Answer:
2 years
Step-by-step explanation:
because 4.5 percent of 9000 is 405
405 times 2 is 810
so 2 years
Solve the equation for x and find the restrictions on the variable. Ax + bx = c
Answer:
x = c/(A + b)
A + b ≠ 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
FactoringStep-by-step explanation:
Step 1: Define
Ax + bx = c
Step 1: Solve for x
Factor: x(A + b) = cIsolate x: x = c/(A + b)We know that we cannot divide by 0, so A + b cannot equal 0.
F is inversely proportional to d 2 . When F = 8 , d = 6 Work out d (positive value rounded to 2 DP) when F = 7
Answer:
d ≈ 6.41
Step-by-step explanation:
Given that F is inversely proportional to d² then the equation relating them is
F = [tex]\frac{k}{d^2}[/tex] ← k is the constant of proportion
To find k use the condition when F = 8, d = 6 , then
8 = [tex]\frac{k}{6^2}[/tex] = [tex]\frac{k}{36}[/tex] ( multiply both sides by 36 )
288 = k
F = [tex]\frac{288}{d^2}[/tex] ← equation of proportion
When F = 7 , then
7 = [tex]\frac{288}{d^2}[/tex] ( multiply both sides by d² )
d² × 7 = 288 ( divide both sides by 7 )
d² = [tex]\frac{288}{7}[/tex] ( take the square root of both sides )
d = ± [tex]\sqrt{\frac{288}{7} }[/tex] ≈ ± 6.41
The positive value of d is 6.41 ( to 2 dec. places )
Answer:
when F = 7, d = 6.41
Step-by-step explanation:
We know that when 'y' varies inversely with 'x', we get the equation
y ∝ 1/x
y = k/x
where 'k' is called the constant of proportionality
Given that F is inversely proportional to d.
F ∝ 1/d
F = k /d²
When F = 8, d = 6, we need to find k
k = Fd²
k = 8×(6)²=288
Now, we need to find d when F = 7
so substitute k = 288, F = 7 in the equation
F = k /d²
d² = k/F
d² = 288/7
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]d=\sqrt{\frac{288}{7}},\:d=-\sqrt{\frac{288}{7}}[/tex]
but, we need to take the positive value of d, so
[tex]d=\sqrt{\frac{288}{7}}[/tex]
[tex]d=6.41[/tex]
Therefore,
when F = 7, d = 6.41
−2, −1, 4 , find all numbers listed that are solution of the equation. (Careful, there might be more than one that work!) If you find several solutions, separate them with a comma. If none of the given numbers work, just enter DNE for 'does not exist'.
k3−k2+k−4=−2k2+k−4
Answer:
k3-k2+k-4=−2k2+k−4 that is the answer
Write an equation for the following problem.
The cost of a babysitting service on a cruise is $10 for the first hour and $12 for each additional hour. If the total cost of
babysitting baby Aaron was $58, how many hours was Aaron at the sitter?
12x+10=58
10x+12=58
12x-58=10
10x+58=12
Answer: Aaron was at the sitter for 5 hours
Step-by-step explanation:
12x + 10 = 58
the 12x is for each hour after the first hour and the 10 is the first hour
-10 from each side
12x = 48
/12
x = 4
4 additional hours plus the original hour
If an arithmetic sequence
begins with a 6 and the constant term is 2, what would be the
fourth term of the sequence?
plsssss help
Answer:
a₄ = 12
Step-by-step explanation:
To obtain the terms in the sequence add 2 to the previous term, that is
a₂ = a₁ + 2 = 6 + 2 = 8
a₃ = a₂ + 2 = 8 + 2 = 10
a₄ = a₃ + 2 = 10 + 2 = 12
Given the parallelogram below, find the value of angle 1
Solve the equation sin^2x=3Cos^2X.
I would love to graduate...so thanks in advance!
Answer:
240°
Step-by-step explanation:
[tex]sin^2x=3cos^2x \\ \\ sin^2x=3(1 - sin^2x )\\ \\ sin^2x=3 - 3sin^2x \\ \\ sin^2x + 3sin^2x=3 \\ \\ 4sin^2x=3 \\ \\ sin^2x= \frac{3}{4} \\ \\ sinx= \sqrt{ \frac{3}{4} } \\ \\ sinx= \frac{ \sqrt{3} }{2} \\ \\ sinx= sin \: 60 \degree \\ \\ in \: the \: second \: quadrant \\ sinx= sin \: (180 \degree - 60 \degree ) = sin \: 120 \degree \\ \\ in \: the \: third \: quadrant \\ sin x= sin \: (180 \degree + 60) \degree = sin \: 240 \degree[/tex]
A shoe store uses a 50% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $59?
Answer:
ummm
Step-by-step explanation:
Answer:
29.50
Step-by-step explanation:
$1,250 at 5% simple interst for 2 years
Answer:
2625
Step-by-step explanation:
Simple Interest Formula
P*R*T
1250*1.05*2=2625
Answer:
After two years, there will be a total of $1,375 paid and $125 paid in interest.
Step-by-step explanation:
Since, 5 x 2 = 10, first we should find 10% of $1,250.
1,250 x 0.10 = 125
$1,250 + $125 = $1375
Therefore, after two years, there will be a total of $1,375 paid and $125 paid in interest.
Hope this helps! :D
Solve this equation for x by graphing.
-4x - 1 = 5^x + 4
Please help! Asap
Answer:
-1.28
Step-by-step explanation:
You would put these two equations into a graphing ccalculator:
y = -4x - 1
and
y= 5^x + 4
Wherver they intersect is your answer.
These two happen to intersect at (-1.28,4.13)
Since the equation has x-values, you would give the first number (x-coordinate) as your answer.
Sharon buys four salmon steaks for $22.95 at her local supermarket. The weights of the steaks, in pounds, are 0.68, 0.74, 0.77, and 0.81. To the nearest cent, what is the price of salmon steak per pound?
Answer:
$7.65
Step-by-step explanation:
Given that:
Money used for buying the four salmon steaks = $22.95
Weights of steaks in pounds = 0.68, 0.74, 0.77, and 0.81
To find:
Price of salmon steak per pound, to the nearest cent = ?
Solution:
Total weight of all 4 steaks = 0.68 + 0.74 + 0.77 + 0.81 = 3
Here, to find the price of salmon steak per pound we need to divide the total money used to buy salmon steaks with the total weight of salmon steaks in pounds.
Price of salmon steak per pound = [tex]\frac{22.95}{3} = \$7.65[/tex]
HELP ME 50 POINTS RN
Answer:
A
Step-by-step explanation:
Because it can only lift 2,200 pounds and that means it can lift 2,200 - 0 Pounds
Pleaseee I need help
Answer:
32
Step-by-step explanation:
2x-16 + 4x+4 =180
6x=180+12
6x=192
x=32
I hope this helps, have a good day
Giving brainless! Don’t answer if you don’t know I’ll flag you.
Answer:
The sales tax is $0.40
Step-by-step explanation:
10 x 0.04 = 0.4
0.04 is 40% when multiplying
The city of Austin has a bridge that is famous for housing the largest urban bat colony in the
world. It is home to 2 million bats. It has been determined that the bats eat a total of 10 tons
of insects a night. If the population of the bats increases to 2.5 million, about how many
insects would they consume?
Answer:
tons
Answer:
12.5 tons
Step-by-Step Explanation
There are 2 million bats and they eat 10 tons so 1 million bats would eat 5 tons half of 5 is 2.5 so if there where 2.5 million bats then you would increase the number of insects by half of a half or 2.5 because the number increased by half a million and 1 million bats eat 5 tons. Hope this was helpful :D
The local car dealership has noticed a 3:1
ratio for people purchasing SUV's to those
purchasing trucks. If they have room for
128 trucks and SUV's on their lot, how
many trucks should they have available to
sell?
Answer:
32 trucks.
Step-by-step explanation:
3:1
Every time 3 SUV's are sold, one truck is sold. This would also mean that [tex]\frac{3}{4}[/tex] of both trucks and SUV's sold are SUV's. If we divide 128 into fourths, then you get 32. One fourth of 128 is 32. So, they should have 32 trucks (and 96 SUV's)
Which of the following expressions is in simplified form?
9 j - 3 - j
4 w - 5
1 1/2 n + 2.9 n
-2 + 1.4 m + 0.5
Answer:
The answer is 4w-5 its in its simplest form
Demons answer this for me.
Answer:
Step-by-step explanation:
if you have negative numbers of x (this means negative meters) then the equation transform them into negative yards.
then replace y by 40yd in the equation like
40 = 1.09x
x = 40/1.09 = 36.7 meters
so in a 40yd race, there are 36.7 meters.
a line passes through (3, -2) and (6, 2).
a. Write an equation for the line in point slope-form
b. rewrite the equation in standard form using integers
9514 1404 393
Answer:
a) y +2 = (4/3)(x -3)
b) 4x -3y = 18
Step-by-step explanation:
a) The slope formula gives part of what is needed for point-slope form:
m = (y2 -y1)/(x2 -x1)
m = (2 -(-2))/(6 -3) = 4/3
Point-slope form is ...
y -k = m(x -h) . . . . . . for slope m and point (h, k)
Using the first point, we get ...
y +2 = 4/3(x -3)
__
b) Multiplying by 3 and eliminating parentheses, we get ...
3(y +2) = 4(x -3)
3y +6 = 4x -12
Adding 12 -3y to both sides gives ...
18 = 4x -3y
Putting this in the usual form, we have ...
4x -3y = 18
Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long. How long is each of the 7 smaller boards?
Answer:
1 1/3 feet long
Step-by-step explanation:
Answer:
Each of the seven smaller boards will be 1.3 feet long
Step-by-step explanation:
We must divide 9 1/3 by 7
9 1/3 / 7 = 1.333286
We now have to round to the nearest tenth which would give us:
1.3
So our final answer would be 1.3
if the slope is -2/5 and the y-intercept is 5/2 the slope-intercept form is y=5/2x-2/5 true or false
Answer:
is false
explanation
just trust me
Please help!! I included a pic of the problem to make it easier.
Find the quotient (z/w)
z = 6(cos(pi/3) + isin(pi/3), w = 3(cos(pi/6) + isin(pi/6)
[A]2(cos(pi/6)+isin(pi/6)
[B]2(cos(pi/90)+isin(pi/90)
[C]18(cos(pi/2)+isin(pi/2)
[D] None of these
Answer: i think it is D
we have:
[tex]\frac{z}{w}= \frac{6(cos\frac{\pi }{3}+i.sin\frac{\pi }{3} ) }{3(cos\frac{\pi }{6}+i.sin\frac{\pi }{6}) }\\\\\\<=>\frac{z}{w}=\frac{2(\frac{1}{2}+i.\frac{\sqrt{3} }{2}) }{\frac{\sqrt{3} }{2}+i.\frac{1}{2} }\\\\<=>\frac{z}{w}= \frac{2+2\sqrt{3}.i }{\sqrt{3}+i }[/tex]
Step-by-step explanation:
100 points!!
Nicole has 425 candy bars to sell for a fundraiser. Let C be the number of candy bars. Let P be the amount made from selling the candy bars. Suppose that P = 2C - 300 gives P as a function of C.
Identify the correct description and appropriate set of values for the domain of the function.
Group of answer choices
the number of candy bars; open curly brackets 0 comma 1 comma 2 comma 3 comma horizontal ellipsis comma 425 close curly brackets
the number of candy bars; the set of all real numbers from 0 to 300
the amount made from selling the candy bars; the set of all real numbers from 0 to 300
the amount made from selling the candy bars; open curly brackets 0 comma 1 comma 2 comma 3 comma horizontal ellipsis comma 425 close curly brackets
Answer:
its c
Step-by-step explanation:
i just too quiz and it siad this
Answer:
c
Step-by-step explanation:
took the quiz and got 100% on it
Random variation in a process indicates __________; whereas non-random variation indicates process __________.
Answer: b. Stability/instability
Step-by-step explanation:
Random variation in a process indicates stability; whereas non-random variation indicates process instability.
When there is random variation in a process, it means that the process is stable and under control such that the only variations are those expected to be in the process.
When the variation is non-random however, it points to instability in process because this variation is special and not inherent in the process.
Planet X is 1/2 of a light-year away from Earth. Planet Y is 3/10 of a light-year away from Earth. How much farther away is Planet X?
Answer:
1/2= 5/10
5/10 - 3/10 = 2/10 or 1/5
so planet X is 1/5 of a light-year closer
Step-by-step explanation:
Answer:
5/10
Step-by-step explanation:
Simplified
The regular price is $8.45 more than the sale price. The regular price
is $24.95. What is the sale price? _____
Answer:
33.04
Step-by-step explanation:
just add lolz :P
Answer:
$33.40
Step-by-step explanation:
1 1 1
24.95
+ 8.45
__________
33.40
5+5 is 10 so bring a 1 to the top and put a 0 for the bottom
1+9+4 is 14 so put the 4 down and put the 1 on top.
1+4+8 is 13 so put the 3 down and put the 1 on top.
1+2 is 3 so put the 3 down
then you get 33.40
A three-and-a-half foot stick is cut into two pieces. One piece is
1.65 ft long. How long is the other piece?
Answer:
1.4
Step-by-step explanation:
3.05 is the length of the stick and 1.65 is one part if the stick si we subtract 1.65 from 3.05 to find the length of the other piece
20z-8 please helpppp
Answer: 4(5z−2)
Step-by-step explanation: Brainliest pls
Eeeeeeeeeeeeeeeeeeeeeee
what is the b in equation y=2x+12
Answer:
b = 12
Step-by-step explanation:
y = mx + b
b = 12
Answer:
the b is 12
Step-by-step explanation: y=mx+b