Answer:
Amount of investment after 10 year = $432.76 (Approx.)
Step-by-step explanation:
Given;
Amount of investment = $220
Annual rate = 7% = 0.07
Number of year = 10 years
Find:
Amount of investment after 10 year
Computation:
A = P[1+r]ⁿ
Amount of investment after 10 year = 220[1+0.07]¹⁰
Amount of investment after 10 year = 220[1.07]¹⁰
Amount of investment after 10 year = 220[1.9671]
Amount of investment after 10 year = 432.762
Amount of investment after 10 year = $432.76 (Approx.)
In a batch of 120 manufactured machine parts, 3 are found to be defective. At
his rate, how many machine parts would be defective in a batch of 12,000?
Answer:
300
Step-by-step explanation:
3:120 =1:60 ==300:12000
Let f(x) = 4x + 3 and g(x) = -2x + 5. Find. (g⋅f)(5)
Answer:
-41
Step-by-step explanation:
f(x) = 4x + 3 and g(x) = -2x + 5
g(f(5) ) =
First find f(5) = 4(5)+3 = 20+3 = 23
Then find g(23) = -2(23) +5 = -46+5 = -41
Answer with the explanation step by step
Answer:
The answer is A. [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex].
Step-by-step explanation:
To find the difference of this problem, start by simplifying the denominator, which will look like [tex]\frac{3}{x+7}-\frac{42}{(x+7)(x-7)}[/tex]. Next, multiply [tex]\frac{3}{x+7}[/tex] by [tex]\frac{x-7}{x-7}[/tex] to create a fraction with a common denominator in order to subtract from [tex]\frac{42}{(x+7)(x-7)}[/tex]. The problem will now look like [tex]\frac{3}{x+7}*\frac{x-7}{x-7}-\frac{42}{(x+7)(x-7)}[/tex].
Then, simplify the terms in the problem by first multiplying [tex]\frac{3}{x+7}[/tex] and [tex]\frac{x-7}{x-7}[/tex], which will look like [tex]\frac{3(x-7)}{(x+7)(x-7)}-\frac{42}{(x+7)(x-7)}[/tex]. The next step is to combine the numerators over the common denominator, which will look like [tex]\frac{3(x-7)-42}{(x+7)(x-7)}[/tex].
Next, simplify the numerator, and to simplify the numerator start by factoring 3 out of [tex]3(x-7)-42[/tex], which will look like [tex]\frac{3(x-7-14)}{(x+7)(x-7)}[/tex]. Then, subtract 14 from -7, which will look like [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex]. The final answer will be [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex].
Convert the angle 0 = 310° to radians. Express your answer exactly.
Answer:
5.425
Step-by-step explanation:
310° = 310° × π ÷ 180°
= 310° × 3.142 ÷ 180°
= 310° × 0.0175
= 5.425
Answer:
[tex]\frac{31\pi }{18}[/tex]Step-by-step explanation:
i got it right on khan[tex]\frac{31\pi }{18}[/tex]
Simplify the expression. Write the answer using scientific notation.
(2 x 10^13)^-2
Answer:
2.5 x 10^-27
Step-by-step explanation:
(2 x 10^13)^-2
= (2^-2) x (10^13) ^-2
= 0.25 x 10^-26
= 2.5 x 10^-27
Answered by Gauthmath
(3×sqrt(3)-2×sqrt(2))÷(sqrt(3)-sqrt(2))
Answer:
5+√6
Step-by-step explanation:
(3√3 -2√2) ÷ (√3-√2 )
= (3√3 -2√2) (√3+√2) ÷ (√3 -2√2) (√3+√2)
= (9+3√3√2-2√2√3-4) ÷ ((√3)^2 -(√2)^2)
=(9+3√6-2√6-4) ÷ (3-2)
= (5+√6)
Mrs. Vacarro sliced a banana into 5 pieces. After eating one slice, she gave ⅘ of the original total to her toddler. After her child was finished, there were ⅖ of the banana slices left. What expression would you use to find out what fractional amount of banana Mrs. Vacarro's toddler ate?
The fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Mrs. Vacarro sliced a banana into 5 pieces.
Number of slices she gave to her toddler = 4/5
Number of slices left after her toddler had finished eating = 2/5
Thus number of slices toddler ate,
⇒ [tex]\frac{4}{5} -\frac{2}{5}[/tex]
⇒ [tex]\frac{4-2}{5}[/tex]
⇒ [tex]\frac{2}{5}[/tex]
Hence we can conclude that the fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.
Learn more about word problems here
brainly.com/question/20594903
#SPJ2
calcula el valor de A - B, si se sabe que: A=
Answer:
[tex]P=\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]P=\frac{(x+3)^2-(x-3)^2}{(x+6)^2-(x-6)^2}[/tex]
[tex]=\frac{[(x+3)-(x-3)][(x+3)+(x-3)]}{[(x+6)-(x-6)][(x+6)+(x-6)]}[/tex]
[tex]=\frac{6(2x)}{12(2x)}[/tex]
[tex]=\frac{1}{2}[/tex]
Por tanto, el valor de P será [tex]\frac{1}{2}[/tex]
in a diagram 0 is the centre of the circle and ABC=240
Question incomplete please add the diagram
For the triangle shown, what are the values of x and y?
60°
30°
6
Select the correct answer.
O x = 2V3, y = 473
O x= 3V3, y = 6/3
O x = 6/3, y = 12
O x = 6V3, y = 1273
Answer:
x = 6/√3 = 2√3
y = 2×2√3 = 4√3
So, 1st option is correct
Fifteen years from now, Atli’s age will be 4 times his current age. What is his current age?
Answer:
he is three i think
Step-by-step explanation:
MUST SHOW WORK.
please do this ASAP!
This is about numerical expressions!
[tex]{\huge\fcolorbox{blue}{black}{\pink{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: Solution\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}}[/tex]
[tex]2(4 - 1) {}^{2} - 3 + 2(5) \\ \\ = 2(3) {}^{2} - 3 + 2(5) \\ \\ = 2 \times 9 - 3 + 2(5) \\ \\ = 18 - 3 +2(5)\\ \\ =>15-10 = 25[/tex]
Hope This Helps You[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{2(4 - 1)^2 - 3 + 2(5)}[/tex]
[tex]\mathsf{4 - 1 = \bf 3}[/tex]
[tex]\mathsf{= 2(3^2) - 3 + 2(5)}[/tex]
[tex]\mathsf{3^2}\\\mathsf{= 3\times3}\\\mathsf{= \bf 9}[/tex]
[tex]\mathsf{= 2(9) - 3 + 2(5)}[/tex]
[tex]\mathsf{2(9)}\\\mathsf{= \bf 18}[/tex]
[tex]\mathsf{= 18 - 3 + 2(5)}[/tex]
[tex]\mathsf{18 - 3}\\\mathsf{= \bf 15}[/tex]
[tex]\mathsf{= 15 + 2(5)}[/tex]
[tex]\mathsf{2(5)}\\\mathsf{= \bf 10}[/tex]
[tex]\mathsf{= 15 + 10}\\\mathsf{= \bf 25}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf{25}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day! }[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
4(a)+8-a,if a=-2 evaluate each expression
Answer:
2
Step-by-step explanation:
4(a)+8-a
Combine like terms
4a-a +8
3a+8
Let a = -2
3(-2)+8
-6 +8
2
Amazon hires you as their data analysist. You have to make a presentation
to their board of directors about which shipping method they should invest
an additional $10 million in. The data they provide you is below.
Please help due today
Answer:
standard= 21.333%
prime= 42.666%
expedited= 6.666%
locker= 29.333%
if g(x) = (x) -5 ; find g(-5),g(0) and g(5).
Answer:
see below
Step-by-step explanation:
g(x) = (x) -5
Let x = -5
g(-5) = -5 -5 = -10
Let x= 0
g(0) = 0-5 = -5
Let x= 5
g(5) = 5-5 = 0
Can u please solve this
Answer:
522.5in^3
Step-by-step explanation:
4/3 ×3.14×5^3
4/3×3.14×125
1.33×3.14×125
4.18×125
522.5
Step-by-step explanation:
[tex]v = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times 3 \times {5}^{3} \\ = 4 \times 125 \\ = 500 {in}^{3} \\ thank \: you[/tex]
Which angles are adjacent to each other?
Angle CHG and Angle HDL
Angle AEB and Angle DEA
Angle CHG and Angle HCE
Angle JCH and Angle CHG
Please make sure it's correct because one person once tried it and got it wrong..lol.
Answer:
B
Step-by-step explanation:
Adjacent angles must have the same vertex, so if the middle letter of the three letters used to name each of the angles in a pair are not the same, the angles cannot be adjacent.
That eliminates choices A, C, and D.
Answer: B
Look in the picture first below. Each pair of angles with the same vertex marked in blue is a pair of adjacent angles. For two angles to be adjacent angles, they must be next to each other, have the same vertex, and one cannot be inside the other.
Now look in the second picture below. Each pair of angles marked in red is not a pair of adjacent angles. Some of them are not next to each other. Others have one angle inside the other.
rearrange the formula to make x the subject : 5( a - 2x) = 9(x + 1)
Answer:
x = [tex]\frac{5a-9}{19}[/tex]
Step-by-step explanation:
Given
5(a - 2x) = 9(x + 1) ← distribute parenthesis on both sides
5a - 10x = 9x + 9 ( add 10x to both sides )
5a = 19x + 9 ( subtract 9 from both sides )
5a - 9 = 19x ( divide both sides by 19 )
[tex]\frac{5a-9}{19}[/tex] = x
tìm kiếm x y z
x-1/y =1
y-1/z =1
z-1/x =1
y - 1/z = 1 ==> y = 1 + 1/z
z - 1/x = 1 ==> z = 1 + 1/x
==> y = 1 + 1/(1 + 1/x) = 1 + x/(x + 1) = (2x + 1)/(x + 1)
x - 1/y = x - (x + 1)/(2x + 1) = (2x ² - 1)/(2x + 1) = 1
==> 2x ² - 1 = 2x + 1
==> 2x ² - 2x - 2 = 0
==> x ² - x - 1 = 0
==> x = (1 ± √5)/2
If you start solving for z, then for x, then for y, you would get the same equation as above (with y in place of x), and the same thing happens if you solve for x, then y, then z. So it turns out that x = y = z.
A video game displays 125 frames in 5 seconds on Penelope's computer. What is the rate in frames per second?
A. 23 frames per second
B. 25 frames per second
C. 26 frames per second
D. 24 frames per second
Answer:
[tex] = { \tt{ \frac{125}{5} }} \\ = { \bf{25 \: frames \: per \: second}}[/tex]
Answer:
B. 25 frames per second
Step-by-step explanation:
To find the rate in frames per second, divide the total frames in 5 seconds by 5. This is because 5/5=1 and that way we're finding the frames per (one) second.
Therefore, we have:
[tex]\frac{125}{5}=\boxed{25\text{ frames per second}}[/tex]
The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = x2 + 1 and g(x) = 3x.
Find f · g.
A.
x2 + 3x + 1
B.
3x3 + 3x
C.
3x3 + 3x + 1
D.
x2 + 3x
Answer:
I say it's a
Step-by-step explanation:
I hope this help
If f(x)= sqrt x, which equation describes the graphed function.
Answer:
C. y = -f(x) - 3
Step-by-step explanation:
The given (parent) function is f(x) = √x
The given graph shows a real curve that starts from y = -3, when x = 0 and the y-value increases in magnitude in the negative direction as the x-values increases positively from left to right, by the same amount that the parent function increases from left to right
Therefore;
The graph is real, therefore, the value of x in √x is x ≥ 0, and y ≠ f(-x) + D
Where, D, is the vertical shift
The graph starts at x = 0, y = -3, compared to the parent function, the vertical shift, D = -3
The y-value of the given curve increases in the opposite direction (negatively) as the y-value of the parent function increases in magnitude in the positive direction
Therefore, the equation of the given curve comprises of the reflection of the parent function or -f(x)
The graph shows the reflection of the parent function, across the x-axis, and we have, reflection of the parent function, f(x) which is -f(x)
Therefore, the equation that describes the graphed function is y = -f(x) - 3
Which represents the polynomial below written in standard form?
StartFraction x squared Over 2 EndFraction – 3x + 4x3 + 6
6 + StartFraction x squared Over 2 EndFraction – 3x + 4x3
4x3 + StartFraction x squared Over 2 EndFraction – 3x + 6
–3x + 4x3 + 6 + StartFraction x squared Over 2 EndFraction
StartFraction x squared Over 2 EndFraction + 4x3 – 3x + 6
Answer:
B. [tex]4x^3}+\frac{x^2}{2}-3x+6[/tex]
Step-by-step explanation:
The polynomial is [tex]\frac{x^2}{2}-3x+4x^3}+6[/tex]
To write in Standard form, the greatest exponent goes first, down to the least.
The greatest exponent is 3, so [tex]4x^3[/tex] goes first.
[tex]4x^3}+\frac{x^2}{2}-3x+6[/tex] is what you end up with
Answer:
B
Step-by-step explanation:
I took the test.
bral
Explain how to use a graph of the function f(x) to
find (3).
3
Select the correct answer.
Which statement best describes the solution to this system of equations?
3x + y= 17
x+2y= 49
OA.
It has no solution.
B.
It has infinite solutions.
O c.
It has a single solution: x = 15, y= 17.
OD
It has a single solution: x= -3, y = 26.
Answer:
X= –3, y=26
Step-by-step explanation:
3X+Y=17====> –2(3X+Y)=–34===> –6X–2Y=–34
X+2Y=49
Aight so let's head to the sum
–5X=15===> X=–3
–3+2Y=49===> 2Y=52===> Y=26
"A parabola has the equation = ^ + − . What are the coordinates of the vertex? (You must solve by factoring)!!!!!" I NEED THE ANSWER TO THIS FAST WITH STEPS I'm a grade 10 academic student by the way
Answer:
1
Step-by-step explanation:
1
Each group of students receives a bag that has 8 red cubes, 2 green cubes, and 10 blue cubes. If each group makes 100 pulls and replaces the cube after each pull, how many times would you expect them to draw a blue cube?
Answer:
50% of the time
Step-by-step explanation:
8+2+10=20
20-10=10
10 is half of 20
Answer:
50
Step-by-step explanation:
First find the probability of drawing a blue
The total number of cubes
8 red cubes, 2 green cubes, and 10 blue cubes = 20 cubes
P(blue) = blue / total = 10/20 = 1/2
Since they are replaced, the probability remains the same
100 draws * P(blue) = 100 * 1/2 = 50
CAN SOMEONE TELL ME WHT DID I DO WRONG ASAP THANK YOU!!!
The final step. You divided wrong.
8 = 400 / 120 = 10/3
Step-by-step explanation:
The final step. You divided wrong.
[tex] s = \frac{400}{120} = \frac{10}{3} [/tex]
Rewrite this equation in the form y = ax + b.
2y = 4x - 8
Enter the correct answer.
OOÐ
DONE
Clear all
ĐOO
?
Answer:
y = 2x -4
Step-by-step explanation:
2y = 4x - 8
Divide each side by 2
2y/2 = 4x/2 - 8/2
y = 2x -4
What is the average rate of change for this quadratic function for the interval
from x = 3 to X = 5?
Answer:
4
Step-by-step explanation:
average = mean of the data
(3 +5)/2
=8/2
=4
Answer:
8
Step-by-step explanation:
f(x2) -f(x1)
---------------
x2-x1
x2 = -3 and x1 = -5
