If Grayson begins saving $1,000 per month and makes 9% a year, compounded monthly, he will have $667,887 in retirement. Therefore, $667,887 is the correct number.
Future Value: What Is It?A financial notion known as future value (FV) gives a worth to an asset based on anticipated factors like future interest rates and cashflows. Knowing how much their money might be in five years, given an anticipated rate of return, may be helpful for an investor. Future value is the idea of taking the investment's current worth, adding anticipated development, and estimating what the investment is going to cost in the future.
To calculate the amount of money Grayson will have at retirement, we can use the formula for the future value of an annuity:
FV = Pmt x (((1 + r/n)^(n*t)) - 1) / (r/n)
where:
FV is the future value of the annuity (i.e., the amount Grayson will have at retirement)
Pmt is the monthly payment ($1,000 in this case)
r is the annual interest rate (9% in this case)
The number of annual increasing times is n. (12 for monthly compounding)
t is the number of years (20 in this case)
Plugging in the numbers, we get:
FV = 1000 x (((1 + 0.09/12)⁽¹²*²⁰⁾) - 1) / (0.09/12)
FV = $667,887.20
Therefore, Grayson will have $667,887 at retirement if he starts saving $1,000 per month and earns 9% a year, compounded monthly. Therefore, the answer is $667,887.
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A car is traveling at a rate of 10 meters per second in a 20-mile-per-hour speed limit zone.
22.3694
Step-by-step explanation:
each mps is 2.23694 x 10 = 22.3694
The distance in meters, d, that Josefina walks over time in minutes, t, is given by this equation.
d=100t
How many meters does Josefina walk per minute?
Answer:
She walks 100 m in 1 minute
Step-by-step explanation:
Here, given the equation, we want to know the distance covered in a minute
From the question, the equation is;
d = 100t
so when t is 1
d = 100 * 1 = 100 m
Last August, the Martin family paid 75 for home owners association fee in February,they paid 54 what is the percent of decrease
Answer:
21% decrease
Step-by-step explanation:
just took 75 _ 54 and came up with 21 and juat added the % to it
rename the number 600,000
Answer:
if you're talking about renaming it in word form it would be a six hundred- thousand or is you're doing it in an equation its gonna be (6x10) x (10x1000)
Step-by-step explanation:
Which of the following are equations for the line shown below? Check all that apply.
A y-5=1.5(x-4)
B y-4=1.5 (x-5)
C y-2=1.5(x-2)
D y=1.5-1
Answer:
answer is d I think that makes more sense then other options
Find the range of f given the domain
= {-2, 0, 5, 9}
Answer:
The range to {-2, 0, 5, 9} is 11
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 9 − − 2 = 11 .
11
I hope this helps
During a period of extreme cold, the average daily temperature dropped decreased by 1. Feach day. How many days did it take for the temperature to
decrease by 9 F? Which equation would you use to find the solution?
Answer:
The answer is 9 days
Step-by-step explanation:
First, we realise
-1.F = 1 day
-9.F = 9 days
The -1.F times 9 gives us one so the days times 9 as well.
Answer = 9
Which set of ordered pairs represents y as a function of x?
Group of answer choices
{(0, 0), (1, 1), (1, 0), (2, 1)}
{(2, -1), (4, -2), (6, -3), (8, -4)}
{(1, -5), (1, 5), (2, -10), (2, -15)}
{(3, 3), (3, 4), (4, 3), (4, 4)}
{(2, -1), (4, -2), (6, -3), (8, -4)}
In this relation, each point has a unique x coordinate. None of the x coordinates repeat themselves.
For something like choice A, we have x = 1 repeated. The input x = 1 leads to multiple outputs (y = 1 and y = 0 simultaneously).
The same situation happens in choice C also. This time x = 1 and x = 2 repeat themselves.
Choice D has x = 3 and x = 4 repeat themselves.
A function is only possible if each x input leads to exactly one y output.
The Commutative and Associative Properties are valid or true in both
addition and multiplication.
A.True
B. False
Answer:
I think its Yes
ill give brainliest please help :(
Answer:
okay so god,dog,now,won,noon,doom,mood,not,ton,pool
Step-by-step explanation:
How do functions and slopes work i dont understand anything work?
If I multiply
number by 4 and then add 5
the answer is
8. Find this number
What is 30 ÷ 2334565
Answer:
In decimal form: 0.0000128503597
Other formats:
In scientific notation: 1.2850357x[tex]10^{-5}[/tex]
Answer:
0.0000128504
Step-by-step explanation:
per mycalculator
30÷2,334,565
In which pair of figures can Figure A be taken to Figure B by a rotatio
Answer:
Step-by-step explanation:
I don’t think you added a picture
Will mark BRAINLYLIST if you help plzzzzz!!!!!
1. blessing had 180 goats. She sold out of her
goods
to her dad.
a) How many goats did she sell?
b) How many goats does she have?
c) What Fractions of the goats are left?
Answer:
I think It's A. How many Goats Did She Sell?
Step-by-step explanation:
if she Sold Out of her goods To her dad. I am Thinking Of How many goats Are left.
what is 27x18= i dont know it
Help please help please
Answer:
A
Step-by-step explanation:
(PLEASE HELP ITS TIMED SLRGSRPGSRJMP;SXR)
Marie can find the volume of a cube by using the formula V = s ³, where s represents the side length of the cube. If Marie’s cube has a side length of 2 and 1/2 centimeters, what is the volume of her cube? Show your work. Write your answer as a fraction AND a decimal.
Answer:
8 x 4(7x) x^9
Step-by-step explanation
JUST TAKE THE ANSWER FSBXNFDCDWRGTCHVBHGFDCCFVGHGFVC VBHYREWSZEDXCFGTGVBHJUKJMK
Marcus is buying taco shells for a party. There will be 13 adults and 17 children
attending the party. He plans to make 3 tacos for each adult and 1 taco for each child.
There are 8 taco shells in each package. How many packages of taco shells will Marcus
need to buy in order to have enough tacos for the people attending the party?
A 7, because (13 x 3 + 17) + 8 = 7
B 28, because (13 x 17 + 3) = 8 = 28
C 80, because (13 + 17) x 8 = 3 = 80
D 15, because (13 + 17 x 4) + 8 = 15
Answer:
Tacos for adults: 13*3
Tacos for children: 17*1
Total: 39+17
=56
And in each package there will be 8 tacos
So, 56/8 = 7 = No. of tacos needed.
So the corrrect answer is A 7, because (13 x 3 + 17) + 8 = 7
What is the slope of this equation?y= -1/2x −3 Question 2 options: 0 -3 -1/2
Answer:
-1/2
Step-by-step explanation:
In the equation y=mx+b..
y and x are the coordinates that go into your function
m is the slope
and b is the y intercept
looking at y=-1/2x-3 i can tell that -1/2 is in the place of m which is slope, and -3 is the y intercept.
Determine if 0.7653765376537653 is rational or irrational and give a reason for your answer.
Answer:Yes it is a rational number
Step-by-step explanation: Because any number that repeats is rational <!>Brainiest Appreciated<!>
On what interval is the function h(x) = |x − 5| + 2 increasing? A. (2, ∞) B. (5, ∞) C. (-∞, 2) D. (-∞, 5)
Answer:
The user above is correct
B. (5, ∞)
Step-by-step explanation:
Correct on plato/edmentum test
The graph of the function h(x) = |x − 5| + 2 is increasing over the interval B. (5, ∞)
What is a function?A function is an expression that shows the relationship between two or more variables and numbers.
Given the function:
h(x) = |x − 5| + 2
From the graph of h(x), it is increasing over the interval B. (5, ∞)
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Sam invests a sum of money in a retirement account with a fixed annual interest rate of 7%
compounded quarterly. After 13 years, the balance reaches $19,280.02. What was the amount of
the initial investment? ROUND YOUR ANSWER TO THE NEAREST DOLLAR (do NOT put a dollar
sign $ in your answer)
Answer:
The initial amount of investment was $7,822
Step-by-step explanation:
The formula for compound interest, including principal sum is:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where
A is the future value of the investment/loan, including interestP is the principal investment amount r is the annual interest rate (decimal)n is the number of times that interest is compounded per unit tt is the time the money is invested or borrowed forLet us use this rule to solve the question
∵ Sam invests a sum of money in a retirement account with a fixed
annual interest rate of 7% compounded quarterly
∴ r = 7% = [tex]\frac{7}{100}[/tex] = 0.07
∴ n = 4 ⇒ compounded quarterly
∵ After 13 years, the balance reaches $19,280.02
∴ A = 19,280.02
∴ t = 13
Substitute these values in the rule above to find P
∵ [tex]19,280.02=P(1+\frac{0.07}{4})^{4(13)}[/tex]
∴ [tex]19,280.02=P(1.0175)^{52}[/tex]
→ Divide both sides by [tex](1.0175)^{52}[/tex]
∴ 7,821.99888 = P
→ Round it to the nearest dollar
∴ 7,822 = P
∴ P = $7,822
∴ The initial amount of investment was $7,822.
If a slice of pizza costs $1.50 and you get 5 slices, how much do you
pay?
Answer:
It cost $7.5 of five slice
Someone help me please with a step by step explanation pleaseeeeee?????
Answer:
2/3 of 45 is 30. 1/6 of 30 is 5 so 25. 2/5 of 25 is 20, so 15
Answer:
15 pieces of candy
Step-by-step explanation:
ok
45 / 3 = 15
15 x 2 = 30
she kept 30 pieces of candy
30 / 6 = 5
5 x 5 = 25
she had 25 pieces of candy after Monday
25 / 5 = 5
5 x 3 = 15
she had 15 pieces of candy after Tuesday
7 + ✓-25 what is the answer pls
Answer:
7 + 5i
Step-by-step explanation:
What is the square root of 25? Start by thinking about that.
Well, it's 5.
But because the 25 isn't positive, it's negative.
The square is 5i.
Then, you get 7 + 5i.
That can't be simplified any more, so that's your final equation.
Use the table below to determine the approximate height of the flag pole.
Help pls due tomorrow
Answer:
its b
Step-by-step explanation:
...........................
Answer:
B 17.5 ft
Step-by-step explanation:
tangent = opposite / adjacent
tan 35° = h / 25
multiply both sides by 25
h = 25 (tan 35°)
tan 35° = 0.70 (from your calculator)
h = 25 (0.70)
h = 17.51 ft.
Which equation describes the line with a slope of 2 that contains the point (-4,-4)
Answer:
2x-y=-4
Step-by-step explanation:
(y-y1) = m(x-x1)
m = 2
x1 = -4
y1 = -4
(y+4)=2(x+4)
y+4=2x+8
2x-y+4=0
Mr. Gaines is catering his company picnic. He will pay $18.45 for 3 people to eat the barbecue lunch. At this rate, how many people can Mr. Gaines afford to feed on a budget of $1,850.00
Answer: 300 people
Step-by-step explanation:
From the question, we are informed that Mr. Gaines is catering his company picnic and he will pay $18.45 for 3 people to eat the barbecue lunch. This means the cost per person will be:
= $18.45/3
= $6.15
For $1850, the number of people that Me Gaines can feed will be:
= $1850/$6.15
= 300 people