A student borrows a total of $5400 in student loan from two lenders. Bank One charges 4.3% simple
interest and Bank Two charges 5.9% simple interest. She is not required to pay off the principal for 3
years. However, at the end of three years, she will owe a total of $888.60 for interest from both loans.
How much did she borrow from Bank One?
non
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Answer:
$1400
Step-by-step explanation:
Let x represent the amount borrowed from Bank 1. For each loan, the interest is given by I=Prt, where P is the principal borrowed at rate r for t years.
Then the total interest over 3 years is ...
3(4.3%·x +5.9%(5400 -x)) = 888.60
-1.6%·x +318.60 = 296.20 . . . . . . . . . . . divide by 3, simplify
-1.6%·x = -22.40 . . . . . . . . . . . subtract 318.60
x = 22.40/0.016 = 1400
The student borrowed $1400 from Bank 1.
The Horseshoe Nebula is about 5 x 10light years away from Earth. One light
year is equal to approximately 5.9 x 1012 miles. What is the approximate distance
in miles, between Earth and the Horseshoe Nebula?
BRAINLIST HELP TIMED
Answer:
its the second one
Step-by-step explanation:
u just mulitply the terms together and add the exponents
Graph the line whose y-intercept is 2 and whose x-intercept is -5
Answer:
y=2/5x + 2
Step-by-step explanation:
find slope by using formula between these two points: (0,2) and (-5,0); then put into slope-intercept form (y=mx+b)
A function is initially defined by the set of coordinate pairs ((-3,7), (1,5), (4,13)). Which coordinate pair below, if added to this set, prevents the set from representing a function?
1) (2,5) 2) (5,0) 3) (-1,8) 4) (1,4)
Answer:
(1,4)
Step-by-step explanation:
Given
[tex]\{(-3,7), (1,5), (4,13)\}[/tex]
Required
Which pair makes the relation not a function?
A function is defined as:
[tex]\{(x_1,y_1), (x_2,y_2), (x_3,y_3)..... (x_n,y_n)\}[/tex]
Where each x values (domain) are unique and different from one another.
In the given function, the x values (domain) are: -3, 1 and 4
To get a pair that makes the relation, not a function; we have to select from the given options, any option that has either of -3, 1 and 4 as its x values.
From the list of given options.
4) (1,4) has an x value of 1
Hence, the solution to this question is (1,4)
Sales personnel for Skillings Distributors submit weekly reports listing the customer contacts made during the week. A sample of 35 weekly reports showed a sample mean of 19.5 customer contacts per week. The population standard deviation was 5.2. Provide a 99% confidence interval for the population mean number of weekly customer contacts for the sales personnel.
Answer:
The answer is below
Step-by-step explanation:
Given that:
Confidence interval (C) = 99%, mean (μ) = 19.5, standard deviation (σ) = 5.2, sample size (n) = 35
α = 1 - C = 1 - 0.99 = 0.01
α/2 = 0.005
The z score of α/2 (0.005) is the same as the z score 0.495 (0.5 - 0.005) which is equal to 2.576.
The margin of error (E) is given as:
[tex]E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\E=2.576*\frac{5.2}{\sqrt{35} } \\\\E=2.264[/tex]
The confidence interval = (μ ± E) = (19.5 ± 2.264) = (17.236, 21.764).
The confidence interval is between 17.236 and 21.764.
In triangle ABC shown below, point A is at (0,0)
point B is at (x subscript2, 0)
point C is ([x sub1]/ 2, [y sub1]/2
point D is [x sub1 + xsub2]/2, ysub1/2)
Prove that segment DE is parallel to segment AB.
Answer:
Proof below
Step-by-step explanation:
To prove DE and AB are parallel, we compare the slopes of both segments
Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Segment AB goes through the points (0,0) and (x2,0), thus:
[tex]\displaystyle m_{AB}=\frac{0-0}{x_2-0}=0[/tex]
The slope is 0 because the line is horizontal.
Now for the segment DE, the endpoints are
[tex]\displaystyle (\frac{x_1}{2},\frac{y_1}{2}),\ (\frac{x_1+x_2}{2},\frac{y_1}{2})[/tex]
The slope is:
[tex]\displaystyle m_{DE}=\frac{\frac{y_1}{2}-\frac{y_1}{2}}{\frac{x_1+x_2}{2}-\frac{x_1}{2}}[/tex]
[tex]\displaystyle m_{DE}=\frac{0}{\frac{x_2}{2}}=0[/tex]
Segment DE is also horizontal, thus is parallel to segment AB.
What do you think the answer is??
Answer:
c
Step-by-step explanation:
Answer:
it's "b"
Step-by-step explanation:
Helppppppppp please?
Answer:
c. 2640
Step-by-step explanation:
20 x 12 x 11 = 2640
Answer: C. 2,640
Step-by-step explanation:
Please Help ASAP!!
Simplify this
(x^3)(x^4)
Solve the proportion.
x+1/×-1 = 14/20
A: - 3/17
B: 10/7
C: 7/10
D: -17/3
14x+14=20x-20
-6x=-34
x=34/6=-17/3
D: -17/3
Answer:
D
Step-by-step explanation:
x+1/x-1=14/20
so 20(x+1)=14(x-1)
20x+20=14x-14
20x-14x= -14-20
6x=-34
so x=-17/3
Please if you know plz tell me ;(
the images go in order to the graph
What is the cost of a 5-mile taxi ride if the charge is $3.50 to start plus $2.70 per mile? Please show the work with the answer. TY!
Answer:
17
Step-by-step explanation: First multiply 2.70 by 5 which would equal 13.50. Then, add 13.50 and 3.50 would equal 17.
Please give brainliest if this helps. Thanks!
Which set of numbers represents the RANGE for the following table
x -3 4 6 -12
y 5 -6 2 0
A
{−6,0,2,5}
B
{4, 5, 6, 12}
C
{−3,4,6,12}
D
{0, 5, 6, 2}
Answer:
The range of the table is:
Range R = {-6, 0, 2, 5}
Hence, option A is true.
Step-by-step explanation:
Given the table
x -3 4 6 -12
y 5 -6 2 0
Determining the range:
We know that the range of a table consists of all the y-values of the given points.
From the given table, it is clear that the y-values are:
y = 5, -6, 2, 0
Thus, the range of the relation in ascending order is:
Range R = {-6, 0, 2, 5}
Please note that the duplicated elements in the range, if any, are written only once.
Therefore, the range of the table is:
Range R = {-6, 0, 2, 5}
Hence, option A is true.
write the polynomial in standard form given these zeros [-1; 3; 4]
Answer:
ummmm donooo
what sis this
JKL is given with J (-1,1), K (4,4), and L (5,1). What is the area of JKL? Justify your response.
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Answer:
9 square units
Step-by-step explanation:
The base JL is a horizontal line. Its length is 5-(-1) = 6.
The height is the difference between the y-coordinate of K and the y-coordinate of the horizontal line: 4 -1 = 3.
The formula for the area of a triangle is ...
A = (1/2)bh
A = (1/2)(6)(3) = 9 . . . square units
The area of ∆JKL is 9 square units.
Answer:
9 units
Step-by-step explanation:
shorter answer
pls help with this math question
-1 1/2 (-2/5x + 1 1/3) -2 1/2 (3/5x + 1/3)
Answer: -3.73
Step-by-step explanation:
Hope it's correct.
Glad I could help!
Please do nowwww im clueless
Answer:
just put in 50,tab,0,tab,200,tab,400,tab,100,tab,0.
Step-by-step explanation:
tab is the key on your keyboard.
Evaluate | -65 | = ?
Answer:
65
Step-by-step explanation:
It's the absolute value of -65
Hope this helped, Have a Wonderful Day!!
Find the 15th term of the geometric sequence 1, -4, 16, ...1,−4,16,
Answer:
Doesn't look like a geometric sequence.
Step-by-step explanation:
If 1, -4, 16 keeps repeating then the answer is 16.
Help please due in 5 minutes :(
Answer:
Store A
Step-by-step explanation:
Store A: 5% of 50 is 2.5. If we subtract the discount from the original price, we get $47.50 as the discounted price
Store B: 20% of 60 is 12. If we subtract the discount from the original price, we get $48 as the discounted price
47.50 < 48
(hope this helps)
Answer:
Store A
Step-by-step explanation:
5% of $50 is $2.50, which means that store A is $2.50 off.
20% of 60 is %12, which means store B is $12.00 off.
However, store A has an original price that is $10 less than store A, and if you do $50 - $2.50 = $47.50 and Store B's price equals out to $60 - $12 - $48.00
this means that the full price with discount is lower for store A than it is for store B
The ground temperature at an airport is 11 °C. The temperature decreases by 6.4 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?
Answer:
-21°C
Step-by-step explanation:
Since the plane is flying at an altitude of 5 kilometers, then we have to multiply 6.4 by each kilometer that the plane's altitude increased (5). After that, we will end up with 32°C that we have to subtract from the ground temperature of 11°C. Once we do that, we get -21°C which means that the temperature at an altitude of 5 kilometers is -21°C.
(sorry if this is confusing but I hope this helped)
X^2 + 6x + 16y - 23 = 0
What is the standard form of the equation?
Answer:
hard!
Step-by-step explanation:
Help me with this I need help
the difference of the
ages of two brothers is 4 years 5 years ago if the product of their ages was 96 find their present ages
Answer:
OB - Older Brother
YB - Younger Brother
A) OB -YB = 4
B) OB * YB = 96
B) OB = 96 / YB
Multiplying A) by -1
A) -OB + YB = -4 then we add B)
B) OB = 96 / YB
YB = -4 + 96 / YB
Multiplying both sides by YB
YB^2 = -4YB +96 then re-arranging
YB^2 + 4YB -96 = 0 solving by quadratic equation
AS OF 5 years AGO:
Younger Brother's age = 8
Older Brother's age = 12
NOW THEIR AGES ARE:
8 + 4 = 12 YB and
12 + 4 = 16 OB
Step-by-step explanation:
There are y boats on a lake.
There are 6 people in each boat.
Write an expression, in terms of y, for the total number of people in the boats.
Answer:
I hope this may help u
Step-by-step explanation:
6×y
0.96 is 1/10 of what?
Answer:
0.96*10 is 9.6.
Step-by-step explanation:
The Pythagorean triple (5, 12, 13) can't be generated from the identity (x? 1)2 + (2x)2 = (x2 + 1)
which has only one variable, because the length of the hypotenuse (13 units) and the length of the longer
of the other two legs (12 units) are not 2 units apart.
Find a two-variable identity by incorporating a second variable, y, into the single-variable identity. Note
that x > 1, x > y, and x and y are positive integers.
Select the correct answer.
5
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Answer:
A. (x² -y²)² +(2xy)² = (x² +y²)²
Step-by-step explanation:
As is often the case with problems like this, the correct answer (A) is the only answer that is actually a true equation.
Choices B, C, D are only true if x or y is zero--a violation of the given condition that they are positive integers.
Teen Court is a juvenile diversion program designed to circumvent the formal processing of first-time juvenile offenders within the juvenile justice system. An article reported on a study in which offenders were randomly assigned either to Teen Court or to the traditional Department of Juvenile Services method of processing. Of the 57 Teen Court individuals, 18 subsequently recidivated during the 18-month follow-up period, whereas 11 of the 54 Department of Juvenile Services individuals did so. Does the data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals who do so
Answer:
Z-statistic = 1.4017 < 1.96 at 0.05 level of significance
Null hypothesis is accepted
The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals
Step-by-step explanation:
Step(i):-
Given first sample size (n₁ ) = 57
Of the 57 Teen Court individuals, 18 subsequently recidivated during the 18-month follow-up period
First sample proportion
[tex]p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{18}{57} =0.3157[/tex]
Second sample proportion
[tex]p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{11}{54} =0.2037[/tex]
Null Hypothesis : p₁⁻ = p₂⁻
Alternative Hypothesis : p₁⁻ ≠ p₂⁻
Step(ii):-
Test statistic
[tex]Z = \frac{p_{1} ^{-} -p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }[/tex]
where
[tex]P = \frac{n_{1}p^{-} _{1} +n_{2} p^{-} _{2} }{n_{1} +n_{2} }[/tex]
[tex]P = \frac{57 X0.3157+0.2037X54}{54+57} = 0.2612[/tex]
Q = 1 - P = 1 - 0.2612 = 0.7387
[tex]Z = \frac{0.3157-0.2037}{\sqrt{0.2612 X0.7387 (\frac{1}{57} +\frac{1}{54} )} }[/tex]
Z = 1.4017
Level of significance ∝ =0.05
The tabulated value Z₀.₀₅ = 1.96
Z-statistic = 1.4017 < 1.96 at 0.05 level of significance
Null hypothesis is accepted
The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals
Assume that X is Normal with mean $ 240 and standard deviation $60 . the probability that , in a randomly selected week , Dan will make less than $ 255
Answer:
The probability of Dan making less than $255 is 0.5987 or 59.87%
Step-by-step explanation:
Given that:
Mean = μ = $240
SD = σ = $60
We have to find the probability that Dan will make less than $255
First of all, we have to find the z-score of 255
z-score is denoted by z and is given by the formula
[tex]z = \frac{x-mean}{SD}[/tex]
Here,
x = 255
Putting the values
[tex]z = \frac{255-240}{60}\\z = \frac{15}{60}\\z = 0.25[/tex]
Now we have to look at the z-score table to find the probability of 0.25
P(x<255) = 0.5987
Converting into percentage
59.87%
Hence,
The probability of Dan making less than $255 is 0.5987 or 59.87%
