-step explanation:
So a percent s out of a hundred and you have 50 so it is more easy to double everything and make it a hundred
the equation should be 18 is what percent of 100 which is the same thing as 18/100
18 divided by 100 is .18
Kelly has 7 days to read 60 pages of a book for school. She plans to read 8 pages a night for 6 nights.What percent of the assigned pages will she have left to read on the last night?
Answers
Answer:
20 percent left
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
Need help don’t know what to do I’m confused
Answers
mr chowdhary purchased a house for rs 6.1 lakh and spent 30000 on its repairs. he then sold it rs 8 lakh. find his gain percent
Answers
Given:
Purchasing price = 6.1 lakh
Amount spent of repair = 30000
Selling price = 8 lakh
To find:
The gain percentage.
Solution:
We have,
Purchasing price = 6.1 lakh
Amount spent of repair = 30000 = 0.3 lakh
So, total cost price is
[tex]C.P.=6.1+0.3[/tex]
[tex]C.P.=6.4[/tex]
The total cost price is 6.4.
Selling price(S.P.) = 8 lakh
Now,
[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]
[tex]Gain\%=\dfrac{8.0-6.4}{6.4}\times 100[/tex]
[tex]Gain\%=\dfrac{1.6}{6.4}\times 100[/tex]
[tex]Gain\%=\dfrac{1}{4}\times 100[/tex]
[tex]Gain\%=25\%[/tex]
Therefore, the gain percent is 25%.
Elena says I find 25.44 and then move the decimal point
Answers
Answer: help a homegirl out
Step-by-step explanation: let me get these points please
please answer i know the picture is a little blurry but please i will give you brainliest!!
Answers
Answer: the 1st one.
Step-by-step explanation: becuase today I was helping out a freind with this. So it the first one
Select all that are equivalent to sin H.
1. cos H
2. cos Y
3. sin Y
4. sin W
5. tan W
6. cos(90-H)
7. sin(90-H)
Answers
Answer:
i believe 1-3-5
Step-by-step explanation:
Answer: the 2nd and 6th
Step-by-step explanation:
i did the test thing
Which relationships describe angles 1 and 2 ?
select each correct answer
-complementary angles
-vertical angles
-supplementary angles
-adjacent angles
Answers
Kimberly worked for 2 weeks. The shaded parts of the model represent the fraction of each week she worked from home.
Which expression can be used to determine the number of weeks Kimberly worked from home over these 2 weeks?
Answers
Answer
she worked 1 week and 1 day
Step-by-step explanation
The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues.
Answer:
Step-by-step explanation:
PLEASE ANSWER THIS QUESTION RIGHT.A ball thrown in the air has a height of h (t)
- 16t2 + 50t + 3 feet after t seconds.
Part A: What is the average rate of change for h(t) between t= 0 and t = 2?
A.36 Seconds per second
seconds per second
B.-36 feet per second
C.-18 seconds per second
D.18 feet per second
Answers
Sara had $108 to spend on 8 books. After buying them she had $12 left. Let b represent the cost of each book. Which equation represents this situation?
Answers
Answer:
12
Step-by-step explanation:
you take 108-12=96
then you take 96/8=12
what is the equation for the line shown? picture attached.
Answers
slope is rise/run so from (2,-1) to (0,2) you go up 3 and over 2
so it’s (3/2)x
and the line is going down when looking at it from left to right so we know it’s negative
then the other number is where the line crosses the y axis, which is positive 2
Combine like terms.
3(2-5) – (4w=11)
Answers
Answer:
-5 = w
Step-by-step explanation:
3(2-5) – (4w=11)
Distributive property
6 - 15 - 4w = 11
Combine like terms
-9 - 4w = 11
Add 9 on both sides
-9 + 9 - 4w = 11 + 9
-4w = 20
Divide by -4 on both sides to isolate the variable
-4w/-4 = 20/-4
w = -5
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:
i can solve this put first why is there an equal sign in between the parantasis
if you want to keep the equal sign delet the ()
Step-by-step explanation:
3(2-5) – 4w=11
-9-4w=11
-4w=20
w=-5
you have to do parantasis first
p--parantasis
e--exponents
m--multiplication
d--division
a--adition
s--subtraction
(a) What is wrong with the following equation? x2 + x − 42 x − 6 = x + 7 (x − 6)(x + 7) ≠ x2 + x − 42 The left-hand side is not defined for x = 0, but the right-hand side is. The left-hand side is not defined for x = 6, but the right-hand side is. None of these — the equation is correct. (b) In view of part (a), explain why the equation lim x → 6 x2 + x − 42 x − 6 = lim x → 6 (x + 7) is correct. Since x2 + x − 42 x − 6 and x + 7 are both continuous, the equation follows. Since the equation holds for all x ≠ 6, it follows that both sides of the equation approach the same limit as x → 6. This equation follows from the fact that the equation in part (a) is correct. None of these — the equation is not correct.
Answers
Answer:
Attached please find answer
Step-by-step explanation:
= (x² + x - 42) / (x - 6)
= [x² + (7x - 6x) - 42] / (x - 6)
= [x² + 7x - 6x - 42] / (x - 6)
= [(x² + 7x) - (6x + 42)] / (x - 6)
= [x(x + 7) - 6(x + 7)] / (x - 6)
= [(x + 7)(x - 6)] / (x - 6)
= x + 7 → when x approches 6
= 6 + 7
= 13
Other method:
Lim (x² + x - 42) / (x - 6)
x→ 6
When x → 6, there is an indeterminate expression because: 6 - 6 = 0
Do you know the l'Hôpital's rule, when x → a:
Lim [ f(x) / g(x) ] = Lim [ f'(x) / g'(x) ]
f(x) = x² + x - 42
f'(x) = 2x + 1
g(x) = x - 6
g'(x) = 1
= f'(x) / g'(x)
= (2x + 1)/1
= 2x + 1 → when x approches 6
= 12 + 1
= 13
What is the simplified form of (-3xy)(5xy-1)?
Answers
Answer:
-15x²y²+3xy
Step-by-step explanation:
((−3x)(y))(5xy−1)
=((−3x)(y))(5xy+−1)
=((−3x)(y))(5xy)+((−3x)(y))(−1)
=−15x²y²+3xy
By definition, the determinant equals ad - bc. What is the value of when x = -2 and y = 3? I NEED HELP PLEASE
Answers
Answer:
B. -84Step-by-step explanation:
Taking the determinant of the matrices we will have;
= 4x(5y) - 2x(3y)
= 20xy - 6xy
= 14xy
Given x = -2 and y = 3
Determinant = 14(-2)(3)
Determinant = -28*3
Determinant = -84
What would this be??????
Answers
Answer:
I think it's the second one(200(1.034)t = 250)
Step-by-step explanation:
if not correct me. or try the third one.
What is the constant of proportionality of y=9x so what does k=
Answers
Find the vertex and focus of the parabola.
x^2 + 4x - 8y + 12 = 0
Answers
The Vertex is (-2,1)
And the focus is (-2,3)
