Mr. Hayes opened an account with a deposit of $3,500
1)The account earned compound interest
2) He did not make any additional deposits or
withdrawals
3)At the end of 5 years his balance was
$4,097.01
What is the annual interest rate on this account?
A) 2.8%
D) 44%
B) 32%
E) 51%
C 37%
F) None of the above
Answers
9514 1404 393
Answer:
B) 3.2%
Step-by-step explanation:
The future value is given by ...
A = P(1 +r)^t
Filling in the given information, we can solve for r.
4097.01 = 3500(1 +r)^5
4097.01/3500 = (1 +r)^5 . . . . divide by 3500
(4097.01/3500)^(1/5) = 1 +r . . . . take the 5th root
(4087.01/3500)^(1/5) -1 = r ≈ 0.032 = 3.2%
The annual interest rate on this account is 3.2%.
Related Questions
Don’t quite understand.
Answers
Answer:
(a) Same slope and different y intercept
Step-by-step explanation:
Given
[tex]y = \frac{3}{7}x + 11[/tex]
[tex]-3x + 7y = 13[/tex]
Required
Are the lines, parallel?
To do this, we first convert both equations to slope intercept;
[tex]y = mx+ b[/tex]
Where
[tex]m = slope[/tex]
So, we have:
[tex]y = \frac{3}{7}x + 11[/tex]
[tex]-3x + 7y = 13[/tex]
Solve for 7y
[tex]7y = 3x + 13[/tex]
Solve for y
[tex]\frac{7y}{7} = \frac{3x}{7} + \frac{13}{7}[/tex]
[tex]y = \frac{3}{7}x + \frac{13}{7}[/tex]
So, the two equations are now:
[tex]y = \frac{3}{7}x + 11[/tex]
[tex]y = \frac{3}{7}x + \frac{13}{7}[/tex]
When two lines have the same slope but different y intercepts, then they are parallel.
Recall that:
In [tex]y = mx + b[/tex]
[tex]m = slope[/tex]
[tex]b = y \ intercept[/tex]
So:
In [tex]y = \frac{3}{7}x + 11[/tex] and [tex]y = \frac{3}{7}x + \frac{13}{7}[/tex]
The slopes are:
[tex]m = \frac{3}{7}[/tex] and [tex]m = \frac{3}{7}[/tex]
The y intercepts are:
[tex]b = 11[/tex] and [tex]b = \frac{13}{7}[/tex]
Since the values of m (the slope) are the same and the values of b (the y intercepts) are differenr, then they are parallel
Brandon is filling a flower bed with soil. The flower bed is shaped like a rectangular prism and measures 15 feet long and 3 feet tall. If it holds 405 cubic feet of soil, how many feet wide is Brandon's flower bed?
Answers
Answer:
9 meters
Step-by-step explanation:
I don't know step by step if jts wrong tell me.
There are 31 motor scooters on a used car lot, along with 67 other vehicles.
What is the probability that a randomly selected vehicle will be a motor scooter?
Write your answer as a fraction or whole number.
Answers
Answer:
31/98
Step-by-step explanation:
31 motor scooters
67 other vehicles
31 + 67 total vehicles
31 + 67 = 98
The probability is motor scooters/total vehicles
31/98 is the answer.
Ao se olhar para a história da Álgebra, desde os primórdios quando o objeto de estudo eram equações algébricas específicas até o estabelecimento de uma área de pesquisa que hoje é essencialmente abstrata (se levarmos em conta muitos dos problemas considerados atualmente pelos pesquisadores), perceberemos um longo caminho de busca de padrões e sedimentação teórica. Essa mesma história nos ensina como aconteceu o difícil estabelecimento dessa área de conhecimento. Houve a necessidade da construção de uma linguagem simbólica apropriada às questões tratadas aliada à consequente emersão de conceitos algébricos cada vez mais abstratos. Só assim a Álgebra se consolidou como área de conhecimento, área essa que é, portanto, fruto de um desenvolvimento histórico e não inata ao ser humano. Dito de outra forma, o conhecimento da Álgebra precisa do meio social para ser aprendido e assimilado pelo indivíduo. De acordo com a nossa estrutura social, esse ensino compete à escola ou, mais especificamente, à disciplina de Matemática. Calcule o produto dos monômios : (4 y²) . (4y)
com calculos pfvr
Answers
Answer:
44
Step-by-step explanation:
Trust
Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?
Answers
Answer:
$230.04
Step-by-step explanation:
216 * 0.065= 230.04
What is the radian measure of an angle of 230º?
Answers
10 POINTS!!!!which polynomial represents the sum below?
Answers
Answer:
The right answer to the question is A
Pls awnser i will give brailiest
Answers
Answer:
A. 124
Step-by-step explanation:
first i found the area of the circle which is 113
then i multiplied that which gave me 452
then i used what's given "6" for a half circle and multiplied it by 4 and that gave me the size of one side of the square 24
then i multiplied 24 x 24 which is 576 the area of the square
lastly i subtracted 576-452
Brainliest pls
Question 1 (2 points)
Nicole earns a 4.5% commission at LuLu Lemon. She sold $800 worth
of gear. How much was her commission
Answers
Answer:
36
Step-by-step explanation:
Exam
AABC ~ AQRS
Find the missing side length, m.
B
10
m
А
6
9
m = [?]
Answers
Answer:
m = 15
Step-by-step explanation:
Since ∆ABC ~ ∆QRS, this implies that the ratio of their corresponding side lengths are equal. Thus:
QR/AB = QS/AC
QR = m
AB = 10
QS = 9
AC = 6
Plug in the values
m/10 = 9/6
m/10 = 3/2
Cross multiply
2*m = 3*10
2m = 30
m = 30/2
m = 15
Which statement correctly compares the function shown on this graph with
the function y = 5x + 5?
-10-8-642
2 4 6 8 10
A. The function shown on the graph has a smaller rate of change and
a lower starting point.
B. The function shown on the graph has the same rate of change, but
a lower starting point.
OC. The function shown on the graph has the same rate of change, but
a higher starting point.
D. The function shown on the graph has a smaller rate of change, but
the same starting point.
Answers
Please help me I'm so bad at math and doing AFDA really doesn't help..
Order of operations on this equation
Answers
Answer:
The answers to your questions are given below.
Step-by-step explanation:
x² – 24 = 10x
Using the format given in the question above, we shall determine the value of x as follow:
I. Make the equation equal to zero
x² – 24 = 10x
Rearrange
x² – 10x – 24 = 0
II. Find two numbers that multiply to __ and add to ___
Multiply the first term (i.e x²) and the last term (i.e –24). The result is –24x².
Find two factors of –24x² such that their sum will result to the 2nd term (i.e –10x). The numbers are 2x and –12x
Thus, Find two numbers that multiply to –24x² and add to –10x
III. Factored equation
x² – 10x – 24 = 0
x² + 2x – 12x – 24 = 0
x(x + 2) – 12(x + 2) = 0
(x – 12)(x + 2) = 0
Thus, the factored equation is:
(x – 12)(x + 2) = 0
IV. The solution are:
(x – 12)(x + 2) = 0
x – 12 = 0 or x + 2 = 0
x = 12 or x = –2
Thus, the solutions are x = 12 or x = –2
Which point is located at (0.25, -0.50)?
A
C
T
Answers
Answer:
i would say R
Step-by-step explanation:
Answer: The answer is R
Step-by-step explanation:
Solve for x using
cross multiplication.
3x - 3
2x – 2
=
5
4
x = [?]
Answers
Answer:
Step-by-step explanation:
Given
(3x - 3) / 5 = (2x - 2) / 4
Begin by cross multiplying
Solution
4(3x - 3) = 5(2x - 2) Use the distributive property to remove brackets12x - 12 = 10x - 10 Add 12 to both sides.12x = 10x - 10 + 12 Combine the right12x = 10x + 2 Subtract 10x from both sides12x-10x = 2 Combine the left2x = 2 Divide by 2x = 2/2x = 1Note: the original equation gives you 0/5 = 0/4 which is 0 = 0.
For which of the following sample sizes is the sample median most likely to be above $250,000?
A. n = 10
B. n = 50
C n = 100
D. n = 1000
E Impossible to determine without more information
Answers
Answer:
A. n=10
Step-by-step explanation:
your welcome
Answer:
n=100
Step-by-step explanation:
In a residential neighborhood, the median value of a house is $200,000. For which of the following sample sizes is the sample median most likely to be above $250,000? That was the exact question I had on the quiz. I'm not sure why it is n=100, but I got it correct.
During the first week of registration, 35 people signed up for the Health Fair 5K and Fun
Run. The next week, 28 more people signed up. On the day of the race, 12 runners did not
show up. However, at the last minute 16 people came in for late registration. Which
expression shows how many people ran in the 5K and Fun Run
Answers
Answer:
The expression that shows how many people ran in the race is 35 + 28 - 12 + 16 = X, and the number of people that ran is 67.
Step-by-step explanation:
Since during the first week of registration, 35 people signed up for the Health Fair 5K and Fun Run, and the next week, 28 more people signed up, and on the day of the race, 12 runners did not show up but, however , at the last minute 16 people came in for late registration, to determine which expression shows how many people ran in the 5K and Fun Run and determine said amount, the following calculation must be performed:
35 + 28 - 12 + 16 = X
79 - 12 = X
67 = X
Thus, the expression that shows how many people ran in the race is 35 + 28 - 12 + 16 = X, and the number of people that ran is 67.
Sevilya bought a new computer. She had to pay 8% in sales tax. The cost of the computer is $1,000. How much did she pay in total? Show all work
Answers
Answer:
1080
Step-by-step explanation:
1000*8%=80
1000+80=1080
In 32 days, a person saved $56. What was the person's average daily savings?
Answers
Answer: $ 1792
Step-by-step explanation:
Is Michael correct? Will choose brainly
Answers
Help please will mark brainliest!
Answers
Answer:
106
Step-by-step explanation:
i just need 2 more questions please helppp
Answers
Answer:
it prolly might be 90 coz vertically opposite triangles
120+x=180
x=60
Huiling bought 18 chicken nuggets.
She ate 6 of them.
What fraction of the chicken nuggets did she eat?
Give your answer in its simplest form.
Answers
Answer:
2/3
Step-by-step explanation:
I think that's the answer.
Raymond bought wrapping paper that cost
$0.04 per square inch. How much did it cost to
wrap this box.
Answers
Answer: $46.08
Step-by-step explanation:
Find the surface Area of the box
the bases are 12*12= 144 times 2 bases 144*2= 288
The area of each side is 12*18=216 times 4 sides 216*4=864
add the totals together to find the total surface area 288+864=1152
total surface area is 1152 inches. Multiply by the cost per square inch
1152*.04= 46.08
DONT SCAM ME WITH A LINK
Answers
Answer: 2
600/3 = 200 meaning that each gallon of paint covers 200 sq ft
The 'mean', the 'median' and the 'mode' are all measures of central tendency.
A: True
B: False
Answers
Answer: It would be True
Given the function rule f(x) = x^2 - 5x + 1, what is the output of f(-3)?
a. 7
b. -5
c. 25
d. 5
Answers
Answer:
C
Step-by-step explanation:
To evaluate f(- 3) substitute x = - 3 into f(x) , that is
f(- 3) = (- 3)² - 5(- 3) + 1 = 9 + 15 + 1 = 25
Based on the information in the diagram, what is the length of side b?
Answers
Answer:
29
Step-by-step explanation:
The length of side b is 36.
What is the length of side b?
Triangle 1 and 2 are similar triangles. In order to determine the length of side b, the ratio of the lengths given has to be determined.
45/10 = 4.5
This means that triangle 2 is 4.5 times larger than triangle 1.
Length of side b = 4.5 x 8= 36
To learn more about similar triangles, please check: https://brainly.com/question/10658464
help with math thanks so much:)
Answers
Answer:
4/3Step-by-step explanation:
1/2 ÷ 2/3 = 1/2 x 3/2 = 3/4 -_- so easy
Answer:
The first one is three the second is four
Step-by-step explanation:
1/2÷2/3 (do copy, dot, flop)
1/2·3/2
1·3=3
2·2=4
3/4
The two numbers in bold are the answers
please help me
what is 11 1/4in 3 1/2in and 4 1/2in as whole numbers
Answers
Answer:
45/4 7/2 9/2
Step-by-step explanation:
I'm not sure if this is what you wanted so if its not sorry.
S a. A
Graph the line with slope - 2 passing through the point (1, -5).
Answers
Answer:
The graph is attached
Step-by-step explanation:
Answer:
y = -2x - 3
Step-by-step explanation:
**hopefully the picture helps it to make sense**
good luck
i hope this helps
brainliest would be highly appreciated
have a nice day!
