The amount invested in the 3% interest account is $11,342.11, and the amount invested in the 1.1% interest account is $10,000 - $11,342.11 = $-342.11.
What is the interest?
Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
Let's call the amount invested in the 3% interest account x. Then, the amount invested in the 1.1% interest account is $10,000 - x.
The interest earned in the 3% interest account is 0.03x, and the interest earned in the 1.1% interest account is 0.011($10,000 - x).
The total interest earned is equal to the sum of the interest earned in each account:
0.03x + 0.011($10,000 - x) = $215.04
Expanding and solving for x:
0.03x + 0.011 * $10,000 - 0.011x = $215.04
0.019x = $215.04 + 0.011 * $10,000 - 0.011 * $10,000
0.019x = $215.04
x = $215.04 / 0.019
x = $11,342.11
Hence, the amount invested in the 3% interest account is $11,342.11, and the amount invested in the 1.1% interest account is $10,000 - $11,342.11 = $-342.11.
To learn more about the interest visit,
https://brainly.com/question/16134508
#SPJ1
Express the function graphed on the axes below as a piecewise function.
The function that represents the graph which is piecewise function is written as y = -5, x = 0 and y = - 6, x ≠ 0.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The equation of the line that is parallel to x-axis is given as,
y = c
The equation passes through (1, -6), then we have
-6 = c
Then the equation is given as,
y = -6, x ≠ 0
And the other equation is given as,
y = - 5, x = 0
Then the piecewise function is given as,
y = -5, x = 0
y = - 6, x ≠ 0
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
I NEED HELP ASAP!! I WILL GIVE BRAINLEST!!
The prove of BC || AD is shown in below.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
⇒ ΔABE ≅ ΔCDE
Now, Prove of BC || AD is shown in below as;
⇒ ΔABE ≅ ΔCDE ( Given )
Hence, We get;
⇒ AB ≈ DC
Now, In triangle ΔBEC and ΔDEA;
⇒ ∠BEC = ∠AED (Vertically opposite angle)
⇒ BE = ED
⇒ AE = EC
Hence, By SAS congruency;
Triangle ΔBEC and ΔDEA are congruent.
Hence, We get;
⇒ BC = AD
Since, In a parallelogram ABCD;
⇒ AB = CD
⇒ AD = BC
Hence, We get;
⇒ BC || AD
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
Consider the function g(x)=^3√x+2
Which ordered pair lies on the inverse of the function?
(−1,−3)
(−4,−1)
(3, 1)
(0,−1)
The ordered pair that lies on the inverse of the function is (-1, -3)
Which ordered pair lies on the inverse of the function?From the question, we have the following parameters that can be used in our computation:
g(x)=^3√x+2
Rewrite as
g(x) = ∛(x + 2)
Next, we test the options
Set x = -3
So, we have the following representation
g(-3) = ∛(-3 + 2)
Evaluate the expression
g(-3) = -1
As an ordered pair, we have (-1, -3)
So, the ordered pair of teh inverse is (-1, -3)
Read more about inverse functions at
https://brainly.com/question/3831584
#SPJ1
Answer: -1,-3
Step-by-step explanation:
How much more hourly wages does destiny make than Stephanie?
Destiny makes $(x - y) more than Stephanie.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given are the hourly wages of destiny make and Stephanie.
Assume that the hourly wages of Destiny are ${x} and than of Stephanie are ${y}. Let Stephanie make ${z} more than Destiny. So we can write -
z = x - y
Therefore, Destiny makes $(x - y) more than Stephanie.
To solve more questions on functions, visit the link below-
brainly.com/question/17613163
#SPJ1
A loan of $5000 is to be repaid in three equal installments due 60, 120, and 180 days after the date of the loan. If the focal date is the date of the loan and interest is 6.9% p.a., compute the amount of the installments.
Answer: The interest for the loan for each day is 5000 x 6.9/100 = $345.
For the first installment, the interest will be for 60 - 1 = 59 days. So, the interest for this period will be 59 x $345/365 = $166.55.
The first installment will be $5000 + $166.55 = $5166.55.
For the second installment, the interest will be for 120 - 60 = 60 days. So, the interest for this period will be 60 x $345/365 = $168.76.
The second installment will be $5000 + $168.76 = $5168.76.
For the third installment, the interest will be for 180 - 120 = 60 days. So, the interest for this period will be 60 x $345/365 = $168.76.
The third installment will be $5000 + $168.76 = $5168.76.
Therefore, each installment will be $5166.55, $5168.76, and $5168.76.
Step-by-step explanation:
-5x - 4y = -12
Convert from standard form slope intercept form
Answer:
y = -5/4x + 3
Step-by-step explanation:
slope-intercept form is: y = mx + b
where 'm' represents slope and 'b' represents the y-intercept
basically we have to solve for 'y':
first step, add -5x to each side to get:
-4y = 5x - 12
last step, divide each side by -4 to get:
y = -5/4x + 3
slope equals -5/4
y-intercept equals 3
When Richard moved to Clover Hills one year ago, it had a population of 3,650. Today, the
population has increased to 3,869, and it is expected that the population will continue to
increase each year.
Write an exponential equation in the form y = a(b) that can model the Clover Hills
population, y, x years after Richard moved there.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y=
DO
(0)
To the nearest hundred people, what can Richard expect the population to be 4 years after he
moved there?
people
O
M
31
K
%
Richard can expect the population to be 4,100 people 4 years after he moved there.
How to calculate the functionTo model the population growth, we can use an exponential equation in the form y = a * b^x, where a is the starting population (3,650), b is the growth factor, and x is the number of years after Richard moved there.
To find the value of b, we can use the population growth between the first year (x = 1) and the second year (x = 2). Let's call the population at x = 2 as P.
P = a * b^2
P = 3,869
Substituting the values, we get:
3,869 = 3,650 * b^2
Dividing both sides by 3,650, we get:
b^2 = 1.06
Taking the square root of both sides, we get:
b = 1.03
So, the exponential equation that models the Clover Hills population is:
y = 3,650 * 1.03^x
To find the population 4 years after Richard moved there (x = 4), we can substitute x = 4 into the equation:
y = 3,650 * 1.03^4
y = 3,650 * 1.129
y = 4,123.738
Rounding to the nearest hundred people, we get:
y = 4,100 people
Learn more about functions on:
https://brainly.com/question/10439235
#SPJ1
Helen has 90 stamps. The number of stamps that Helen has is 25% more than Peggy has. Find the number of stamps Peggy has.
Answer: 67.5
Step-by-Step:
If Helen has 90 stamps, then 50% of what she has is 45 stamps. Half of 45 is 22.5 which is 25% of what Helen has. To find out how many stamps Peggy has, we'll have to do 90 - 22.5 which is 67.5.
During a single day at radio station WMZH, the probability that a particular song is played is 42%. What is the probability that this song will be played on at least 3 days out of 6 days? Round your answer to the nearest thousandth.
Answer:
0.543 or 54.3%
Step-by-step explanation:
This is an example of a binomial distribution, where the probability of success (playing the particular song) is 0.42, and the number of trials is 6.
To find the probability that the song will be played on at least 3 days out of 6, we need to calculate the probability of the song being played on 3, 4, 5, or 6 days.
Using a binomial probability calculator or formula, we can calculate these individual probabilities:
Probability of the song being played on 3 days out of 6: 0.308
Probability of the song being played on 4 days out of 6: 0.177
Probability of the song being played on 5 days out of 6: 0.052
Probability of the song being played on all 6 days: 0.006
To get the probability of the song being played on at least 3 days out of 6, we add these individual probabilities together:
0.308 + 0.177 + 0.052 + 0.006 = 0.543
Therefore, the probability that the song will be played on at least 3 days out of 6 is 0.543 or 54.3% (rounded to the nearest thousandth).
what is the opposite of -(-3) I already tried 3 and +3 THEY DONT WORK PLEASE HELP
ok so to find the opposite of something like this you gotta simplify it first
a negative times a negative is a positive
-(-3) = 3
the opposite of 3 is... drumroll please... -3
Hope this helps,
- Jeron :- )
Answer:
-3
Step-by-step explanation:
-(-3) is just positive 3
there are 4 defective items in a lot consisting of 10 items. from this lot we select 5 items at random. the probability that there will be 2 defective items among them is
the probability of that there will be 2 defective items among them is 0.476 or 47.6%.
What is probability?
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Calculating the possibility of an event occurring is the focus of the math discipline of probability. Probability gauges the likelihood of an event occurring.
there are 4 defective items in a lot consisting of 10 items.
from this lot we select 5 items at random.
The number of ways in which 55 items can be selected 10 C 5 = 252.
Number of ways in which 2 defective systems and 3 non-defective systems can be selected
4C2 * 6C3 = 6*20=120
The probability = 120 / 252 = 0.476
Hence the probability of that there will be 2 defective items among them is 0.476 or 47.6%.
Learn more about probability, by the following link.
brainly.com/question/24756209
#SPJ4
23150 is bigger than what?
3 cm
Figure A
cm
2 cm
3 cm
2 cm
(a) Which figures are squares?
Mark all that apply.
Figure A
Figure B
(b) Which figures are rectangles?
Mark all that apply.
Figure A
Figure B
(c) Which figures are parallelograms?
Mark all that apply.
Figure A
Figure B
Figure C
Figure C
Figure C
Figure B
4 cm
4 cm
2 cm
None of the figures
None of the figures
None of the figures
2 cm
X
Figure C
r
2 cm
2 cm
2 cm
Answer:
(a) Figure A is a square.
(b) Figure A and Figure B are rectangles.
(c) Figure A, Figure B, and Figure C are parallelograms.
Step-by-step explanation:
Write a formula that can help you find the measure of each individual exterior angle in any polygon.
Answer:
Step-by-step explanation:
The measure of each individual exterior angle in a polygon can be found using the following formula:
Exterior angle measure = 360° / number of sides
This formula assumes that the polygon is a regular polygon, meaning that all sides are of equal length and all interior angles are congruent. For an irregular polygon, the exterior angle measures will vary.
Mr. Macdonald has 480 animals on his farm . 0.5 of the animals arecows 1/8 are goats The remainder of the Animals are chickens and ducks if 33 1/3% are chickens how many ducks are on the farm?
Answer:
120
Step-by-step explanation:
480 total
1/2 = 240 are cows
1/8 = 60 are goats
remaining = 480-240-60 = 180 are chickens & ducks
33.3333% of 180 = chickens =180/3 = 60 chickens
so ducks = 180-60 =120
Answer:
120
Step-by-step explanation:
given that out of 480 animals 0.5 of the animals are cows . So ,
no. of cows = 0.5*480 = 240
Again, we are given that 1/8 of the animals are goats , so the number of goats would be ,
no. of goats = 1/8*480 = 60
Total no. of goats and cows ,
= 240 + 60 = 300
No. of remaining animals= 480 -300 = 180
Now out of these 180 animals 33⅓ % animals are chickens and remaining are ducks.
Percentage of ducks = (100 - 33⅓ )% = 66.67%
So the number of ducks would be ,
180 * 66.67/100 = 120
And we are done!
What is the surface area of this shape??? Help please!
The area of the composite figure is equal to 216 square inches
How to calculate for the area of the figureThe composite figure can be observed to be made up of six identical squares, so we shall calculate for the area of one square and then multiply the result by six to get the total area of the composite figure as follows:
area of a square = length²
area of the one square = 6 in × 6 in
area of the one square = 36 in²
total area of the composite figure = 36 in² × 6
total area of the composite figure = 216 in²
Therefore, the area of the composite figure is equal to 216 square inches.
Know more about area here:https://brainly.com/question/21135654
#SPJ1
Wildlife conservationists want to estimate the deer population in a region. They place an identifying tag on 220 deer. Several months later, researchers investigate 8 samples of 50 deer and record how many have a tag. Based on these results, how many deer should they estimate live in the region?
The estimated deer population live in the region is calculated as:
N = (2 * 220 * 50) / x
Estimate Deer PopulationOne method to estimate the deer population is by using the Lincoln-Petersen index, which is calculated as:
N = (2 * tagged deer count * sample size) / (number of tagged deer in the sample).
Using the data you provided, the number of tagged deer in the 8 samples is the sum of all the tagged deer counted in each sample, let's call this sum "x". Then, the estimated deer population in the region is calculated as:
N = (2 * 220 * 50) / x
Since the actual value of x is unknown, we cannot calculate the exact population. But, this formula gives us a method to estimate the population based on the number of tagged deer found in future samples.
Learn more about Estimate Deer Population here:
https://brainly.com/question/12560069
#SPJ4
You pick a card at random. 1 2 3 4 What is P(1 or even)? Write your answer as a percentage.
The probability of drawing a 1 or an even number from the set {1, 2, 3, 4} is 75%.
There are four cards in the set {1, 2, 3, 4}, of which two are even (2 and 4) and one is odd (1). To find the probability of drawing a 1 or an even number, we can add the probabilities of each event occurring:
P(1 or even) = P(1) + P(even)
Since each card is equally likely to be drawn, each of these probabilities is equal to the number of cards that satisfy the condition divided by the total number of cards:
P(1) = 1/4 (there is one card with a 1)
P(even) = 2/4 = 1/2 (there are two cards with even numbers out of four)
Therefore,
P(1 or even) = P(1) + P(even)
= 1/4 + 1/2
= 3/4
To express the answer as a percentage, we can multiply by 100:
P(1 or even) = 3/4 * 100%
=> 75%
To learn more about Probability :
https://brainly.com/question/24756209
#SPJ4
help me on this que please
Answer:
18 and A i think
Step-by-step explanation:
i don t really know if this is right but since it only asks the area of E and not the whole cuboid
9 × 2 = 18
A also equals to 18 because it has the the same width and length as E.
hope this helps
HELP PLEAASE i need answer nowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
The correct descriptions of the given numbers are as follows:
√30 - Real, Irrational root-26 - Real, Rational, Integer√64 - Real, Rational Root, Whole Number1/4 - Real, Rational0.36336333633336.... - Real, Irrational decimal0.42424242..... - Real, Rational decimal✓ 7, or 7i - Imaginary NumberWhat are rational and irrational numbers?A rational number is one that can be written as P/Q, where P and Q are both integers and Q is greater than zero. An illustration of a rational number is 2/3.
However, an irrational number cannot be expressed using straightforward fractions. An example of an irrational number is √2.
Learn more about rational and irrational numbers at: https://brainly.com/question/20400557
#SPJ1
888 with a subscript of 9 plus 555 with a subscript of 6 plus 222 with subscript of 3 is equivalent to. What number with a subscript of 12?
Please Explain how you answered the question.
The number with a subscript of 12 or number base 12 that is equal to 888₉ + 555₆ + 222₂ is 689.
What is the sum of the given numbers in base ten?Using the number base conversion system, the sum of the given numbers in base ten is determined as follows:
888₉ + 555₆ + 222₂ = X₁₂
888₉ = 8 * 9² + 8 * 9¹ + 8 * 9⁰
888₉ = 728
555₆ = 5 * 6² + 5 * 6¹+ 5 * 6⁰
555₆ = 215
222₃ = 2 * 3² + 2 * 3¹ + 2 * 3⁰
222₃ = 26
888₉ + 555₆ + 222₂ = 728 + 215 + 26
888₉ + 555₆ + 222₂ = 969
969 = X₁₂
969 = 689₁₂
Hence, X = 689
Learn more about number bases at: https://brainly.com/question/21757274
#SPJ1
Graph the line through (2, - 1) with m= 3.
Answer:
shown below
Explanation:
so first you can graph a dot at (2,-1), since it must go through that line. Then you can use the slope, 3, to figure out the next dot. The slope 3 can be put into a fraction, liking like 3/1. Then you use rise/run from your point (2,-1). You go up 3, and right 1. Using that, your next point is (3,2). Plot that dot, and then use a straight edge to draw your line. It looks like how it is in the picture.
Which is the graph of f(x)=2(3)x?
The first graph represents [tex]f(x)=2(3) ^x[/tex].
Graph of a function:
All of the plane's points having the form (x, f(x)) that make up a function f's graph are gathered together. The graph of f is also referred as the graph of y = f. (x).
The given function is,
[tex]f(x)=2(3)^x[/tex]
Putting x = 1,
[tex]f(x)= 2(3)^1=6[/tex]
The point (1, 6) that is (x, f(x)) must therefore satisfy the condition or be on the curve of the function.
Only in case of the first graph, the point (1, 6) lies on the curve.
As a result, the first graph accurately depicts the function.
To learn more about a function's graph, go to:
https://brainly.com/question/12635801
#SPJ1
5. Each of the letters of the word 'SUCCESS' is written on a card and all the cards are placed into a bag. A card is randomly selected from the bag. Find the probability that the card bears:
(a) the letter 'S'
(b) a vowel
(c) letter 'A'
Answer: look at the image for the answer, and give me brainliest
Step-by-step explanation:
Answer:
(a) 3/7
(b) 2/7
(c) 0 or Impossible
Step-by-step explanation:
(a) There are seven letters in total. Three of the letters are s. Therefore out of the seven cards, three are the letter s. - 3/7
(b) Again there are seven letters in total. Two of the letters are vowels. Therefore out of the seven cards, two are vowels. - 2/7
(c) Yet again there are seven letters in total. None of the letters are a. Therefore out of the seven cards, none are the letter a. It is impossible to get the letter a - 0/7
Hope this helps :)
Shape D is a reflection of Shape C in the dashed line. Work out length x
Answer:
X= 5
Step-by-step explanation:
If shape D is a reflection of shape C then the distance between the shape and the y-axis will be the same on both sides; so, if shape C has a 5cm distance between it and the y-axis, shape D will also have 5cm distance between it and the y-axis.
PLSSSS HELP IF YOU TURLY KNOW THISSS
Answer:
x/3 + 5 = 10
Move 5 to the side
x/3 = 5
Multiply both sides by 3
2x/3 = 15
Simplify
x = 15
see photo below, thank you!!
The statements that are true are:
The x-coordinate of the solution is 1.
The y-coordinate of the solution is -1.
What is the Solution to a System of Equations that is Graphed?The solution to a system of equations that is graphed is the point at which the two lines intersect. The coordinates of the intersection point are the solution to the system of equations.
In other words, if we have two lines represented by two linear equations, the solution to the system of equations is the point where the two lines intersect. This point is unique and it satisfies both equations simultaneously.
Therefore, the graph shows that both lines intercept at (1, -1). Therefore, the statements that will be true are:
The x-coordinate of the solution is 1.
The y-coordinate of the solution is -1.
Learn more about the solution of a system on:
https://brainly.com/question/13729904
#SPJ1
Which of the following points lie in the solution set to the following system of inequalities?
y > −3x + 3
y > x + 2
(2, −5)
(−2, 5)
(2, 5)
(−2, −5)
The solution of the inequalities y > −3x + 3 and y > x + 2 will be (2, 5). Then the correct option is C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The system of inequalities is given below.
y > −3x + 3
The region above the line is considered.
y > x + 2
The region above the line is considered.
The overlap portion of the region is the solution. Point (2, 5) lies in that region.
The solution of the inequalities y > −3x + 3 and y > x + 2 will be (2, 5). Then the correct option is C.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ1
what is the surface area of this figure ? ( step by step ) i can’t figure it out .
Answer: 108 cm. (Squared)
Step-by-step explanation:
Top/Bottom: 7 x 3 = 21 / 2 = 10.5 x 2 = 21
Small Side: 3 x 5 = 15
Medium/Back Side: 5 x 7 = 35
Large Side: 7.6 x 5 = 38
21 + 15 + 35 + 38 = 108
A jacket is reduced in a sale by 20%. A customer has a
loyalty card for a further 10% off the price.
What is the total percentage reduction in the price of the jacket
x = original price for the jacket
now, let's reduce it by 20%, so hmmm that means the new price is really 100% - 20% = 80% of the original price, how much is that?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of x}}{\left( \cfrac{80}{100} \right)x}\implies 0.8x[/tex]
now, from that new price, let's reduce it by 10%, that means the newer price will be 100% - 10% = 90% of this new price of 0.8x, so
[tex]\stackrel{\textit{90\% of 0.8x}}{\left( \cfrac{90}{100} \right)0.8x}\implies 0.72x\hspace{5em}\stackrel{\textit{72\% of the orignal price}}{\textit{a reduction of 28\%}}[/tex]