Answer:
43173
Step-by-step explanation:
24000(1.0875)^7 = 43173.39
the price of a mountain bike ids decreased from 150$ to 120$. by what percent is trhe price decreased
Answer: Answer below
Step-by-step explanation:
We start off by subtracting 120 from 150, since we want to find the amount it decreased and not what percentage is left.
150 - 120 = 30
We now divide it by 150 to get our percentage.
30/150 = 1/5
1/5 = 0.2 or 20%
Our answer is 20%.
Suppose you drop a ball from a height of 10 feet. After the ball hits the floor, it rebounds to a height defined by the recursive formula an = 0. 85an – 1. What is a1? feet What is the height the ball rebounds to after its third bounce? Round your answer to three decimal places. Feet.
The height the ball rebounds to after its third bounce with the initial height by 10 feet is 6.141 feet.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
Suppose you drop a ball from a height of 10 feet. After the ball hits the floor, it rebounds to a height defined by the recursive formula
[tex]\rm a_n = 0. 85\ a_{n - 1}[/tex]
a₀ = 10 feet
For n = 1, the height will be
[tex]\rm a_1 = 0. 85\ a_{0}\\\\a_1 = 0.85*10\\\\a_1 = 8.5[/tex]
For n = 2, the height will be
[tex]\rm a_2 = 0. 85\ a_{1}\\\\a_2 = 0.85*8.5\\\\a_2 = 7.225[/tex]
For n = 3, the height will be
[tex]\rm a_3 = 0. 85\ a_{0}\\\\a_3 = 0.85*7.225\\\\a_3 = 6.14125 \approx 6.141[/tex]
More about the Algebra link is given below.
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Answer:
First one is 10
The next is 6.141
Step-by-step explanation:
edg answer
What are the coordinates of the focus of the parabola? (0,2) (0,–2) (2,0) (–2,0)
The focus of the parabola is at the point (0, 2).
What is the focus of the parabola?A parabola's focus can be found on the side of the concavity, at the same distance from the vertex as from the directrix, and at the same distance from the vertex to the parabola's centre of gravity.
This is actually a great geometrical characteristic of the parabola and the way it may be built using its definition. all those lane sites whose distance from the directrix to the focus is equal.
Then, the focus must be at a distance of two units from the vertex, (0,0), in line with the parabola's axis of symmetry (x=0), and on the positive side of the y-axis (notice the directrix is on the negative side of the y-axis.
So, the focus of this parabola at the point (0, 2).
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(PLEASE HELP!!)
Shayley wants to buy 20 bottles of water for her trip to the Grand Canyon. A pack of 45 water bottles costs $19.99, but one water bottle is priced at $1.50. Would it be cheaper for Shayley to buy the pack or the water bottles individually?
Answer:
it would be cheaper to buy a pack of 45.
Step-by-step explanation:
Shayley would spend $30 on 20 single bottles because 1.50 times 20 = 30
John gave half of his stamps to Jim. Jim gave half of his stamps to Carla. Carla gave 1/4 of the stamps given to her to Thomas and kept the remaining 12. How many stamps did John start with?
Answer: 64 stamps
Step-by-step explanation:
Let the number of stamps John started with be J.
After giving half to Jim, he would have J/2 left.
After giving half to Carla he would have J/4 left and Carla would also have J/4.
After Carla gave 1/4 to Thomas, she would keep (3/4)*(J/4) = 3J/16 stamps. We are given that this equals 12.
Therefore, 3J/16 = 12
Multiply both sides by 16:
3J = 192
Divide both sides by 3:
J = 64
What expression represents the width of the rectangle
We are given a rectangle with one of its sides ( length ) equal to ( x - 7 ) Meters.
Also we are given the area of the rectangle as x² - 15x + 56 square meters .We have to find the expression for another side of the rectangle i.e it's width
We will use the formula of area of rectangle to find the expression :
Area = length × widthTherefore,
ㅤㅤ➝ A = l × w
ㅤㅤ➝ x² - 15x + 56 = ( x - 7 ) × w
ㅤㅤ➝ x² - 8x -7x + 56 = ( x - 7 ) × w
ㅤㅤ➝ (x² - 8x )( - 7x + 56 ) = ( x-7 ) w
ㅤㅤ➝ x( x - 8 )-7( x - 8 ) = ( x - 7 )w
ㅤㅤ➝ ( x - 8 )( x - 7 ) = ( x - 7 )
ㅤㅤ➝ ( x - 8 )w = ( x - 8 )( x - 7 )
ㅤㅤ➝ w = ( x - 8 )( x - 7 ) / ( x - 7 )
ㅤㅤ➝ w = ( x - 8 )
Can someone help me with this question? I’ll mark you brainliest if you answer!!!
A. Translation
This type of translation is defined as moving the object in space by keeping its size, shape or orientation constant. In a translation, each point of the shape must be moved in the same direction and for the same distance. When you are doing a translation, the primary object is called the pre-image, and the object after the translation is called the image.
B. Rotation
This type of transformation has an object about a fixed point without changing its size or shape.
C. Reflection
A reflection is a transformation that reflects each point in the preimage across a line of reflection. It is a rigid motion so it preserves length and angle measure
A perpendicular bisector is a line (ray, segment) which cuts a line segment into two equal parts at90° angle
D. A transformation is a change in the position or size of an object Movements that do not change the size or shape of the object moved are called “rigid transformations” There are three types of rigid transformations: Translations, Reflections, and Rotations. These are more commonly referred to as Slides, Flips, and Turns.
if i have 10,000 and spent some and only have 1567 left how much did i spent
Answer:
8433
Step-by-step explanation:
let x = money spent
1567 + x = 10 000
x = 10 000 - 1567
x = 8433
Paige had $80 to spend on clothes she bought two pair of pants that each cost $20 and one shirt that cost $15 which expression can be used to find how much money Paige had left after shopping 
Answer:
B 80-(2x23+15)
Step-by-step explanation:
first i did 80-46-15=19
so after shopping page had $19 dollars after shopping
what is the difference between (1,2) and (-3,5)
Answer:
the difference is (1,2) is in quadrant first and (-3,5) is in quadrant second
Select all of the equations that are true.
A.2/4=4/8
B..3/5=15/30
C.2/3=2/5
D.8/5=16/15
E.1/3=3/9
help me ASAP
Answer:
A.2/4=4/8 and E.1/3=3/9
Step-by-step explanation:
A is right because 4/2=2 and 8/4=2.E is right because 1*3=3 and 3*3=9.
A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 180 kilometers?
Answer:
4.5 gallons
Step-by-step explanation:
180/40=4.5
Find the volume for the regular pyramid.
V=
Answer:
Step-by-step explanation:
First is to find area of base triangle:
It is an equilateral triangle with one side at 4
Height is given by 4*sin60degree = 2*sqrt(3)
Area = 1/2 * side * height
= 1/2*2*sqrt(3)*4
= 4*sqrt(3)
Height of pyramid is at centroid of the base equilateral triangle
Length of angle bisector of the base equilateral triangle
= sqrt(4^2 - 2^2)
= sqrt(16-4)
= sqrt(12)
Centroid is at sqrt(12)/3 from the nearest side.
Consider right-angle triangle formed by top of pyramid and centroid:
Height^2 + (sqrt(12)/3)^2 = 4^2 - 2^2
Height^2 = 16 - 12 - 12/9 = 24/9
Height = (2/3)*sqrt(6)
Volume of pyramid = 1/3*base area*height
= 1/3*4*sqrt(3)*(2/3)*sqrt(6)
= (8/3)*sqrt(2)
= 3.77
Rory is driving 584 miles to a family reunion she will drive half of the distance by herself the first day the second day Rory and her cousin will share the driving equally how many miles will her cousin drive?
Answer:
Her cousin will drive 142 miles
PLEASE HELP ASAP:((! For a given function ƒ(x), the operation 1∕2ƒ(x) will______? Question options:
A) stretch the graph vertically by a factor of 2.
B) stretch the graph horizontally by a factor of 2.
C) shrink the graph horizontally by a factor of 1∕2.
D) shrink the graph vertically by a factor of 1∕2.
Answer:
D
Step-by-step explanation:
Shrink the graph vertically by a factor of 1/2 :)
I got it right of the test
If jay ran 1 mile in 6 minutes on monday, 2 miles in 12 minutes on tuesday, and 3 miles in 18 minutes on wednesday, how many miles do you think he might run in 24 minutes on thurdsay?
please answer quick
Answer:
4 miles
Step-by-step explanation:
24/6=4 He ran one miles every six minutes
Bob and Alice each have a bag that contains one ball of each of the colors blue, green, orange, red, and violet. Alice randomly selects one ball from her bag and puts it into Bob's bag. Bob then randomly selects one ball from his bag and puts it into Alice's bag. What is the probability that after this process the contents of the two bags are the same
Answer:
1/3
Step-by-step explanation:
Alice can select any ball from her bag and it goes into Bob's bag. Then bob has 6 balls including two of one color.
Suppose they are {A,B,B,C,D,E}
Now Bob must draw one of the two balls of the same color (B) in order to have the same content of the two bags.
P(bags same content)= 2/6= 1/3
The probability that the bags content are the same= 1/3
Short Answer
1. A classroom contains 18 girls and 24 boys. Write the ratio of girls to boys in the classroom as
a fraction in lowest terms.
Solve the proportion. Check your solution.
18 : 24
6 : 8
3 : 4
3 boys to 4 girls is the answer
9 + 4 to the third power x (20-8) / 2 + 6
1110.5 is the answer and your welcome
Henry deposited $250 into a savings account that earns 1.9% simple interest. How much will his account be worth at the end of 10 years?
Answer:
$297.5
Step-by-step explanation:
I = Prt/100
I = Interest
P = Amount deposited initially
r = Rate
t = number of years
I = Prt/100
= 250 × 1.9 × 10 / 100
= 25 × 1.9
= 47.5
That is the interest
The total amount in his account will be Initial amount + interest
250 + 47.5
= $297.5
The SUM of £1640 is invested in a banck the rate of intrest is 4. 5% annum. Claculate the simple intrest gained in 9 months
keeping in mind that a year has 12 months, thus 9 months are really 9/12 of a year, so
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \pounds 1640\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ t=years\to \frac{9}{12}\dotfill &\frac{3}{4} \end{cases} \\\\\\ I = (1640)(0.045)(\frac{3}{4})\implies I=55.35[/tex]
Alex wants to pay off his credit card balance before he gets married. he decides to take the $2,300 out of his savings and apply it to his credit card debt of $5,390. the credit card has an apr of 16.5%. what will alex's minimum monthly credit card payment be in order to pay off his debt in 14 months? a. $109.40 b. $190.83 c. $244.15 d. $572.32
Answer:
I think C!
Step-by-step explanation:
I just took the test.
Alex's minimum monthly credit card payment will be $244.15.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Firstly calculate the remaining credit card balance after Alex applies his savings:
$5,390 - $2,300 = $3,090.
Calculate the monthly interest rate on the credit card: 16.5% / 12 = 0.01375.
Use the formula P = i / (1 - (1+r)⁻ⁿ) to calculate the minimum monthly payment.
i = the remaining balance = $3,090
r = the monthly interest rate = 0.01375
n = the number of months to pay off the balance = 14
Plugging in the values, we get:
P = 3090×(0.01375)/(1-(1+0.01375)⁻¹⁴)
= $244.15
Therefore, Alex's minimum monthly credit card payment will be $244.15.
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Two times the sum of a number and four increased by three is at most six less than the number. Evaluate this problem situation for values of the number
Answer:
x=2
Step-by-step explanation:
interpreting the problem...
2x+5×3›6-x
2x+12›6-x
2x+x›6-12
3x›6
x›2
you can confirm if this is really the correct solution to the problem
how do i do thissss..
4(5x3) + 2(4x3) = 60 + 24 = 84 square units
Tanxcosx/ sinx =1
I need help to prove this trig function with steps.
Step-by-step explanation:
answer is provided in picture
A semicircle has a diameter of 40 inches. What is its area in square inches to the nearest hundredth?
Answer:The area of semicircle is 628cm².Oct
Step-by-step explanation:
AREA=1/2 *πr² = 1/2 *3.14 * 20*20 = 314/100*10*20 = 314/100*200 =314*2 =628 cm²
Answer: The area of a square painting is 600 square inches.
Step-by-step explanation: Finding the length of all the sides of the square painting.
right circular cylinder has a radius of 5 cm and a height of 10 cm. What is the volume of this cylinder in terms of? (Pls help)
Answer:
250 pi
Step-by-step explanation:
volume = 5^2 x pi x 10 = 250 pi
solve the equation 9r^2=108r
Answer:
r = 0, r = 12
Step-by-step explanation:
9[tex]r^{2}[/tex]=108r
Subtract 108r from both sides
9[tex]r^{2}[/tex] - 108r = 108r - 108r (simplify) -> 9[tex]r^{2}[/tex] - 108r = 0
Factor 9[tex]r^{2}[/tex] - 108r: 9[tex]r^{2}[/tex] (r - 12)
9[tex]r^{2}[/tex] (r - 12) = 0
r = 0, r = 12
To solve the equation below by completing the square, what is your first step?
3x2 + 18x = 21
Add 9 to each side of the equation.
Divide both sides of the equation by 3
Multiply both sides of the equation by 3
Add 81 to each side of the equation.
Step-by-step explanation:
well, for that I want the equation as simple a possible. especially do I want to have a pure "x²" term with "1" as the factor.
so, as I see that all terms in the equation are multiples of 3, my first step will be to divide both sides by 3.
leading to
x² + 6x = 7
Answer:
Answer:
The first step to solve the equation by completing the square 3x²+ 18x= 21 is multiply both sides of the equation by .
The factors of the equations 3x²+ 18x= 21 are 1 ,-7 .
Step-by-step explanation:
As given the equations
3x² + 18x = 21
Multiply both sides of the equation by .
Thus the equation becomes
Simplify the above
x² + 6x = 7
Adding 9 on both sides of the above equation
x² + 6x + 9 = 7 + 9
x² + 6x + 9 = 16
(As (a +b)² = a² + b² + 2ab
Thus (x+3)² = x² + 6x + 9 )
Put in the above
(x+3)² = 16
Taking square root on both side
√16 = ± 4
First take
(x + 3) = 4
x = 4 -3
x = 1
Second take
(x+ 3) = -4
x = - 4 -3
x = -7
Therefore the first step to solve the equation by completing the square 3x²+ 18x= 21 is multiply both sides of the equation by .
The factors of the equations 3x²+ 18x= 21 are 1 ,-7 .
∠A and ∠B are complimentary. The measure of ∠A is 42 more than 3 times the measure of ∠B. Find ∠A
Answer:
78 Degrees
Step-by-step explanation:
Complimentary Angles add up to 90 degrees so the equation below solves for x and then finds angle A.
3x+42+x=90
4x=48
x=12
3(12)+42=78