The total amount accrued, principal plus interest, with compound interest on a principal of $3,000.00 at a rate of 6% per year compounded 1 times per year over 3 years is $3,573.05.
Compound InterestGiven Data
Principal = $3000Rate = 6%Time = 3 yearsA = P + I where
P (principal) = $3,000.00
I (interest) = $573.05
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 6/100
r = 0.06 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 3,000.00(1 + 0.06/1)^(1)(3)
A = 3,000.00(1 + 0.06)^(3)
A = $3,573.05
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24. generalize what are the attributes of fractions
that are equivalent to 100%
Answer:
when a fraction equals 100% it means it has the same numbers for its numerator and denominator such as 4/4 or 18/18
Step-by-step explanation:
When it has the same numbers for its numerator and denominator it will be 100%
Find the measure of angle PRT.
Select one:
A. 45°
B. 90°
C. 120°
D. 180°
Answer:
The measure of angle PRT would be:
B.) 90 degrees
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
The angle letters PRT all will connect at one point which is the angle we will measure.
Angle PRT = 90 degrees
write using algerba a skick l feet long is brokeninto two parts one of which is twice as long as the other how long is the shoter peice
Answer:
Step-by-step explanation:
1/3 of the original
Step-by-step explanation:
one piece is TWO times longer than the other one. if you break it in half you have three pieces that are all the same size
Step-by-step explanation: Is (5, 5) a solution to the equation y=x ?
Answer:
Yes, (5,5) is a solution of y=x
Step-by-step explanation:
A point is given as a coordinate pair, (x,y). The first number is x and the second number is y. A solution is a pair of numbers that will make the equation true.
To check if the point is a solution, fill in the first number in place of x in the equation. Then fill in the second number for the y.
Here we have the equation:
y = x
Substituting (filling in) we get:
5 = 5 a true statement. So (5,5) IS a solution.
Alternatively, you could graph the equation and verify that the point is on the graph. see image.
please help with 1 or 2 i’ll mark brainly
Answer:
700 cubic centimetersDisagree. Volume does not depend on slant height.Step-by-step explanation:
Cavalier's Principle tells you that the slant figures with the same base area and height have the same volume, regardless of the amount of offset.
__
1.The volume of the oblique cylinder is the same as the volume of the right cylinder: 700 cubic centimeters.
__
2.Disagree. Both the volume formula for the pyramid and Cavalier's Principle tell you that the volume is not a function of the slant height.
Find the surface area
Answer:
B.
Step-by-step explanation:
6x3=18
18x4=72
3x3=9
9x2=18
72=18=90
6 cm
6cm
6 cm
5 cm
4 cm
8cm
Solid B
Solid A
Which of the above solids has the larger surface area?
O O A. Solid A
O
B. Solid B
C. They have the same surface area.
Answer:
Solid A
Step-by-step explanation:
Surface area of a cube: 6 x a², where a is the side.
= 6 x 6²
= 6 x 36
= 216 cm²
Surface area of the cuboid/rectangular prism: 2(lw + wh + lh), where l is the length, w is the width, h is height.
= 2((5 x 4) + (4 x 8) + (5 x 8))
= 2(20 + 32 + 40)
= 2(92)
= 184 cm²
Therefore, Solid A has the larger surface area compared to Solid B.
N is an integer and -2
Answer:
(2) n > 6 (3) -4, -3, -2, -1, 0, and 1.
Step-by-step explanation:
(2) to solve first we subtract 12n from both sides making it 3n > 18 then we divide 3...making it n>6 (remember if you're solving an inequality its not unlike solving an equation)
(3) For this let's separate it into -2<n+3 which solving gets us n > -5
Steps: we subtract 3 from both sides again which makes it -5 < n but usually the variable should go to the left of an equality so n> -5
The other part is n+3 is less than equal to 4. which equals n is less than equal to 1 (I think you get how to solve now :)
once we combine both of the inequalities you'll get -5<n less than equal to 1. Which means the possible values are -4, -3, -2, -1, 0, and 1.
(a). The solution is [tex]n > 6[/tex]
(b). The all possible values of n are [tex]-4,-3,-2,-1,0,1[/tex]
Inequality:(a). The given inequality is;
[tex]15n > 12n+18[/tex]
Now we have to solve inequality,
[tex]15n > 12n+18\\\\15n-12n > 18\\\\3n > 18\\\\n > 18/3\\\\n > 6[/tex]
(b). Inequality is [tex]-2 < n+3\leq 4[/tex]
Now we have to solve inequality,
[tex]-2 < n+3\leq 4\\\\-2-3 < n\leq 4-3\\\\-5 < n\leq 1[/tex]
So that, the all possible values of n are [tex]-4,-3,-2,-1,0,1[/tex]
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A young Witch flew her broom 48 miles form her home to a witch festival. Flying with the wind, the trip took 3 hours. Her flight home against the wind took 4 fours. find the speed of the wind and the speed of the broom in still air
Using the relation between velocity, distance and time, it is found that:
The speed of the wind is of 2 mph.The speed of the broom is of 14 mph.What is the relation between velocity, distance and time?
Velocity is distance divided by time, hence:
[tex]v = \frac{d}{t}[/tex]
Flying with the wind, in which [tex]v = v_b + v_w[/tex] the 48-mile trip took 3 hours, hence:
[tex]v = \frac{d}{t}[/tex]
[tex]v_b + v_w = \frac{48}{3}[/tex]
[tex]v_b + v_w = 16[/tex]
Her flight home against the wind took 4 fours, hence:
[tex]v = \frac{d}{t}[/tex]
[tex]v_b - v_w = \frac{48}{4}[/tex]
[tex]v_b - v_w = 12[/tex]
Adding the two equations:
[tex]2v_b = 28[/tex]
[tex]v_b = 14[/tex]
[tex]v_b + v_w = 16 \rightarrow v_w = 2[/tex]
Hence:
The speed of the wind is of 2 mph.The speed of the broom is of 14 mph.More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
If the sum of the 8th & 9th terms of an arithmetic progression is 72 and the 4th term is -6. Find the common difference.
Answer:
Correct Answer: Option D
Step-by-step explanation:
9 1/3
hope that helps
simplify 12(3a-1)-3(14a-1)
Step-by-step explanation:
please mark me as brainlest
Answer:
6a - 9
Step-by-step explanation:
[tex]12(3a-1) -3(14a-1)\\[/tex]
First you want to factor. Factor out a -3 from both terms.
[tex]= (-3)(-4(4a-1) + (14a-1))\\[/tex]
Then you want to expand the right bracket.
[tex]= (-3)(-16a + 4 + 14a - 1)\\[/tex]
Collect the like terms
[tex]= (-3)(-2a +3)\\[/tex]
Distribute:
[tex]= 6a - 9[/tex]
Given the value of the hypotenuse c for a 30°-60°-90° triangle, write the equations to represent sides a and b in terms of c. Assume a is the shorter leg.
Answer:
a = 1/2 • c
b = (root3)/2 • c
Step-by-step explanation:
30°-60°-90° triangle is a Special Right Triangle. There's a great short cut to find the sides if you know any one side. No trig or Pythagorean Theorem necessary (but that is where the short cut comes from)
The hypotenuse is double the short leg OR the short leg is half the hypotenuse. The long leg is the short leg times the sqroot3. Your question asked for everything in terms of c (the hypotenuse) see image. We can use these shortcuts to find your answer. See image.
If tan theta = startfraction 11 over 60 endfraction, what is the value of cot theta?
The value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].
Given that trigonometric ratio:
[tex]tan\theta = \frac{11}{60}[/tex]
What is the tangent of an angle?The tangent of an angle is the ratio of the opposite side(to that angle) to the adjacent side(to that angle).
So, for the given problem
Opposite side to [tex]\theta[/tex] = 11
Adjacent side to [tex]\theta[/tex] = 60
So, [tex]cot \theta =\frac{AdjacentSide }{OppositeSide}[/tex]
[tex]cot\theta =\frac{60}{11}[/tex]
Therefore, the value of [tex]cot\theta[/tex] when [tex]tan\theta =\frac{11}{60}[/tex] comes to be [tex]\frac{60}{11}[/tex].
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Answer:
60/11 is correct (option c)
Step-by-step explanation:
I just took the test
A bag contains 3 red marbles and 4 blue marbles.
A marble is taken at random from the bag and replaced.
Another marble is taken from the bag.
Work out the probability that the 2 marbles taken from the bag are the same colour.
Give your answer as a fraction.
Answer:
Total number of marbles in the bag is 3 + 4 = 7.
The problem asks for the probability of (RR) or (BB).
It's worthy to note we are replacing the balls after each draw, which means we always have 7 to draw from
Since each draw is independent, we take the product of each event for the total event probability.
P(RR) = 3/7 * 3/7 = 9/49
P(BB) = 4/7 * 4/7 = 16/49
We want to know P(RR) + P(BB)
P(RR) + P(BB) = 9/49 + 16/49 = 25/49
What’s the expression of (9x2 - 2x + 7) + (4x2 + 7x + 2)
Answer:
35+5x
Step-by-step explanation:
Pick each bracket and solve them separately. After solving, then you add them
the first bracket= (9x2-2x+7) = 25-2x ------- eqn 1
the second bracket= (4x2+7x+2) = 10+7x ---- eqn 2
Add eqn 1 and 2
= (25-2x) + (10+7x)
Grouping like terms,
= (25+10) + (-2x+7x)
=35+5x
Express as in Kg using decimals.
a) 12 g. b) 7 g.
c) 35 kg 15 g. d) 675 g
Answer:
a)0.012 kg
b)0.007kg
c)35.015kg
d)0.675kg
Step-by-step explanation:
please mark me as brainlest
complete the proof, word bank at the bottom HELP PLEASE LOL
Given: ∠VYZ≅∠YWX, m∠VZY+m∠ZYX=180°
Prove: △ZVY∼△XYW
Answer:
Step-by-step explanation:
3) Definition of supplementary angles
4) Consecutive interior angles converse
5) Alternate interior angles
6) AA similarity
a. Quick please A 1/2+4\9=? and is it greater than one or less than one please explain
B. 2 1/4-1 1/5 do the same thing please remember if it’s greater than one or less than one and explain
Answer:
it is B
Step-by-step explanation:
B is 1 1/20 and A is only 17/18
at the clothing store 1/8 of the plots arch shirts of the shirt .1/4 are green what fraction of the clothing and the store are green shirts
Answer:
Diana works at a clothing store. She sold 1/5 of the total number of green shirts on Monday and 3/12 of the total number of green shirts on Tuesday.
PLS HELP WILL GIVE BRAINLIEST
Answer:
y=2x+b
Step-by-step explanation:
The point (3, 4) is on a circle with a center (1, 4).
Find the radius of the circle.
Write the standard equation of the circle.
Graph the circle.
Check the picture below.
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{1}{ h},\stackrel{4}{ k})\qquad \qquad radius=\stackrel{2}{ r} \\\\[-0.35em] ~\dotfill\\\\ (x-1)^2~~ + ~~(y-4)^2~~ = ~~2^2\implies (x-1)^2~~ + ~~(y-4)^2~~ = ~~4[/tex]
A jeepney has an original speed of 30 m/s and a final speed of 40 m/s. Compute its
acceleration if the time of travel is 10 seconds.
Answer:
1 m/s/s.
Step-by-step explanation:
Acccelaration = rate of change of speed
= (40 - 30) /10
= 10/10
= 1 m/s/s.
(x+2)(x+7) Write in simplified form
Answer:
x^2+9x+14
Step-by-step explanation:
x×(x+7)+2×(x+7)
x^2+7x+2x +14
x^2+9x+14
Natalie surveyed 800 of the students in her school about their favorite color. Students could choose between blue and red. 77% said their favorite color was red. How many students' favorite color was blue?
The number of students whose favorite color was blue is 184.
WE are Given that the number of students surveyed by Natalie is 800 and that 77% of them chose red as their favorite color.
We can determine the number of students who chose blue by Finding the percentage of students who chose blue and then converting it to the actual number of students who chose blue.
Consider x be the number of students who chose blue as their favorite color.
Therefore, the number of students who chose red is;
77% of 800
= 77/100 × 800
= 616
To find the number of students who chose blue, we need to subtract the number of students who chose red from the total number of students surveyed.
Therefore:
x = Total number of students surveyed - Number of students who chose red
x = 800 - 616
x = 184
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The area of the triangle is 22.4 cm2. Calculate the length, b, of the longest side of the triangle. 97° 3.7 cm a b
Answer:
Step-by-step explanation:
27x+9y+3 name the coefficients
HIRRY AND HELP
Answer: 27 and 9
Step-by-step explanation:
Coefficients are the numbers in front of variables. Since the variables are x and y, then the coefficients are 27 and 9.
Hello!
Please remember that
A coefficient is a number before a variable.What is a variable?
A variable is a letter (like x)So a coefficient is basically a number before a letter (like 27x)
Hence, the coefficients are
[tex]\boxed{\boxed{\bold{27~and~9}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
on a coordinate plane, the endpoints of line segment JL are
J(-6,-4) and L(6,8). Point K lies on line segment JL and divides it into two
line segments such that the ratio of JK to KL is 5:1. What are the
coordinates of point K?*
Answer: (4,6)
Step-by-step explanation:
We are splitting the line segment into 6 parts, so we can start by finding the displacement in the x and y coordinates.
The change in x is 12, and the change in y is 12.
This means that for each of the 6 parts we are splitting the segment into, the value of x will change by 2, and so will y.
This means that to find K, we can subtract one of these displacements from point L.
This means that K has coordinates (6-2, 8-2)=(4,6)
this is the second part of my homework
pls help me if u can :)
Answer:
no 4. radius is x
no 5. radius is a
no 6. radius is y
Step-by-step explanation:
have no idea about tangents
Solution 4 :-
⠀
Tangent = RYPoint of tangency = RRadius = XT⠀
Solution 5 :-
⠀
Radius = TD or DAInscribed Angle = ∠RQSDiameter = AT⠀
Solution 6 :-
⠀
Radius = YSSecant = TUTangent = ST⠀
★ Important terms to keep in mind :-
⠀
✰ Tangent : Tangent is a line segment which touches the circle, exactly at one point. It is perpendicular to the radius.
⠀
✰ Point of tangency : The point where the tangent and the circle meet, is known as point of tangency.
⠀
✰ Radius : The line segment joining the centre and the end point of the circle is known as radius. It is half the value of diameter of the same circle.
⠀
✰ Diameter : The line segment joining the end points of a circle is known as diameter. It is double the radius.
⠀
✰ Inscribed angle : The angle made by two chords in the interior of the circle, touching any point of the circle is known as inscribed angle.
⠀
✰ Secant : A line segment joining exactly two points of a circle is known as secant.
⠀
✰ Note : If you're acquainted with these terms, you'd be able to tackle such questions easily.
⠀
[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]
what is the first step of the following division problem?
option A
hope it's correct and really helps...!!!
Answer: the answer is A i got 100% on my
test
Step-by-step explanation:
order from least to greatest 4/5 9/10 1/3 7/8 i need hep fast
Answer:
Answer: 1/3, 4/5, 7/8, 9/10
Step-by-step explanation:
4/5 9/10 1/3 7/8
240
5*48=240 4*48=192 192/240
10*24=240 9*24=216 216/240
3*80=240 1*80=80 80/240
8*30=240 7*30=210 210/240
Answer:
option 1 (the basic)
Convert it into a common factor.
So everything in the denominator has to have a common multiple then we can compare from there.
You can either find every multiple here and then see which ones the same or multiply them all (not recommended)
so 120 is the common factor here.
I got this because I know 10 and 5 are basically the same. Since they almost all end with 0s. I know it has to be a number that ends with 0.
8 here is the one I calculated.
My process:
8*5 = 40
40 doesnt go to 3
8*10 = 80
80 doesn’t go to 3
8*15 = 120
120 goes to 3 (Becuase if you add up the numbers 1 + 2 + 0, you’d get 3 which is divisible by 3)
So 120 is the denominator.
Now we divide each to find the numerator now.
120/5 = 24
So we multiplieds 24 by 5 to get 120.
Thats the bottom, whatever we do on the bottom we do to the top.
So 4 * 24 is 96
96/120
Now lets fast forward
In the end you’d end up with in the order we began with
96/120 …(4/5)
108/ 120 …(9/10)
40/120 …(1/3)
105/120 …(7/8)
Now we put them in order from least to greatest in this case.
40/120 …(1/3)
96/120 …(4/5)
105/120 …(7/8)
108/120 …(9/10)
Your order would be
1/3
4/5
7/8
9/10
Option 2 (the decimal)
SO in this case you jsut convert them into a decimal then compare
This is relatively easier since its jsut basic division with decimal.
You do numerator divide by denominator.
4 ÷ 5 = 0.8
9 ÷ 10 = 0.9
1 ÷ 3 = 0.3333333…
7 ÷ 8 = 0.875
Now you just put them in order
0.2, 0.333…, 0.875, 0.9
Same order as before
1/3, 4/5, 7/8, 9/10