Grayson is behind on his retirement savings and wants to start saving $1,000 per month so he can retire in 20 years. If he earns 9% a year, compounded monthly, how much money will Grayson have to retire? $622,447 $667,887 $684,254 $724,333
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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Eloise bought 2 boxes of crackers to share with her friends. Her friends ate 12 of the first box and 23of the second box.
How many boxes were left over?
Answer:
how many are in one box?
Step-by-step explanation:
Answer:
5/6 box
Step-by-step explanation:
confirmed!
Name the line of reflection used to map each pre-image to its image.
Please help
Answer:
Step-by-step explanation:
From the picture attached,
9). When pre-image KLMN is a reflected across x = -2, we get image K'L'M'N'.
Therefore, line of reflection will be x = -2
10). In this picture line of reflection which passes through origin (0, 0) and slope = 1 will be,
y = x.
11). Since, all the points of image and preimage points are equidistant from x-axis, line of reflection will be x-axis or y = 0.
12). Line passing through midpoint of the line joining BB' will be the line of reflection.
Coordinates of B → (5, 3)
Coordinates of B' → (5, 7)
Coordinates of BB' → [tex](\frac{5+5}{2},\frac{3+7}{2})[/tex] → (5, 5)
Therefore, line of reflection will be y = 5.
13). Coordinates of G → (2, 5)
Coordinates of G' → (-2, 5)
Midpoint joining the segment GG' → [tex](\frac{2-2}{2},\frac{5+5}{2})[/tex] → (0, 5)
Therefore, line of reflection → x = 0
14). Line of reflection passing through (0, 0) and slope = -1
y = -x
What is the zero of f?
Answer:
be more specific
Step-by-step explanation:
For me to answer it
Which term describes this figure?
C°
Answer: Celsius
Step-by-step explanation: Scale based on 0° for the freezing point of water and 100° for the boiling point of water.
A weight-lifting machine has eight levels of difficulty. Level one is 25 pounds, and each additional level increases the weight by
five pounds. Which is an ordered pair from this situation?
Оа
Ob
ос
Od
(9,65)
(2, 10)
(8,65)
(3, 35)
Answer:(8,65)
Step-by-step explanation:
Because if you were to write this as an equation it would be 25+5x=y than you plug in each variables until determined true.
Lucy runs at an average speed of 3.5 miles per hour. John runs 2 miles per hour faster than Lucy. How far will John run (r) he runs x number of hours?
Answer:
It is 5.5 miles/hour if you are trying to figure out how fast john runs.
Step-by-step explanation:
if john run 2 mile/hour faster than lucy, you just have to add how fast lucy is running by 2. This will equal john's miles/hour. now you times 5.5 by how many hours he runs.
PLS ANSWER I GIVE BRAINLIEST What is the area of the square?
19a) x= ____
19b) Area of square is ____ units²
Answer:
x = 66/7 & area = 132/7
Step-by-step explanation:
7x-9=0
x=9/7
substitute value of x in 5x-3;
5(9/7)+3=66/7
Then, a*a,
thus, 2(66/7) = 132/7
Write the equation for the perpendicular bisector of the given line segment.
A) y = x + 1
B) y = -x + 1
C) y = -x + 3
D) y = -x + 4
Answer:
It would be c)
Step-by-step explanation:
Which one is the right answer?
Answer:
D
Step-by-step explanation:
First of all, i mean A and B are out first thing because you don't have enough information to find out if it's true.
C is incorrect because as stated before, not enough information.
However,
You know that the angles 1-8 are all supplementary, which means that 1 and 2 can be added to make 180 degrees, as so can 3 and 4, 3 and 1. 2 and 4, blah blah blah.
In D, the angles that are being added are supplementary, because the three lines making up that weird figure is adjacent and is parallel to each other.
If you give one of the angles a degree, you know that 180-x with x being that degree, will equal the other angle on the other side of the lines.
Therefore its D.
Edit:
I just realized that theres an angle stated at the top of the screen. Still with that angle given, A and B is incorrect and the answer is still D.
!brainlisest! Find the value of y in the diagram.
Answer:
y=8
Step-by-step explanation:
The two triangles are similar, but scaled to a ratio.
Given the ratio of two corresponding sides AC and NL, the scale is 10:5 which is 2. So, the side MN when scaled to the same ratio, the corresponding side's length y = 4*2 = 8 ft
what is Mark's age, x, is 6 times his age 2 years ago.?
Answer:
3
6 divided by 2 is 3
Answer:
undefined, not enough information
An employee worked 36 hours last week. This week, she worked 48 hours. Find the percent increase. Round to the nearest percent.
HELP FORE BRAINLIEST ASAP!!!
Answer:
33%
Step-by-step explanation:
*i rounded 1/3 ( 33.3 repeating )*
Jeremy bought 3.2 pounds of potatoes, 2.3 pounds
of oranges, and 2.7 pounds of onions. How many
pounds does his purchase weigh? What is the answer?
Answer:
8.2
Step-by-step explanation:
3.2+2.3+2.7=8.2
the bird is 40 ft in the aircan a squirrel buries acorns 3 ft below ground how far are they apart
Answer:
43 ft apart
Step-by-step explanation:
They are forty feet apart, because the bird is 40ft away from the ground, and then there is an extra 3 feet below the ground, so you add them up to get 43 ft
PLEASE HURRY, IT'S MISSING!!
Answer:
cant solve it
Step-by-step explanation:
20n + 100 greater than or equal to 320
Answer:
n greater than or equal to 11
Step-by-step explanation:
plz help will give brainliest
Answer:
true
Step-by-step explanation:
what is the answer to this 5 ( y + 8)
Answer:
ijsdbf
dsad
Stepdvds-by-step explanation:
d
Can anyone answer this ?
(1 + 3)• (8 - 4)
Answer:
16
Step-by-step explanation:
1+3=4
8-4=4
4x4=16
If a = 3 and b = -1, find the value of the following expression.
Answer:
The required answer is 54.
Step-by-step explanation:
Given that a = 3 and b = (-1) . And we have to find the value of 2a³ b⁴ .
In such kind of problems , just substitute the given values of a and b to get the required answer .
So here ,
= 2a³ b⁴.
= 2 × (3)³ × (-1)⁴.
= 2 × 27 × 1 .
= 54
9Answer:
54
Step-by-step explanation:
2(3)^3 x (-1)^4
2 x (3^3) x 1
2 x 27 x 1
54
help pls and ty ;-;..
btw brainly u should alow us to copy n paste questions.
Answer:
They cannot be ratios
Step-by-step explanation:
In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.
Answer:
cannot be ratios
Step-by-step explanation:
hope it helped bye <33
Select all the sequences of reflections that produce an image equivalent to the image r(180°, O)(△BCD).
Answer:
r(180°,0) is a rotation of 180° degrees over the origin.
Notice that this rotation moves our figure to the opposite quadrant (so a translation of two quadrants).
Then this is equivalent to:
A reflection over the x-axis followed by a reflection over the y-axis.
Or.
A reflection over the y-axis followed by a reflection over the x-axis.
There is another possible reflection, but it depends on where is our figure.
If the figure is in the first or third quadrant, a reflection over the line y = -x is equivalent to the rotation.
If the figure is in the second or third quadrant, then the reflection over the line y = x is equivalent to the rotation.
We can combine those two and write:
A reflection over the line y = (-1)^n*x.
Where n is the number associated with the quadrant where the figure is in.
The associative property works with expressions that use
А
division and subtraction.
B
addition and subtraction.
C
multiplication and division.
D
multiplication and addition.
pleaaase help me, it'll give you 50 points and i'll mark you as brainliest or whatever it's called.
Answer:
3/16
Step-by-step explanation:
What is an equation of the line that passes through the point (-3,-7)(−3,−7) and is parallel to the line 3x-y=53x−y=5?
Answer:
y = -3x-14
Step-by-step explanation:
Any line parallel to
y
=
−
3
x
+
6
will be in the form
y
=
−
3
x
+
c
for some constant
c
If
(
x
,
y
)
=
(
−
3
,
−
5
)
is a solution to such an equation, then replacing
y
with
(
−
5
)
and
x
with
(
−
3
)
gives
−
5
=
(
−
3
)
⋅
(
−
3
)
+
c
→
−
5
=
9
+
c
→
c
=
−
14
So the desired parallel line would have the equation
y
=
−
3
x
−
14
Monarch butterflies migrate from Canada to Mexico every fall. It is estimated that the butterfly travels about 82 km each day. Suppose the butterfly travels from Edmonton to El Rosario. This is a distance of about 3936 km. How many days does it take? How did you decide which operation to use?
Given:
Butterfly can travels = 82 km each day.
Total distance = 3936 km.
To find:
The number of day it takes to travel the given distance.
Solution:
Let the number of days it takes to travel be d.
Butterfly can travels about 82 km each day.
So, distance traveled by it in d days = (82d) km
Total distance is about 3936 km.
[tex]82d=3936[/tex]
To isolate d , we need to divide both sides by 82.
[tex]\dfrac{82d}{82}=\dfrac{3936}{82}[/tex]
[tex]d=48[/tex]
Therefore, the required number of days is 48.
N
Drag each division expression to the correct location on the table.
Solve each division problem, and classify it based on its quotient.
5
11
Reset
Next
Answer:
Step-by-step explanation:
1). [tex]8\frac{1}{4}[/tex] ÷ [tex]\frac{3}{4}[/tex]
= [tex]\frac{33}{4}[/tex] ÷ [tex]\frac{3}{4}[/tex]
= [tex]\frac{33}{4}\times \frac{4}{3}[/tex]
= 11
2). [tex]3\frac{1}{3}[/tex] ÷ [tex]\frac{10}{3}[/tex]
= [tex]\frac{10}{3}[/tex] ÷ [tex]\frac{10}{3}[/tex]
= [tex]\frac{10}{3}\times \frac{3}{10}[/tex]
= 1
3). [tex]\frac{5}{4}[/tex] ÷ [tex]\frac{1}{4}[/tex]
= [tex]\frac{5}{4}\times \frac{4}{1}[/tex]
= 5
4). [tex]\frac{25}{4}[/tex] ÷ [tex]6\frac{1}{4}[/tex]
= [tex]\frac{25}{4}[/tex] ÷ [tex]\frac{25}{4}[/tex]
= [tex]\frac{25}{4}\times \frac{4}{25}[/tex]
= 1
5). [tex]11\frac{1}{4}[/tex] ÷ [tex]\frac{9}{4}[/tex]
= [tex]\frac{45}{4}[/tex] ÷ [tex]\frac{9}{4}[/tex]
= [tex]\frac{45}{4}\times \frac{4}{9}[/tex]
= 5
6). [tex]3\frac{1}{7}[/tex] ÷ [tex]\frac{2}{7}[/tex]
= [tex]\frac{22}{7}[/tex] ÷ [tex]\frac{2}{7}[/tex]
= [tex]\frac{22}{7}\times \frac{7}{2}[/tex]
= 11
Now we can classify the expressions by their quotients as 1, 5 and 11.
if B is the midpoint of AC, and AC = 8x-20, find BC
3X-1
Solve for x
X^2-2x+1=0
X=?
Answer:
(x-1)(x-1) x=1
Step-by-step explanation: