Answer:
$415 at 6% and $1315 at 14%
Step-by-step explanation:
She has x amount at 6%.
She has y amount at 14%.
y = x + 900
0.06x + 0.14y = 209
Since the first equation is already solved for y, we use the substitution method. Substitute x + 900 for y in the second equation and solve for x.
0.06x + 0.14(x + 900) = 209
0.06x + 0.14x + 126 = 209
0.2x = 83
x = 415
y = x + 900
y = 415 + 900
y = 1315
Answer: $415 at 6% and $1315 at 14%
list the samples in order from least to greastest mass.
0.130 0.301 0.31 0.013
Answer: .013, .130, .301, .31
Step-by-step explanation:
Order the expressions by choosing >,<, or =
Answer:
1. <
2. <
3. >
Step-by-step explanation:
Remember in order to solve exponents you need to multiply the whole number by itself as many times as it's exponent so if you have 3^4 you need to multiply three by itself four times.
1. [tex]2^5 = 2\times2\times2\times2\times2[/tex]
[tex]2\times2\times2\times2\times2=32[/tex]
[tex]=32[/tex]
[tex]2^2 = 2\times2[/tex]
[tex]2\times2=4[/tex]
[tex]32\times4=128[/tex]
[tex]2^{10} = 2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2[/tex]
[tex]2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2=1024[/tex]
128 < 1024
2. [tex]2^2=2\times2=4[/tex]
[tex]5^2=5\times5=25[/tex]
[tex]4\times25=100[/tex]
[tex]=100[/tex]
[tex]2^{10} = 1024[/tex]
100 < 1024
3. [tex]2^5 = 32[/tex]
[tex]5^2=25[/tex]
[tex]32\times25=800[/tex]
[tex]10^2 = 10\times10 = 100[/tex]
800 > 100
Hope this helps.
does anyone know this???
Answer: y=5x-7
I hope this helps I would appreciate brainliest if possible :)
Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x+4y-8
Answer:
[tex]y = 4x - 5[/tex]
Step-by-step explanation:
rewrite the equation
[tex]x + 4y - 8 = 0 \\ 4y = - x + 8 \\ y = - \frac{1}{4} x + 2[/tex]
perpendicular slope is a negative reciprocal. we will use the negative reciprocal to find the y-intercept
[tex]3 = 4(2) + b \\ 3 = 8 + b \\ b = - 5[/tex]
A polygon is shown on the graph:
A polygon is shown on the coordinate plane. Vertices are located at 3 comma 5, 1 comma 3, 1 comma 1, 2 comma 0, 4 comma 0, 5 comma 1, and 5 comma 3.
What effect will a translation 3 units down and 2 units left have on the polygon? Be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image.
9514 1404 393
Answer:
angles, side lengths, and congruency are unaffected by translation: translated figures are congruent.
Step-by-step explanation:
The proposed transformation is ...
(x, y) ⇒ (x -2, y -3) . . . . . . translation 2 left and 3 down
Translation, rotation, and reflection are all "rigid" transformations. They do not affect any measure of a figure: angles, side lengths, area all remain the same after any of these transformations. The figure after any of these transformations, or any combination of them, is congruent to the original.
__
The attachment shows the original figure (brown) and the translated figure (red). The pre-image and the image are congruent.
Answer: goood answer
Step-by-step explanation:
solve for completing the square x^2-12x+11=0
Answer:
x = 6 ± 5
Step-by-step explanation:
x² - 12x + 11 =0
x² - 12x = -11 Now add this number to both sides of the equal sign (1/2 of the coefficient of x-term squared)
x² - 12x +36 = -11 + 36 1/2(-12)² = 36
(x - 6)(x - 6) = 25
(x - 6)² = 25
[tex]\sqrt{(x-6)}[/tex]² = [tex]\sqrt{25}[/tex] square root of both side of the equation
x - 6 = ± 5 (5)² = 25 and (-5)² = 25
x = 6 ± 5
HII i really need help
Answer:
when in doubt choose c
Step-by-step explanation:
Answer: 11/48 cubic feet
Step-by-step explanation:
alright ill try my best to explain
so you use the formula V = 22/21r^2h
where V is volume
r is radius
and h is height of cone
you simply plug in the values given in the question, so
V=22/21*1/2^2*7/8
so the answer would be 11/48 cubic feet
write the first four terms of the sequence defined by the given rule f (1) = 3, f(n) = [ f(n - 1)] ^2
Answer:
3, 9, 81, 6561
Step-by-step explanation:
previous term × itself
[tex]\\ \sf\longmapsto f(n)=[f(n-1)]^2[/tex]
f(1)=3[tex]\\ \sf\longmapsto f(2)=(f(1))^2=3^2=9[/tex]
[tex]\\ \sf\longmapsto f(3)=(f(2))^2=(9)^2=81[/tex]
[tex]\\ \sf\longmapsto f(4)=(f(3))^2=(81)^2=6561[/tex]
Which angles are corresponding angles?
Answer:
OPN and QPS are corresponding angles
yall what is this? I dont really know what to do
Answer:
you did it right
Step-by-step explanation:
a rectangular prism has a length of 7.5m a height of 5m, and a volume of 225m³?
which steps are correct to find the width of prism? check all that apply.
Answer:
I'm too lazy to use a calculator but I'll explain the steps to you
Step-by-step explanation:
so basically all you have to do is you know that
volume=length*with*height
we already have the length and height
so do 7.5*5 on your calculator for me
and then divide that answer by 225
and then you will get your answer
excuse me for being lazy but at least I gave you your answer it's 4 am here
Which two integers is -1 2/3 in between?
-2 and -1
-1 and 0
0 and 1
1 and 2
Can someone help answering my questions in English and Math
Answer:
yo
Step-by-step explanation:
Hiii, What is the volume of the figure?
if x =6 + y and 4x = 3 -2y, then x=
Answer:
x = 5/2 or 2.5
Step-by-step explanation:
I solved this using simultaneous equations or system of equations
You times (1) by 2 so that the y's are the same
You add (3) and (2) instead of subtracting them because the sign in front of thr 2y's are different; adding them will eliminate them
What is the answer to this question?
Rewrite 1/2 as 4/8
Now add 5 3/8 + 2 4/8
Answer: 7 7/8
I need help please !!!
Answer:
ดำหเภสยาแไ_ะทบบใืกไภเืวบวมเพนยชตึภ/ภึรื
Dan ate 6/7 of a Snickers, Ariel ate 3/4 of a similar Snicker, who ate the most? (Write the name in the blank)
Answer:
dan
Step-by-step explanation:
to find out which person ate more, you have to convert the fractions into ones with the same denominator, or bottom number
the lcf (least common factor) of 7 and 4 is 28
6/7 * 4/4 = 24/28
3/4 * 7/7 = 21/28
using these numbers we can tell that dan ate more
at a baseball game, adult tickets cost $15 and children’s tickets cost $8. Twice as many children attended as adults, and the total ticket sales were $2480. How many people attended the game? Explain how you got your answer.
Two angles in a triangle are have the same measurement. The third angle is 12 degrees less than
the first angle. What are the measurements of angle 1, 2 and 3? (hint: you will need to know
how many degrees are in an triangle)
Entrance to a state park costs $6 per vehicle, plus $2 per person in the vehicle the cost for a bus with 50 people?
Answer:
$106
Step-by-step explanation:
So, this is what we know:
$6 per vehicle (1 bus) + $2 per person (50 people)
Here is the solution:
= $6 + $100
= $106
Marc edits a video he took in class. He cuts 9 seconds from the start. Then he cuts 3 seconds from the end. The clip is 5 seconds long. What was the starting length of the video?
Answer:
17 seconds
Step-by-step explanation:
The path of a baseball is given by the function: f(x)=-0.004x^2 + x + 3
, where f(x) is the height of the baseball (in feet) and x is the horizontal distance from home plate (in feet). Answer the following questions completely. Justify your answers algebraically.
(a) What is the maximum height reached by the baseball?
(b) If the baseball is not caught, how far from home plate does the ball hit the ground? Round your answer to one decimal place.
Answer:
The initial speed of the ball is 98.22 ft/s
The maximum height of the ball is 75.02 ft.
Step-by-step explanation:
Hi there!
Step-by-step explanation:
The position and velocity vectors of the ball can be calcualted as follows:
r = (x0 + v0 · t · cos α, y0 + v0 · t · sin α + 1/2 · g · t²)
v = (v0 · cos α , v0 · sin α + g · t)
Where:
r = position vector at time t.
x0 = initial horizontal position.
v0 = initial velocity.
t = time.
α = launching angle.
y0 = initial vertical position.
g = acceleration due to gravity (-9.8 m/s² considering the upward direction as positive).
v = velocity vector at time t.
Let´s call r final to the position vector when the ball is caught (see attached figure). The components of r final are:
x = 300 feet
y = 0
Then, r final = (300 feet, 0)
Notice that the origin of the frame of reference is located at the launching point.
Then, when the ball is caught:
300 feet = x0 + v0 · t · cos α
0 = y0 + v0 · t · sin α + 1/2 · g · t²
We have a system of two equations with two unknowns (t and v0), so, let´s solve it.
Let´s solve the first eqation for v0:
300 feet = x0 + v0 · t · cos α
Since the frame of reference is located at the launching point (x0 = 0). Then:
300 feet = v0 · t · cos 45°
300 feet /( t · cos 45°) = v0
Now, let´s replace v0 in the secod equation of the system:
0 = y0 + v0 · t · sin α + 1/2 · g · t² (y0 = 0)
0 = 300 feet/(t · cos 45°) · t · sin 45° - 1/2 · 9.8 m/s² · t²
0 = 300 feet · sin 45°/cos45° - 4.9 m/s² · t² (sin45°/cos45° = 1)
0 = 300 feet - 4.9 m/s² · t²
-300 feet = -4.9 m/s² · t²
-300 feet / -16.08 ft/s² = t²
t = 4.32 s
Now, we can calculate the initial velocity:
300 feet /( t · cos 45°) = v0
300 feet /( 4.32 s · cos 45°) = v0
v0 = 98.22 ft/s
The initial speed of the ball is 98.22 ft/s
To obtain the maximum height of the ball, we have to find at which time the ball is at its maximum height. We can do this in several ways, but we will use the equation of velocity. See in the figure that when the ball is at its maximum height, the y-component of the velocity is zero (because the vector is horizontal). Then, using the equation of the y-component of the velocity:
vy = v0 · sin α + g · t
0 = 98.22 · sin 45° - 32.15 ft/s² · t
(-98.22 · sin 45°) / - 32.15 ft/s² = t
t = 2.16 s
(Notice that this time is half the total time of flight calculated above (4.32 s). This is also the time at which the horizontal distance traveled by the ball is half the total horizontal traveled distance. This is so because the trajectory of the ball is a parabola).
Now that we have the time, we can calculate the y-component of the position vector (r1y in the figure).
r1y = v0 · t · sin α + 1/2 · g · t²
r1y = 98.22 ft/s · 2.16 s · sin 45° - 1/2 · 32.15 ft/s² · (2.16 s)²
r1y = 75.02 ft
The maximum height of the ball is 75.02 ft.
Question 1:
Write the specific equation for the kinetic energy E (measured
in Joules) of an 1100-kg car. Use this equation to compare the kinetic
energy of an 1100-kg car moving at a velocity of 10 meters per second to
the kinetic energy of the same car moving at 3 times the velocity.
Answer:
Step-by-step explanation:
KE = ½mv²
KE₁₀ = ½(1100)10² = 55000 = 55 kJ
KE₃₀ = ½(1100)30² = 495000 = 495 kJ
9 times greater
Graph the line with slope 2/3 passing through the point (-3,-3)
Step-by-step explanation:
y=mx+b
y=(2/3)x+b
-3=(2/3)(-3)+b
-3=-2+b
-1=b
y=(2/3)x-1 . y-intercept at (0,-1)
0=(2/3)x-1
1=(2/3)x
3=2x
3/2=x . x-intercept at (1.5,0)
Seventh grade
M.10 Multi-step problems with percents 2HX
Tutorial
A store purchased a digital camera and marked it up 100% from the original cost of $863.57.
A week later, the store placed the digital camera on sale for 40% off. What was the discount
Answer:
$690.86
Step-by-step explanation:
100% from the original cost is: 2 x 863.57 = $1,727.14
40/100 = X/1727.14 (40 percent is what of 1,727.40) (%/100 = is/of)
(40 * 1,727.14) / 100 = $ 690.86
ei
Extend geometric sequences
You might need: Calculator
What is the next term of the geometric sequence?
250, 50, 10,
Show Calculator
Stuck? Review related articles/videos or use a hint.
Report a pro
Answer:
2
Step-by-step explanation:
Thats what I got im 99.9999% sure it's correct pls give brainy crown thing because I used real effort for this.
Question 7 of 10
Which statement best describes an example of a short-term investment
strategy?
A. Mariam buys an IRA that she can't withdraw from without penalty
until she's 59.5.
B. Mariam invests $4,000 in a mutual fund to create a new income
stream.
O C. Mariam buys a certificate of deposit to set aside money for a
down payment on a car.
D. Mariam buys 100 shares of stock in a proven company known for
solid, dependable performance over time.
SUBMIT
Answer:
C
Step-by-step explanation:
Its not A because she can't withdraw it for however many years.
Its not B because creating a new income stream is a long term investment.
Its not D because it says she buys stock of a long-term performing company
Which of the following inequalities is represented by the number line?
Question 9 options:
A)
x ≥ 1
B)
x < 1
C)
x > 1
D)
x ≤ 1
Answer:
Step-by-step explanation:
x ≥ 1
Hope this helps!
close circle = ≥ or ≤
open circle = > or <
positive number = going to the right
negative number = going to the left
Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, how much take-home pay did Adjoa earn this past month?
Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, the take-home pay that Adjoa earn in the past month is Ghc4,265.46
The gross salary is the amount received by an individual prior to the deduction of the taxes.
Given that:
Adjoa's gross salary for last month = Ghc4,687.24and Ghc421.78 was deducted from Adjoa's salary pay.Then, the take-home that Adjoa earned in the past month is calculated by removing the amount deducted from her gross salary.
i.e.
= Ghc4687.24 - Ghc421.78
= Ghc4,265.46
Learn more about gross salary here:
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