Answer:
5 < x ≤ 9
Step-by-step explanation:
Rewrite the fraction as a decimal.
{57}{5}= 5 57
Answer: 11.4
Step-by-step explanation: In the fraction 57/5, 57 is the numerator and 5 is the denominator, the fraction bar means "divided by". Therefore, the fraction 57/5 is same as "57 divided by 5" or "57 ÷ 5".
When we calculated 57 divided by 5, we found that 57/5 in decimal form is:57 ÷ 5 = 11.4 Therefore, the decimal form of 57/5 is 11.4
Hope I helped <3
A book sold 33,100 copies in his first month of release suppose is represents 7.6% of the number of copies sold to date how many copies have been sold to date?
Answer:
2515 number of copies sold to date
NO LINKS!! Jacob just won $32000 on the new game show, "The Wall,". He invested his winnings at an interest rate of 4.5%, compounded quarterly.
Answers:
a) See the table below
b) The equation is [tex]y = 32000(1.01125)^x[/tex]
c) $40,024.02
d) See the graph below
=========================================================
Explanations:
a)
Start with part (b) where I detail how to get the equation.
Once the equation is found, plug in x = 0 to get
[tex]y = 32000(1.01125)^x\\\\y = 32000(1.01125)^0\\\\y = 32000\\\\[/tex]
Repeat for x = 1
[tex]y = 32000(1.01125)^x\\\\y = 32000(1.01125)^1\\\\y = 32360\\\\[/tex]
Repeat for x = 2, x = 3, x = 4 and x = 20 to get the table shown below.
-----------------------
b)
The template for any exponential equation is [tex]y = a(b)^x[/tex]
a = starting amount = 32000
b = growth factor
The annual interest rate is 4.5%
We compound quarterly, so the quarterly rate is (4.5%)/4 = 1.125% which converts to the decimal form 0.01125; adding one to this leads to the growth factor of b = 1.01125
We go from [tex]y = a(b)^x[/tex] to [tex]y = 32000(1.01125)^x[/tex]
-----------------------
c)
Plug in x = 20 to represent 20 quarters have elapsed (aka 20/4 = 5 years)
[tex]y = 32000(1.01125)^x\\\\y = 32000(1.01125)^{20}\\\\y \approx 32000(1.25075052084381)\\\\y \approx 40024.016667002\\\\y \approx 40024.02\\\\[/tex]
The investment would be worth $40,024.02 after five years, aka twenty quarters.
-----------------------
d)
See below for the graph. I'm using GeoGebra to make the graph. Another option is Desmos. It's preferable to use technology than to graph by hand. If you wanted to graph by hand, then you'd plot each of the points found in the table. Then draw a curve through all those points.
Answer:
Compound interest formula
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = principal amountr = annual interest rate (as a decimal)n = number of compounding periods per unit of timet = time in decimal years (e.g. 6 months = 0.5 yrs)Given:
P = $32,000r = 4.5% = 0.045n = 4 (compounded quarterly)t = 0.25x[tex]\implies y=32000(1+\frac{0.045}{4})^{4 \times 0.25x}[/tex]
[tex]\implies y=32000(1.01125)^x[/tex]
Part (a)[tex]\begin{tabular}{|c | c |}\cline{1-2} \bf Quarterly & \bf \$ \\\cline{1-2} 0 & 32000.00\\\cline{1-2} 1 & 32360.00\\\cline{1-2} 2 & 32724.05\\\cline{1-2} 3 & 33092.20\\\cline{1-2} 4 & 33464.48\\\cline{1-2} --- & --- \\\cline{1-2} 20 & 40024.02\\\cline{1-2}\end{tabular}[/tex]
Part (b)[tex]y=32000(1.01125)^x[/tex] (where x is the number of quarterly periods)
Part (c)$40,024.02
Part (d)see attached
find all the fraction between 0 and 1
Answer:
Between 0 and 1 there is 12, between 1 and 2 there is 112=3/2, and so on. In fact, there are infinitely many fractions between any two whole numbers. Let's see why. Between 0 and 1 there are also 13, 14, 15, and any number that can be written as 1n where n is some whole number.
__________________
Hope this helped! Have a nice day!
Please give Brainliest when you can.
__________________
-Dont let the Pirates get ya!
-Jaron, King of Carthya.
help my sis needs help asap
Answer:
152 in^2
Step-by-step explanation:
If you take the left side and consider it a whole rectangle, you can calculate the area of that triangle to be 80. Using the same method, you can find the area of the rectangle of the right to be 72. Then add them together.
80 + 72 = 152 in^2
Answer:
It should be D
Step-by-step explanation:
I think it’s D since that’s what I got
Explain how to find 398 + 257 with mental math and with the standard algorithm.
Step-by-step explanation:
If you were to round 398 to the nearest hundred, you would get 400. that's only 2 off of 398. when you add 400 + 257 that would equal 857 because 4 + 2= 6 and then the other two digits on 400 are zeros so 5 and 7 stay the same. with 857, you must now subtract 2 because you added 2 earlier. 857 - 2 = 855.
My book has 120 pages. If I have read half of it how many pages have I read
Answer:60 pages
Step-by-step explanation:
first take away the zero then devide by 2 then add the zero the the number that your left with.
4) True or False? Our town is growing with a doubling time of 40 years, so its
population will triple in 120 years.
56. How many tangent lines to the curve [tex]y=x /(x+1)[/tex] pass through the point (1,2)? At which points do these tangent lines touch the curve?
There are 2 tangent lines that pass through the point
[tex]y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2[/tex]
and
[tex]y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2[/tex]
Explanation:
Given:
[tex]y=\frac{x}{x+1}[/tex]
The point-slope form of the equation of a line tells us that the form of the tangent lines must be:
[tex]y=m(x-1)+2[/tex] [tex][1][/tex]
For the lines to be tangent to the curve, we must substitute the first derivative of the curve for [tex]m[/tex]:
[tex]\frac{dy}{dx} =\frac{d(x)}{dx}(x+1)-x^\frac{d(x+1)}{dx} \\ \\[/tex]
[tex]\frac{dy}{dx} =\frac{x+1-x}{(x+1)^2}[/tex]
[tex]\frac{dy}{dx}= \frac{1}{(x+1)^2}[/tex]
[tex]m=\frac{1}{(x+1)^2}[/tex] [tex][2][/tex]
Substitute equation [2] into equation [1]:
[tex]y=\frac{x-1}{(x+1)^2}+2[/tex] [tex][1.1][/tex]
Because the line must touch the curve, we may substitute [tex]y=\frac{x}{x+1}:[/tex]
[tex]\frac{x}{x+1}=\frac{x-1}{(x+1)^2}+2[/tex]
Solve for x:
[tex]x(x+1)=(x-1)+2(x+1)^2[/tex]
[tex]x^2+x=x-1+2x^2+4x+2[/tex]
[tex]x^2+4x+1[/tex]
[tex]x\frac{-4±\sqrt{4^2-4(1)(1)} }{2(1)}[/tex]
[tex]x=-2[/tex] ± [tex]\sqrt{3}[/tex]
[tex]x=-2[/tex] ± [tex]\sqrt{3}[/tex] [tex]and[/tex] [tex]x=-2-\sqrt{3}[/tex]
There are 2 tangent lines.
[tex]y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2[/tex]
and
[tex]y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2[/tex]
100 POINTS WILL MARK BRAINLIEST DONE BY 9:00 attachment included
Solve the linear equations below. Show ALL your work AND circle the type of solution you found! (10 points)
Answer:
1. No sol.
2. One Sol. x=4
3. One Sol. w=22 1/2
Step-by-step explanation:
1.
Group like terms:
4+3p=6p-3p+5
Add similar elements (6p-3p=3p):
4+3p=3p+5
Subract 4 from both sides:
4+3p-4=3p+5-4
Simplify:
3p=3p+1
Subtract 3p from both sides:
3p-3p=3p+1-3p
Simplify:
0=1
There is no solution.
2.
One Sol. x=4
Switch sides:
3x-2=10
Add 2 to both sides:
3x-2+2=10+2
Simplify:
3x=12
Divide both sides by 3:
3x/3=12/3
Simplify:
x=4
There is a solution.
3.
One Sol. w=22 1/2
Subtract 7 from both sides:
2/3w+7-7=22-7
Simplify:
2/3w=15
Multiply both sides by 3:
3*2/3w=15*3
Simplify:
2w=45
Divide both sides by 2:
2w/2=45/2
Simplify:
w=22 1/2
There is one sol.
1. What is the surface area of the sphere below?
12 cm
Answer:
Using 3.14 for pi
SA =1808.64 cm^3
Using the pi button
SA =1809.557368 cm^3
Step-by-step explanation:
The surface area of a sphere is given by
SA = 4 pi r^2
We are given a radius of 12
SA = 4 pi ( 12) ^2
SA = 4 pi * 144
SA = 576 pi
Using 3.14 for pi
SA =1808.64 cm^3
Using the pi button
SA =1809.557368 cm^3
A committee of three men and two women can be formed from a group of nine men and eleven women in how many different ways.
Answer:
4620.
Step-by-step explanation:
The number of combinations of 3 men from 9
= 9!/(9-3)!3!
= 9*8*7/3*2*1
= 84 ways.
The number of combinations of 2 women from 11
= 11!/11-2)!2!
= 11*10/2*1
= 55 ways.
So the total number of ways of men and women in the committee
= 84*55
= 4620.
What number is halfway between
1.7 and 3.2 ?
Answer:
2.5
Step-by-step explanation:
i am not absolutely sure but according to me it is right
ANSWER:
2.45
Expalnation:
If you add/subtract 0.75 to the corrct side, you'll get 2.45.
3.2-2.45=0.75
2.45-1.7=0.75
Hence, this is the corrct answer.
Solve the equation −9f 2 + 153 = 0. Round to the nearest hundredth.
f = ±3.87
f = ±1.96
f = ±5
f = ±4.12
Answer:
Option D, [tex]f =[/tex] ± [tex]4.12[/tex]
Step-by-step explanation:
Step 1: Subtract 153 from both sides
[tex]-9f^2 + 153 = 0[/tex]
[tex]-9f^2 + 153 - 153 = 0 - 153[/tex]
[tex]-9f^2 = -153[/tex]
Step 2: Divide both sides by -9
[tex]\frac{-9f^2}{-9} = \frac{-153}{-9}[/tex]
[tex]f^2 = 17[/tex]
Step 3: Square root both sides
[tex]\sqrt{f^2} = \sqrt{17}[/tex]
[tex]f =[/tex] ± [tex]4.12[/tex]
Answer: Option D, [tex]f =[/tex] ± [tex]4.12[/tex]
On the coordinate plane below, what is the length of AB?
Answer:
Ok so i think you can just count it i dont know; edit : i counted, it turns out the answer is 15 :)
3v+4(v-2)= -29 solve for v
Answer:
v = -3
Step-by-step explanation:
1) Expand.
3v + 4v - 8 = -29
2) Simplify 3v + 4v - 8 to 7v - 8.
7v - 8 = -29
3) Add 8 to both sides.
7v = -29 + 8
4) Simplify -29 + 8 to -21.
7v = -21
5) Divide both sides by 7.
v = -21/7
6) Simplify 21/7 to 3.
v = -3
2. Mr. Karr resurfaced a sidewalk in the park that was 125.065 meters long. How is this number written in words? one hundred twenty-five and sixty-five hundred thousandths one hundred twenty-five and sixty-five thousandths one hundred twenty-five and sixty-five hundredths D. one hundred twenty-five and sixty-five tenths
Answer:
one hundred twenty-five and sixty-five thousandths
Step-by-step explanation:
The 125 part is simply one hundred twnty five.
The .065 has the 5 in the thousandths place, so it is sixty-five thousandths.
Answer: one hundred twenty-five and sixty-five thousandths
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for
full credit.
Answer:
The data is skewed left
Less than
Median is 22
mean is 20.2
Step-by-step explanation:
median: 15,16,18,19,22,22,22,22,23,23
mean: 15+16+18+19+(22x4)+(23x2)=
31+37+88+46=
68+134=202÷10=20.2
50 points each question. Please help. How do I solve?
Answer:
I'm not sure if it's correct
Solve for x:
AD bisects BAC
Okay What is the value of x?
Answer:
x=75
Step-by-step explanation:
99/66=1.5
30x1.5=45
30+45 =75
Please help!! Will give brainliest! :)
Answer:
f(-2) = -3
Step-by-step explanation:
Step 1. Find equation
Step 2. Plug (-2) into f(x)
m, rise/run = (-2-0)/(0-4) = -2/-4 = 1/2
b, y-intercept = (0, -2)
y = 1/2x - 2
f(-2) = 1/2(-2) - 2
f(-2) = -1 - 2
f(-2) = -3
If you want to cheat, simply look for x = -2 on the graph and see where it touches the line. Then match the y-value and BOOM: (-2, -3), f(-2) = -3
BRAINLIEST please if this helped!1. At the gym on Monday, Larry is told to up his weight on the bench-press by 15% from last week. Last week he was bench-pressing 200 pounds. How many pounds should he bench-press this week?
Answer:
300 lbs
Step-by-step explanation:
We know that Larry bench pressed 200 lbs last week, and that he is supposed to increase by 15%. We know that any number times one is that same numbers. That means a number that is increaseing has to be greater than 1. So, we have to convert 15% into a decimal. That is 0.15. That plus one is 1.15. Now we just have to multiply 1.15 with 200. We get 300.
Is there any people who can solve this question?
find the value of a and b in the given figure
Answer:
a = 60°
b = 3cm
Step-by-step explanation:
Congruent angles
Parallel/congruent sides
BRAINLIEST please if this helped!Answer:
a=120 b=3
Step-by-step explanation:
For A you use 180-60 so you will get 120 for answer.
For B line PQ is parallel to line SR so 3 will be the answer
One solution each is given for four quadratic equations. Assuming that each quadratic equation has two solutions, what is the second solution
for each equation?
I = - 4 + 51
I = 4 - 5
I = 5 + 4i
I = -5 - 4
I = 4 + 51
H
II
5 - 4
II
- 51
Reset
Next
Answer:
5+4i=4i+5
5i-4=-4+5i
-5i-4=-4-5i
Step-by-step explanation:
5+4i=4i+5
5i-4=-4+5i
-5i-4=-4-5i
Find the two that are the same with the terms swiched around and you get the answer.
simplify. giving brainliest :D
show steps in a simple way (not to long of an example ty :))
Answer:
- 3/2 x²y
Step-by-step explanation:
Multiply the numbers and constant separately.
constant means x any y.
( - 2/3 x ) ( 9/4 xy )
- 2/3 * 9/4 * x * xy
= ( - 2/3 * 9/4 ) * ( x * xy )
= ( - (2*9)/(3*9) ) * ( x²y )
= ( - 18/12 )* x²y
= - 3/2 x²y
Perform the given operation :
(1+5i) (5+3i)
Answer:
-10 + 28i
Step-by-step explanation:
Multiply the binomials ↓
1*5+3i+(5i*5)+(5i*3i)
Simplify ↓
5+3i+25i+15i²
Combine like terms ↓
5+28i+15i²
Now, since i is the square root of -1, i² (i times i) is equal to -1 ↓
5+28i-15
28i-15+5
28i-10
So the final ans is 28i-10hope helpful ~
How do I do this question?
Answer:
Step-by-step explanation:
you can think of it backwards,
-50 = 3x - 8y
x = 6y
X x 3 = 3x
6y x 3 = 18y
3x = 18y
18y - 8y = -50
10y = -50
y = -5
6 x -5 = -30
x = -30
Kevin and randy muise have a jar containing 52 coins. all of which are either quarters or nickels. the total value of coins is $6.40. how many of each coin do they have?
Answer:
19 quarters33 nickelsStep-by-step explanation:
For mixture problems, it is convenient to let the variable represent the quantity of the high-value contributor.
Here, we can let x represent the number of quarters. Then the number of nickels is (52-x), and the total value of the coins is ...
0.25x +0.05(52 -x) = 6.40
0.20x +2.60 = 6.40 . . . . . . . . simplify
0.20x = 3.80 . . . . . . . . . . . subtract 2.60
x = 3.80/0.20 = 19 . . . . divide by the coefficient of x
The number of quarters is 19. The number of nickels is 52-19 = 33.
Suppose that$ 7000 is placed in an account that pays 6% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
Answer:
1) 7420
2) 7865.5
Step-by-step explanation:
The Formula for Compound Intertst is Amout(rate/100+1)^number of years
7000(.06+1)^1
7000(.06+1)^2