Answer:
$595,808.11
Step-by-step explanation:
We assume the retirement account is intended to pay out $5000 per month for 25 years. The amortization formula can be used to find the required amount. The monthly payment A based on principal P with interest at annual rate r for t years satisfies the relation ...
A = P(r/12)/(1 -(1 +r/12)^(-rt))
P = A(12/r)(1 -(1 +r/12)^(-rt))
P = 5000(12/0.09)(1 -(1 +.09/12)^-300)
P = $595,808.11
The required nest egg is $595,808.11.
I need help plz
The mapping below represents all of the
points on a graph. Is the graph a function?
Determine what must be multiplied so that the expression below will have a common denominator. Use the backslash / to type in a fraction.
Answer:
Multiply the first fraction by [tex]\frac{x+4}{x+4}[/tex]
Multiply the second fraction by [tex]\frac{x-4}{x-4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}[/tex]
Required
Make the denominator equal
[tex]\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}[/tex]
Factorize the denominator
[tex]\frac{4}{x^2 - 4^2} + \frac{3}{x^2 + 4x + 4x+ 16}[/tex]
[tex]\frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)}[/tex]
Multiply the first fraction by [tex]\frac{x+4}{x+4}[/tex]
Multiply the second fraction by [tex]\frac{x-4}{x-4}[/tex]
[tex]\frac{x+4}{x+4} * \frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)} * \frac{x-4}{x-4}[/tex]
[tex]\frac{4(x + 4)}{(x - 4)(x + 4)(x + 4)} + \frac{3(x - 4)}{(x+ 4)(x + 4)(x - 4))}[/tex]
[tex]\frac{4(x + 4)}{(x^2 - 16)(x + 4)} + \frac{3(x - 4)}{(x^2 - 16)(x + 4))}[/tex]
The expression now have the same denominator
The flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same measure.) If the measure of the third angle of the triangle is 45° more than nbsp the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)
PLZ HELP FAST!!!!!!!!
Answer:
-6, -1, 4, -1
Step-by-step explanation:
If you plug it in thats what you get
2/3+1/4. Show me work
Answer:
11/12
Step-by-step explanation:
2/3 to 8/12
1/4 to 3/12
8/12+3/12=11/12
Answer:
11/12
Step-by-step explanation:
hi! let's start off by finding the LCM to find a common denominator for these fractions. the LCM of 3 and 4 is 12. so, we can look at what we need to multiply each denominator by to get 12.
3*4 is 12 and 4*3 is 12, so we have to multiply the first fraction by 4/4 (which is equivalent to 1) and we have to multiply the second fraction by 3/3.
this becomes 8/12 and 3/12, which are equivalent to their original forms.
now, we can add these by adding the numerators and keeping the denominators the same.
(8+3)/12
11/12
theres your answer!
Please help me! I’ll name you brainiest!!!
Answer:
80
Step-by-step explanation:
first, put in (5x-4) for the x in g(x).
g(f(x))=(5x-4)^2 -1
now, FOIL and simplify.
25x^2-40x+16-1
25x^2-40x+15
now, plug in -1 for x.
25(-1)^2-40(-1)+15
25+40+15
80
what is the slope of -1,3 and 3,15
Answer:
3
Step-by-step explanation:
What is an equation in standard form of the line that has x-intercept 1 and y-intercept 4?
Answer:
4x +y = 4
Step-by-step explanation:
The intercept form of the equation for a line is ...
x/x-intercept +y/y-intercept = 1
For the given intercepts, this is ...
x/1 +y/4 = 1
Multiplying by 4 gives the standard-form equation:
4x +y = 4
-12(23 – 17) - (-2) × 62
Answer:
52
Step-by-step explanation:
Simplify the following:
-12 (23 - 17) - -2×62
| 1 | 13
| 2 | 3
- | 1 | 7
| 0 | 6:
-126 - -2×62
-12×6 = -72:
-72 - -2×62
-(-2) = 2:
-72 + 2×62
2×62 = 124:
-72 + 124
-72 + 124 = 52:
Answer: 52
If m angle P = 85', which is a possible measure for Y?
OMZY = 80°
OmZY = 85°
OmZY = 100°
OmZY = 180°
Answer:c
Step-by-step explanation:
100° is a possible measure for m∠Y.
Hence, Option C is the correct option.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that,
In triangles ΔXYZ and ΔMPN
XY = MP and YZ = PN
XY=23 in. and MN=19 in.
Clearly
XY > MN
⇒ m ∠Y > m ∠P ...( since angle opposite to the greater side is greater )
And m ∠P = 85° ⇒ m ∠Y > 85°
Hence,
option (1) and option (2) are not correct as they are less than 85°.
Option 4 is also not correct as it cannot be possible in a triangle because 180° is the angle of a straight line.
Therefore, Option 3 should be the correct option correct option, 100° is a possible measure for m ∠Y.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
Four more than three times a number (x) is at least nineteen Inequality:
Answer:
x >= 5
(x is greater and equal than 5)
Step-by-step explanation:
4+3x >= 19
3x >= 19-4
3x >= 15
x >= 5
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hope it helps
Short Response What is the cost of 15 tomatoes?
HOME GROWN VEGETABLES
Cucumbers 6 for $2
Peppers 12 for $9
Tomatoes 6 for $4
Answer:
60
Step-by-step explanation:
15x4= 60
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Hello, I think you forgot to attach a picture
Step-by-step explanation:
When you're about ask a question there's a little thing that looks like a paper clip then you press that and attach your picture :)
please help !!
12x + 14 = 6x + 7 (+) 9x - 5 find the value of x
Answer:
x=4
Step-by-step explanation:
PLEASE ANSWER NEED QUICK ILL GIVE BRAINLISET
Answer:
A) y = 3x -2 is the answer
Step-by-step explanation:
The y-intercept is -2
The slope is going up 3 and right 1 which is 3/1 and 3 divide by 1 is 3.
Hope this helps and pls do mark me brainliest:)
juan reads 300 pages in 5 days and jose reads 150 in 3 days are these reading rates equivalent
Answer:
60 pages per day.
Step-by-step explanation:
300 ÷ 5 = 60.
Which expression is the result of factoring the expression below by taking out its greatest common factor?
4x^2+ 16x– 4 = ?
Answer:
Step-by-step explanation:
If you factor out the greatest common factor (4), your expression should be
4 (x^2 + 4x - 1)
Answer:
[tex]4(x^2+4x-1)[/tex]
Step-by-step explanation:
Solve w - 4b = 1 for w
4x + 7y - 6z + 6y - 9x like terms
Answer:
-5x + 13y - 6z
Step-by-step explanation:
Which values are two of the possible solutions to the equation?
Answer:
#1
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
did it on ed
What is the value of f(5) if f(3)=10 and the rate of change over the interval 3≤x≤5 is 15?(1 point
f(5)=40
f(5)=20
f(5)=5
f(5)=10
The average rate of change of [tex]f(x)[/tex] over 3 ≤ x ≤ 5 is
[tex]\dfrac{f(5)-f(3)}{5-3}=15[/tex]
Solve for [tex]f(5)[/tex]:
[tex]\dfrac{f(5)-10}2=15[/tex]
[tex]f(5)-10=30[/tex]
[tex]\boxed{f(5)=40}[/tex]
I need help with 20 please thank you.
Answer:
IM BACK!!!!
The answer is *DRUMROLLLLLLLL* B
jk
its 1 lol
Step-by-step explanation:
Plug in -8 to x and you end up multiplying -8 by 1/2 which is pretty simple but the Muhammad ibn Musa al-Khwarizmi guy invented Algebra, Gottfried Wilhelm Leibniz invented functions, and Brahmagupta of India invented addition, so thanks to them, you can solve this question. -8 times 1/2 is -4 and -4 plus 5 equals 1.
Hope this helps
To reduce laboratory costs, water samples from five public swimming pools are combined for one test for the presence of bacteria. Further testing is done only if the combined sample tests positive. Based on past results, there is a 0.007 probability of finding bacteria in a public swimming area. Find the probability that a combined sample from five public swimming areas will reveal the presence of bacteria. Is the probability low enough so that further testing of the individual samples is rarely necessary?
Answer:
Step-by-step explanation:
Given that:
The numbers of the possible public swimming pools are 5
From past results, we have 0.007 probability of finding bacteria in a public swimming area.
In the public swimming pool, the probability of not finding bacteria = 1 - 0.007
= 0.993
Thus;
Probability of combined = Probability that at least one public
sample with bacteria swimming area have bacteria
Probability of combined sample with bacteria = 1 - P(none out of 5 has
bacteria)
Probability of combined sample with bacteria = 1 - (0.993)⁵
= 1 - 0.9655
= 0.0345
Thus, the probability that the combined sample from five public swimming areas will show the presence of bacteria is 0.0345
From above, the probability that the combined sample shows the presence of bacteria is 0.0345 which is lesser than 0.05.
Thus, we can conclude that; Yes, the probability is low enough that there is a need for further testing.
When do you use the divergence test, comparison test, p test, geometric, integral, comparison, limit comparison, and alternating series?
Step-by-step explanation:
Divergence Test: use this when the limit as n approaches infinity of a sequence isn't 0.
If lim(n→∞) an ≠ 0, then an diverges.
(Note this only tests divergence, not convergence.)
P Test: use this when the series is a p-series.
For an = 1 / nᵖ, if p > 1, then the series converges. Otherwise, it diverges.
Geometric Test: use this when the series is a geometric series.
For an = a₁ (r)ⁿ, if -1 < r < 1, then the series converges. Otherwise, it diverges.
Integral Test: use this when the sequence can be easily integrated.
If ∫₁°° f(x) dx converges, then ∑₁°° f(n) converges.
If ∫₁°° f(x) dx diverges, then ∑₁°° f(n) diverges.
Comparison Test: use this when a sequence is similar to a p-series or a geometric series.
If bn > an and bn converges, then an converges.
If bn < an and bn diverges, then an diverges.
Otherwise, inconclusive.
Limit Comparison Test: use this when comparison test is inconclusive.
If an ≥ 0 and bn > 0, and lim(n→∞) an/bn > 0 and finite, then an and bn either both converge or both diverge.
Alternating Series Test: use this when the series is alternating. This usually includes (-1)ⁿ or (-1)ⁿ⁺¹, but might use trig functions instead.
If an = (-1)ⁿ bn or (-1)ⁿ⁺¹ bn, where bn ≥ 0, and if lim(n→∞) bn = 0, and bn is decreasing, then an converges.
(Notice this only tests for convergence, not divergence.)
What is the mean score what is the median of the score brookewood medical center
Step-by-step explanation:
The mean of a set a score is simply the average score.
To find the mean, simply sum the individual scores and divide by the total number of scores;
Mean of a set of score = [tex]\frac{Total scores}{Number of scores}[/tex]
Another way to find the mean is using:
Mean = [tex]\frac{summation of all f(x)}{summation of all the frequency}[/tex]
Multiply the frequency of each score with the score and divide by the sum of all of the frequency.
2. The median is the middle score;
Arrange the data set from the lowest to the highest, the median is the one that falls in the middle.
If there are two numbers find their sum and divide by 2.
Please help
Which of the following situations would not trigger a prepayment penalty on a
mortgage that has a prepayment clause?
A. Making scheduled payments
B. Refinance of the mortgage
C. Sale of a house before the mortgage is paid off
Ο Ο
D. Making additional payments on the mortgage
Answer:
making scheduled payments
Step-by-step explanation:
find the value of the derivative at the indicated point. f(x)=2+3cosx, (π,-1)
Answer:
0
General Formulas and Concepts:
Derivative is the slope of the tangent line
Derivative of a constant = 0Derivative of cos(x) = -sin(x)Step-by-step explanation:
Step 1: Write function
f(x) = 2 + 3cos(x) (π, -1)
Step 2: Solve
Find 1st Derivative: f'(x) = -3sin(x)Substitute: f'(π) = -3sin(π)Evaluate: f'(π) = -3(0)Multiply: f'(π) = 0Step 3: Define
f'(π) = 0 tells us that when x = π, the slope of the tangent line is 0.
PLZ HELP WILL GIVE BRAINLIEST
What is 1.03333... (3 repeating) as a fraction?
Answer:
1033
1000
Step-by-step explanation:
Multiple the numerator and the denominator both by 10 for every number that follows the decimal point
1.033 x 1000 = 1033
1 x 1000 1000
Which sentence contains a gerund phrase?
The goal of the class was learning how to use a computer keyboard.
Washing clothes regularly allows Annabelle to always have something clean to wear.
To sing with the Metropolitan Opera has been my dream throughout my life.
Troubled by the noise from the trains, Cole began to wear sound-muting headphones.
Answer:
its b
Step-by-step explanation:
i took the test
Answer: its b cause i took the test and got it right
