Answer:
( - 3 ' - 4 )
Step-by-step explanation:
Which of the following represents a "rule of thumb" for how much
student loan debt you should be willing to incur to pay for college?
Answer:
Rule of thumb is;
Your cumulative total student loans taken as at the time you are graduating should be less than your proposed annual starting salary.
Step-by-step explanation:
When calculating the loan a college student can afford, a rule of thumb comes in very handy which is that:
Your cumulative total student loans taken as at the time you are graduating should be less than your proposed annual starting salary.
This is because If your total student loan debt is less than your proposed annual income, it means all things being equal, you would be able to pay back the loan in about 10 years or less. However, if the loan debt exceeds your proposed income, it means you are likely to going to struggle and find it very difficult to repay your loan.
The ratio of boys to girls in a class is 4:3. There are 35 students in the class. How many students are boys?
Answer: 20 boys
Step-by-step explanation:
4+3 = 7 total parts
let x be one part
7x=35
x=5
4x=20
The Quotient of 5 times a number and 7 is no more than 10.
True or false density is mass overv weight
Answer:
true
Step-by-step explanation:
lel I do not process
2. How can the trend line equation be used to
predict the cost of gas per gallon in the year
1992?
a. Substitute 92 for x in the equation.
b. Substitute 92 for y in the equation.
c. Substitute 22 for x in the equation.
d. Substitute 22 for y in the equation.
Answer:
c. Substitute 22 for x in the equation.
Step-by-step explanation:
The scatter plot of this question is missing, so i have attached it.
The slope equation of this is written as;
y = mx + b
Where;
y is the values in the y-axis
x is the values in the x-axis
b is the intercept on the x-axis
Now, from the scatter plot of the trend line, we can see that the values in the x-axis represent the number of years after 1970 while the y-axis shows us the price of gas per gallon for each corresponding year.
Now, we want to use the trend line equation be used to predict the cost of gas per gallon in the year 1992.
Year 1992 means 22 years after 1992. Since we have our y-intercept from the scatter plot to be 0.25, then to find the cost of gas per gallon in the year 1992, we will just plug in 22 for x and 0.25 for b into the slope line equation.
Answer:
C
Step-by-step explanation:
I know
Write the product(2+7i)(2-7i) in the form a+bi
Answer:
53
Step-by-step explanation:
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
(2 + 7i)(2 - 7i)
(2 * 2) + (2 * -7i) + (7i * 2) + (7i * -7i)
4 + -14i + 14i + [tex]-49i^{2}[/tex]
4 + [tex]-49i^{2}[/tex] ([tex]i^{2}[/tex] = -1)
4 + (-49 * -1)
4 + 49
53.
53 is the result.
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
The product of (2 + 7i) (2 - 7i) in the form of a + bi is 53 + 0i.
What is an imaginary number?An imaginary number is denoted by i.
The value of i is √-1.
i² = √-1² = -1
We have,
(2 + 7i) (2 - 7i)
We need to write in the form of a + bi.
a + bi
a = real number
b = imaginary part
(2 + 7i) (2 - 7i)
Remove the brackets.
= 2 x (2 - 7i) + 7i x (2 - 7i)
= 4 - 14i + 14i - 49i²
= 4 - 14i + 14i - 49 x -1
= 4 - 14i + 14i + 49
= 4 + 49
= 53
We have only the real part.
So,
The product of (2 + 7i) (2 - 7i) is 53 + 0i.
Thus,
The product of (2 + 7i) (2 - 7i) in the form of a + bi is 53 + 0i.
Learn more about imaginary numbers here:
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The longest side of a right triangle is 5 meters and the shortest side is 3 meters. What is the area of the triangle in square meters?
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
The triangle shown is a right triangle. Create the equation to be used to find the missing lengths. Format your answer in
the sequence: hypotenuse, unknown leg, known leg.
9
5
9
234567810/
72 xy a b
The length of the missing side of the triangle is 7.5 from the image attached.
What is the Pythagoras theorem?
A fundamental concept in geometry that has to do with right triangles is the Pythagorean theorem. After the Greek mathematician Pythagoras, it establishes a link between the lengths of the sides of a right triangle.
According to the theorem, the square of the hypotenuse's length (the side that faces the right angle) in a right triangle equals the sum of the squares of the lengths of the other two sides.
We know that;
[tex]x^2 = 9^5 - 5^2[/tex]
x = 7.5
Learn more about Pythagoras theorem:https://brainly.com/question/31658142
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b)
Here are the ingredients needed to make 8 pancakes.
Submit Ans
250 ml milk
1 egg
140 g flour
5g butter
a)
Simon makes 4 pancakes.
Work out how much milk he needs.
b) Craig makes 12 pancakes.
Work out how much butter he needs.
Answer:
a) 125 ml milk
b) 7.5g butter
Step-by-step explanation:
a) 250ml of milk to make 8 pancakes
That means 125ml ((250/8) × 4 ml) of milk = 4 pancakes
b) 5g of butter = 8 pancakes
That means 7.5g ((5/8) × 12 g) of butter = 12 pancakes
Find the value of x and y.
Answer:
??
Step-by-step explanation:
4 + 3(4 - 9^0)+ 5^-3i
Answer:
13.008 or 13 1/125 or 1626/125
Step-by-step explanation:
need help pls help :(
Answer:
Neither
Step-by-step explanation:
function A is non linear
what is Carol’s total hours worked? And what is Carol’s total gross income
Answer:
1.230 hours
2.$4,045
Step-by-step explanation:
1.40+40+40+40=160 for full time job
20+10+15+25=70for part time job
add =230 hours
2.160*18.15=2,960 for full time job
70*15.5=1,085 for part time job
add = $4,045
Laura invests $3600 in a savings account for 2 years. The account pays 3.52% compound interest per annum. Laura has to pay 40% tax on the interest earned each year. The tax is taken from the account at the end of each year. How much is in the account at the end of 2 years?
Answer:
$3753.64
Step-by-step explanation:
Initial amount = $3600
Interest rate = 3.52%
n = 1 (once in a year)
Time = 1 years
No of years = 2
Compound interest
A =[tex]P(1 + \frac{r}{n} )^n*t[/tex]
A = 3600(1 + 0.352/1) ^1*1= $3726.72
Interest earned = 3726.72 - 3600= $126.72
Tax = 40% of the interest earned= [tex]\frac{40}{100}*126.72[/tex] = $50.69 (This amount is deducted from interest )
Net interest earned after 1 year = 126.72 - 50.69= $76
Balance after 1 year = $3600 + $76= $3676
Similarly for the 2nd year
Compound interest
A =[tex]P(1 + \frac{r}{n} )^n*t[/tex]
A = 3676( 1+0.0352/1)^1*1= 3676(1.0352)
= $3805.4
Interest earned = 3805.4 - 3676= $129.4
Tax = [tex]\frac{40}{100}*129.4[/tex]= $51.76
Net interest earned =129.4 - 51.76= $77.64
Net balance after 2nd year = 3676+ 77.64= $3753.64
Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms
Answer:
a) 10th term is 0.051
b) The sum of first 18 terms of given sequence is 51.48
Step-by-step explanation:
We are given the sequence 26, 13, 6.5, ..... we need to find
a) 10th term
b) Sum of first 18 terms
Before solving we need to determine if the sequence is arithmetic or geometric
The sequence is arithmetic if common difference d is same.
The sequence is geometric if common ratio r is same.
Finding common difference d: 13-26 = -13, 6.5-13= -6.5
As common difference is not same so, the sequence is not arithmetic.
Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5
As common ratio is same so, the sequence is geometric.
a) Finding common difference: 13-26 = -13, 6.5-13= -6.5
As common difference is not same so, the sequence is not arithmetic.
a) 10th term
The formula to find 10th term is: [tex]a_n=a_1r^{n-1}[/tex]
We have a₁=26 and r = 0.5 n=10
[tex]a_n=a_1r^{n-1}\\a_{10}=26(0.5)^{10-1}\\a_{10}=26(0.5)^{9}\\a_{10}=0.051[/tex]
So, 10th term is 0.051
b) Sum of first 18 terms
The formula to find sum of geometric series is: [tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]
where a= 1st term, r = common ratio and n= number of terms
In the given sequence we have
a=26, r=0.5 and n=18
Finding sum of first 18 terms
[tex]S_n=\frac{a(1-r^n)}{1-r}\\S_{18}=\frac{26(1-(0.5)^{18}}{1-0.5}\\S_{18}=\frac{26(0.99)}{0.5}\\S_{18}=\frac{25.74}{0.5}\\S_{18}=51.48[/tex]
So, sum of first 18 terms of given sequence is 51.48
The box plot below represents some data set. What percentage of the data values are between 50 and 75?
Answer:
25
Step-by-step explanation:
For box plot, the box contains 50percent and the line is the 50percent for the whole plot
25% of the data values are between 50 and 75.
Important information:
A box plot that represents some data set.We need to find, what percentage of the data values are between 50 and 75.
Box plot:From the given box plot it is clear that 50 is the median and 75 is the third quartile.
We know that 25% of data values are between the median and the third quartile.
Thus, 25% of the data values are between 50 and 75.
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A website charges $3 for each
movie you
download. They also charge a one-time sign-up
fee of $14.99
Think about the relationship. Which equation
models the cost c(m), of renting m movies?
What is the input variable?
V m, the number of movies.
What is the output variable?
c, the total cost.
Answer:$ 3m+$14.99
Step-by-step explanation:
$3 for each movie $3+14.99
What is the domain of the function?
Answer: m= 0, 1, 2, 3...
A toy story marks down every toy by 15% in January. How much does a toy cost during January?
Answer:
Well it all depends on the price of the toy.
So you are going to multiply the price of the toy and 15%. You will get the answer and subtract that number minus the price.
Example, a toy costs $30 in December, in January it will cost $25.50.
Step-by-step explanation:
30x15%= 4.5
30-4.5= 25.50
Answer:
just take 15% off what the toy is
Step-by-step explanation:
What is the value of x?
Answer:
x=131
Step-by-step explanation:
55 + 76 + x = 180
131 + x = 180
x = 49
subtract 49 from 180 to get x
180 - 49 = 131
*so um note that x should be greater than 90 degrees bc x is obvi an obtuse angle
What value represents the upper quartile of the box plot shown?
Answer:
33
Step-by-step explanation:
The median is 26 and the lower quartile is 19
I need help please )):
Which of the functions below could have created this graph ?
Answer:
Step-by-step explanation:
There is parabola on the graph, so the function might be quadratic or 4th power. We have no numbers on axises, then let's analyze the answers:
(A) The graph is no parabola for this function.
(B) The parabola for " - x² " is opened downward.
(C) The parabola for this function is also opened downward.
(D) This one option is the answer. The y-intercept is (-2)
According to the y-intercept and it's behavior, the function that could have created it's graph is:
D. [tex]F(x) = x^4 + 2x - 2[/tex]
This function has a negative y-intercept, that is, when [tex]x = 0[/tex], y has a negative value, which means that options A and B are incorrect.
The function also points upwards, which means that the leading coefficient, that is, the multiplier of the value of x with the highest exponent is positive, hence option C is incorrect.
Thus, the function is:
D. [tex]F(x) = x^4 + 2x - 2[/tex]
A similar problem is given at https://brainly.com/question/15446728
helppp? if possible
Answer:
x=9
Step-by-step explanation:
8x-14=2(2x+11)
8x-14=4x+22
4x=36
x=9
Which of the following situations can be modeled with a periodic function?
Answer:
the height of a pebble stuck in the tread of a tire
Step-by-step explanation:
hope it helps. make the brainliest
Answer:
the height of a flag on one blade of a windmill, the height of a ball suspended from a spring
Step-by-step explanation:
edge2020
can somebody please do this worksheet for me, it’s due tomorrow!
Answer: I cant really see it beacuse how you angled it...
Step-by-step explanation:
show any calculations, including 180 degrees, go step by step pls.
Answer:
120°, 120°, 60°, 60°
Step-by-step explanation:
m∠1 = 180° - 60° = 120°
m∠1 = m ∠2 (alternate interior)
m∠3 = 60° (vertical to given angle)
m∠4 = m∠3 (alternate exterior)
which is incorrect rounding for 53.864?
Please help me!
Answer:
52
Step-by-step explanation: This would be incorrect because 53.864 must round up.
is this a triangle :/
Answer:
Could you please attach the image in another question, you have nothing attached to this one.
PLEASE EXPLAIN I DONT UNDERSTAND!! Thank you
Answer:
1) a. Verticle angles are congruent
3) b. Same-side interior angles are supplementary
5) d. Alternate interior angles are congruent when the lines are parallel
6) c. Substitution
Step-by-step explanation:
1) ∠1 and ∠2 are vertical angles, they're congruent
3) ∠2 and ∠3 are same-side interior angles which are supplementary (add up to 180)
5) ∠3 and ∠4 are alternate interior angles meaning they're congruent
6) idrk how to explain it but its the last one so substitution goes with it :)
Need Answer ASAP only 3 min
The answer to 29:
D
The answer to 6:
G