Answer:
12
Step-by-step explanation:
If the perimeter is 56, then 2(W+L) = 56.
If the length is 4 more than the width, then we can write the length as
Width+4 = L or W+4=L
Now, we can plug this back into the equation of 2(W+L)= 56
2(W+(W+4)) = 56
2(2w+4) = 56
4w+8=56
Minus 8 on both sides of the equation
4w = 48
divide both sides by 4
w = 12
A retired woman has $30,000 to invest but needs to make $3,000 a year from the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it she wants to put in a CD that pays 7%.
If we let x be the amount the woman invests in the 15% bond, how much in dollars will she be able to invest in the CD?
On the basis that the woman invests in the 15% bond, she be will able to invest $18,750 in the CD
What is the total expected interest from both investments?
The investment is based on the fact the investor is able to make $3,000 in interest from the bond and CD investments
total expected interest=$3,000
interest on bond investment=15%*x=0.15x
amount invested in CD=30000-x
interest on CD=(30000-x)*7%
interest on CD=2100-0.07x
total interest=0.15x+2100-0.07x
total interest=3000
3000=0.15x+2100-0.07x
3000=0.08x+2100
3000-2100=0.08x
900=0.08x
x=900/0.08
x=amount invested in the bond=$11,250
amount invested in CD=$30,000-$11,250
amount invested in CD=$18,750
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Which of the following best describes a best efforts underwriting commitment? Review Later The underwriter agrees to buy the entire issue and assume full financial responsibility for any unsold shares. If the entire issue cannot be sold at the offering price, the deal is called off and the issuing company receives nothing. Underwriter commits to selling as much of the issue as possible at the agreed-on offering price but can return any unsold shares to the issuer without financial responsibility. Underwriter is only responsible for half (50%) of the issue.
The best description of a best efforts underwriting commitment is Underwriter commits to selling as much of the issue as possible at the agreed-on offering price but can return any unsold shares to the issuer without financial responsibility.
What is a best efforts underwriting commitment?In a best efforts underwriting commitment, the Underwriter will make a commitment by which they promise to sell as much as they can of a company's stock at a price that is best.
This price would have been agreed between the underwriter and the company.
However, if the stock issue is not sold entirely and there are unsold shares, then these unsold shares are returned to the issuer with no financial responsibility for the underwriter.
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Would really appreciate help on this statistics problem, 20 points :)
Answer:
Step-by-step explanation:jed
Carissa has $250 in her checking account and it’s saving $15 each week. Brooke has $750 in her checking account and it’s spending $10 each week. How many weeks will it take for Carissa and Brooke to have to the same amount of money in their accounts?
Answer:
you just gotta add up what carissahas and subtract what Brooke has and you'll have the answer
Step-by-step explanation:
x = number of weeks
so, we need to see, what is the number of weeks it takes for both to have the same balance.
it takes both the same amount of weeks, of course.
so,
250 + 15x = 750 + 10x
15x = 500 + 10x
5x = 500
x = 100
it takes them 100 weeks to have the same amount of money in their accounts.
What is 7/28 simplified
Answer:
[tex]\frac14[/tex]
Step-by-step explanation:
Both the numerator and the denominator have the common factor of 7, therefore, we can divide them both by 7 to further simplify the fraction.
[tex]\frac7{28} \to \frac{\frac77}{\frac{28}7} \to \frac14[/tex]
solve x- 9y =20 for y
( 5 ⋅ 2 − 9 ) + 2 ⋅ 1/2
Answer:
2
Step-by-step explanation:
( 5 ⋅ 2 − 9 ) + 2 ⋅ 1/2
= ( 10 - 9 ) + 2 ⋅ 1/2
= 1 + 2 ⋅ 1/2
= 1 + 1
= 2
A spinner is spun 400 times.
The probabilities it lands on each colour are shown below.
The probability it lands on red is the same as the probability it lands on yellow.
Colour Red Green Brown Yellow
Probability 0.14 0.4
How many times would you expect it to land on each colour?
The likelihood that it will land on red is the same as the likelihood that probability it will land on yellow. In this case, 52.
What exactly is probability?
Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.
The probability of an event is a number between 0 and 1, with 0 generally denoting impossibility and 1 roughly denoting certainty.
based on the available facts;
Given, color likelihood Green Brown Yellow Red
P(R) + P(a) + P(B) + P(Y) = 1
2P(CR) + 0-74=1
P(R) 0.26/2
= 0.13 P(Y)
As it is span 400 times -
No. of times green= 0.2 off 400
=1/5 *(400)
=80
No. of times Brown= 0.54*100
=216
No. of times Red= 0.13× 400
= 52= No. of times yellow
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Can someone help with this question?✨
The formula for moose population, P, in terms of t, the years since 1990 would be P(t) = -110t + 4730.
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
Let's consider x on the graph to be years since 1990 and y on the graph to be the number of Moose.
We have two points on the graph as (4, 4290) and (8, 3850)
Now we can find the slope of this line:
m = (y2 - y1)/(x2 - x1)
Substitution;
m = (3850 - 4290)/(8 - 4)
Solve the subtraction in the parenthesis;
m = -440/4
m = -110
Then we have the slope of the line, we can use the point-slope formula to find the equation for the line.
y - y1 = m(x - x1)
Substitution;
y - 4290 = -110(x - 4)
y - 4290 = -110x + 440
y - 4290 + 4290 = -110x + 440 + 4290
y = -110x + 4730
Since the formula that is being sought is supposed to be in terms of P and t, we will replace y with P and x with t.
P(t) = -110t + 4730
To predict the population in 2006, we have to determine the years from 1990 to 2006.
2006 - 1990 = 16
P(16) = -110 (16) + 4730
P(16) = -1760 + 4730
P(16) = 2970
Hence, The formula for moose population, P, in terms of t, the years since 1990 would be P(t) = -110t + 4730.
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The Vasquez family visit their grandmother every three weeks and host a neighborhood party every eight weeks. Every 16 week, the Vazquez family takes a day to go hiking. After how many weeks will the Vasquez family both visit their grandmother and host the neighborhood party? After how many weeks will all three events occur?
The number of weeks whwn the Vasquez family both visit their grandmother and host the neighborhood party is 24 weeks.
The weeks will all three events occur is 48 weeks.
How to calculate the value?From the information, the Vasquez family visit their grandmother every three weeks and host a neighborhood party every eight weeks.
Therefore, this situation is just to find the least common factor of 3 and 8. This is 24
Therefore, the number of weeks whwn the Vasquez family both visit their grandmother and host the neighborhood party is 24 weeks.
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5th grade math question:
Marissa averages 6.053 points per game. What are some different ways you could decompose this decimal number?
Six and fifty-three thousandths
I'm sure
PLEASE HELP WILL MAKE BRIANLIEST
Answer:
She scored 12
therefor she did pass
Step-by-step explanation:
1549-1637 not the time period ;-;
Answer: -88
Step-by-step explanation:
See if that's correct :)
Question 5:
Write each of the following numbers correct to 3 significant figures.
a) 37412
b) 84563
c) 261.42
d) 0.3684
e) 0.002615
f) 0.0025713
Following are the numbers correct to 3 significant figures
Answers to the following questions:
(1) Round to the needed significant figure: 37400;
(2) Round to the required significant figure: 84600;
(3) Round to the required significant figure: 261;
(4) Round to the needed significant figure: 0.00262
(5) Round to the required significant figure: 0.368
(6), round to the needed significant figure: 0.00257
What is meant by correct to significant figures?
The most significant number in the number is rounded up. Check the first non-zero digit if you want to round to one significant figure while doing so. If rounding to two significant numbers, have a look at the digit that comes after the first non-zero digit.
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In the following statement, express the first number as a percentage of the second number.
The full-time year-round median salary for U.S. men in 2010 was $42,200, and the full-time year-round salary for U.S.
women in 2010 was $35,700.
Step-by-step explanation:
the first number as percentage of the second number.
that means the second number is 100%
100% = 35,700
1% = 100%/100 = 35,700/100 = 357
how many % are 42,200 ?
we find out by checking how often 1% fits in :
42,200/357 = 118.2072829...%
$42,200 is 118.2072829...% of $35,700
a family paid 23,800 as a down payment for their home this is 14 percent of the cost of their home what is the total cost of their home ?
The total cost of the home is 1,70,000 .
given,
down payment of home=23800
14 percent of the cost of their home
Then from here the rule says that ,
=100 x 23800/14
=1,70,000
therefore, we get a result of the total cost of the home that is ,
1,70,000.
The term percentile and the related term percentile rank are often used in the reporting of scores from norm-referenced tests. For example, if a score is at the 86th percentile, where 86 is the percentile rank, it is equal to the value below which 86% of the observations may be found. In contrast, if it is in the 86th percentile, the score is at or below the value of which 86% of the observations may be found. Every score is in the 100th percentile.
The 25th percentile is also known as the first quartile (Q1), the 50th percentile as the median or second quartile (Q2), and the 75th percentile as the third quartile (Q3). In general, percentiles and quartiles are specific types of quantiles.
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A quadrilateral has sides of length x cm, x + 3cm, x - 4cm and 2xcm. What is the perimeter of
the quadrilateral in terms of x?
Answer:
Step-by-step explanation:
perimeter is the sun of all sides, so, (x)+(x+3)+(x-4)+(2x)
= x+x+3+x-4+2x
= 5x-1 is the answer
Simplify this equation
Answer:
23
Step-by-step explanation:
9 + 2(4 + 3)
9 + ((2 * 4) + (2 * 3))
9 + (8 + 6)
9 + 14
23
Step-by-step explanation:
Calculate within parentheses (4+3) : 7
[tex]=9+2\cdot \:7[/tex]
Multiply and divide (left to right) 2 . 7 : 14
[tex]=9+14[/tex]
Add and subtract (left to right) 9 + 14: 23
ANSWER: [tex]=23[/tex]
Explanation in words (Short Form)
- The first step is to calculate within parentheses and the answer will result as 23
- The second step is to add and subtract so 9+14 = 23.
- The third step is to find the answer which is 23
Answer:
23
Hope this helps.
What does this statement print?
System.out. printIn("bc" + 2 + 3)
The print statement System.out. printIn("bc" + 2 + 3) would print "bc23"
How to determine the output of the print statement?The statement is given as
System.out. printIn("bc" + 2 + 3)
The above statement is a Java print statement
The expressions in the print bracket would be treated as strings.
This is so because of the first statement "bc"
So, the statements would be concatenated
Hence, the print statement System.out. printIn("bc" + 2 + 3) would print "bc23"
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WRITING DECIMALS AS FRACTION S
Answer: first one
Step-by-step explanation:
53/2 = 18/x round to the nearest tenth where necessary
The solution to the given equation round to the nearest tenth as required in the task content is; 0.7.
What is the solution to the given equation as in the task content?According to the task content, the solution to the equation given is to be determined round to the nearest tenth.
On this note, the equation can be solved as follows;
53/2 = 18/x
By cross-multiplication; we have;
53 × x = 2 × 18
53x = 36
x = 36/53
x = 0.679
However, when round to the nearest tenth, x = 0.7.
Ultimately, The solution to the given equation round to the nearest tenth as required in the task content is; 0.7.
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Factor by completing the square: x^4-x^2+16
It should be noted that the factoring of x⁴ - x² - 16 will be (x + 4)(x - 4).
How to illustrate the information?It should be noted that the expression given is illustrated as:
x⁴ - x² - 16
= x² - 16
= x² - 4²
= (x + 4)(x - 4)
Therefore, the factoring of x⁴ - x² - 16 will be (x + 4)(x - 4).
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Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which equation
relates the total amount of gasoline in the tank, y, to the number of gallons that she put in the tank, x?
Oy=4+x
The equation that relates the total amount of gasoline in the tank is;
y = x + 4.
What is defined as the linear equation?A linear equation is just an algebraic equation with only a constant and the first-order (linear) term of the form y=mx+b, for which m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation of 2 factors," in which y and x are the variables.Although they can, it is often easier and faster to use a computational method to arrive at a numerical answer. The actual power of equations is they offer a very unique way to describe many different functions in the world.For the given question;
The amount of gasoline already present in tank is 4 gallons.
The number of gallons filled above the the previous gasoline is x.
Thus, now the total gasoline present in this tank is x + 4.
If y shows the total gasoline in tank;
Then,
y = x + 4.
Therefore, the total amount of gasoline present in tank is given by equation is; y = x + 4.
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CUTICLE
How many boys are there in an introductory geology course if 392 students are enrolled and there are five boys to every three girls?
Answer
How to enter your answer (opens in new window)
The number of girls is 147 and the number of boys is 245 in the introductory geology course
Students enrolled in the introductory geology course = 392 students
The ratio of boys to girls in the course = 5:3
Let the number of girls in the course be x, then the number of boys will be 392-x
Formulating the equation we get:
Number of boys/Number of girls = Ratio of boys/Ratio of girls
= 392-x/x = 5/3
= (392-x)*3 = 5x
= 1176-3x = 5x
=1176 = 8x
x = 147
Hence, the number of girls is 147 and the number of boys is 245
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What the distance between a negative number and a positive number 12 1/2
The distance between the negative number and the positive number is 25
How to determine what the distance between a negative number and a positive number?The number is given as
12 1/2
When represented as a negative number and a positive number, we have the following representations
12 1/2 and -12 1/2
The distance between the negative number and the positive number is
Distance = |Positive - Negative|
So, we have
Distance = |12 1/2 - -12 1/2|
Evaluate the difference
So, we have
Distance = |25|
Remove the absolute bracket
So, we have
Distance = 25
Hence, the distance between the negative number and the positive number is 25
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if x = 3, y = -6 and x -9, evaluate x2 -y3
Answer:
225
Step-by-step explanation:
x² -y³
Evaluate for x=3,y=−6
3²−(−6)³
3²−(−6)³
=225
Find the distance between the two points in simplest radical form.
(8, -4) and (3, 8)
Answer:
13
Step-by-step explanation:
[tex] \sqrt{ {(8 - 3)}^{2} + {( - 4 - 8)}^{2} } [/tex]
[tex] \sqrt{ {5}^{2} + {( - 12)}^{2} } [/tex]
[tex] \sqrt{25 + 144} = \sqrt{169} = 13[/tex]
8) The sum of four times a number, -1, six times a number, and 3
The expression for the statement is 4y - 1 = 3y + 4 and the number is 4.
The outcome of adding two or more numbers or phrases is known as the sum in mathematics. The sum is a method of bringing things together as a result.
Let's assume the number to be y.
Then,
4 times the number = 4y
6 times the number = 6y
Now, the sum of four times a number and -1 is equal to 6 times a number and 3.
4 × ( the number) + (-1) = 3 × ( the number) + 3
4 × (y) + (-1) = 3 × (y) + 3
4y - 1 = 3y + 3
Now, add 1 on each side:
4y - 1 + 1 = 3y + 3 + 1
4y = 3y + 4
Subtracting by 3y from each side:
4y - 3y = 3y + 4 - 3y
y = 4
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what are 3 budget planning tips
The three budget planning tips can be , to be aware of your net income , listing your monthly expenses and making adjustments.
What is a budget ?
A budget is an estimation of revenue and expenses over a specified future period of time.
We know that budgets can be created for an individual, a team of individuals, a business, a government, or pretty much anything else that generates and spends money.
The 3 budget planning tips can be as follows.
1.
First tip is to be aware of your net income. Finding out how much money you have coming in is the first step in making a budget. Setting up a budget is a crucial part of managing your finances and spending patterns. So , you must figure out how much money you are spending in order to develop a budget.
2.
Second tips can be to list your monthly expenses. The monthly expenses can be many such as rent payments , loan payments , insurances and utilities.
3.
Making adjustments is a third planning suggestion. You just compare your monthly expenses and net income. You'll need to alter your spending if you find that your expenses exceeds your income.
Therefore , the three budget planning tips can be , to be aware of your net income , listing your monthly expenses and making adjustments.
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Three-sevenths of the T-shirts in a T-shirt shop are blue. Seven-eighths of those T-shirts are on sale. One-third of the blue
T-shirts that are on sale are size medium. What fraction of the shop's T-shirts are blue T-shirts that are on sale and are
size medium? Explain.
The fraction of T-shirts that are blue, medium, and on sale is
Out of all the T-shirts in shop, the fraction of T-shirts that are blue, medium, and on sale is x/8.
Let us assume the total number of shirts be x. So, the number of blue shirts in the shop are 3x/7.
Number of blue shirts on sale = 3x/7 × 7/8
Cancelling 7 common in numerator and denominator and performing multiplication
Number of blue shirts on sale = 3x/8
Number of blue shirts on sale medium in size = 3x/8 × 1/3
Cancelling 3 common in numerator and denominator and performing multiplication
Number of blue shirts on sale medium in size = x/8
Hence, the required fraction of T-shirts are x/8.
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