Answer:
Annual deposit= $3,474.39
Explanation:
Giving the following information:
You want to have $60,000 in your savings account 12 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. The account pays 6.4 percent interest.
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (60,000*0.064)/[(1.064^12)-1]= $3,474.39
plz mark brainly
What is the midpoint of the segment below?
(2,3)
(-3,-2)
O A. (2.5, 2.5)
O B. (5,5)
O C. (-0.5, 0.5)
O D. (0,0)
Answer:
C
Step-by-step explanation:
use midpoint formula
midpt = ((2 + (- 3))/2 , (3 + (- 2))/2) = (-0.5, 0.5)
You are going on a hike with 3 other people. You decide to divide the bottles of water evenly among the group. Write an expression to find the number of bottles each person will carry. Find the total number of bottles each person will carry if there are 16 bottles.
In the rectangle below,
Answer:
Step-by-step explanation:
In a rectangle, diagonals are equal and bisect each other
BE = AE
6x - 5 = 2x + 7
6x - 2x - 5 = 7
4x - 5 = 7
4x = 7 + 5
4x = 12
x = 12/4
x = 3
AE = 2x + 7
= 2*3 + 7
= 6 + 7
AE = 13
AC = 13 + 13
AC = 26
m∠EBC = 50
In rectangle, each angle is 90
m∠ABE + m∠EBC = 90
m∠ABE + 50 = 90
m∠ABE = 90 - 50
m∠ABE = 40
In rectangle, AB // DC and DB transversal
m∠ECD = m∠ABE { alternate interior angles}
m∠ECD = 40
Harry needs 21 square meters for every 6 wizard cloaks he makes
Answer:
Harry needs 21 square meters of fabric for every 6 wizard cloaks he makes then Equal ratios = 21/6 = 7/2 = 14/4. Step-by-step explanation: Complete Question is : Complete the table using equivalent ratios.
Step-by-step explanation:
How to simplify this equation?
Answer:
10/9 + [tex]\frac{1}{3} \sqrt{10}[/tex] i
Step-by-step explanation:
([tex]\frac{1}{3} \sqrt{5}[/tex] - [tex]\frac{1}{2} \sqrt{2}[/tex]i) ² =
([tex]\frac{1}{3} \sqrt{5}[/tex] )² + 2([tex]\frac{1}{3} \sqrt{5}[/tex] [tex]\frac{1}{2} \sqrt{2}[/tex])i - ([tex]\frac{1}{3} \sqrt{5}[/tex]i) ² =
5/9 + [tex]\frac{1}{3} \sqrt{5}[/tex] [tex]\sqrt{2}[/tex] i - (5/9. (-1)) =
10/9 + [tex]\frac{1}{3} \sqrt{10}[/tex] i
Please help it’s urgent!!!!
Use the Chain Rule to find the indicated partial derivatives. w = xy + yz + zx, x = r cos(θ), y = r sin(θ), z = rθ; âw âr , âw âθ when r = 4, θ = Ï2
Answer:
δw/δr = 4π
δw/δθ = -8π
Step-by-step explanation:
Given the following functions
w = xy + yz + zx, x = r cosθ y = r sinθ, z = rθ where r = 4 and θ = π/2
We are to find δw/δr and δw/δθ
δw/δr = δw/δx•δx/δr + δw/δy•δy/δr + δw/δz•δz/δr
δw/δx = y+z
δx/δr = cosθ
δw/δy = x+z
δy/δr = sinθ
δw/δz = y+x
δz/δr = θ
Substitute the given values into the formula
δw/δr = (y+z)cosθ+(x+z)sinθ+(y+x)θ
Substitute the value of x, y and z in terms of theta into the resulting function
δw/δr = (y+z)cosθ+(x+z)sinθ+(y+x)θ
δw/δr = (rsinθ+rθ)cosθ+(rcosθ+rθ)sinθ+(rsinθ+rcosθ)θ
Substitute r = 4 and θ = π/2
δw/δr = (4sinπ/2+4π/2)cosπ/2+(4cosπ/2+4π/2)sinπ/2+(4sinπ/2+4cosπ/2)π/2
Note that cos π/2 = 0 and sinπ/2 = 1
δw/δr = (4+2π)(0)+(0+2π)(1)+(4(1)+4(0))π/2
δw/δr = 0+2π+4π/2
δw/δr = 2π+2π
δw/δr = 4π
For δw/δθ
δw/δθ = δw/δx•δx/δθ + δw/δy•δy/δθ + δw/δz•δz/δθ
δw/δx = y+z
δx/δθ = -rsinθ
δw/δy = x+z
δy/δθ =rcosθ
δw/δz = y+x
δz/δθ = r
Substitute the given values into the formula
δw/δθ = (y+z)-rsinθ+(x+z)rcosθ+(y+x)r
Substitute the value of x, y and z in terms of theta into the resulting function
δw/δθ = (y+z)-rsinθ+(x+z)rcosθ+(y+x)r
δw/δθ = (rsinθ+rθ)-rsinθ+(rcosθ+rθ)rcosθ+(rsinθ+rcosθ)r
Substitute r = 4 and θ = π/2
δw/δθ = (4sinπ/2+4π/2)-4sinπ/2+(4cosπ/2+4π/2)4cosπ/2+(4sinπ/2+4cosπ/2)(4)
Note that cos π/2 = 0 and sinπ/2 = 1
δw/δθ = (4+2π)(-4)+(0+2π)(0)+(4(1)+4(0))(4)
δw/δθ = -16-8π+0+4(4)
δw/δθ = -16+16-8π
δw/δθ = -8π
Jackson's bakery sold 291 cheesecakes in one day. How much money did Jackson's bakery make in one day from cheesecakes?
If the graph of f(x) = is translated right 9.5 units and up unit, which function represents the resulting graph? g(x) = – 9.5 g(x) = + 9.5 g(x) = – g(x) = +
Answer:
the answer is d
Step-by-step explanation:
edenuity2020. also I just did it
3 1
-- + -- =
4 8
Pls answer quickly
Answer:
79
Step-by-step explanation:
Solve seven and five ninths minus three and nine elevenths.
( Im giving extra POINTS and BRAINLIEST on this one!! 0v0 )
A) three and seventy three ninety ninths
B) three and fifty five ninety ninths
C) four and fifty five twentieths
D) four and seventy three twentieths
(Here is an image if needed) :
It is 3 73/99
I just used a fraction calculator lol
Answer:
It is 3 73/99
FOR BRAINLIEST! which expression is the simplest form of - (4x^3+x^2) + 2(x^3-3x^2)?
A magazine costs 4.95 per month. If you buy a one year subscription, it's 30% cheaper. How much will you pay in one year with the discount?
Answer:
41.48/year
Step-by-step explanation:
4.95 x 12 = 59.40
59.40 × .30 = 17.82
59.40 - 17.82 = 41.48
A radio manufacturer believes that the length of life of WPPX model radio is normal with µ=12 years and σ=2.5 years. (a) What percent of the radios will function for more than 16 years? (b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X. (c) What percent of the radios that will fail to satisfy the guarantee period of 10 years? , i.e. less than 10 years? (d) If 10% of the radios will function for more than X years, find X.
Help, please!!
Answer:
(a) 5.48%
(b) 17.82 years
(c) 21.19%
(d) 15.21 years
Step-by-step explanation:
z = (x-μ)/σ,
where
x is the raw score
μ is the population mean
σ is the population standard deviation.
µ=12 years and σ=2.5 years.
(a) What percent of the radios will function for more than 16 years?
For x = 16
z = 16 - 12/2.5
z = 1.6
Probability value from Z-Table:
P(x<16) = 0.9452
P(x>16) = 1 - P(x<16)
1 - 0.9452
= 0.054799
Converting to percentage = 0.054799 × 100
= 5.4799%
Approximately = 5.48%
(b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X.
find the z score of the 99th percentile = 2.326
Hence:z = (x-μ)/σ
2.326 = x - 12/2.5
Cross Multiply
2.326 × 2.5 = x - 12
5.815 = x - 12
x = 12 + 5.815
x = 17.815
Approximately = 17.82 years
(c) What percent of the radios that will fail to satisfy the guarantee period of 10 years? , i.e. less than 10 years?
When x < 10
Hence,
z = 10 - 12/2.5
z = -0.8
Probability value from Z-Table:
P(x<10) = 0.21186
Converting to percentage
0.21186 × 100
= 21.186%
Approximately = 21.19%
(d) If 10% of the radios will function for more than X years, find X.
The z score would be : 100 - 10%
= 90th percentile z score
We find the z score of the 90th percentile = 1.282
Hence:z = (x-μ)/σ
1.282 = x - 12/2.5
Cross Multiply
1.282 × 2.5 = x - 12
3.205 = x - 12
x = 12 + 3.205
x = 15.205
Approximately = 15.21 years
helppppp please will give brainlist
Answer:
D or answer 4 y=-5/2x+7
Step-by-step explanation:
Well we can first start of by finding the y-intercept.
Note that when x=0, you can find your y-intercept.
Knowing this, and looking at the table, 7 is the y-intercept because when y=7, x=0.
So we can eliminate choices 'a' and 'c,' or answers 1 and 3, because they have the y-intercept as -7, when it's just 7.
Please know that in the equation:
y = mx + b
y = y-coordinate or any given point
mx = slope
b = y-intercept
Now we must find slope
To find the slope we need to do:
(y2 - y1) / (x2 - x1) or rise/run
The two coordinates I choose to use is (0, 7) and (6, -8).
(-8 - 7) / (6 - 0) = -5/2
-5/2 is the slope
Finally, look for an equation that has 7 as the y-intercept and -5/2 as the slope.
Answer: D or answer 4
Simplify the expression.
6(x+4)+1 =
Answer:
6x+25
Step-by-step explanation:
6(x+4)+1 =
Distribute
6x+24+1
Combine like terms
6x+25
Select the expression equivalent to (-133–15)-(-9x + 16).
А
4x - 31
B
--4x + 1
с
-4x - 31
D
-22x-31
PLEASE HELP URGENT WILL GOVE BRAINLIEST
Please help!
Thanks in advance.
Answer:
y = (1/4)x + 5/2
Step-by-step explanation:
The lines slope needs to be opposite of the equation's so its positive (1/4)
This is the only slope listed that is that number so no need to calculate for the y value!
Paul has $78 in the bank and saves $30 each week. What is the initial value? Be sure to use negative signs if needed.
Answer:
The initial value is $78
Step-by-step explanation:
Given
[tex]Base\ Amount = \$78[/tex]
[tex]Additional = \$30[/tex] (weekly)
Required
Determine the initial value
The initial value is the amount he has in its bank account before making his weekly savings.
From the question, we have that his initial balance is $78.
Hence, the initial value is $78
However, his weekly balance can be expressed as:
[tex]Balance = Base\ Amount + Additional * number\ of weeks[/tex]
Represent number of weeks with x; So, we have:
[tex]Balance = 78 + 30 * x[/tex]
[tex]Balance = 78 + 30 x[/tex]
4xº
(2x – 6°
33°
A. x= 31, y = 91
B. x= 31, y = 116
C. x = 56, y=91
D. x= 56, y = 116
WILL GIVE BRAINLIEST! 2 QUESTIONS FOR 6 POINTS +3 TO WHOEVER ANSWERS QUICKEST! AND THE HAVE A GOOD EXPLAINATION!
1: (THE PICTURE)
POSSIBLE ANSWERS:
Line A
Line B
Line C
Line D
2: The F-16 Fighting Falcon, a United States fighter jet, can travel 3680 miles in 4 hours. In miles per hour, what is the speed of the F-16?
POSSIBLE ANSWERS:
1. 900mph
1. 736mph
3. 460mph
4. 0.001086mph
5. None of the Above
Martin is an after-school math tutor. He noticed that 6 people still needed help and only Two-fifths of the tutoring session time was left. Since each person is to be given an equal amount of time, Martin wrote the expression below to find the fraction of the tutoring session each person who still needed help would be allotted.
Two-fifths divided by 6
Which expression is equivalent to Martin’s expression?
StartFraction 6 Over 15 EndFraction divided by 6
StartFraction 6 Over 5 EndFraction divided by 2
Five-halves times 6
Two-fifths times 6
Answer:
150
Step-by-step explanation:
Answer:
150 is the answer of 2/5 divided by 6
Step-by-step explanation:
Find 3 consecutive odd integers such that 10 times the first is 59 more than the third?
Answer: The required three consecutive odd integers are 7, 9 , 11.
Step-by-step explanation:
Let x , x+2 , x+4 be the three consecutive odd integers.
As per given ,
10(x) = 59+x+4
⇒10x= 59+x+4
⇒ 9x= 63
⇒ x= 7 [ divide both sides by 7]
Hence, the required three consecutive odd integers are 7, 9 , 11.
Jean paid $26 for a pair of pants and $19 for a blouse. How much more did she pay for the pants than for the blouse?
Answer:
$5 More
Step-by-step explanation:
$26 - $19 = $5
Answer:
She paid $7 more
Show me how to Graph y = 3x + 2
TRUE OR FALSE:
If 2x−5 = 13, then x=4
Answer:
False
Step-by-step explanation:
Add 5 to isolate varible to get 2x=18. Dived by 2 to get x=9.
What's 15/45 written as a fraction in simplest form
A. 3/15
B.13
C.53
D. 153
Answer:
None of the above
Step-by-step explanation:
15/45=1/3
Answer:
None of those options lol
Step-by-step explanation:
But the answer is 1/3
What is the solution of the proportion x−1/2 = x−4/5 ?
What is the slope of function 3x-5y=17
Answer:
y=5/3x-3.4
Step-by-step explanation:
slope is 5/3
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
In slope-intercept form of linear equation y = mx + b , "m" is the slope
3x - 5y = 17
- 5y = - 3x + 17
y = [tex]\frac{3}{5}[/tex] x - [tex]\frac{17}{5}[/tex]
m = [tex]\frac{3}{5}[/tex]