$100 is borrowed at 9% interest per year. How much is owed after one year if interest is compounded :
a. annually?
b. monthly?
c. continuously?
Answer:
Step-by-step explanation:
a). Formula to be used,
A = P(1 + i)ⁿ
= 100(1 + 0.09)¹
= $109
b). Formula to be used,
A = [tex]P(1+\frac{i}{12})^{12n}[/tex]
= [tex]100(1+\frac{0.09}{12})^{12\times 1}[/tex]
= [tex]100(1+0.0075)^{12}[/tex]
= 100 × 1.0938
= $109.38
(c). Formula to be used,
A = [tex]Pe^{i\times n}[/tex]
= [tex]100e^{1\times 0.09}[/tex]
= [tex]100(e)^{0.09}[/tex]
= $109.42
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The ratio of wins to losses is the same for four basketball teams. complete the table to show how many wins and losses each team has.
Put answer in order of a,b,c
Answer:
A= 8 B=30 C=14
Step-by-step explanation:
Answer:
A:8 B:30 C:14
Step-by-step explanation: Please mark me brainliest!
How many kilometers are in 2 miles? 1.24 km 3.21 km 0.80 km
Answer:
3.21869 km
Step-by-step explanation:
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Answer:
yeah❤
Peter Piper picked a pack of pickled pepper. If Peter Piper picked a pack of pickled peppers, how many packs of pickled peppers did Peter Piper pick?
Given the graph of f(x), graph f(x) +3
Answer:
move up by 3
Step-by-step explanation:
Graphs are quite tricky. But because they give you what f(x) all you need to do is move everything up by 3
A standard clock has a 1-cm hour hand and a 2-cm minute hand. At 12 pm, they are both pointing in the same direction and the distance between the ends of the hands is 1 cm. What is the exact distance between the ends of the hands at 2 pm
Answer:
The distance between the hands is √(3)cm ≈ 1.73cm.
Step-by-step explanation:
In a standard clock, the angle between every number is 30°, therefore the angle between 12 and 2 will be 30° x 2 = 60°.
Looking at the diagram, to find c we can make use of our cosine formula
c² = a² + b² –2abCos(C°)
a = 2, b = 1 and C° = 60°
Therefore we have:
c² = 2² + 1² –2 x 2 x 1 x cos(60°) =
c² = 4 + 1 – 4 x 0.5 =
c² = 5 – 2 =
c² = 3
c = √(3) ≈ 1.73
Therefore, the distance between the hands is √(3)cm ≈ 1.73cm.
Question 2
What does the flow of electricity require?
A
conductors and an open circuit
B
insulators and an open circuit
C
conductors and a closed circuit
D
insulators and a closed circuit
Answer:
a
Step-by-step explanation:
what is the greatest common factor of 3/5
Answer:
15
Step-by-step explanation:
3 × 5 = 15
Hope this helped <3
If u help me with this question you are amazing ❤️❤️
Answer:
the answer is A 90+0.25x=147.50
Step-by-step explanation:
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What is the solution of the system? 2x + 5y = 14 x + 3y = 16
See attachment for math work and answer.
what two numbers have a sum of -10 and a product of 24?
Answer:
-6 and -4.
Step-by-step explanation:
- 6 + - 4 = - 6 - 4 = -10.
- 6 times - 4 = 24, because multiplying 2 negatives gives you a positive.
A good way to approach these is to find the factors of 24.
Your answer is: -6 and -4.
In 1923, a certain country underwent one of the worst periods in history of hyperinflation, which is extraordinarily large inflation in prices. At the peak of the hyperinflation, prices rose 11,000% per month. At this rate, by what percentage would prices have risen in 1 year? In 1 day? (Assume 30 days per month.)
The annual inflation rate is ___ x 10 ^ ___%
(Type whole numbers.)
The daily inflation rate is ___ %.
(Round to the nearest whole number as needed.)
Answer: 3.498 * 10^26 % ; 16.9% per day
Step-by-step explanation:
Inflation rate = 11,000 per month
Hence, price after a month :
Final price = initial price (1 + rate)
Final price = 1 + 11000/100
Final price = (1 + 110) * initial price
Final price = 111 times the initial price
Hence inflation over the 12 month period :
(111)^12 = 3.498 * 10^24
(3.498 * 10^24) * 100% = 3.498 * 10^26 %
The daily inflation rate :
Number of days = 30
30th root of 3.498 * 10^24 = 1.169
(1.169 - 1) = 0.169
0.169 * 100% = 16.9% per day
what are the missing angles?
Find the area of a circle with a diameter of 6 cm
The Garcia family bought 400 yards of fencing to enclose wildflower garden. They will use all of the fencing . What is the area enclosed by the fence?
Answer:
circumference = pi*diameter
400 = 3.14 * d
d = 400 / 3.14
d = 127.4 yards
please help me asap
Answer:
answer is c
Step-by-step explanation:
Which of the following ratios are equivalent to 34:21?
Answer:
https://brainly.com/question/19692618
Step-by-step explanation:
https://brainly.com/question/19692618https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618 https://brainly.com/question/19692618
Molly has 9 lollipops. Her friend has 3 times as many. How many lollipops does Molly's friend have?
27
29
31
33
Answer:
27
Step-by-step explanation:
Since 9 is the amount of lollipop Molly has and her friend has 3 times more; which is 9x3
Which is true about the solution to the system of inequalities shown
Answer:
look below for question
Step-by-step explanation:
Which is true about the solution to the system of inequalities shown?
y > 3x + 1
y < 3x – 3
Only values that satisfy y > 3x + 1 are solutions.
Only values that satisfy y < 3x – 3 are solutions.
Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.
There are no solutions.
If f x) = [x – 3], find f (5.6 ). %3D
Answer:
f(5.6) = 2.6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = [x - 3]
f(5.6) is x = 5.6
Step 2: Evaluate
Substitute in x: f(5.6) = [5.6 - 3]Subtract: f(5.6) = 2.6Write a multiplication equation and a division equation that this diagram could represent.
A tape diagram of three equal parts. Each part is labeled "eighteen". A brace from the beginning of the diagram to the end of the disgram is labeled "54".
Group of answer choices
3 • 18 = 54 and 54 ÷ 18 = 3
54 • 3 = 18 and 18 ÷ 3 = 54
c
3 • 18 = 54 and 54 ÷ 18 = 3
3 • 18 = 54 and 18 ÷ 54 = 3
Answer:
[tex]3 * 18= 54[/tex] and [tex]54/18 = 3[/tex]
Step-by-step explanation:
Given
[tex]Sections = 3[/tex]
[tex]Measurement=18[/tex] per section
[tex]Total\ Measurement=54[/tex]
Required
Model the scenario
The model of this scenario is:
[tex]Sections * Measurement = Total\ Measurements[/tex]
This gives:
[tex]3 * 18 = 54[/tex] -- This represents the multiplication model
Divide both sides by 18
[tex]3 * 18/18 = 54/18[/tex]
[tex]3 * 1 = 54/18[/tex]
[tex]3 = 54/18[/tex]
Reorder
[tex]54/18 = 3[/tex] -- This represents the division model
Answer:
121*5677*66766.546646
5
Step-by-step explanation:
-3, 6, -12, 24,.......... a9
What’s the missing term?
Answer:
-48 there is a pattern
You and your friend play an arcade game. You score 5 points for every 9 points that your friend scores. You score 320 points less than your friend. How many points do you each score?
Answer:
400 ; 720
Step-by-step explanation:
Given that :
My score = 5 point for every 9 points scored by my friend ; hence my score is always 4 points less than my friend's score.
Let number of shot = x
Also my score x is 320 less than my friend's score
Hence after x shots
My score = friend's score - 320
5x = 9x - 320
5x - 9x = - 320
-4x = - 320
x = 80
Hence ;
My score = 5x = 5* 80 = 400
My &friend's score = 9 * 80 = 720
HELP!! i need to turn it in ASAP!!
Answer:
first one
Step-by-step explanation:
Please help me ASAP
How many pavers are needed to cover the patio?
Answer:
270
Step-by-step explanation:
✔️Area of the Patio = bh
b = 12 ft = 144 in.
h = 10 ft = 120 in.
Area of Patio = 144*120 = 17,280 in.²
✔️Area of Brick Paver = bh
b = 8 in
h = 8 in
Area of the Brick Paver = 8*8 = 64 in.²
The number of quaver needed to cover the Patio = area of Patio ÷ area of one brick quaver
= 17,280/64 = 270
A manufacturer produces soda cans and a quality control worker randomly selects two cans from the assembly line for testing. Past statistics show that 12% of the cans are defective. What is the probability that the two selected cans are defective if the quality control worker selects the two cans from a batch of 50 cans?
Answer:
6 cans will be defective
Step-by-step explanation:
do 50x0.12
help!!!! It’s missing and I forgot to do but I need the answers 1-4 thank you so much your a life saver
Xander takes a quiz worth 150 points. Each question is worth 30 points. Sketch a graph to show his score if he misses 1,2,3,4 or 5 questions.
Answer:
If he missed five questions he can get a zero
Step-by-step explanation:
I have 8 Twix bar that I want to share with 6 students how much of the Twix bar will each student get
Answer:
1.3
Step-by-step explanation:
8 divided by 6 = 1.3
BRAINLIEST PLEASE
Answer:
1.3
Step-by-step explanation:
Hope this helped have an amazing day!
Jason practiced making soccer goals and kept her track of the results. He missed 3 goals but made 9 in one practice session. What can Jason predict regarding goal made if his next practice session has 24 tries?