Answer: £ 3675.79
Step-by-step explanation:
A = P(1 + r)^t
A = final amount = x
P = initial principal balance = 3200
r = interest rate = 0.02
t = number of years elapsed = 7
x = 3200(1.02)^7
x = 3200 * 1.14868567
x = 3675.79414
x = 3675.79
Find the x-intercept and y-intercept of the equation: 3x-y = -9
The x-intercept and y-intercept of the equation: 3x - y = -9 is -3 and 9 respectively.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have equation:
3x - y = -9
The above equation represents a linear equation;
The equation can be written as:
y = 3x + 9
To find the x-intercept plug y = 0
x = -3
To find the y-intercept plug x = 0
y = 9
Thus, the x-intercept and y-intercept of the equation: 3x - y = -9 is -3 and 9 respectively.
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PLEASE HELP URGENTLY! RIGHT ANSWERS ONLY!
Answer:
Hi! The answer is B!
I would suggest using a graphing calculator to compare all the lines. You can use this free one called Desmos, sorry i was not able to attach a link :)
A quadrilateral has rotational symmetry of order 2 and no line of symmetry. What is the name of this quadrilateral?
a. square
b. rectangle
c. parallelogram
d. rhombus
Answer:
c
Step-by-step explanation:
paralallegram can be anything with parrell lines
Answer:
C
Step-by-step explanation:
A quadrilateral has rotational symmetry of order 2 and no line of symmetry.
A parallelogram has no lines of symmetry because it is impossible to draw a line through the center of any parallelogram that divides the figure into two equal halves that are mirror images of each other.
did I solve this problem right?
Step-by-step explanation:
¿qué es eso?¿es esto importante? :)
Please help me thanks!
Problem 1
Any pair of equilateral triangles are always similar triangles. We can use the SSS (side side side) similarity theorem to prove this. One triangle is an enlarged copy of the other, or a shrunken reduced copy.
The rectangle is NOT similar to the square. They are different shapes. Similar figures are figures that are the same shape, but different sizes.
==========================================================
Problem 2
horizontal/vertical = horizontal/vertical
24/x = 6/5
24*5 = 6x
120 = 6x
x = 120/6
x = 20
Answer: The flagpole is 20 ft high (about 2 stories tall)
==========================================================
Problem 3
The formula to use is [tex]z = \sqrt{x*y}[/tex]
z = geometric mean of x and y
We multiply the numbers and take the square root. This only works for two values at a time. The geometric mean of three numbers will involve the cube root. Four numbers involves the 4th root, and so on.
Geometric mean of 6 and 10 is sqrt(60) = 7.74597 approximatelyGeometric mean of 2 and 32 is 8 exactlyGeometric mean of 2 and 8 is 4 exactlyGeometric mean of 7 and 9 is sqrt(63) = 7.93725 approximately==========================================================
Problem 4
For each figure, the y is the altitude and can be determined using the geometric mean formula.
Figure on the left: y = sqrt(2*6) = sqrt(12) = 3.4641Figure on the right: y = sqrt(6*14) = sqrt(84) = 9.1652The decimal values are approximate.
==========================================================
Problem 5
For 45-45-90 triangles, we divide the hypotenuse over sqrt(2) to find the leg length.
For the first triangle in the first row, we have y = 18/sqrt(2) = 9*sqrt(2) after rationalizing the denominator. Multiply top and bottom by sqrt(2).
Take this process in reverse to determine the hypotenuse if you know the leg length. This explains why the hypotenuse is 3.2*sqrt(2) for the second triangle in the first row.
-------------------
For 30-60-90 triangles, we go from the short leg x to the hypotenuse 2x.
Double the short leg to get the hypotenuse.
2x = 36
x = 36/2
x = 18
This is for the first triangle in the bottom row.
For the other triangle in this bottom row, we have a long leg of 4*sqrt(3). This must mean the short leg is exactly 4 units long. Therefore, the hypotenuse is 2*4 = 8 units long.
-------------------
Summary:Top row, first column: y = 9*sqrt(2)Top row, second column: y = 3.2*sqrt(2)Bottom row, first column: x = 18Bottom row, second column: y = 8Please solve the question in the picture
Answer:
A. 11"
B. 39"
25 - 15 < x < 25 + 15
10 < x < 40
*x = whole number
Answer:
shortest: 11 incheslongest: 39 inchesStep-by-step explanation:
Given two side lengths for a triangle, the triangle inequality tells you the third side must have a length between the difference and the sum of the given sides.
__
A. minimum lengthThe difference of the given sides 25 and 15 is ...
25 -15 = 10
The smallest integer greater than 10 is 11.
The third side must be at least 11 inches long.
__
B. maximum lengthThe sum of the given sides is ...
25 +15 = 40
The largest integer smaller than 40 is 39.
The third side must be at most 39 inches long.
_____
Additional comment
Formally, the triangle inequality tells you that sides a, b, c must satisfy ...
a +b > c and b +c > a and c +a > b
When we're considering the length of third side (c), there are 3 cases to consider. 1) c is shortest; 2) c is between the other lengths; 3) c is longest. Without loss of generality, we can assume a > b.
1) c is shortest:
a+b>c is always true. b+c>a ⇒ c>a-b (the positive difference)c+a>b ⇒ c>b-a (the negative difference)conclusion: c > a-b
2) a > c > b:
a+b>c is always true. b+c>a ⇒ c>a-b (the positive difference) c+a>b ⇒ c>b-a (the negative difference)conclusion: c > a-b
3) c is longest:
a+b>c (the sum)b+c>a ⇒ c>a-b (the difference will be less than the sum)c+a>b ⇒ c>b-a (the negative difference will be less than the sum)conclusion: a -b < c < a+b . . . . . . for a>b
Geometry triangle question
Answer:
Step-by-step explanation:
Answer:
x = 44 1/3°4x = 177 1/3°2x = 88 2/3°Step-by-step explanation:
The angle sum theorem tells you the sum of angles of a triangle is 180°. Angles of a linear pair are supplementary, so total 180°. These facts can be used to write a relation that can be solved for x.
__
interior anglesThe interior angle at the right end of the line is the supplement of 4x:
180° -4x
The interior angle at the left end of the line is the supplement of 2x:
180° -2x
angle sum86° +(180° -4x) +(180° -2x) = 180°
Then the solution to the triangle is ...
266° = 6x . . . . . . . . . add 6x-180°
x = 266°/6 = 44 1/3° . . . . . divide by 6
exterior angle 4x = 177 1/3°exterior angle 2x = 88 2/3°interior left side angle 180° -88 2/3° = 91 1/3°interior right side angle: 180° -177 1/3° = 2 2/3°can someone help with this please
Answer:
Step-by-step explanation:
Find the mean and median of the data. 31, 14, 18, 26, 17, 32
Answer:
The mean is 23
The median is 22
Step-by-step explanation:
To find the mean you have to do 2 steps:
Step 1: Add up all your numbers:
31 + 14 + 26 + 17 + 32 + 18
= 138
Step 2: Divide you answer by how many numbers there are(6):
138 ÷ 6
= 23
Now to find you median
First put the numbers in order:
14, 17, 18, 26, 31, 32
Now grab the middle number and since there are an even amount of numbers grab the 2 middle numbers:
14, 17, 18, 26, 31, 32
Now add the 2 numbers:
18 + 26
= 44
The last step is to divide your answer by 2:
44 ÷ 2
= 22
2/3 - 5/4 + 7/3 whats the4 answer pls
Answer:
7/4Step-by-step explanation:
2/3 - 5/4 + 7/3
=8/12 - 15/12 + 28/12 (LCM=12)
(8 - 15 + 28)/12
=21/12
=7/4
Using complete sentences, describe how the variable h and the variable k of the general formula for a cube root function effects the graph. The general formula is y=a^3√ x-h+k
Using translation concepts, it is found that the variables h and k affect the graph of the function as follows:
The function is shifted h units to the right.The function is shift k units up.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we consider the parent cube root function as follows:
[tex]y = \sqrt[3]{x}[/tex]
Then, these following changes happened:
x -> x - h, which means that the function was shifted h units to the right.y -> y + k, which means that the function was shifted k units up.More can be learned about translation concepts at https://brainly.com/question/4521517
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question 3 help me please
Answer:
3x+(4x-1)+90°=180°{sum of angles in a triangle}
3x+4x-1+90°=180°
7x+89°=180°
7x=180°-89°
7x=91°
divide both sides by 7
x=13
Answer:
The answer is x=13
explanation/proof why the lines are parallel and insights
Answer:
The lines are parallel is the will never touch.
Step-by-step explanation:
if 7544644555- x is 45000 whats the value of x
Answer:
Step-by-step explanation:
45000+7544644555=x
x=7544689555
Answer:
x = 7544599555
Step-by-step explanation:
First let's make an equation :
7544644555 - x = 45000
Now to make x the subject and positive :
We add x to both sides :
7544644555 = 45000 + x
Now we subtract 45000 from both sides :
7544644555 - 45000 = x
x = 7544599555
Hope this helped and brainliest please
Given that the expression x³_ ax² + bx+c leaves the same remainder when divided by x + 1 or x-2, find 'a' in terms of 'b'.
Answer:
Hi,
a=b+3
Step-by-step explanation:
[tex]\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=-1&&-1&a+1&-a-b-1\\---&---&---&---&---\\&1&-a-1&a+b+1&c-a-b-1\\\end{array}[/tex]
[tex]\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=2&&2&4-2a&2b+8-4a\\---&---&---&---&---\\&1&2-a&b+4-2a&c+2b+8-4a\\\end{array}[/tex]
Thus:
c+2b+8-4a=c-a-b-1
3b-3a=-9
a=b+3
53° 44°
xº
X=
46°
degrees
A. The graph is translated 2units down.
B. The graph is translated 2 units left.
C. The graph is translated 2 units right.
D. The graph is translated 2 units up.
Answer:
c
Step-by-step explanation:
the -2 causes a shift 2 units right
Maurice averaged 79 points for 6 tests. How many more points must he score in the next text to raise his average to 80.
Answer:
86 is the score that Maurice must get to average his score to 80
The starting line for a race in Cass is 2.4 miles from the finish line. On a map of the course,
the starting and finish lines are 6 inches apart. What scale does the map use?
Write your answer in simplest form using whole numbers.
__ inches = __ miles
Answer:
5 in. = 2 mi.
Step-by-step explanation:
2.4mi = 6in
1 mi = 2.5in
2.5 inches = 1mile
Convert to whole #'s as the question asks
5 in. = 2 mi
-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)
Answer:
3 inches = 1 miles
Step-by-step explanation:
The first scale you get is with the information that is given:
6 inches = 2.4 miles
Then you simplify, dividing both sides by 2.4:
2.5 inches = 1 miles
Rounding up: 3 inches = 1 miles
Hope it helps!
HELP ASAP PLEASE (answer all parts please)
The upcoming championship high school football game is a big deal in your little town. The problem is, it is being played in the next biggest town, which is two hours away! To get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. You determine that if more than three students share a ride, on average, you will create the app.
You conduct simple random sampling of 20 students in a school with a population of 300 students to determine how many students are in each ride-share (carpool) on the way to school every day to get a good idea of who would use the app. The following data are collected:
6 5 5 5 3 2 3 6 2 2
5 4 3 3 4 2 5 3 4 5
You will construct a 90% confidence interval and 95% confidence interval for the mean number of students who share a ride to school, then you will compare and interpret the results.
Part A: Decide which partner will construct each confidence interval, and then state the parameter and check the conditions.
Part B: Construct the confidence interval. Be sure to show all your work, including the degrees of freedom, critical value, sample statistics, and an explanation of your process.
Part C: Interpret, share, and compare. Interpret the meaning of the confidence interval, compare your results with your partner, and describe the difference in the width of the interval and the margin of error.
Part D: Use your findings to explain whether you should develop the ride-share app for the football game.
What is Parabola?
What is the transformation of parabolas?
Answer:
What is Parabola:
a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.
What is the transformation of parabolas?
The function y=x2+b has a graph which simply looks like the standard parabola with the vertex shifted b units along the y-axis. Thus the vertex is located at (0,b). If b is positive, then the parabola moves upwards and, if b is negative, it moves downwards. Similarly, we can translate the parabola horizontally
Step-by-step explanation:
What is the equivalent to a dash?
Answer:
a dash is 1/8 tsp.
Step-by-step explanation:
a dash is 1/8 tsp or called 0.13
help me pleaseeeeeeeeeeeeeee
Answer:
C
Step-by-step explanation:
Evaluating the options :
Option A
⇒ 5/2x + 7/2 = 3/4x + 14
⇒ 2.5x - 0.75x = 14 - 3.5
⇒ 1.75x = 10.5
⇒ x = 6
⇒ No ×
===========================================================
Option B
⇒ 5/4x - 9 = 3/2x - 12
⇒ 1.5x - 1.25x = -9 + 12
⇒ 0.25x = 3
⇒ x = 12
⇒ No ×
=========================================================
Option C
⇒ 5/4x - 2 = 3/2x - 4
⇒ 1.5x - 1.25x = -2 + 4
⇒ 0.25x = 2
⇒ x = 8
⇒ Yes √
C is the right answer.
Katy invests a total of $13,000 in two accounts paying 2% and 7% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $310.00.
Invested at 2%___?
Invested at 7%___?
Answer:
2 % amount = 12000 7% amount = 1000 dollars
Step-by-step explanation:
x = 2% amount
then 13 000 - x = 7% amount
.02x + .07 (13000-x) = 310
-.05x + 910 = 310
.05x = 600
x = 600/.05 = 12000 then the 7% amount is 1000
Which graph does not represent a function of x?
temp change -4.2 and 9.1
Subtraction is a mathematical operation that reflects the removal of things from a collection. The temperature change from -4.2 to 9.1 is 13.3.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The temperature change from -4.2 to 9.1 is,
ΔT = 9.1 - (-4.2) = 9.1 + 4.2 = 13.3
Hence, the temperature change from -4.2 to 9.1 is 13.3.
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Use Pemdas to evaluate: 5c - 19, c=10
A bottle contains 20 blue bags and 15 red bags. If two bags are picked at random one after the other with replacement, what is the probability that the first bag is blue and then red?
Answer:
12÷49Step-by-step explanation:
The total number of bags in the bottle = 20 + 15 = 35
Then
the probability that the first bag is blue = 20/35
If we replace the first bag :
the probability that the second (picked) bag is blue = 15/35
Conclusion:
If two bags are picked at random one after the other with replacement
Then
the probability that the first bag is blue and then red is :
(20÷35)×(15÷35)
= (4÷7)×(3÷7)
= 12÷49
= 0.244897959184
Please answer asap!!!!!! I Inserted photo. Thankssss
Answer:
2nd option
Step-by-step explanation:
using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
given
6xy³z × 3x²yx²
= 6 × 3 × x × x² × x² × y³ × y × z
= 18 × [tex]x^{(1+2+2)}[/tex] × [tex]y^{(3+1)}[/tex] × z
= 18[tex]x^{5}[/tex][tex]y^{4}[/tex]z
2r + 3s = 14
2( )+ 3s = 14
+3s = 14
3s=
S =
Answer:
4
Step-by-step explanation:
3s=14-2
3s=12
3s/3=12/3
s=4