Answer:
108.90
Step-by-step explanation:
You start with finding
10
%
of
90
.
$
90
⋅
.1
=
$
9
You add the money and the interest to get
$
99
for the first year. However, the next year is different. It's compound interest, so you have to multiply
10
%
by
$
99
.
$
99
⋅
.1
=
$
9.90
$
99
+
$ 9.90
= $ 108.90 The total would then be $
108.90 i think lol
Find the 14th term of the geometric sequence 10, 20, 40, ...
The 14th term of the geometric sequence 10, 20, 40, ... is 81920.
What is geometric sequence?"A geometric sequence is a special type of sequence. It is a sequence in which every term (except the first term) is multiplied by a constant number to get its next term."
The geometric sequence formulas include the formulas for finding its nth term and the sum of its n terms. We will see the geometric sequence formulas related to a geometric sequence with its first term 'a' and common ratio 'r' (i.e., the geometric sequence is of form [tex]a, ar, ar^{2},ar^{3} ,.............[/tex]). Here are the geometric sequence formulas.
[tex]a_{n}=ar^{n-1}[/tex]
Given geometric sequence
10, 20, 40, .........
From the given sequence
[tex]a_{1} = 10[/tex], [tex]a_{2} = 20[/tex], [tex]a_{3} = 40[/tex]
Using the formula [tex]a_{n}=ar^{n-1}[/tex]
⇒ [tex]a_{4} = 10(2)^{3} =80[/tex]
⇒ [tex]a_{5} = 10(2)^{4} =160[/tex]
⇒ [tex]a_{6} = 10(2)^{5} =320[/tex]
⇒ [tex]a_{7} = 10(2)^{6} =640[/tex]
⇒ [tex]a_{8} = 10(2)^{7} =1280[/tex]
⇒ [tex]a_{9} = 10(2)^{8} =2560[/tex]
.
.
.
⇒ [tex]a_{14} = 10(2)^{13} =81920[/tex]
Hence, the 14th term of the geometric sequence 10, 20, 40, ... is 81920.
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Which pair of expressions is equivalent using the Associative Property of Multiplication?
A6(4a ⋅ 2) = 24a ⋅ 12
B 6(4a ⋅ 2) = (4a ⋅ 2) ⋅ 6
C6(4a ⋅ 2) = 6 ⋅ 4a ⋅ 2
D6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2
Answer:
Step-by-step explanation:
In the associative property of multiplication, the product of the multiplication of 3 or more numbers is the same irrespective of how they are grouped. This means that irrespective of the bracket or which number comes first, the product will always be the same.
From the given scenarios, the pair of expressions that are equivalent using the Associative Property of Multiplication are
B 6(4a ⋅ 2) = (4a ⋅ 2) ⋅ 6
C 6(4a ⋅ 2) = 6 ⋅ 4a ⋅ 2
D6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2
The results are the same irrespective of the arrangement of the numbers.
Does the table represent a function? why or why not? HELP WANTEDD
Answer:
C no, because one x value corresponds to two different y values
Step-by-step explanation:
The x value of 3 goes to two different y values
This means this cannot be a function
This is not a one to one correspondence
Answer: C
Step-by-step explanation: In order for a table to represent a function each x-value needs to correspond to exactly 1 y-value.
Notice that in the table, the 3 appears twice and it corresponds to a 5 in one case and it corresponds to a 6 in another case.
Since the x-value of 3 corresponds to more than 1 y-value,
no, this table does not represent a function.
Find the of this circle in terms of pi
Answer: π / 4
Step-by-step explanation:
Area of a circle = π x r^2
= π x 0.5^2
= π / 4
Answer:
A = 0.25 π m²
Step-by-step explanation:
Area = [tex]\pi r^2[/tex]
Where r = 0.5 m
A = (0.5)^2 × π
A = 0.25 π m²
Which point is located at (–1, 3)? On a coordinate plane, point A is 1 unit to the right and 3 units down. Point B is 3 units to the left and 1 unit up. Point C is 1 unit to the left and 3 units up. Point D is 3 units to the right and 1 unit down. A B C D
Answer:
Point C.
Step-by-step explanation:
When the x-value is negative, the point is moving left. In this case, the point is moving left 1.
When the y-value is positive, the point is moving up. In this case, the point is moving up 3.
Only Point C fits the description.
Answer:
point c
Step-by-step explanation:
hope i helped c:
Use the equation Y = {/27x-54 +5.
Which is an equivalent equation of the form
y=avx-h+k
y=-273x + 2+5
y=-3x+2 +5
y=34x-2 +5
y=273/x-2 +5
Answer:
y= 34x- 2 +5 (C)
Step-by-step explanation:
The equation: y = 27x-54 +5
We are to determine an equivalent equation of the form y=avx -h+k from the options given.
From the above, av = two digit coefficient of x. Hence av is constant.
h and k are also constant.
Let's check out the option to find the equation that is in the form y=avx-h+k
a) y=-273x + 2+5
In this equation, the coefficient of x is a 3-digit number. The option is wrong.
b) y=-3x+2 +5
In this equation, the coefficient of x is a 1-digit number. The option is wrong.
c) y=34x -2 +5
In this equation, the coefficient of x is a 2-digit number.
av = 34, h= 2 and k = 5
This equation is in the form of y=avx -h+k
The option is correct.
d) y=273/x-2 +5
This equation is not in the form of y=avx -h+k
The option is wrong.
Answer:
c is correct for the first one
horizontal: 2 units right
vertical: 5 units up
stretch/compression: stretched by a factor of 3
reflection: not reflected
Step-by-step explanation:
leave a heart pls :)
please answer
topic: perimeter and area volume
(image will be inserted)
it's question 3 in the image
question is: how much do the sides measure?
Answer:
I think the
Step-by-step explanation:
answer is C . let me know
PLS ANSWER FOR BRANINETEST
Answer:
3(3/7)
Step-by-step explanation:
Just by doing the math.
What is the rate of change for the function in the table?
Answer:
$2 per song
Step-by-step explanation:
When you buy 2 songs, you pay $4.
$4 ÷ 2 = $2
Answer:
$2 per song
Step-by-step explanation:
rate of change for the function=cost/no. of song
=y/x
=2
A car used 1
64 of a gallon of gas to drive 1
4 of a mile. At this rate, how many miles
can the car travel using 1 gallon of gas?
Answer:
64 gallon = 4 miles
1 gallon = 4/64
= 0.0625 miles
I NEED HELP PLEASE, THANKS! :)
Answer: b) increasing for x < -4/3 and x > 4/3
decreasing for -4/3 < x < 4/3
Step-by-step explanation:
Graph the equation and the follow the curve from left to right. When you are going up, it is increasing. When you are going down, it is decreasing.
see the image below. Red is increasing. Blue is decreasing.
The vertices occur when x = -4/3 and x = 4/3
2. Simplify 14 to the 15th power over 14 to the 5th power . 1) 13 2) 110 3) 143 4) 1410
Answer:
[tex]14^{14}[/tex] or 11112006825558016
Step-by-step explanation:
[tex]\frac{14^{15}}{14}[/tex] is the same thing as [tex]\frac{14^{15}}{14^{1}}[/tex].
When we divide 2 exponents together, we subtract:
15 - 1 = 14
[tex]14^{14}[/tex] or 11112006825558016 is your answer.
write 1 and 1/3 as an improper fraction
Answer:
4/3
Step-by-step explanation:
to change a mixed number to an improper fraction, you have to multiply the denominator by the whole number and add the numerator to the product. This is your numerator. The denominator stays the same.
Thus,
Numerator = 3 x 1 +1 = 4
Denominator = 3
Fraction = 4/3
Hope this helps.
The improper fraction of 1(1/3) is 4/3.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
1 and 1/3
An improper fraction means the numerator is greater than the denominator.
So,
1 and 1/3
= 1(1/3)
= (3 x 1 + 1) / 3
= 4/3
4 > 3 so it is an improper fraction.
Thus,
The improper fraction of 1(1/3) is 4/3.
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Find the Volume of the composite space figure to the nearest whole number.
Answer:
90
Step-by-step explanation:
We need to split this into two shapes are solve one first. In this example I will solve the rectangle on the left first.
V=LWH
V=2(6)(4)
V=48
2nd rectangle
V=LWH
V=1.5(4)(7)
V=42
Add those together
V=48+42
V=90
Answer:
43.2
Step-by-step explanation:
WILL GIVE BRAINLIEST AND 20 POINTS IF ANSWERED FULLY AND CORRECTLY. Two bikers meet at a park. Biker A needs to stop at the store that is 12 miles east of the park. Biker B heads southeast at a 61° angle at the same time for 24 miles. Once biker A leaves the store he heads southwest at an angle of 89° for 21 miles. Do NOT use the law of cosines, use your knowledge from the content of this course(geometry). a. Use your knowledge of triangles to figure out if the two bikers will be able to meet up if each biker travels the distance given. b. If they do not meet up, how much farther would one of the bikers have to travel to meet the other? c. What is the measure of the angle between the bikers? d. What is the relationship between the measure of the angles and the paths the bikers took? e. Classify the triangle the paths created. f. How many miles did they travel together?
Answer:
See below
Step-by-step explanation:
See attached for reference
The path has been created by bikers is almost a right triangle with sides of 12, 21 and 24 miles and angles of 61, 89 and 30 deg
a) Biker A travels a straight line (hypotenuse of triangle)
It is likely the bikers meet at the bottom point of the triangle
They make almost same displacement from the start point:
24 miles ≈ √12²+21² miles
b) they meet each other
c) 30 deg
d) e) as per picture attached, it is almost right triangle
f) Together they traveled 12+21+24= 57 miles
Problem 10.084 An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279), considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 14 of 17 repairs were successful while for shorter tears, 22 of 31 repairs were successful. (a) Is there evidence that the success rate is greater for longer tears? Use alpha equals 0.05 . What is the Upper P -value?
Answer:
The p-value = 0.181186
The p-value is greater than the significance level at which the test was performed, hence, we fail to reject the null hypothesis & say that there isn't enough evidence to suggest that the success rate of repair of longer tears is greater than the success rate of repair of shorter tears.
Step-by-step explanation:
This is a two-sample hypothesis test as we want to test the whether the success rate for one group of tears is more than the other
For hypothesis testing, the first thing to define is the null and alternative hypothesis.
In hypothesis testing, especially one comparing two sets of data, the null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test. It usually maintains that, with random chance responsible for the outcome or results of any experimental study/hypothesis testing, its statement is true.
The alternative hypothesis usually confirms the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test. It usually maintains that significant factors other than random chance, affect the outcome or results of the experimental study/hypothesis testing and result in its own statement.
For this question where we are testing if the success rate of longer tears is greater than the success rate of shorter tears,
The null hypothesis is that there is no significant difference in the success rate for the two types of tears. That is, there isn't enough evidence to suggest that the success rate of longer tears is greater than the success rate of shorter tears.
The alternative hypothesis is that there is enough evidence to suggest that the success rate of longer tears is greater than the success rate of shorter tears.
Mathematically, if the success rate of longer tears is p₁, success rate of repair of shorter tears is p₂. And the difference between the two success rates is μ = p₁ - p₂,
The null hypothesis is represented as
H₀: μ = 0 or p₁ = p₂
The alternative hypothesis is represented as
Hₐ: μ > 0 or p₁ > p₂
We then calculate the test statistic
The test statistic for two samples test is given as
t = (p₁ - p₂)/σ
σ = √{[p₁(1-p₁)/n₁] + [p₂(1-p₂)/n₂]}
p₁ = success rate of repair of longer tears = (14/17) = 0.8235
n₁ = 17
p₂ = success rate of repair of shorter tears = (22/31) = 0.7097
n₂ = 31
σ =
√{[0.8235(1-0.8235)/17] + [0.7097(1-0.7097)/31]}
σ = √[(0.8235×0.1765/17) + (0.7097×0.2903/31)]
= √(0.0085498676 + 0.0066459971)
= √0.0151958647 = 0.1232715081 = 0.1233
t = (p₁ - p₂)/σ
t = (0.8235 - 0.7097)/0.1233
t = 0.92
checking the tables for the p-value of this t-statistic
Degree of freedom = df = n₁ + n₂ - 2 = 17 + 31 - 2 = 46
Significance level = 0.05
The hypothesis test uses a one-tailed condition because we're testing only in one direction.
p-value (for t = 0.92, at 0.05 significance level, df = 46, with a one tailed condition) = 0.181186
The interpretation of p-values is that
When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.
So, for this question, significance level = 0.05
p-value = 0.181186
0.181186 > 0.05
Hence,
p-value > significance level
This means that we fail to reject the null hypothesis & say that there isn't enough evidence to suggest that the success rate of repair of longer tears is greater than the success rate of repair of shorter tears.
Hope this Helps!!!
Kelly and Greta are asked to write an equation for the scenario below. "One person was able to plant 4 trees in the same amount of time that 5 people working together were able to plant 20 trees." The girls agree that x represents the number of people working and y represents the number of trees planted. Kelly wrote the equation y = one-fourth x, and Greta wrote the equation y = 4 x. Which person is correct, and why?
Answer:
Greta is correct. The answer is y = 4x
Step-by-step explanation:
This is because one person is able to plant four trees and five people are able to plant 20 in the same amount of time which means 4 trees is to 1 person. In other words if you substitute the values into the equation you will see that x = 1 in the first scenario and x = 5 in second scenario.I will work out the second scenario below.
y = 4x (where y = 20)
20 = 4(x)
[tex]\frac{20}{4} = \frac{4x}{4}[/tex]
5 = x
OR
y = 4x (where x = 5)
y = 4 * 5
y = 20
The equation which represents the number of trees planted y for the x number of people will be y = 4x thus Greta will be right.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
An equation is a set of variables that are constrained through a situation or case.
As per the given,
1 person plants 4 trees.
x = 1 and y = 4
y/x = 4
5 people plant 20 trees
x = 5 and y = 20
y/x = 20/5 = 4
y = 4x
Thus, y = 4x will be correct.
Hence "The equation which represents the number of trees planted y for the x number of people will be y = 4x thus Greta will be right".
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The sequence -11, -5, 1...... is an arithmetic
progression. State the three consecutive terms of
this arithmetic progression where the sum of
these three terms is 93.
Answer:
25, 31, 37
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10
-11 -5 1 7 13 19 25 31 37 43
6 6 6 6 6 6 6 6 6
25 + 31 + 37 = 93
Sylvie finds the solution to the system of equations by graphing.
y =2/3x + 1 and y = -2/3x-1. Which graph shows the solution to Sylvie's system of equations?
Answer:
The third graph is your answer.
Step-by-step explanation:
I included a graph below with the correct graphing.
The measurement of the supplement of an angle is 39 more than half the angle. find the measure of the angle and its complement
Answer: 94, 86
Step-by-step explanation:
x + x/2 + 39 = 180
x + x/2 = 180 - 39
x = 94
Other angle is 180 - 94 = 86
I will give you brainliest!!!!! Use the elimination method to solve the system of equations 3x-y=8 3x+3y=12
Answer:
x=3
y=1
(3,1)
Step-by-step explanation:
Answer: c. (3, 1)
Step-by-step explanation:
(3x - y = 8) + (3x + 3y = 12) = 6x + 2y = 20
Divide by 2
3x + y = 10
Plug in 3 for x
3(3) + y = 10
9 + y = 10
10 - 9 = 1
y = 1
Here is the photo if you can see it, but what is the equation and if anyone answers , whats the value of A?
Answer:
35-17
Step-by-step explanation:
Answer: A + 17 = 35
Step-by-step explanation:
Because both sections are equal to the same amount as 35.
The rectangle for "a" plus the rectangle for 17 put together equal the same rectangle size as 35.
The figure shows the dimensions of a wall having a door and window of a room. Write an algebraic expression for the area of the wall to be painted. PLEASE FAST
Answer:
Area of the wall to be painted = (11x² + 12x) square units
Step-by-step explanation:
The figure that should be attached to this question is missing. The figure was obtained and is attached to this solution provided.
From the image attached, it is given that the dimension of the rectangular wall to be painted is (4x+3) by (4x), the dimensions of the window is (2x) by (x) and the dimensions of the door is (x) by (3x).
Since, the window space and the door space cannot be painted along with the wall, the Area of the rectangular wall that will be painted will be given by the expression
(Total Area of the rectangular wall) - [(Area of window space) + (Area of door space)]
Area of a rectangular figure = Length × Breadth
Total area of rectangular wall = (4x+3) × 4x = (16x² + 12x) square units
Area of window space = (2x) × (x) = (2x²) square units
Area of door space = (x) × (3x) = (3x²) square units
Area of the wall to be painted = (16x² + 12x) - (2x² + 3x²)
= 16x² + 12x - 5x²
= (11x² + 12x) square units
Hope this Helps!!!
At a certain high school, 35 students play only stringed instruments, 10 students play only brass instruments, and 5 students play both. There are also 5 students who play neither stringed nor brass instruments. what is the probability that a randomly selected student plays both a string and a brass instrument?
Answer:
0.09
Step-by-step explanation:
Total = 35+5+10+5 = 55
P(string&brass) = 5/55
= 1/11 = 0.09090909
A square forms a semi-regular tessellation with which of the following regular polygons?
A. Trapezoid and hexagon
B. Pentagon and hexagon
C.equilateral triangle and hexagon
D. equilateral triangle and trapezoid
Answer:
a:is the answer good luck men
Answer:
Equilateral Triangle and Hexagon
Step-by-step explanation:
Am Supreme Ruler.
Choose the answer based on the most efficient method as presented in the lesson.
If the first step in the solution of the equation -8 - 7x = -5x - 10 is "add 10," then what should the next step be?
add 7x
add 8
add 5x
Answer:
The answer is add 7x.
Step-by-step explanation:
When the first step is to add 10 to both sides :
[tex] - 8 - 7x = - 5x - 10[/tex]
[tex] - 8 - 7x + 10 = - 5x - 10 + 10[/tex]
[tex] - 7x + 2 = - 5x[/tex]
Next, you have to add 7x to both sides to eliminate -7x on the left side :
[tex] - 7x + 2 = - 5x[/tex]
[tex] - 7x + 2 + 7x = - 5x + 7x[/tex]
[tex]2 = 2x[/tex]
Answer:
add 7x
Step-by-step explanation:
This would be the answer because if you have already added 10 to the right side of the equation and have erased the constant, you would then need to erase the variable on the other side to make it equal. The variable on the other side is 7x, which gives you the answer.
Help please ASAP ill mark u whateve ru want
Hey there! :)
Answer:
x = 65°
Step-by-step explanation:
Find the measure of the other two angles using the Supplementary Angles theorem:
180 - 105 = 75°
180 - 140 = 40°
The sum of all of the angles in a triangle is equal to 180°, therefore:
180 = 75 + 40 + x
180 = 115 + x
65 = x
x = 65°
Answer:
x = 65 is your answer but you should mark the person in front of me brainliest
Step-by-step explanation:
The surface area of a sphere with a diameter of 12 units is:
Answer:
Surface area of sphere = 4πr²
r = radius
radius = diameter /2
= 12/2
= 6units
Surface area = 4π×6²
= 144π
= 452.4 square units
Hope this helps.
which one doesn't belong?
Answer:
The answer is the bottom left because those lines are the only ones which are not parallel.
Answer: Top Right
Step-by-step explanation:
Because all of the lines are are parallel lines that face the right.
Choose the best estimate for the capacity of a soup bowl. A. 50 ml B. 60 ml C. 5 kl D. 0.5 L
Answer:
0.5 L
Step-by-step explanation:
Answer:
C
Step-by-step explanation: