How much simple interest does $2,000 earn in 11 months at an interest rate of 3.4%?
Answers
ANSWER
$62.33
EXPLANATION
We are given that:
Principal = $2000
Rate = 3.4%
Time = 11 months
Simple interest on a principal, P, at a rate, R, in time, T (in years) is given as:
\(I\text{ = }\frac{P\cdot\text{ R }\cdot\text{ T}}{100}\)Therefore, the simple interest is:
\(\begin{gathered} I\text{ = }\frac{2000\cdot\text{ 3.4 }\cdot\frac{11}{12}}{100} \\ (\frac{11}{12}because\text{ it is 11 months and that is }\frac{11}{12}\text{ of a year)} \\ \Rightarrow\text{ I = }\frac{2000\cdot\text{ 3.4 }\cdot\text{ 11}}{12\cdot\text{ 100}} \\ I\text{ = \$62.33} \end{gathered}\)That is the Simple Interest.
Related Questions
On each of ner birthdays. Bernadette blew out a number of candles
equal to her age in years. She lived to be 107. How many candles
did she blow out during her lifetime? (She had some help the first
few years but they all count)
Answers
Answer:
5778
Step-by-step explanation:
1+2+3+4+5+....+105+106+107
The sequence of numbers (1, 2, 3, … , 107) is arithmetic and when we are looking for the sum of a sequence, we call it a series. Thanks to Gauss, there is a special formula we can use to find the sum of a series:
S=n(n+1)/2=11556÷2=5778
S is the sum of the series and n is the number of terms in the series, in this case, 107
There are other ways to solve:
This is an arithmetic series, for which the formula is:
S = n[2a+(n-1)d]/2
where a is the first term, d is the difference between terms, and n is the number of terms.
For the sum of the first 107 whole numbers:
a = 1, d = 1, and n = 107
Therefore, sub into the formula:
S = 107[2(1)+(107-1)(1)]/2 =
107(2+106)/2=107*108/2=5778
so she blow out 5778 candless during her lifetime
The table shows how many children and adults prefer each of two different fruits. How would you find the joint relative frequency of being an adult who prefers watermelon?%0D%0A%0D%0AWatermelon%09Grapes%09Total%0D%0AChild%09132%0985%09217%0D%0AAdult%09111%09117%09228%0D%0ATotal%09243%09202%09445%0D%0A%0D%0AA.%0D%0ADivide 111 by 228.%0D%0A%0D%0AB.%0D%0ADivide 111 by 243.%0D%0A%0D%0AC.%0D%0ADivide 111 by 445.%0D%0A%0D%0AD.%0D%0ADivide 243 by 445.
Answers
The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.
Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.
So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.
Hence, the correct answer is:
C. Divide 111 by 445.
Please help me with this proof.
Answers
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
If two different people are randomly selected from the 880 subjects, find the probability that they are both heavy smokers
Answers
Answer:
0.006795
Step-by-step explanation:
Note: The table of the question is attached as picture below
Total number of heavy smokers = 36+ 37 = 73
Total men and women = 880
We need to know the probability of selecting two DIFFERENT heavy smokers.
Probability of (First person selected is a heavy smoker) = 73/880
Discarding the first person, now you have 879 subjects left and 72 heavy smokers left.
So, Probability of Second person selected is a heavy smoker) = 72/879
Probability of 2 different people selected are heavy smokers) = 73/880 * 72/879
= 5256 / 773520
= 0.006795
A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 higher than in the first. The tax in the first city was 7.5%, and the tax in the second city was 5%. The total hotel tax paid for the two cities was $825. How much was the hotel charge in each city before tax?
Answers
The hotel charge in the first city before tax was $6000 and the hotel charge in the second city before tax was $7500.
Let x be the hotel charge before tax in the first city, and y be the hotel charge before tax in the second city. Then we have:
y = x + 1500 (the hotel charge before tax in the second city was $1500 higher than in the first)
0.075x + 0.05y = 825 (the total hotel tax paid for the two cities was $825)
We can use the first equation to solve for y in terms of x:
y = x + 1500
Then we can substitute this expression for y into the second equation:
0.075x + 0.05(x + 1500) = 825
Simplifying this equation, we get:
0.075x + 0.05x + 75 = 825
0.125x = 750
x = 6000
So the hotel charge before tax in the first city was $6000. Using the first equation, we can find the hotel charge before tax in the second city:
y = x + 1500
y = 6000 + 1500
y = 7500
So the hotel charge before tax in the second city was $7500.
Therefore, the answer is: The hotel charge in the first city before tax was $6000 and the hotel charge in the second city before tax was $7500.
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{x|x + 1 ≥ 3 and x − 6 ≤ −1}
Write the solution using interval notation
Answers
3-7 Please Help BRAINLEST
Answers
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------
Answer: r = 7.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\(17 = r + 10\)
Swap sides so that all variable terms are on the left hand side.
\(r + 10 = 17\)
Subtract 10 from both sides.
\(r = 17 - 10\)
Subtract 10 from 17 to get, you guessed it, 7!Using transposition method taking 10 to LHS will be -10
= r = 17-10
r = 7
Verification :
17 = r + 10
17 = 7+10
17 = 17
HENCE, LHS=RHS
using truth table show that (p^q) =~pv~q please help meeee
Answers
The truth table for the given expression can be given using p= T q = T, p^q = T, ~p = F, ~q = F, ~q v ~p = T, and (p ^ q) =~p v ~q = T, thus proving the required.
What is propositional logic?The field of symbolic logic known as propositional logic, also referred to as sentential logic or statement logic, is concerned with propositions or statements, which are declarative phrases that can be true or untrue. To represent propositions and their relationships, propositional logic employs symbols and operators.
Many disciplines, including mathematics, computer science, philosophy, and others, employ propositional logic as a tool for debating the truth or falsity of propositions and analysing arguments.
The truth table for the given expression can be given as:
p | q | p ^ q | ~p | ~q | ~q v ~p | (p ^ q) =~p v ~q
-------------------------------------------------------------
T | T | T | F | F | T | T
T | F | F | F | T | T | T
F | T | F | T | F | T | T
F | F | F | T | T | T | T
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What is the next number in the sequence: 3, 8, 12, 48, 29, __
Answers
Answer:
144
Step-by-step explanation:
Answer:
116
Step-by-step explanation:
3x4=12
12x4=48
8x4=32
32-3=29
29x4=116
Hope it's clear
Question Progress
Homework Progress
01
Find the mean of the following numbers:
7
21
2,
17
3
13
7
9
9
Help plz?
Answers
Answer: ath
Math
Scientific
Algebra
Geometry
Trigonometry
Graphing
Step-by-step explanation:
Hello please, I did not understand this exercise. In the plane referred to an orthonormal reference (o, i, j) place the points A, B, C and D defined by: A(6; 4); B(3; 7); C(12; -2); D(9; 7).
Show that C is the image of A by dilation with center B and ratio 3.
Answers
We have shown that C is the image of A by dilation with center B and ratio 3.
Now, To show that C is the image of A by dilation with center B and ratio 3, we need to follow these steps:
Firstly, Find the vector AB by subtracting the coordinates of B from the coordinates of A:
AB = A - B = (6 - 3, 4 - 7) = (3, -3)
Multiply the vector AB by the dilation ratio of 3:
3 AB = 3 (3, -3) = (9, -9)
Add the resulting vector to the coordinates of the center B:
BC = B + 3 AB = (3, 7) + (9, -9)
BC = (12, -2)
Hence, Compare the resulting point BC to the coordinates of C to show that they are the same:
BC = (12, -2) = C
Therefore, we have shown that C is the image of A by dilation with center B and ratio 3.
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(CLASSKICK) HELP ASAP!!!
Answers
Answer:
94.3
Step-by-step explanation:
You want to know how to fill in the proportion associated with the question, "What is 115% of 82?"
ProportionThe diagram is intended to help you match parts of the question to parts of the proportion. The attachment shows the intended relation.
The solution is found by multiplying both sides by 82:
(x/82)·82 = (115/100)·82
x = 94.3
EquationThe question can also be written as a statement:
"what" is 115% of 82
When written as an equation, "is" means "equals", and "of" means "times":
what = 115% × 82
Of course, you can use any variable name of your choosing in place of "what". In your diagram, that is "x". And, you know how to write a percentage as a fraction or decimal, so this becomes ...
x = 115/100 × 82 = 1.15 × 82
All that remains is to evaluate this expression.
x = 1.15 × 82 = 94.3
So, the answer to the question is ...
94.3 is 115% of 82.
why does dividing 5 by a number less than 1 give a qouient greater than 5?
Answers
Answer: It takes more five to reach that answer
Step-by-step explanation:
Rob collects data about how many customers enter and leave a store every hour. He records a positive number for additional customers entering the store each hour and a negative number for customers leaving the store each hour. Drag and drop the correct choices into the boxes to complete the answers to the questions.
Answers
1) 3:00 to 4:00
The absolute value of the number of people leaving is greater than the absolute value of the number of people entering.2) 103
From 1:00 to 2:00, a total of 14 more people entered, meaning there were 99 people.From 2:00 to 3:00, a total of 8 more people entered, meaning there were 107 people.From 3:00 to 4:00, a total of 4 people left, meaning there were 103 people.The required solution is 4:00 to 5:00 and 87 customers.
It is required to fill in the blanks.
What is arithmetic?The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given:
According to question , Initially, there were 75 customers.
From 1:00 to 2:00, a total of 30 more people entered, meaning there were
75 + 30 - 12
= 93 people.
From 2:00 to 3:00, a total of 14 more people entered, meaning there were
93 + 14 - 8
= 99 people.
From 3:00 to 4:00, a total of 18 people entered, meaning there were
99 + 18 - 30
= 87 people.
4:00 to 5:00 : If the store does not accept any more customers except those who are already inside then, all 87 must leave between 4:00 to 5:00 in order to left from the store by 5:00.
Therefore, the required solution is 4:00 to 5:00 and 87 customers.
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South Beach Middle School has 1,272 total students. The students are
Divided into equal classes of 24 students each. How many classes are
There in all?
Answers
There are 53 classes in South Beach middle school
How to calculate the number of classes in the school ?South beach middle school has 1,272 students
The students are divided into equal classes of 24 students each
Therefore the number of classes can be calculated by dividing the total population of the students in the school by 24
= 1272/24
= 58
Hence there are 58 classes in the school
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Jack runs 3 miles 4 times a week. How many miles does Jack run in 6 weeks
Answers
18. Multiply, then check your work by switching factors.
a. 693 x 83
b. 910 x 45
c. 38 x 84
d. 409 x 89
Answers
The requried, Multiplies(with switching factors.) area given below,
a.
693 x 83 = 57489
83 x 693 = 57489
The answer is 57489.
b.
910 x 45 = 40950
45 x 910 = 40950
The answer is 40950.
c.
38 x 84 = 3192
84 x 38 = 3192
The answer is 3192.
d.
409 x 89 = 36401
89 x 409 = 36401
The answer is 36401.
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Tucker purchased $4,600 in new equipment for a catering business. He estimates that the value of the equipment is reduced by approximately 40% every two years. Tucker states that the function V(t)=4,600(0.4)2t could be used to represent the value of the equipment, V, in dollars, t, years after the purchase of the new equipment. Explain whether the function Tucker stated is correct, and, if not, determine the correct function that could be used to find the value of the equipment purchased.
Answers
The function stated by Tucker is incorrect.
V(t) = 4600(0.8)^t
Step-by-step explanation:
Given the function :
V(t)=4,600(0.4)2t
The initial value of equipment = 4600
Decay rate = 40% of very 2 years
The value of equipment t years after purchase
The exponential decat function goes thus :
V(t) = Initial value * (1 - decay rate)^t
The Decay rate per year = 40% /2 = 20% = 0.2
V(t) = 4600(1 - 0.2)^t
V(t) = 4600(0.8)^t
Please help. I am lost
Answers
Answer:
Step-by-step explanation:
directrix is x=-4
or x+4=0
let (x,y) be any point on the parabola.
distance of (x,y) from (-1,15) is
\(=\sqrt{(x+1)^2+(y-15)^2}\)
distance of (x,y) from x+4=0 is
\(=\frac{x+4}{\sqrt{1} } \\=(x+4)\)
so
\(x+4=\sqrt{(x+1)^2+(y-15)^2} \\squaring\\x^{2} +8x+16=x^{2} +2x+1+(y-15)^2\\6x+15=(y-15)^2\\divide ~by~6\\x=\frac{1}{6} (y-15)^2-\frac{5}{2}\)
The following inequalities are equivalent except ...
A <3
B −1<2 C +1<3 D −2<1
Answers
Answer:
C + 1 < 3 is not equivalent.
Step-by-step explanation:
B - 1 < 2 ⇒ B < 3
C + 1 < 3 ⇒ C < 2
D - 2 < 1 ⇒ D < 3
Therefore, all inequalities are equivalent except C + 1 < 3.
Find the area of the figure. Type your answer as just a number, without units.
Answers
After considering all the given data we conclude that the area of the given figure is 80, under the condition that the given figure is a rhombus.
Let us name the rhombus as ABCD, now looking at the figure we can detect that there are two diagonals crossing each other making a point E, this allows the two diagonals to split in four smaller lines that are congruent in value
Then
Line AE = 5ft and Line ED = 5ft (because of congruency)
Line CE = 8ft and Line EB = 8ft(because of congruency)
Therefore,
Now we know that the diagonals
AD = 10ft
CB = 18 ft
The area of a rhombus can be evaluated applying the formula
Area = (d1 × d2) / 2,
Here,
d1 and d2 = lengths of the diagonals.
For this case, the diagonals are 10 ft and 16 ft.
Then, the area of the rhombus is
(10 × 16) / 2
= 80
Then, the area of the given figure is 80.
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Onetta goes to the food court to get a salad and sandwich for lunch. The Daily Deli has 8 varieties of sandwiches and 3 salads. Better Bites has 2 varieties of sandwiches and 7 salads. The Lunch Spot has 5 varieties of sandwiches and 8 salads. Determine the number of ways Onetta can select a sandwich and a salad.
Answers
Answer:
Onetta can salect a sandwich and a salad in 78 different ways.
Step-by-step explanation:
Since Onetta goes to the food court to get a salad and sandwich for lunch, and the Daily Deli has 8 varieties of sandwiches and 3 salads, while Better Bites has 2 varieties of sandwiches and 7 salads, and the Lunch Spot has 5 varieties of sandwiches and 8 salads, to determine the number of ways Onetta can select a sandwich and a salad, the following calculation must be performed:
8 x 3 + 2 x 7 + 5 x 8 = X
24 + 14 + 40 = X
78 = X
Therefore, Onetta can salect a sandwich and a salad in 78 different ways.
Please help find the answer. Thank You!
Answers
Answer:
Step-by-step explanation:
208
NEED HELP ASAP PLS AND THX PIC IS ATTACHED
Answers
The measure of the hypotenuse of the right-angle triangle is 53.21 feet.
Given that:
Perpendicular, P = 50 feet
Angle, Ф = 70°
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The measure of the hypotenuse of the right-angle triangle is calculated as,
sinФ = P/H
sin 70° = 50 / x
x = 53.21 feet
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Robert earns $300 every week. What equation shows the relationship between salary per week (s), number of weeks worked (w), and total income (t).
w = 300 − 30
s − h = t
w − h − t = s
t = 300w
h = 300w
Answers
Roberto made a line plot to show the weight in pounds of the bags of granola in his store he concluded that the total weight of the granola was 2/1/2+2/3/4+3=8/1/4 pounds
Answers
The correct total weight of the bags of granola is 8 1/4 pounds.
One thing that can be done to improve Roberto's reasoning is to ensure the accuracy of the calculations.
In his conclusion, Roberto added the weights of the bags of granola (2 1/2, 2 3/4, and 3) and claimed that the total weight was 8 1/4 pounds. However, the sum of these weights does not equal 8 1/4 pounds.
To address this, Roberto should recheck his calculations. Adding mixed numbers involves adding the whole numbers separately and then adding the fractions separately. In this case, 2 1/2 + 2 3/4 + 3 can be calculated as follows:
2 + 2 + 3 = 7 (sum of whole numbers)
1/2 + 3/4 = 2/4 + 3/4 = 5/4 = 1 1/4 (sum of fractions)
Thus, the correct sum is 7 + 1 1/4 = 8 1/4 pounds.
By double-checking the calculations and providing the accurate sum, Roberto's reasoning would be more precise, reliable, and free from errors.
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The probable question may be:
Roberto made a line plot to show the weight in pounds of the bags of granola in his store he concluded that the total weight of the granola was 2 1/2+2 3/4+3=8 1/4 pounds.
what is one thing that you could do to Roberto's Reasoning
The functions f(x) = −(x − 1^)2 + 5 and g(x) = (x + 2)^2 − 3 have been rewritten using the completing-the-square method. Apply your knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.
Answers
If we write a quadratic in vertex form:
\(y=a(x-h)^2+k\)
Then:
\(\bold{a}\) \(\longrightarrow\) is the coefficient of \(x^2\)
\(\bold{h}\) \(\longrightarrow\) is the axis of symmetry.
\(\bold{k}\) \(\longrightarrow\) is the max/min value of the function.
Also:
If \(a > 0\) then the parabola will be of the form \(\cup\) and will have a minimum value.
\(a < 0\) then the parabola will be of the form \(\cap\) and will have a minimum value.
For the given functions:
\(a < 0\)
\(f(x)=-(x-1)^2+5\) this has a maximum value of \(\bold{5}\)
\(a > 0\)
\(f(x)=(x+2)^2-3\) this has a minimum value of \(\bold{-3}\)
termine if the relationship is a proportional or nonproportional situation. Complete the explana 1 =5p + 2 Compare the equation with y = mx +b. The relationship represents a (select) =mx+b, the value of b (select) v 0. Y relationship. When the equation is written in the
Answers
Proportional
\(b=\frac{1}{2}\)Explnation
Step 1
let
\(y=mx+b\Rightarrow q=5p+\frac{1}{2}\)both are linear equations
as q depends on p, it is a proportional situation.
Step 2
\(\begin{gathered} y=mx+b\Rightarrow q=5p+\frac{1}{2} \\ \text{then} \\ y=q \\ mx=5p \\ b=\frac{1}{2} \end{gathered}\)I hope this helps you
Books are on sale for $7. Peter has $30 dollars in his wallet. How many books can he buy?( interpret the remainder)
Answers
Answer:
He can buy 4 books with 2 dollars remaining
Step-by-step explanation:
30/7 = 4 R2
Answer: 4 books.
Explanation: First you divide $30 by 7, and you get 4 and 2/7 (2/7 as the remainder) left over. So you can't have 4 and 2/7 books, it has to be a whole number.
Therefore, he can buy 4 books. I hope this helped!
Find the equation of a parabola with a focus of (0, 9) and directrix y = –9.
Answers
Answer:
Step-by-step explanation:
Given that,
To find the standard form of the equation of the parabola with a focus at (0, 9) and a directrix y = -9.
What is a parabola?
A parabola is a cross-section cut out of the cone and represented by an equation
Focus of the prabola = (h , k + F ) = (0, 9)
Since the directrix, y = -9
F = -9
k + F = 9
k = 0
Vertex of the parabola = (h, k )
= (0, 0)
Standard equation of the parabola
( y - k ) = 4a (x - h)²
( y - 0 ) = 4a (x - 0)²
y = 4 * 9 x²
y = 36 x²
Thus, the required expression for the parabola with focus at (0, -9) and a directrix y = 9 is y = 36x².