9514 1404 393
Answer:
10%
Step-by-step explanation:
The balance when principal P is invested at rate r compounded n times per year for t years is ...
A = P(1 +r/n)^(nt)
We have A = 847, P = 700, n = 1, t = 2 and we want to solve for r. Filling in the values and solving the equation gives ...
847 = 700(1 +r)^2
√(847/700) = 1 +r = 1.10 . . . . divide by 700 and take the square root
r = 0.10 = 10% . . . . . subtract 1
An interest rate of 10% compounded annually will give a balance of ₹847.
Look at the image to see the question
Answer:
Does the answer help you
The recipe for gelatin uses 2 cups of water with 4 packages of the gelatin mix. ? How many cups of water will be used with 12 packages of gelatin mix?
Step-by-step explanation:
2 cups of water used with 4 packs
therefore for 12 we use x cups of water
2:4
X :12
therefore 6'cups of water?
y = −1 / 4 (x + 4) 2 −1 on a coordinate plane using its vertex, focus, and directrix.
Answer:
Hello,
Step-by-step explanation:
do I remind you of the formula :
where (a,b) is the vertex and y=k the directrix
[tex]y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\\\y=-\dfrac{(x+4)^2}{4} -1 \\\\Using\ identification:\\a=-4\\2(b-k)=-4\\b+k=-2\\\\\left\{\begin{array}{ccc}b-k&=&-2\\b+k&=&-2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}2b&=&-4\\2k&=&0\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}b&=&-2\\k&=&0\\\end{array}\right.\\[/tex]
Focus=(-4,-2)
Directrix: y=0
Vertex=(-4,-1)
PLEASE HELP :'))
Point R is a centroid of the triangle SQU. If VR = 18 cm, what is UV?
A) 12 cm
B) 36 cm
C) 27 cm
D) 54 cm
Answer:
D) 54 cm
Step-by-step explanation:
We can use the Centroid Theorem to solve this problem, which states that the centroid of a triangle is [tex]\frac{2}{3}[/tex] of the distance from each of the triangle's vertices to the midpoint of the opposite side.
Therefore, [tex]R[/tex] is [tex]\frac{2}{3}[/tex] of the distance from [tex]U[/tex] to [tex]V[/tex], since the latter is the midpoint of the side opposite to [tex]U[/tex]. We know this because [tex]R[/tex] belongs to [tex]UV[/tex], so [tex]R[/tex] must be [tex]QS[/tex]'s midpoint due to the fact that by definition, the centroid of a triangle is the intersection of a triangle's three medians (segments which connect a vertex of a triangle to the midpoint of the side opposite to it).
We can then write the following equation:
[tex]VR=\frac{1}{3} UV[/tex]
Substituting [tex]VR = 18[/tex] into the equation gives us:
[tex]18=\frac{1}{3} UV[/tex]
Solving for [tex]UV[/tex], we get:
[tex]18=\frac{1}{3} UV[/tex]
[tex]3 *18=3*\frac{1}{3}UV[/tex] (Multiply both sides of the equation by [tex]3[/tex] to get rid of [tex]UV[/tex]'s coefficient)
[tex]54=UV[/tex] (Simplify)
[tex]UV=54[/tex] (Symmetric Property of Equality)
Therefore, the answer is D. Hope this helps!
solve the equation -x^2+5x+9=0
-x² + 5x + 9 = 0
On comparing this equation to: ax²+bx+c= 0
We get, a = -1; b = 5; c = 9
Solving by quadratic formula,
x = [-b ± √(b²-4ac)]/2a
=> x = [-5 ± √{5²-4(-1)(9)}]/2(-1)
=> x = [-5 ± √(25-(-36)]/-2
=> x = [-5 ± √(25+36)]/-2
=> x = [-5 ± √61]/-2
=> x = [-5 + √61]/-2 or [-5 - √61]/-2
=> x = (-5/-2) + (√61/-2) or (-5/-2) + (-√61/-2)
=> x = (5/2) + (-√61/2) or (5/2) + (√61/2)
So, x = (5/2) + (-√61/2) or (5/2) + (√61/2)
8x( 5 x 2 ) Pls give answer
Answer:
80x
Step-by-step explanation:
Bracket first
5 x 2 = 10
8x x 10 = 80x
(Unless the 'x' next to the 8 is the term for multiplying:
8 x 10 = 80)
Answer:
80
Step-by-step explanation:
8 x (5 x 2)
8 x 10
Answer = 80
tan inverse X + tan inverse Y + tan inverse z=pie prove that X+Y+Z=xyz
Answer:
see explanation
Step-by-step explanation:
Given
[tex]tan^{-1}[/tex]x + [tex]tan^{-1}[/tex]y + [tex]tan^{-1}[/tex] z = π
let
[tex]tan^{-1}[/tex]x = A , [tex]tan^{-1}[/tex]y = B , [tex]tan^{-1}[/tex]z = C , so
x = tanA, y = tanB , z = tanC
Substituting values
A + B + C = π ( subtract C from both sides )
A + B = π - C ( take tan of both sides )
tan(A + B) = tan(π - C) = - tanC ( expand left side using addition identity for tan )
[tex]\frac{tanA+tanB}{1-tanAtanB}[/tex] = - tanC ( multiply both sides by 1 - tanAtanB )
tanA + tanB = - tanC( 1 - tanAtanB) ← distribute
tanA+ tanB = - tanC + tanAtanBtanC ( add tanC to both sides )
tanA + tanB + tanC = tanAtanBtanC , that is
x + y + z = xyz
I need help with this question plz
Answer:
slope = 6
tangent line y=6x-5
Step-by-step explanation:
Stephanie went to the shoe store and bought two pairs of flip-flops. One pair was $19.95, and the other was $23.55. If she has $50.00, how much will she have left after buying the shoes?
Answer:
$6.50
Step-by-step explanation:
First start by adding the prices of the pairs of shoes combined.
19.95+23.55=43.50
subtract the total price of both pairs of shoes from her total
50-43.50 = 6.50
find the measure of a
Answer:
C
Step-by-step explanation:
e = 20 ° angles subtended by the same arc are equal
d = 20° opp base angles of an isosceles are equal
a+d =90° angles subtended by a diameter = 90°
a+20=90°
a=70°
Sociologists say that 90% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that seven married women are having coffee together one morning. Find the following probabilities. (For each answer, enter a number. Round your answers to three decimal places.) (a) All of them dislike their mother-in-law. (b) None of them dislike their mother-in-law. (c) At least five of them dislike their mother-in-law. (d) No more than four of them dislike their mother-in-law.
For each married women, there are only two possible outcomes. Either they dislike their mother in law, or they do not. The probability of a women disliking their mother in law is independent of any other women, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
90% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention).
This means that [tex]p = 0.9[/tex]
Suppose that seven married women are having coffee together one morning.
This means that [tex]n = 7[/tex]
Question a:
This is P(X = 7), so:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 7) = C_{7,7}.(0.9)^{7}.(0.1)^{0} = 0.4783[/tex]
Thus, 0.4783 = 47.83% probability that all of them dislike their mother-in-law.
Question b:
This is P(X = 0), so:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{7,0}.(0.9)^{0}.(0.1)^{7} = 10^{-7}[/tex]
Thus, [tex]10^{-7}[/tex] probability that none of them dislike their mother-in-law.
Question c:
This is:
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7)[/tex], so:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{7,5}.(0.9)^{5}.(0.1)^{2} = 0.1240[/tex]
[tex]P(X = 6) = C_{7,6}.(0.9)^{6}.(0.1)^{1} = 0.3720[/tex]
[tex]P(X = 7) = C_{7,7}.(0.9)^{7}.(0.1)^{0} = 0.4783[/tex]
Then
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1240 + 0.3720 + 0.4783 = 0.9743[/tex]
0.9743 = 97.43% probability that at least five of them dislike their mother-in-law.
Question d:
This is:
[tex]P(X \leq 4) = 1 - P(X > 4)[/tex]
Considering [tex]P(X > 4) = P(X \geq 5) = 0.9743[/tex]:
[tex]P(X \leq 4) = 1 - P(X > 4) = 1 - 0.9743 = 0.0257[/tex]
Thus, 0.0257 = 2.57% probability that no more than four of them dislike their mother-in-law.
For another example of the binomial distribution, you can check https://brainly.com/question/15557838
A circle is centered at (7, 8) and has a radius of 11. Which of the following is the equation for this circle? (x − 7)2 + (y − 8)2 = 121 (x − 7)2 + (y − 8)2 = 11 (x + 7)2 + (y + 8)2 = 121 (x + 7)2 + (y + 8)2 = 11
Answer:
(x − 7)2 + (y − 8)2 = 11
Step-by-step explanation:
I took the test
The equation of the circle with center at (7, 8) and radius of 11 is
(x - 7)² + (y - 8)² =121
The equation of a circle with center at (a, b) and radius of r is:
(x - a)² + (y - b)² = r²
The center of the circle, (a, b) = (7, 8)
That is, a = 7, b = 8
The radius, r = 11
Substitute a = 7, b = 8, and r = 11 into the equation (x - a)² + (y - b)² = r²:
(x - 7)² + (y - 8)² = 11²
(x - 7)² + (y - 8)² = 121
Therefore, the equation of the circle with center at (7, 8) and radius of 11 is
(x - 7)² + (y - 8)² =121
Learn more here: https://brainly.com/question/23226948
A fruit production company has three packaging facilities, each of which uses different-sized boxes as follows: 20 pieces/box, 28 pieces/box, and 36 pieces/box. Step 1 of 2: Assuming that the truck provides the same quantity of uniformly-sized pieces of fruit to all three packaging facilities, what is the minimum number of pieces of fruit that will be delivered so that no fruit will be left over
9514 1404 393
Answer:
1260
Step-by-step explanation:
The required number is the Least Common Multiple of the box sizes:
LCM(20, 28, 36) = 4·5·7·9 = 1260
1260 pieces of fruit will be delivered so that none is left over.
Circle O has secants GEY and MTY meeting at Point Y. Use the given information to solve for the missing angle or arc. If the measure of arc GM is 142degree and the measure of angleY = 58.5, find the measure of arc ET.
Answer:
Hello,
answer: m∠arc ET=25°
Y is out the circle .
y is a exterior angle of the circle.
Step-by-step explanation:
m∠y=58.5°
m∠arc GM=142°
m∠arc ET=x°
m∠arc ET=25°
Please answer due tonight!!!
Answer:
Step-by-step explanation:
Factored form: (x - 8)(x + 1)
x-int: (8, 0) and (-1, 0)
Axis of symmetry: -(-7)/2 = 7/2
Vertex: (7/2, -81/4)
Domain: all real numbers
Range: y>= -81/4
Write a linear(y =mx + b) quadratic (y = ax exponent 2) or exponential (y = a(b) x) function that models the data HELP
Answer:
y = 48x + 36
Step-by-step explanation:
m = 48
y = 48x +36
6) Frazer cycles the first 20 miles at an average speed of 21mph. The second
part is more uphill, and he only manages 13mph. By what percentage did his
speed decrease?
How to solve
9514 1404 393
Answer:
38.1% decrease
Step-by-step explanation:
A percentage change is found from ...
% change = (change)/(original amount) × 100%
= (new value - original amount)/(original amount) × 100%
= (13 -21)/21 × 100% = -8/21 × 100% ≈ -38.1%
Frazer's speed decreased by 38.1% during the second part.
_____
Additional comment
A negative % change represents a decrease; a positive % change represents an increase.
A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation?
* Infinitely many solutions exist because the two situations describe the same line.
* Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts.
* No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
* Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept.
Answer:
There is no solution to this.
Explanation :
We have a double system of equation to solve. Let x be the big number and let y be the smaller number, such that y < x.
x is equal to twice a smaller number plus 3, which translates into : x = 2y + 3
and x is equal to twice the sum of the smaller number and 1 : x = 2 * (y + 1)
We get this system to solve : [tex]\left \{{{x=2y+3} \atop {x=2(y+1)}} \right. \left \{{{x-2y=3} \atop {x-2y=2}} \right.[/tex]
It's either x minus 2y equals 3, or x minus 2y = 2 but it can't be both. No solutions exist because the situation describes two lines that have the same slope and different y-intercepts
Solve the following equation by using the addition principle. Check the solution.
-4/5 + y = -1/4
Answer:
y = 11/20
Step-by-step explanation:
-4/5 + y = -1/4
Add 4/5 to each side
-4/5 +4/5 + y = -1/4+4/5
y = -1/4 + 4/5
Get a common denominator
y = -1/4 *5/5 + 4/5 *4/4
y = -5/20 + 16/20
y = 11/20
Check
-4/5 +11/20 = -1/4
Get a common denominator
-4/5*4/4 + 11/20 = -1/4*5/5
-16/20 +11/20 = -5/20
-5/20 = - 5/20
Check
Step-by-step explanation:
[tex] - \frac{4}{5} + y = - \frac{1}{4} \\ y = \frac{ - 1}{4} + \frac{4}{5} \\ y = \frac{ - 5 + 16}{20} \\ y = \frac{11}{20} [/tex]
[tex]y = \frac{11}{20} [/tex]
increased from 1432 to 2219. Which of the following is the approximate percent of increase
22. Between the years 2000 and 2010, the number of births in the town of Daneville
in the number of births during those ten years?
a. 55%
b. 36%
c. 64%
d. 42%
9514 1404 393
Answer:
a. 55%
Step-by-step explanation:
The percentage increase is calculated from ...
% increase = (amount of increase)/(original amount) × 100%
= (2219 -1432)/1432 × 100% = 787/1432 × 100% ≈ 54.96%
The number of births increased by about 55% during those 10 years.
Answer:
Step-by-step explanation:
2219-1432/1432 x 100% = 787/1432 x 100 = 54.9581~~ 55%
Which of the following graphs represents a one-to-one function? On a coordinate plane, a function has two curves connected to a straight line. The first curve has a maximum of (negative 6, 4) and a minimum of (negative 4.5, negative 1). The second curve has a maximum of (negative 3.5, 2) and a minimum of (negative 2.5, 0.5). The straight line has a positive slope and starts at (negative 2, 1) and goes through (1, 2). On a coordinate plane, a circle intersects the x=axis at (negative 2, 0) and (2, 0) and intercepts the y-axis at (0, 4) and (0, negative 4). On a coordinate plane, a v-shaped graph is facing up. The vertex is at (0,0) and the function goes through (negative 4, 4) and (4, 4). A coordinate plane has 7 points. The points are (negative 4, 1), (negative 3, 4), (negative 1, 3), (1, negative 3), (3, negative 4), (4, negative 2), (5, 3). Mark this and return
Answer:
d. this graph
Step-by-step explanation:
303 million, 90 thousand write it in digits
Please help meeee
Find the value of d.
A. 47
B. 56
C. 75
D. 30
Answer:
56
Step-by-step explanation:
Angle Formed by Two Chords= 1/2(sum of Intercepted Arcs)
75 = 1/2 (94+d)
Multiply by 2
75*2 = 94+d
150 = 94+d
Subtract 94 from each side
150-94 = d
56=d
Solve equation for the given variable
Answer:
p=30
Step-by-step explanation:
First, you need to subtract 10 from both sides to get 1/2p=25. You do this just because simplifying is much easier.
Then, you need to isolate p, so you divide 1/2 by both sides, which is the same thing as multiplying by 2. 1/2*2p=15*2.
Simplifying, you get p=30.
Answer:
2. x = 2
3. p = 30
4. n = 1/10 ---> less than 1 whole
5. r = 5/2 ----> greater than 1 whole
Step-by-step explanation:
See the images attached below for better understanding. If you don't understand the steps I've composed, please comment down below and I will help you! :)
–21:(–2 – 5) + ( –14) + 6.(8 – 4.3)
What is the slope of the linear function that passes through the points (-2, 3) and (3, -4)?
Answer:
-7/5
Step-by-step explanation:
Slope,
(-4-3)/(3-(-2))
= -7/5
[tex]\boxed{\sf Slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-4-3}{3+2}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-7}{5}[/tex]
what is 5(2x - 2y) - (4x + 3y)
Answer:
6x - 13y
Step-by-step explanation:
5(2x - 2y) - (4x + 3y)
10x - 10y - 4x - 3y
10x - 4x - 10y - 3y
6x - 13y
A garden plot turned out to be a trapezoid whose parallel sides
measured 18 feet and 42 feet respectively. The garden is 12 feet wide.
What is the area of the garden plot?
Select one:
n
O a. 720 ft?
b. 9,072 ft2
O c. 42 ft?
O d. 360 ft
Answer:
Step-by-step explanation:
Trapezoid area is the Average of the parallel lines times the width
A = ½(18 + 42)(12) = 360 ft²
The area of the garden plot is 360 ft².
What is Trapezoid?
A trapezoid is a four-sided closed 2D figure which has an area and its perimeter. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid.
Here, the length of parallel sides = 18ft. and 42 ft.
Width of plot = 12 ft.
Area of Trapezoid = 1/2 X (b₁+b₂) X h
= 1/2 X (18 + 42) X 12
= 6 X 60
= 360 sq. ft.
Thus, the area of the garden plot is 360 ft².
Learn more about trapezoid from:
https://brainly.com/question/11908553
#SPJ2
What is the equation of this graph
Answer:
y-1=x^2
Step-by-step explanation:
That is the equation of a parabola with vertex at (0,1). The equation is y-1=x^2.
I need help in math please, if you can
Answer:
Step-by-step explanation:
400*e^(.09*3)
$523.97
answer is b
Answer: Option B
$523.97
Explanation:
= 400×e^(0.09×3)
= $523.97
Must click thanks and mark brainliest
