Answer:
The amount invested in the mutual fund that earned 5% was $1000.
The amount invested in the mutual fund that earned 3% was $1100.
Step-by-step explanation:
Let the amount invested in the mutual fund that was earned 5% be x and the amount invested in the mutual fund that earned 3% be y.
Statement 1: [tex]\frac{5}{100}[/tex]X+[tex]\frac{3}{100}[/tex]y = 83
Statement 2: x+y = 2100
I'll use the elimination method:
Statement 1 × 20: x+[tex]\frac{60}{100}[/tex]y = 1660
Minus Statement 1 × 20 from Statement 2: x+y-x-[tex]\frac{60}{100}[/tex]y = 2100-1660
[tex]\frac{40}{100}[/tex]y = 440
y = [tex]\frac{100}{40}[/tex]×440
= 1100
x = 2100-1100
= 1000
An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale. Let A be the amount of the sale in dollars and C be the charge of the online auction. Explain whether the solutions A=−5 and C=1.1 are viable.
The solutions are not viable because the amount charged is not a whole number.
The solutions are viable because the amount of the sale is an integer.
The solutions are viable because the amount charged is positive.
The solutions are not viable because the amount of the sale cannot be negative
Answer:
The solutions are not viable because the amount of the sale cannot be negative
Step-by-step explanation:
We are told that;
Let A be the amount of the sale in dollars and C be the charge of the online auction
This means that both values of A and B should be non-negative integers.
Now, we are also told that An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale.
We can conclude that the solution is not viable because the amount of sale of -1.1 cannot be negative.
Angles 1 and 2 are supplementary. Angle 2 measures 50 degrees
MORE THAN angle 1. What is the measure of angle 2?
Answer: 115 degrees
Step-by-step explanation:
Give me the brainliest plz!
Does anyone know the answer to this question?
3x+6= -3(2x+4)
Answer:
x + -2
Step-by-step explanation:
(editing answer to add how i got it)
3x +6=-3 (2x +4)
-3 (2x +4)
Multiply using the distributive property.
− 6 x − 12 /2
3(2)(-3x - 4)
divide these by 2 will get you
SO ITS 3(2) +6 = 3(2) (2x +4)
Answer:
-2
Step-by-step explanation:
I know that it’s supposed to flip over the y-axis but can someone please give me the points?
Answer:
Step-by-step explanation:
There are 3 critical points. Place them on the graph and go down (using a ruler and pencil).
-7, -5 trans forms into 7, -5
-4, -2 transforms into 4,-2
4, -4 transforms into -4, -4
What are the respective coefficients when the equation is balanced with the smallest whole number integer values?
Answer: That would be 4,3,2
Step-by-step explanation: Hope this helps
situation: the ratio of my friends that like basketball to the ratio of my friends that don’t like basketball is 41:30. This means that 41 out of my 71 friends like basketball. 57.74% of my friends like basketball and 42.26% of my class doesn’t like basketball.
question: if the ratio stayed constant for the whole school, what would your equivalent ratio be with a new total of 310 total people?
Answer:
17.9:13
Step-by-step explanation:
I know this because in order to find the percentage of 310, you must mutiply 310 by the percentage.
The number of students who like basketball:
310 x 0.05774 = 17.9
The number of students who don't like basketball:
310 x 0.04726 = 13
Hope this helps! :)
Answer:
17.9:13
Step-by-step explanation:
This is the answer
What are the coordinates of point P? (I will give brainliest) Edge 2020
Answer:
P = ( -2, -4.5 )
Step-by-step explanation:
-2 on the x axis;
-4.5 on the y-axis.
what is the quotient of -45/-5
Answer:-9
Step-by-step explanation:
-9
Answer:-45 -5
Step-by-step explanation:
1. A statistician calculates that 8% of Americans are vegetarians. If the statistician is correct, what is the probability that the proportion of vegetarians in a sample of 569 Americans would be greater than 9%?2.The mean points obtained in an aptitude examination is 166 points with a standard deviation of 19 points. What is the probability that the mean of the sample would differ from the population mean by less than 1.1 points if 66 exams are sampled?
Answer:
1) the probability that the proportion of vegetarians in the sample would be greater than 9% is 0.1902
2) the probability that the mean of the sample would differ from the population mean by less than 1.1 points in the is 0.3616
p( /x" - u/ < 0.47 ) = 0.3616
Step-by-step explanation:
1)
Given that;
p = 8% = 0.08 and n = 569
what is the probability that the proportion of vegetarians in a sample of 569 Americans would be greater than 9% (0.09)
that is;
p( p" > 0.09) = ?
p( p" > 0.09) = p( z > [(0.09 - 0.08)/(√((0.08(1 - 0.08))/569))] )
= p( z > (0.01 / 0.0114))
= p ( z > 0.8772)
= 0.1902
Therefore the probability that the proportion of vegetarians in the sample would be greater than 9% is 0.1902
2)
Given that;
mean points obtained in an aptitude examination u = 166
standard deviation α = 19
sample size n = 66
x" - u = 1.1
first we say
x-score = (x" - u) / (α/√n) = 1.1 / (19/√66) = 1.1 / 2.3387 = 0.47
p( -0.47 < z < 0.47 )
= p( z < 0.47) - p( z < - 0.47)
= 0.6808 - 0.3192
= 0.3616
Therefore the probability that the mean of the sample would differ from the population mean by less than 1.1 points in the is 0.3616
p( /x" - u/ < 0.47 ) = 0.3616
(I'LL BE GIVING BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME!! :D)
Terri buys five and seven eighths ounces of chocolate chips. She uses four and four sixths ounces in a recipe. How many ounces of chocolate chips does she have left?
A) one and ten forty eighths ounces
B) one and three fourteenths ounces
C) two and ten forty eighths ounces
D) two and three fourteenths ounces
(Here is an image if needed) :
Given that 3a : 7 = 8:5, find the value of a.
Answer:
a=56/15
Step-by-step explanation:
3a/7=8/5
3a=56/5
a=56/15
16.9 and 1.7 and 0.17 and 2.0 rounded up to the nearest whole number
Answer:
17, 2, 0, 2
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
16.9 + 1.7 + 0.17 + 2.0 = 20.77 rounded to the nearest whole number is 21.
Mr. Smith writes the following problem on the board,
1/4 + 3
Which statement about Mr. Smith s problem is true?
The answer to Mr. Smith s problem is less than 1
The answer to Mr. Smith s problem is between 1 and 2
The answer to Mr. Smith 5 problem is between 2 and 3.
O The answer to Mr. Smith s problem is between 3 and 4.
Answer:
It is the last one where the answer is between 3 and 4
Step-by-step explanation:
go0oddddddddddddddddddddddddddddddddddddddddddddddddddddd
Jonathan decides to go to an arcade  Play some games. He sets a limit of $35 that he will spend 
Answer:
Hope it will help you
Step-by-step explanation:
Option BJonathan can buy 33 games.
What is equation?The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, Jonathan decides to go to an arcade to play some games. He sets a limit of $35 that he will spend
Let he can buy x games, then the equation will be,
0.75x+10 = 35
0.75x = 25
x = 100/3 ≈ 33
Hence, Jonathan can buy 33 games.
For more references on equation, click;
https://brainly.com/question/10413253
#SPJ5
| 3x + 2 |= 4x + 5
explain how to solve it please
Answer:
x = -3
Step-by-step explanation:
Subtract 2 from both sides of the equation.
3x + 2 = 4x + 5
3x + 2 - 2 = 4x + 5 - 2
Step 2.
Simplify. Subtract the numbers 3x =4x + 3
Now subtract 4 from both sides.
Combine like terms -x = 3
Divide both sides of the equation.
Cancel terms that are in both the numerator and denominator
Divide the numbers
And that's how X = -3
Hope this helped you! If it did, please mark as brainliest this helps me and others a lot. Have a wonderful day.
what weight of flowers will each person get if 3 people share 1/3 lb of flower equally??
Answer:
Personally, I think 1/9 lb.
<Plis choose me as brainliest!>
If the temperature changes - 5/8 degrees per hour for 8 hours, what is the total change in temperature?
Answer:
I think it is 5.
Step-by-step explanation:
5/8 in decimal form is 0.625. 0.625 x 8 = 5. I hope this helps/ sorry if it didn't.
Please Help Asap thank you soo much god bless you
1) x ≤ 30
2) 5x + 2x ≥ 14
3) xy ≤ 4
4) y - 5 < 20
Step-by-step explanation:
please mark me as brainlest
According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this increased by approximately 0.6% per year. If this trend continues, in which year will 31% of babies be born out of wedlock?
Answer:
The year is [tex]b = 1995[/tex]
Step-by-step explanation:
From the question we are told that
The percentage of the number of babies born out of wedlock in 1990 is k = 28%
The percentage by which the number increase per year is i = 0.6%
The percentage of of the number of babies born out of wedlock considered is a = 31%
Generally the difference in between the percentage in 1990 and the percentage considered is
[tex]d = a - k[/tex]
=> [tex]d = 31 - 28[/tex]
=> [tex]d = 3\%[/tex]
Generally the number of year require for the percentage to be equal to 31% is mathematically represented as
[tex]n = \frac{3\%}{0.6\%}[/tex]
=> [tex]n = 5\ years[/tex]
Generally the year which the considered percentage will be attained is
[tex]b = 1990 + n[/tex]
=> [tex]b = 1990 + 5[/tex]
=> [tex]b = 1995[/tex]
what i the answer and why this is for my little brother
Answer:
C, 1 1/14
Step-by-step explanation:
You would convert 1/2 to 7/14 and convert 4/7 to 8/14. You can now add them together, and once you do you get 15/14. You can now simplify, giving you your answer of 1 1/14.
A shirt is on sale for 30%
off. It's original price was
$20. How much money
would someone save if
they bought the shirt?
Answer:
$6
Step-by-step explanation:
Answer:
it would be a 14$ t-shirt there for you save 6 dollars.
Step-by-step explanation:
do the math in a calculator. :D
At the age of 28, you decide to invest into a 20-Year Endowment insurance policy. The face value for the policy that you are interested on is $91,500. Using the provided table, determine the annual premium for a 28-year-old healthy female seeking a 20-Year Endowment. Use the table provided below and round your answer to the nearest cent where necessary. A 7-column table with 4 rows title Permanent Insurance. Column 1 is labeled Age with entries 25, 26, 27, 28. Column 2 is labeled Whole life male (dollars) with entries 16.38, 16.91, 17.27, 17.76. Column 3 is labeled whole life female (dollars) with entries 14.38, 14.77, 15.23, 15.66. Column 4 is labeled 20-payment life male (dollars) with entries 28.40, 29.11, 29.97, 30.68. Column 5 is labeled 20-payment life female (dollars) with entries 25.04, 25.96, 26.83, 27.54. Column 6 is labeled 20-year endowment male (dollars) with entries 37.02, 37.67, 38.23, 38.96. Column 7 is labeled 20-year endowment female (dollars) with entries 34.87, 35.30, 35.96, 36.44. a. $3,334.26 c. $3,229.95 b. $3,290.34 d. $3,190.61
Answer is A edge
Answer:
A
Step-by-step explanation:
Answer:
the is a. $3,334.26
Step-by-step explanation:
Place the following fractions and decimals in order from least to greatest:
12/5
3 1/3
3 1/6
3.09
Answer:
.09,1/6,1/3,2/5
Step-by-step explanation:
Answer: 12/5, 3.09, 3 and 1/6, 3 and 1/3
Step-by-step explanation: 12/5 is only equal to 2.4, so thats smallest. 3.09 is smaller compared to fractions.
tip: the bigger the bottom number on a fraction is, the smaller the number is. ex: 1/5 is actually a bigger number than 1/10
Round your answer to tenth place. A park has a triangular sandbox. Todd wants to create a smaller sandbox at his backyard having the same angles as the park sandbox. Drawings of both sandboxes are shown. 14 ft 18 ft 20 ft Park Sandbox 8 ft Todd's Sandbox What is the perimeter, in feet (ft), of Todd's sandbox? DOLL
No picture given for this problem. Repost.
Evaluate the function at the given value
f(x) = 4.753(0.9421)^x
x = 5
Answer:more info pl
Z
Step-by-step explanation:
Express each sum in sigma-notation
1 + 1/4 + 1/9 + 1/16 + ... + 1/400
9514 1404 393
Answer:
[tex]\displaystyle\sum\limits_{n=1}^{20}{\dfrac{1}{n^2}}[/tex]
Step-by-step explanation:
We notice that the denominator of each term is the square of the term number, so the last term must be the 20th. The sum is then ...
[tex]\displaystyle\sum\limits_{n=1}^{20}{\dfrac{1}{n^2}}[/tex]
Joe, Kent, Bryan and Julie scored an average of 63 mark in Mathematics test. If we know that Julie's score qas 25% of Joe's score. Bryan scored 10 more marks thsn Joe and Kent scored 18 fewer marks than Joe. What is the total score of kent and bryan?
Write the expression in exponent form.
(9)(9)9)(9)(9)
Answers
9^5
please make me brainlist
Answer:
9^5
Step-by-step explanation:
A group of circus bears made a pyramid. 3 bears fell of the top, leaving 3 on the bottom. How many bears made the pyramid?
Answer:
6, right?
Step-by-step explanation:
12*PLEASE ANSWER FAST!!!!!!!!