Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.
What is Compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given monthly income of Ron is $3,142.23
Ron is 25 years old and is retiring at the age of 65. so he has 40 years to contribute.
Total amount he contribute in 40 years paying 5.5% compounded monthly is given by
interest rate(r) = 0.055/12
time period = 40 years = 480 months
Principal amount = $314.223
Future value = [tex]P(\frac{(1+r)^{n}-1 }{r} )[/tex]
Substitute, we get,
= 3142.23 [tex].10(\frac{(1+\frac{0.055)^{12.40}-1) }{12} }{\frac{0.055}{12} }[/tex]
Thus, future value is $547074.681009.
After retirement his monthly income when he has $547074.681009 amount.
P = (A.i/2)/(1-(1+i/12)⁻ⁿ)
Putting values, we get,
P = (547074.68×0.55/12)/1-(1+0.055/12)⁻²⁴⁰
P = $3763.25
He will receive a monthly income of $3763.25.
But given he will need a monthly income of $4,123 for 20 years, which is not met by Ron.
So, the amount he needs to supplement his monthly income when he retires by (4123-3763.25)= $359.74
Hence, Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.
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Explain the steps to locate the average rate of change when two points are displayed on an exponential graph. -
Answer:
Explanation: The rate of change between two points on a curve can be approximated by calculating the change between two points. Let be the coordinates of the first point and be the coordinates of the second point. Then the formula giving approximate rate of change is
Step-by-step explanation:
calculating the change between two points.
Could you please help me?!
Answer:
Step-by-step explanation:
Facts to know :
-diagonals of rhombus are angle bisector so angle A is double 28
∡A = 28*2 = 56°
-opposite angles in a rhombus are congruent so angle A and angle C have the same measure
∡C = 56°
-the sum of angles in a rhombus is 360°
360 - 2*56 = 360-112 = 248
248 /2 = 124
∡B = ∡D = 124°
find the limiting value using L hospital
Answer:
-1
Step-by-step explanation:
The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.
d(log(x))/dx = 1/(x·ln(10))
d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))
Then the ratio of these derivatives is ...
lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x
__
At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.
d(-sin(x)cos(x))/dx = -cos(2x)
dx/dx = 1
so the limit is ...
lim = -cos(2x)/1
lim = -1 when evaluated at x=0.
_____
I find it useful to use a graphing calculator to give an estimate of the limit of an indeterminate form.
Lee earns $17.00 per hour at her job. How much money will Lee earn if she works for 4 hours?
Could somebody help n explain pls thx
Answer:
lines are perpendicular
Step-by-step explanation:
• Parallel lines have equal slopes
• The product of the slopes of perpendicular lines = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange the given equations into this form and extract the slope
3x - 2y = - 6 ( subtract 3x from both sides )
- 2y = - 3x - 6 ( divide through by - 2 )
y = [tex]\frac{3}{2}[/tex] x + 3 ← in slope- intercept form
with slope m = [tex]\frac{3}{2}[/tex]
----------------------------------
4x + 6y = 2 ( subtract 4x from both sides )
6y = - 4x + 2 ( divide through by 6 )
y = - [tex]\frac{4}{6}[/tex] x + [tex]\frac{2}{6}[/tex] , that is
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{1}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
--------------------------------------
[tex]\frac{3}{2}[/tex] ≠ - [tex]\frac{2}{3}[/tex] , then lines are not parallel
[tex]\frac{3}{2}[/tex] × - [tex]\frac{2}{3}[/tex] = - 1
Thus the lines are perpendicular to each other
Dave owns 15 shares of ABC Mining stock. On Monday, the value of
each share rose $2, but on Tuesday the value fell $5. What is the
change in the value of Dave's shares?
To travol tho
Write an expression to represent.
Answer:
15(2) + 15 (-5) . #45 drop
Step-by-step explanation:
Water flows through a pipe at a rate of 89 cups per second. Express this rate of flow in gallons per hour
Answer:
Step-by-step explanation:
that sucks
Answer:
Answer: 20025 gallons per hour
89 times 60= 5340 cups in one minute
5340 times 60= 320,400 cups in one hour
Convert 320,400 cups into gallons and you will get 20025.
Not positive if this is correct but it’s better than nothing lol
find the nth term of 1,6,11,16
Answer:
5n-4
Step-by-step explanation:
The rule of the sequence is 5n-4.
If n=1 then 5(1)-4=1 because 5x1=5 and 5-4=1
If n=2 then 5(2)-4=6 because 5x2=10 and 10-4=6
If n=2 then 5(3)-4=11 because 5x3=15 and 15-4=11
If n=2 then 5(4)-4=16 because 5x4=20 and 20-4=16
what is the mean number of cars owned by a family? Give your answer to 1 decimal place.
Answer:
Step-by-step explanation:
total # of families=15
families that own 0 cars=2
families that own 1 cars=5
families that own 2cars=4
families that own 3 cars=3
families that own 4 cars=1
so 2+5+4+3+1=15
total# of families/ sum of cars = 15/15=1
two friends A and b invest some money in a buisness in the ratio 13:12. they make a profit of 542600. How much should b receive as profit if the profit is proportional to the investment
Answer:
Step-by-step explanation:
Use the table to calculate the slope and y-intercept, then write the equation in slope intercept form.
Answer: y = (28/4)x + 4
Step-by-step explanation:
We'll be using 20, 144 (1) and 24, 172 (2) for this
slope = y2 - y1 / x2 - x1
slope = 172 - 144 / 24 - 20
slope = 28/4
y = mx + b
y = (28/4)x + b
We can then reduce 20, 144 by 4, 28
20, 144
16, 116
12, 88
8, 60
4, 32
0, 4
The y-intercept is when x = 0, so its 4.
Plug that into y = mx + b
y = (28/4)x + 4
hi! can someone please help me with these i’m confused on how to answer it
Answer:
Step-by-step explanation:
PLZ HELP ME WITH THIS ASAP
Answer: y= 9
Step-by-step explanation: x, y= 9
HELP ME PLEASE!!!!!!!!!!!!
Answer:
Your first equation y=1/2(1+0.3)^t is going to be growth
Your second equation y=0.3(0.95)^t is going to be decay
Your third equation y=((1+0.03)^1/2)^2t is going to be growth
your fourth equation y=200(0.73)^t is going to be decay
your last equation y=4(1/4)^t is going to be decay
Step-by-step explanation:
You can find this by graphing each of you equations on desmos
Answer:
Step-by-step explanation:
See attachment
expand and simplify
(x +3)(x+5)
Answer:
x² + 8x + 15
Step-by-step explanation:
(x +3)(x+5)
=> x² + 5x + 3x + 15
=> x² + 8x + 15
So, after simplifying, we can conclude that x² + 8x + 15 is our answer. Hoped this helped.
man to be honest there is a girl i really like should i tell her how i feel
Answer:
I think if you haven't hung out with her a lot, you should start hanging out with her, getting along, until you have built up courage to tell her you have feelings for her.
the length of 2/3 a rope is (4u-5) inches Express the total length of the rope in terms of u
Answer:
6u - 15/2 inches
Step-by-step explanation:
(2/3)rope = 4u - 5
multiply both sides by 3/2
rope = 6u - 15/2
ANSWER CORRECT FOR BRAINLIEST
Answer:
3 2 /5 ×3
change 3 2 /5 into an improper fraction
then you will get 17 /5
after that you say 17/5 ×3/1
=(17×3)/ (5x1)
=51/5 (51÷5)
=10.2/ 10 1/5
[tex]3 \frac{2}{5} \times 3 \\ = \frac{17}{5} \times 3 \\ = \frac{51}{5} \\ = 10 \frac{1}{5} [/tex]
Answer:[tex]10 \frac{1}{5} [/tex]
Hope it helps.
Do comment if you have any query.
I need help with this ASAP It will give you 55 points!!!!!!!
Mr. Smith charged Jill $320 for parts and $150 per hour for labor to repair her bicycle. If he spent 3 hours repairing her bike, how much does Jill owe him? Write an expression and show your work and answer.
Answer:A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour.
Step-by-step explanation:
had this question
48,000 is borrowed for 13 years. if the interest on the loan is 56,703.96, find the monthly payment
Answer:
130542
Step-by-step explanation:
FV=48000(2.7196)
FV=130542
YES I WILL MARK BRAINLIST:D
Sarah is going to the food truck with her friends. Hot dogs cost $2 and drinks cost $3. She has a total of $24 that she can spend. The equation 2x+3y=24 represents this scenario.
Determine the amount of hotdogs that can be purchased if Sarah orders 4 drinks.
Question 4 options:
4 hotdogs
7 hotdogs
6 hotdogs
5 hotdogs
Answer:
6 hotdogs
Step-by-step explanation:
:)
Can you help me plzzzzzzz
Answer:
Step-by-step explanation:u have to add x+6 = ur answer there u go
how many kilograms of pure water is to be added to 100 kilograms of a 30% saline solution to make it a 10% saline solution
Answer:
200 kg
Step-by-step explanation:
If w is the amount of water added, then the concentration of the solution is ...
salt/solute = 100(0.30)/(100 +w) = 0.10
30 = 10 +0.10w . . . . . simplify
20 = 0.10w . . . . . . . . subtract 10
20/0.10 = w = 200 . . . . divide by 0.10
200 kg of water must be added to dilute the solution to 10%.
I need help pls help me
Answer:
$1,270
Step-by-step explanation:
let x be the total amount of ice cream sold without tax
x + (x*0.0635)=21270
1.0635x=21270
x=20,000
so the amount he needs to send to state is
21270-20000
1,270
Total cost of icecream without cost be x
[tex]\\ \sf\longmapsto x+0.0635x=21270[/tex]
[tex]\\ \sf\longmapsto 1.0635x=21270[/tex]
[tex]\\ \sf\longmapsto x=21270/1.0635=20000[/tex]
Amount to be paid
[tex]\\ \sf\longmapsto 21270-20000=1270[/tex]
Please help! This is due in 25 minutes!! Will give brainliest, 5 star rating, 10 points, and a thanks!!!!
Answer:
333
666
Step-by-step explanation:
333 / 9 = 37
666 / 9 = 74
yeah-ya...... right?
Answer:
333
Step-by-step explanation:
we see that all three digits are the same so heres a list of numbers it could be 222 333 444 555 666 777 and we know that numbers divisible by nine mean all the digits added up have to be divisible by nine and we can see that 333 equals 9 when the digits are added together so this is the answer.
PLEASE HELP GIVING BRAINLIEST
Answer:
x=16.9+34.6
x=51.5
.............................
- BRAINLIEST answerer
find the sum
(2x+6)+(4x-12)
HELp
Answer:
6x - 6
Step-by-step explanation:
(2x + 6) + (4x - 12) ← remove parenthesis
= 2x + 6 + 4x - 12 ← collect like terms
= (2x + 4x) + (6 - 12)
= 6x + (- 6)
= 6x - 6
Lucy has some number cards that each have a whole number on them.
If she chooses a card at random, the probability that the number on it is
even is
3/7
Work out the ratio of even cards to odd cards that Lucy has.
Give your answer in its simplest form.
PLEASE HELP BRAINLIST TO FASTEST AND CORRECT ANSWER
Answer:
Well lucy has a 50/50 chance to get a odd card so that is it
Step-by-step explanation:
The ratio of even cards to odd cards that Lucy has is 3:4 in its simplest form.
Let's denote the number of even cards as "x" and the number of odd cards as "y".
The probability of choosing an even card is given as [tex]\frac{3}{7}.[/tex]
The probability of choosing an even card is calculated by dividing the number of even cards by the total number of cards:
Probability of choosing an even card = Number of even cards / Total number of cards
Therefore, we have:
[tex]\frac{3}{7} = \frac{x}{x+y}[/tex]
To find the ratio of even cards to odd cards, we can set up the equation:
[tex]\frac{x}{y} = \frac{3}{4}[/tex]
Therefore, the ratio of even cards to odd cards that Lucy has is 3:4 in its simplest form.
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help me with this please
Answer:
12
Step-by-step explanation:
[tex]1/3(3)(12)[/tex]
The 1/3 and 3 cancel and you are left with
[tex]12[/tex]
