Answers
Answer:
a = -√3/3
b = 2√3/3
Step-by-step explanation:
Finding the slope of the tangent at C by finding the derivative:
x^2 + y^2 = 1
2x + 2y y' = 0
2y y' = -2x
y' = -2x / 2y = -x/y
So the slope = - 1/2 / √3/2
= -1/2 * 2/√3
= -1/√3
= -√3/3
Using the point-slope form of a straight line
y - y1 = m(x - x1)
y - √3/2 = -√3/3(x - 1/2)
y - √3/2 = -√3/3 x +√3/6
y = -√3/3 x + √3/6 +√3/2
y = -√3/3 x + 4√3/6
y = -√3/3x + 2√3/3
Related Questions
Suppose that a family wants to start a college fund for their child. if they can get a rate of 5.2%, compounded monthly, and want the fund to have a value of $55,500 after 20 years, how much should they deposit monthly? assume an ordinary annuity and round to the nearest cent. a. $131.93 b. $2,662.49 c. $1,643.30 d. $3,446.64
Answers
The ordinary annuity is $135.40
We have given that the
P=55500$
rate(r)=5.2%
time (t)=20 years
What is the formula for the ordinary annuity ?The formula for ordinary annuity is:
[tex]P = A \times \frac{((1 + r)^n- 1)}{ r}[/tex]
Where,P - future value
r - rate
A - annuity payment
n - the number of years
Use the given value in the above formula of ordinary annuity so we get,
[tex]55000 = A ((1 + 0.052)^{20} - 1) / 0.052[/tex]
[tex]55000 = A * ((1.052)^{20} - 1) / 0.052[/tex]
[tex]55000 = A * (2.76 - 1) / 0.052[/tex]
[tex]55000 = A * 1.76 / 0.052[/tex]
[tex]55000 = A * 33.85[/tex]
[tex]A = 55000 / 33.85[/tex]
[tex]A = 1624.82[/tex]
Therefore the annual payment(A)=1624.82 and since year has 12 months, monthly payment is
[tex]1624.82 / 12 = $135.40[/tex]
Therefore we get the ordinary annuity is $135.40
To learn more about the ordinary annuity visit:
https://brainly.com/question/25792915
Answer:
a) 131.93
Step-by-step explanation:
The line nm is drawn parallel to the base BC in the triangle ABC . if the m<1=51 , find the m<2
Answers
Answer:
m∡2 is 51
Step-by-step explanation:
The parallel line creates two similar triangles.
Similar triangles with congruent angles
Also, the parallel line creates two corresponding angles.
Corresponding angles are also congruent
ANSWER FOR POINTS just doing this for people who dont know alot
Answers
Answer:
Thanks for the points! <3
who wants brainyst :)
Answers
Answer:
[tex]\sf 23\frac{1}{3} \ cups \ of \ water[/tex]
explanation:
1 hour → [tex]\sf 1\frac{2}{3} \ cups \ of \ water[/tex]
14 hours → [tex]\sf (1\frac{2}{3} *14) \ cups \ of \ water[/tex]
14 hours → [tex]\sf 23\frac{1}{3} \ cups \ of \ water[/tex]
Answer:-
Given :-
Drinks 1 ⅔cup for 1 hr of exerciseHe did 14 hrs of exercise in full monthSolution:-
According to questions ( unitary method)
[tex]1hr - > 1\frac{2}{3} cups = \frac{5}{3} cups\\ so - > \\ 14hrs - > \frac{5}{3} \times 14 \: cups \\ 14hrs - > \frac{70}{3} = 23 \frac{1}{3} cups[/tex]
So :- Option B :- 23 ⅓ cups of waterOne card is drawn from a deck of 52 cards,well-shuffled .calculate the probability that the card will be diamond.
Answers
Answer:
52/4 which is 13, so 13/52 which is .25, so 25% chance
Can someone please explain how to answer no8 and no9?
Answers
Answer:
no8 is a and no9 is b
Math questions :D
(part 2 of yesterday's history questions)
(these questions are easy cuz I couldn't find any hard ones)
1. What is the perimeter of a circle called? Show answer.
2. What is the square root of 144?
3. Can Pi be written as a fraction
4. What is 64 divided by 8?
5. Which number is greater, a googol, or a quadrillion?
Answers
Answer:
1.pi times the radius squared
2. 12
3. Yes
4. 8
5. a googol
Step-by-step explanation:
12
Question #3 Answer:22/7 I believe is the closest fraction.
It is irrational by definition and cannot be expressed as a fraction. But there are a few close approximations.
Pi is not a fraction. A close approximation to pi, on the other hand, is 22/7.
Question #4 Answer:8
Explanation:Based on the given conditions, formulate:
[tex]64/8[/tex]
Calculate
[tex]\frac{64}{8}[/tex]
Cross out the common factor
[tex]8[/tex]
I can figure out the rest once I get back home. I'm sorry I ran out of time.
(-4×√1/16÷0.5) and (3+(-5))²
Answers
you answer is this 364. 41
your welcome
have a good day or night
Answer:
3.5
Step-by-step explanation:
Solve the inequality x +1<5
Answers
Answer:
x<4Step-by-step explanation:
x+1<5x<5-1x<4 answer.Alaska is the largest state in the United States. The state has an area of approximately 663,000 square miles. Rhode Island is the smallest state in the United States, with an area of approximately 1,000 square miles. Currently, the populations of Alaska and Rhode Island are 732,000 people and 1 million people, respectively. If Alaska had the same number of people per square mile as Rhode Island, what would its population be? In two or more sentences, explain your calculations and conclusions.
Answers
Answer:
663 Million people
Step-by-step explanation:
If you divide alaska into rhode island its 663 rhode islands in alaska, then theres 663 people in alaska fi the populations were the same
100 POINTS!!!
If you have a line perpendicular to the line given by the equation
, what would be the slope of the perpendicular line?
EXPLAIN
Answers
Answer:
A.
Step-by-step explanation:
The slope of a perpendicular line is the negative reciprocal of the original line.
Negative reciprocal of -4/5 is 5/4
13u = 26 is it 39, 338 , or 2
Answers
Answer:
13u = 26
13*2 = 26
2 is the answer
Answer:
Today: Monday, 12 October 2020
Hour: 09.17 WIB (in Indonesian)
_________________________
13u = 26
u = 26/13
u = 2
A hoodie has an original
cost of $40 but is currently on
sale at 20% off. What is the
sale price of the hoodie?
Answers
Answer:
32
Step-by-step explanation:
take $40, multiply by .8 since 20% is the sale
Suppose you are mixing
blue paint and yellow point
in a 2:3 ratio to make green
paint. How many pails of
blue paint would you need
If you use 30 pails of yellow
paint?
Answers
Answer:
20
Step-by-step explanation
I have no clue how to explain this.
Find the value of c-7 when c= 20.
Answers
Answer:
13
Step-by-step explanation:
hopefully that helps :)
Which expression is equivalent to 6 Superscript 4 times 6 cubed? (6 times 6 times 6 times 6) (6 times 6 times 6) (6 6 6 6) times (6 6 6) (6 times 6 times 6 times 6) times (6 times 6 times 6) (6 times 6 times 6 times 6 times 6) times (6 times 6 times 6 times 6).
Answers
The expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,
[tex]6\times6\times6\times6)\times6[/tex]
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given statement for the expression is 6 Superscript 4 times 6 cubed. This expression cab be written as,
[tex]6^4\times6[/tex]
Suppose the equivalent expression of this equation is n. Thus,
[tex]n=6^4\times6[/tex]
The 4 power of number 6 means that the number 6 should be multiplied 4 times.
[tex]n=(6\times6\times6\times6)\times6[/tex]
Hence, the expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,
[tex]6\times6\times6\times6)\times6[/tex]
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
Answer: (6.6.6.6).6
Step-by-step explanation:
Complete the table below: Show all your work.
Answers
y = (-2) - 6 = -8
y = (-1) - 6 = -7
y = (0) - 6 = -6
y = (1) - 6 = -5
y = (2) - 6 = -4
-2 = -8
-1 = -7
0 = -6
1 = -5
2 = -4
In an obstacle course, participants climb to the top of a tower and use a zip line to travel across a mud pit. The zip line extends from the top of a tower to a point on the ground 60 feet away from the base of the tower. The angle of elevation of the zip line is 20°. Estimate the length of the zip line to the nearest tenth of a foot.
about 63.9 ft
about 21.8 ft
about 175.4 ft
about 164.8 ft
Answers
Using relations in a right triangle, it is found that the length of the zip line is of about 63.9 ft.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.In this problem, the hypotenuse is the length of the line, considering that the base of 60 ft is adjacent to the angle of 20º, hence:
[tex]\cos{20^\circ} = \frac{60}{l}[/tex]
[tex]l = \frac{60}{\cos{20^\circ}}[/tex]
[tex]l = 63.9[/tex]
The length of the zip line is of about 63.9 ft.
More can be learned about the relations in a right triangle at https://brainly.com/question/18090623
The cost to rent a bike is $28 for the first day plus $2 for each day after that. Write an explicit formula for the rental cost for n days. What is the cost of renting the bike for 8 days?
Answers
Answer:
42
Step-by-step explanation:
The explicit formula for the rental cost is =+. The cost of renting a bike for 2 days is $42.
The equation for the rental cost for n days will be 28 + 2n.
Based on the information given, the explicit formula for the rental cost for n days will be:
= 28 + (2 × n)
= 28 + 2n
Therefore, the cost of renting the bike for 8 days will be:
= 28 + 2n
= 28 + 2(8)
= 28 + 16 = 44
Learn more about equations on:
https://brainly.com/question/2972832
Aldo drove 845 miles in 13 hours.
At the same rate, how long would it take him to drive 325 miles?
Answers
Answer:
5 hours
Step-by-step explanation:
time per mile = number of hours ÷ number of miles
= 13 ÷ 845
= 1/65 hours per mile
time to drive 325 miles = 325 × time per mile
= 325 × 1/65
= 5 hours
Unit test in science if you took it. It's question 10 four students measure the length of a paperclip whose actual length is 3.2 cm. Whose measurement is precise but not accurate? IS IT A OR B I DONT KNOW A.Samuel: 2.7, 2.7, 2.7, 2.8 B. Jose: 2.2, 2.6, 3.0, 3.3 C. Nikita: 3.1, 3.1, 3.2, 3.2 D. Anne: 2.6, 3.2, 3.2, 3.6
Answers
Answer: A.Samuel: 2.7, 2.7, 2.7, 2.8
Step-by-step explanation:
Given that actual length = 3.2cm
Samuel's score is precise but inaccurate. This is because, each of Samuel's four measurements are close to each other even though it lacks accuracy, because it is a bit far from the actual value of the measurement. Hence, of the measurements given for each of Samuel, Nikita, Jose and Anne, Samuel's score exhibits precision but inaccurate. Nikita's score is both precise and accurate
Picture I drew of custom made re animated sasuke eye
Answers
Answer:
[tex]five[/tex] [tex]stars![/tex]
★ ★ ★ ★ ★
find the value of 8
[tex] {8}^{3} [/tex]
Answers
Plz, Help Me!!!!
Solve: f(x)=(-)x-5
And tell me how to solve it.
Answers
Answer:
listen to your teacher for once mabey that will help?
Step-by-step explanation:
Your friend claims the uneven parallel bars in gymnastics are not really parallel. She says one is higher than the other, so they cannot be the same plane. Is she correct? Explain
A. Yes; the two bars actually form skew lines
B.no ; the bars are in different planes, but they are still parallel
C. Yes; the bars are not parallel bc they are in different planes
D.no; the bars are in the same plane that is slanted with respect to the horizontal
Answers
Answer:
B
Step-by-step explanation:
Because parrallel means they will never intersect so there for i got B. Hope i was helpful.
Ima dumb child please help meh :
Answers
Answer:
what can not see nothing
Step-by-step explanation:
1. Square roots are the____of perfect squares. ( i really need help like now plz )
Answers
Answer:
opposite
thats the answer
Answer: Whole number (I think)
Step-by-step explanation: Sorry if I am wrong..
(Sorry I am wrong lol)
Given f(x) = 9x - 10, find f(8) *
Answers
Answer:
[tex]\huge\boxed{f(8) = 62}[/tex]
Step-by-step explanation:
[tex]\sf f(x) = 9x-10\\\\Put\ x = 8\\\\f(8) = 9(8) -10\\\\f(8) = 72-10\\\\f(8) = 62\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Answer:
f(8) = 62
Step-by-step explanation:
To evaluate f(8) substitute x = 8 into f(x) , that is
f(8) = 9(8) - 10 = 72 - 10 = 62
Simplify this expression: One-half k squared + g minus 3 + one-half k squared minus 3 + 2 g k2 + 3g – 6 One-fourthk2 + 3g 3g + 9 k2 – 3
Answers
Answer:
The answer is A, k2 + 3g – 6
Step-by-step explanation:
did the assignment on edge2020
A:
Simplify this expression: One-half k squared + g minus 3 + one-half k squared minus 3 + 2 g
An object is moving at a speed of 3 meters per minute. Express this speed in miles per year.
Answers
Answer:
979.78.
Step-by-step explanation:
Answer:
979.78
Step-by-step explanation: