Step-by-step explanation:
Given:
Deposit P = $9000Interest rate r = 5% = 0.05Time t = 1 yearNumber of compounds n = 4A. Find the value of one year
[tex]A = P(1 + r/n)^{nt} = 9000(1+0.05/4)^4=9458.51[/tex]B. Use the future value formula for simple interest to determine the effective annual yield
[tex]A=P(1+rt)\\[/tex][tex]r=(A/P-1)/t[/tex][tex]r=(9458.51/9000-1)/1=0.0509[/tex] r = 5.1%Answer:
A) $9458.51
B) 5.09% (2 d.p.)
Step-by-step explanation:
Part ACompound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $9000r = 5% = 0.05n = 4 (quarterly)t = 1 yearSubstitute the given values into the formula and solve for A:
[tex]\implies \sf A=9000\left(1+\frac{0.05}{4}\right)^{4 \times 1}[/tex]
[tex]\implies \sf A=9000(1.0125)^4[/tex]
[tex]\implies \sf A=9458.508032...[/tex]
Therefore, the value of the account after 1 year is $9458.51.
Part BSimple Interest Formula
A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
A = $9458.51P = $9000t = 1 yearSubstitute the given values into the formula and solve for r:
[tex]\implies \sf 9458.51=9000(1+r(1))[/tex]
[tex]\implies \sf 9458.51=9000(1+r)[/tex]
[tex]\implies \sf \dfrac{9458.51}{9000}=1+r[/tex]
[tex]\implies \sf r=\dfrac{9458.51}{9000}-1[/tex]
[tex]\implies \sf r=0.050945...[/tex]
[tex]\implies \sf r=5.0945... \%[/tex]
Therefore, the effective annual yield is 5.09% (2 d.p.).
What prism is this?
Answer:
A trapezoid prism from the looks of it.
Step-by-step explanation:
Hope this helps!
5 is to 1 as 0.5 is to
A. 1
B. 0.1
C. 0.01
D. 5
E. 0.5
F. 0.15
Answer: 0.1
The relationship from 5 to 1 is divided by 5. So, using that, 0.5 divided by 5 is 0.1.
:)
simplify the expression. Please help me
Answer:
The answer is 19
Step-by-step explanation:
I forgot how I figured it out but I did
Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning. Find the following probabilities. (Round your answers to three decimal places.)
(a) All of them dislike their mother-in-law.
Incorrect: Your answer is incorrect.
(b) None of them dislike their mother-in-law.
(c) At least four of them dislike their mother-in-law.
(d) No more than three of them dislike their mother-in-law.
The probability is equal to 0.9788.
We have given that,
Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that six married women are having coffee together one morning.
We have to find the probability
Probability all dislike is
[tex]0.85^8= 0.27[/tex]
What is the probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
The probability that none dislike is,
[tex]0.15^8= 2.6 \times 10^{(-7)}[/tex]
At least 5 dislike
5 dislike 8C5
[tex](0.85)^5(0.15)^3= 0.0839[/tex]
6 dislike 8C6
[tex](0.85^6 0.15)^2= 0.2376[/tex]
7 dislike
[tex]8*(0.85^7) (0.15)=0.3848[/tex]
8 dislike
[tex]0.85^8= 0.2725[/tex]
Therefore the probability is equal to 0.9788.
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45 to 60 using percent of change unit.
Answer:
A change from 45 to 60 represents a positive change (increase) of 33.3333333333%
Step-by-step explanation:
Percent change = 60 - 45
45
× 100 = 33.333333333333 % (increase)
Answer:
33.3% increase
Step-by-step explanation:
Percent of Change =
[tex] \frac{change}{original} [/tex]
The change would be 15:
60 - 45 = 15
So the percent of change would be:
15/45 = 1/3 = 33.3% increase
Hope this helps! Brainliest would be appreciated!
2.) Carl had 16 candles that he spent $44.56 on. If his budget was $35 dollars how much did he
go over.
Answer:
he went $9.56 over
Step-by-step explanation:
Please help! Will brainliest!
Answer:
a= 6-b ,,, a+b=6
a+b= -2a-3,,, 3a+b=-3
2a=-9,,, a= -9/ 2
b= 21/2
Angle ABC measures 35 and angel BAC meausures 115
Answer:
a. 115 degrees
b. 35 degrees
c. 30 degrees
Step-by-step explanation:
Ailani babysits for a neighbor after school. Allani deposits 20% of the money that she earns each week in a savings account. If Ailani earns $85 each week, how much money will she deposit each week?
Answer:
$17
Step-by-step explanation:
20% of 85 is 17
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
I believe the correct option would be C, 2p-4. I hope this helps you! :)
Answer:
C. 2p-4
Step-by-step explanation:
Need this by tomorrow please and thank you!
Answer:
I think it's x=5
Step-by-step explanation:
3x+15=2x+20
-2x. -2x
x+15=20
-15. -15
x=5
sorry if is not the answer
Which of the following equations gives the
relationship between the price in dollars, p, and the
number of pieces of salt-water taffy, s, in a bag of salt-
water taffy from Walter's Watery Taffy?
Answer: p=0.25s
Step-by-step explanation: I am taking the test to
The correct equation is p = ms + b, where m and b are constants.
This equation represents a linear relationship between the price p and the number of pieces of salt-water taffy s. The constant m represents the slope of the line, and the constant b represents the y-intercept.
The other equations are not correct because they do not represent a linear relationship. For example, the equation p = [tex]s^2[/tex] represents a quadratic relationship, and the equation p = s/2 represents a linear relationship with a slope of 1/2.
Here is a brief explanation of why the correct equation is p = ms + b.
The price p is a linear function of the number of pieces of salt-water taffy s. This means that the price increases at a constant rate as the number of pieces of salt-water taffy increases.
The constant m represents the slope of the line. The slope of the line tells us how much the price increases for every additional piece of salt-water taffy.
The constant b represents the y-intercept. The y-intercept tells us the price when the number of pieces of salt-water taffy is 0.
Therefore, the correct equation is p = ms + b.
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Help with this question, ONLY NEED TO DO NUMBER 5!!
Answer:
Kendra stayed constant after two hours: meaning she could have went out or done whatever. She has stayed constant until (5,100) and then at (6,45) she started to go downhill.
Basically the graph goes (0,210) starting point; (1.5,155) started to go downhill; (2,100) stayed CONSTANT until (5,100) and at (6,45) she went downhill.
Yk for the answer hoped it helped :D
Step-by-step explanation:
A submarine sits at -300 meters in relation to sea level. Then it descends 115 meters. What is its new position in
relation to sea level?
O
-415 m
O
-185 m
O
-115 m
O
-100 m
solve pls brainliest
Divide 47 by 14:
Answer 3.357
Rounded to nearest hundredth: 3.36
What is the length of side s of the square shown below? 45° 6 30
A. 34
B. 6
C. 3
D. 6-2
E. 2
F. VE
Answer:
The correct answer should be D.
Step-by-step explanation:
.
Simplify: -8(13 – 5c + 12d)
a -104 – 5c + 12d
b -104 - 40c - 96d
c -104 -13c + 4d
d -104 + 40c – 96d
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Simplification ~
[tex] - 8(13 - 5c + 12d)[/tex][tex]( - 8 \times 13) + ( - 5c \times - 8) + ( - 8 \times 12d)[/tex][tex] - 104 + 40c - 96d[/tex]Correct choice is D
Simplify: -8(13 – 5c + 12d)
= −8 (13−5c+12d)
= (−8×13) + (−5c×−8) + (−8×12d)
= - 104 + 40c - 96d
Correct option is D
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Answered by:-Cutest Ghost (･◡･)▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪
Help solve
−3'3(2 − 4 + 5)
2( − 3 + 4) − 3(2 − + 7)
Answer:177
Step-by-step explanation: -3'3(2+1) 2(1)-3(-5)
=-27(3) ×-2 +15
=-81×(-2)+15
=162+15
=177
If the sales tax rate is 7.8%, what will be the amount of sales tax on a $74 calculator?
State your answer in terms of dollars, rounded to the nearest cent
Do not include a $ sign with your response.
Answer:he sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.
Step-by-step explanation:
will this help
pls I need help I need it
Answer:
You would need 23 inches to build it
HELP ME, THE MIDPOINT OF AB IS M (-4,-7). If the coordinates of A are (-7,-6) what are the coordinates of B?
Answer:
(-1,-8)
Step-by-step explanation:
Multiply each value of midpoint by 2 and take away given points coordinates
Pairs of expressions are given. Select the pairs that are equivalent .
Answer:
All the options are correct
What is the distance from the point (-6, 2) to the point (2, 17)
19.21 units
15.13 units
17.00 units
19.10 units
20.62 units
Answer:
17
Step-by-step explanation:
sqrt((2-(-6))^2+(17-2)^2)
what is the product of 1/2 and 3/5 ?
Answer:
3/10
I think??
Answer:
The answer is 0.3
don't really have a step-by-step explanation just either look it up or do it on a calculator
Solve the equation to find a positive value of c:
62 + 82 = c2
(20 points)
Answer:
The equation has 2 solutions
c = -12
c = 12
Step-by-step explanation:
Swap the sides
c² = 62 = 82
Simplify the equation
c² = 144
separate the solutions
c = ± 12
Solution
c = -12
c = 12
Find the principal invested when they account earns $804 in interest at 6.1 annual interest rate for two years. round to the nearest hundredth.
Question 1:
Write the specific equation for the kinetic energy E (measured
in Joules) of an 1100-kg car. Use this equation to compare the kinetic
energy of an 1100-kg car moving at a velocity of 10 meters per second to
the kinetic energy of the same car moving at 3 times the velocity.
Answer:
Step-by-step explanation:
KE = ½mv²
KE₁₀ = ½(1100)10² = 55000 = 55 kJ
KE₃₀ = ½(1100)30² = 495000 = 495 kJ
9 times greater
What is the volume of the basement?
Volume = Length × Breadth × Height
So you are absolutely right, it is 252 yards squared
What is the length of BC?
A.7
B.12
C.13
D.17
E V60
F. V119
Answer:
BC = 13
Step-by-step explanation:
Pitagoras:
H^2= 5^2 + 12^2
H^2=25 + 144
H^2= 169
H= V 169 ---- square root
H= 13 -------BC
Answer: C. 13
Step-by-step explanation:
Using pythagoras ;
[tex]BC = \sqrt{5^{2}+12^{2} }[/tex]
[tex]BC=\sqrt{25 + 144}[/tex]
[tex]BC =\sqrt{169}[/tex]
[tex]BC= 13[/tex]
Please give me a brianliest answer
Select another way to show 25 times 18