Answer:
30189.155
Step-by-step explanation:
Recall the compound interest formula :
A = P(1 + r/n)^nt
P = principal = 10000
r = rate = 3.7% = 0.037
n = quarterly = 4
t = 30
A = 10000(1 + 0.037/4)^30*4
A = 10000(1 + 0.00925) ^120
A = 10000(1.00925)^120
A = 10000 * 3.0189155
A = 30189.155
Express as a trinomial.
(x-9)(x+4)
Write the following expression in decimal notation: 234 x 109.
Given sinx=1/3, cosy=3/4, and both x and y are in quadrant iv, find cos(x-y) and sin(x+y)
Answer: [tex]\dfrac{6\sqrt{2}+\sqrt{7}}{12},\ \dfrac{-3-2\sqrt{14}}{12}[/tex]
Step-by-step explanation:
Given
x and y is in the fourth quadrant
[tex]\sin x=-\dfrac{1}{3}\\\\\cos y=\dfrac{3}{4}[/tex]
we know,
[tex]\cos (x-y)=\cos x\cos y+\sin x\sin y\\\sin (x+y)=\sin x\cos y+\cos x\sin y[/tex]
using [tex]\sin ^2\theta +\cos^2 \theta =1[/tex]
[tex]\Rightarrow \cos x=\dfrac{2\sqrt{2}}{3}\\\\\Rightarrow \sin y=-\dfrac{\sqrt{7}}{4}[/tex]
[tex]\Rightarrow \cos(x-y)=(\dfrac{2\sqrt{2}}{3})\times (\dfrac{3}{4})+(-\dfrac{1}{3})\times (-\dfrac{\sqrt{7}}{4})=\dfrac{6\sqrt{2}+\sqrt{7}}{12}\\\\\\\Rightarrow \sin (x+y)=(-\dfrac{1}{3})\times \dfrac{3}{4}+\dfrac{2\sqrt{2}}{3}\times (\dfrac{-\sqrt{7}}{4})=\dfrac{-3-2\sqrt{14}}{12}[/tex]
[Exponential] |x|-2|-1|0|1|2| |y|2/9|2/3|2|6|18| When the x-value increases by 1, the y-value ________ (b-value)
Answer:
[tex]b = 3[/tex]
The value of y triples
Step-by-step explanation:
Given:
[tex]\begin{array}{cccccc}x & {-2} & {-1} & {0} & {1} & {2} \ \\ y & {\frac{2}{9}} & {\frac{2}{3}} & {2} & {6} & {18} \ \end{array}[/tex]
Required
Determine b value
An exponential equation is:
[tex]y = ab^x[/tex]
When [tex]x = 0; y =2[/tex]
So:
[tex]y = ab^x[/tex]
[tex]2 = a * b^0[/tex]
[tex]2 = a[/tex]
[tex]a = 2[/tex]
When [tex]x = 2; y = 18[/tex]
So:
[tex]18 = a * b^2[/tex]
Substitute 2 for a
[tex]18 = 2 * b^2[/tex]
Divide by 2
[tex]9 = b^2[/tex]
Take positive square roots of both sides
[tex]3 = b[/tex]
[tex]b = 3[/tex]
which fractions are less than 1/2.MORE THAN ONE ANSWER
Answer:
3/8
Step-by-step explanation:
For questions 3-5, use the FOIL method to find the product of the binomials
3. (2x+3)(x+1)
Answer:
2x² + 2x +3x +3= 2x² + 5x + 3
Can y’all help me quick
Answer:
It would be around 48 so D
Answer:
D - 48
Step-by-step explanation:
Only Answer Closest... look at where the others are and see where ten is and where the y value would be in the point.
The hexagon PQRSTU is plotted on a coordinate plane with vertices P(–1, 0), Q(–1, 3), R(1, 4), S(2, 5), T(4, 4), and U(4, 0). What is the hexagon's perimeter?
Answer:
I got- 18.2
Step-by-step explanation:
I have this on a exam im working on right now.
The perimeter of the hexagon is 12 + 2√5 + √2
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]
Where (a, b) an (c, d) are the two points.
We have,
Hexagon PQRSTU.
Vertices.
P = (–1, 0)
Q = (–1, 3)
R = (1, 4)
S = (2, 5)
T = (4, 4)
U = (4, 0)
Now,
We can make 6 lines.
PQ, QR, RS, ST, TU, and PU
We find the distance between each line.
PQ = [tex]\sqrt{(-1 + 1)^2 + (3 - 0)^2}[/tex] = 3
QR = [tex]\sqrt{(1 + 1)^2 + (4 - 3)^2}[/tex] = √5
RS = [tex]\sqrt{(2 - 1)^2 + (5 - 4)^2}[/tex] = √2
ST = [tex]\sqrt{(4 - 2)^2 + (4 - 5)^2}[/tex] = √5
TU = [tex]\sqrt{(4 - 4)^2 + (0 - 4)^2}[/tex] = 4
PU = [tex]\sqrt{(4 + 1)^2 + (0 - 0)^2}[/tex] = 5
Now,
The perimeter of the hexagon.
= 3 + √5 + √2 + √5 + 4 + 5
= 12 + 2√5 + √2
Thus,
The perimeter of the hexagon is 12 + 2√5 + √2
Learn more about distance of a line here:
https://brainly.com/question/14645718
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Erika paid a self-employment tax last year. She calculated the self-employment tax for different amounts of net
earnings and recorded them in the table shown.
Self-Employment Tax
Net
Earnings, X
Self-Employment
Tax, Y
$0
$0
$15,000
$2,295
$30,000
$4,590
$45,000
$6,885
Which function describes the relationship between x, the amount of net earnings, and y, the self-employment tax?
1-12
5
10
11
13
14 15 16 17
Back
Review/End
Next
Answer:
y=153/1000x
Step-by-step explanation:
Answer:y=153/1000x
Step-by-step explanation:
Can someone help me with this. Will Mark brainliest.
Answer: ur answer would be (1,5)
Step-by-step explanation:
Hope this helps! Have a good day! :)
can someone please help. I need the answer
Answer:
Ella since it is m cubed in brackets X 5 and the 3 is not affected so stays as a 3
Answer:
Ella
Step-by-step explanation:
Ella, because 5(m times m times m)-3 is the same as 5m^3- 3, just expanded.
help plz if u tell ill give u 5 stars and a like plz hurry plz
70 - 4a for a = 8 ??
Answer:
38
Step-by-step explanation:
Just substitute it. The equation becomes
70 - 4(8)
70 - 32 = 38
Answer:
38
Step-by-step explanation:
70 - 4a =
70 - 4*8=
70 - 32= 38
need help this is geometry will mark brainliest!!
Answer:
37.7 (approx.)
Step-by-step explanation:
The radius of the biggest circle is 3+2=5. And so the area is [tex]\pi (5)^2 = 78.54[/tex]. In the same way, the area of the two small circles are [tex]\pi (3)^2 = 28.27[/tex] and [tex]\pi (2)^2 = 12.57[/tex]
So, the area of shaded region = Area of the biggest circle - (area of small two circles)
[tex]= 78.54 - (28.27 + 12.57)\\37.7 (approx.)[/tex]
Help please
I will give a brainliest
Explain why a graphical display might be skewed. How
do you ensure data isn't skewed?
Answer: hey mate i have you answer
Step-by-step explanation: Sample Response: If the data is collected in a biased manner, the graph could be skewed. Also, if the number of observations is too small, the graph can be skewed. To ensure the data is not skewed, collect a large representative unbiased sample
Answer:
Sample Response: If the data is collected in a biased manner, the graph could be skewed. Also, if the number of observations is too small, the graph can be skewed. To ensure the data is not skewed, collect a large representative unbiased sample
Step-by-step explanation:
I need help on this homework
Answer:
Tn=a(n-1)d
T50=261(50-1)-5
T50=12784
How can you determine if the given lines are perpendicular?
Answer:
Step-by-step explanation:
Two lines are perpendicular if and only if the product of their slopes is . In other words, the slope of a line that is perpendicular to a given line is the negative reciprocal of that slope. Thus, for a line with a given slope of 3, the line perpendicular to that slope must be the negative reciprocal of 3, or .
What is the constant of proportionality of the following equation?
B = 1.25C
Answer:
The answer is 122
Step-by-step explanation: 0.25 is the constant proportionality in this equation .
let meh know if you need more answers ✨✨
Answer:
1222
Step-by-step explanation:
which expression is equivalent to 6x + 8
write the coordinates for the center of the hyperbola
Answer:
(-1 , 2)
Step-by-step explanation:
Which angles are adjacent to each other
Answer:
7
Step-by-step explanation:
Answer:
4 and 1
Step-by-step explanation:
theyre beside each other
please be as soon as possible.
Answer:
Really?
Step-by-step explanation:
Answer:
Ik
Step-by-step explanation:
Help please and thankyou :)
Answer:
1/2
Step-by-step explanation:
As you probably know 10 is double the size/amount of 5, but instead of just putting 2 you would put 1/2. That is because it is a scale factor of a scale drawing, which is not the same size and is supposed to be smaller because you can't draw a house on a paper that would fit it literally ;)
Hope this helps!
The diagonals in a kite __________.
a) bisect each other
b) are perpendicular
c) are congruent
Answer:
B
Step-by-step explanation:
Diagonals in a kite are perpendicular. I just learned this. Mark Brainliest if you get it right!!!
$37.30 for 2 pairs of jeans
Answer:
18.65
Step-by-step explanation:
Citlali was traveling at 60 miles per hour. she has already traveled 120 miles. To get to california which is 360 miles from home, and traveling at the same average speed, how many more hours will it take before he arrives in california?
Answer:
4 more hours
Step-by-step explanation:
First, you know that Citlali is traveling 60 miles per hour so he travels 60 miles every hour. He has already traveled 120 miles so you subtract 120 from 360 because that is the amount of miles Citlali now has to travel. Then, you know that she travels 60 miles per hour so the equation will be 60x=240. Then, you divide 60 in both sides and get x=4. Therefore, it will take four more hours until he arrives at California.
Hope this helps
what are the intercepts of this function f(x)= -x^2 + 6x - 5
PLEASE, I REALLY NEED YOUR HELP!!
For each of the figures, write an Absolute Value equation to satisfy the given solution set.
Answer:
|x-5|=2
Step-by-step explanation:
1- Find the mid value between the given numbers 3 and 7
(3+7)/2= 10/2 = 5
2- Find the difference btween the mid value (5) and any of the two given numbers (3 or 7). Use the absolute value for the difference.
|5-3|= 2 or |7-5|=2
3- Arrange the absolute equation like this:
|x-mid value from step 1|= absolute difference from step 2
|x-5|=2
4- Double check the answer with the given values 3 and 7 using our equation |x-5|=2
|3-5|=2 correct
|7-5|=2 correct
When Jaya goes bowling, her scores are normally distributed with a mean of 105 and a standard deviation of 10. Using the empirical rule, determine the interval that would represent the middle 95% of the scores of all the games that Jaya bowls.
Answer: (75, 135)
Step-by-step explanation:
Because the empirical rule is 3 standard deviations of the mean you would add and subtract to get your desired interval.
In this case our mean is 105 and our deviation is 10.
What you would do is add 10 to 105, 3 times to find your greatest number and the you would subtract 10 from 105, 3 times to get your lowest number.
105 + 10 + 10 + 10 = 135
105 - 10 - 10 - 10 = 75
Answer: (75, 135)
Answer:
Step-by-step explanation:
The answer is 85,125