Sophia wishes to retire at age 65 with $1,700,000 in her retirement account. When she turns 28, she decides to begin depositing money into an account with an APR of 9% . What is the monthly deposit that Sophia must make in order to reach her goal? Round your answer to the nearest cent
if necessary.

Answers

Answer 1

Answer:

$1322.67

Step-by-step explanation:

Let the total amount that Sarah deposited be $x

using the annuity formula:

A=P[((1+r)^n-1)/r]

A=future value

r=rate

n=number of years

from the information given:

A=$500000

r=2.75%

n=65-42=23 years

p=$x

thus plugging our values in the formula we get:

500000=x[((1+0.0275)^(23)-1)/(0.0275)]

500000=31.50x

x=15,872.04883

She deposited 15,873.04883 per year

The monthly deposit will therefore be:

15873.04883/12=$1322.67

Answer 2

Answer:

$1322.67

Step-by-step explanation:


Related Questions

Temperature
(°F)
Chicago
-6
Orlando
71
Montreal
-18
Springfield
36
Fairbanks
-32
By noon, the temperature in Fairbanks had risen by 21 °F.
What was the temperature there at noon?
1 OF
(b)
How much higher was the 6 a.m. temperature in Orlando than in Chicago?
°F higher

Answers

Answer:

Fairbanks had a temperature of 11 degrees Fahrenheit at noon.

The 6 am temperature in Orlando was 77 degrees higher than in Chicago.

Step-by-step explanation:

77 degrees higherrrrrrrrrrr

If Susie finished her lunch at 1 PM and it took her 45 minutes to eat what time did she start eating lunch

Answers

12:15

Step-by-step explanation: 45+15=60

There a 60 minutes in an hour

I hope that helped

find the area pls i need it

Answers

Answer:

521 mm²

Step-by-step explanation:

Hi there !

A = Asemicircle + Atrapeze

Asemicercle formula

r = d/2 = 20mm/2 = 10mm

Asc = π·r²/2

= 3.14·(10mm)²/2

= 3.14×100mm²/2

= 157 mm²

Atrapeze formula

At = (b + B)×h/2

= (20mm + 32mm)×14mm/2

= 52mm×7mm

= 364 mm²

A = Asc + At

= 157mm² + 364mm²

= 521 mm²

Good luck !

i’ll mark brainlest to whoever answers this question first! :)

Answers

Answer:

y=-3/4+1

Step-by-step explanation:

Goes three down, 4 right and intersects at 1 on y axis

Answer:

The answer is: y= -3/4x+1

If it's wrong than I'm sorry

The initial population of a town is 4,100​, and it grows with a doubling time of 10 years. What will the population be in 8 ​years?

Answers

The answer :

3280

The explanation:

4100 = 10 years

____= 8

4100 /10= 410

410*8= 3280


Thx

a cyclist rides his bike at a rate of 40 kilometers per hour. what is this rate in miles per hour? how many miles will the cyclist travel in 5 hours? in your computations, assume that 1 mile is equal to 1.6 kilometers. do not round your answers.

Answers

Answer:

64 miles per hour; 320 kilometers in 5 hours

Step-by-step explanation:

take 1.6 multiplied by 40 and get 64 for the first question

then take 64 multiplied by 5 and get 320 for the second question

The essential difference between an experiment and an observational study is that:

a. Observational studies may have confounded variables, but experiments never do.
b. In an experiment, people must give their informed consent before being allowed to participate.
c. Observational studies are always biased.
d. Observational studies cannot have response variables.
e. An experiment imposes treatments on the subjects, but an observational study does not.

Answers

Answer: e. An experiment imposes treatments on the subjects, but an observational study does not.

Step-by-step explanation:

Experiment is scientific procedure that is undertaken by an individual or a researcher in order for the person to either make a discovery, or test a hypothesis.

Observational studies are the studies whereby the researchers just observe the impact of a treatment or risk factor e.g. cohort studies. In observational study, the researchers just collect data based on what they've either heard or seen and they've no control over such variables collected whole for an experiment, treatments are applied to a group and the effects are recorded.

You were 20 inches tall at birth, and 65 inches tall on your 10th birthday. Create a linear equation to
represent this situation. According to your equation, how tall will you be at age 20?

Answers

linear equation: y= 3.5x + 20

height at 20: 90in


Explanation-

linear equation:

x represents the number of years
y represents the height in inches

we’ll have the points
(0,20) height at birth
(8, 48) height at 8th birthday

to find slope you would do

m= (48-20)/(8-0)
= 3.5 inches/year

b would be 20

so y= mx + b would give you

y=3.5x + 20

if you add 20 into that equation you’d get

y= 3.5(20) + 20 = 90inch

y=90

How do you simplify the radical expression: √ 5 (3√ 5- 4√ 3)?

Answers

Answer:

[tex]15-4\sqrt{15}[/tex]

Step-by-step explanation:

[tex]\sqrt{5}\left(3\sqrt{5}-4\sqrt{3}\right)\\\\\mathrm{Apply\:the\:distributive\:law}:\\\quad \:a\left(b-c\right)=ab-ac\\\\a=\sqrt{5},\\\:b=3\sqrt{5},\:c=4\sqrt{3}\\\\=\sqrt{5}\times\:3\sqrt{5}-\sqrt{5}\times\:4\sqrt{3}\\\\=3\sqrt{5}\sqrt{5}-4\sqrt{5}\sqrt{3}\\\\Simplify\:\:\:3\sqrt{5}\sqrt{5}-4\sqrt{5}\sqrt{3} \: :15-4\sqrt{15}\\\\=15-4\sqrt{15}[/tex]

A certain electronic component manufacturing process produces parts, 20% of which
are defective. Parts are shipped in units of 400. Shipments containing more than 90 defective parts
may be returned. You may assume that each shipment constitutes a simple random sample of parts.

Answers

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

Use the properties of the parallelogram drawn to find m

Answers

Answer:

photo not clear

Step-by-step explanation:

try re-upload the question

(8x-20) (5x+37) apply angle theorem find x

Answers

Value of x = 19

(8x - 20) = (5x + 37)
3x = 57
x = 19

A penguin walks 10 feet in 6 seconds. how far does the penguin walk in 45 seconds EXPLAIN OR SHOW YOUR REASONING

Answers

Answer:

75 feet in 45 seconds

Step-by-step explanation:

*disclaimer*

dont know if this is how you were taught to do this but heres how i was:

[tex]6 sec /10 ft. = 45 sec / x[/tex]

Set this up as a proportion.

Then multiply 10 ft by 45 sec, and 6 sec by x

Your equation then simplifies to

6x = 450

x = 75

3. Each fime the team loses, they lose
7 points in the standings. Use the
expression below to show the total
number of points lost from their 5 losses.
581-7

Answers

Answer:

the expression you showed wasn't correct but I still something with the expression but I don't think is the correct answer

Step-by-step explanation:

=> {581}-{7}

=> {574}

=> 574

HELP ASAP ILL GIVE BRAINLIEST AND EXTRA POINTS

Answers

it going to be number three

the answer to this is x=1

PLEASE PLEASE HELP !

Answers

Answer: if you multiple 4.25 and 2 and that will be the answer you welcome

8-2(-4-7) not sure how to do this?

Answers

You always have to do what is inside the parenthesis first

-4 - 7 = -11

Next, you have to times that result with 2 (don't mind the negative/minus sign yet)

2 * (-11) = -22

8 - (-22) = 30

Answer = 30

2. What value of x makes the equation true? 1.7x - 7 = 1.2x +5 *
4.13
-4
24
2.9
I need help!

Answers

Answer:

24

Step-by-step explanation:

1.7x - 1.2x = 5 + 7

0.5x = 12

x = 24

solution of the line y − 2x = 6

Answers

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-2*x-(6)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve y-2x-6 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

B) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.

C) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.


D) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.

E) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.

Answers

[B] Circle the correct conclusion statement below:

The figure has horizontal line symmetry, but does not have vertical line symmetry.

The figure has vertical line symmetry, but does not have horizontal line symmetry.

The figure has BOTH horizontal and vertical line symmetry.

The figure has NEITHER horizontal or vertical line symmetry.

Answer = The figure has vertical line symmetry, but does not have horizontal line symmetry.

Explanation: Base on the given you can see that the letter 'A' is vertical cut into equally but not horizontal

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

C) Circle the correct conclusion statement below:

The figure has horizontal line symmetry, but does not have vertical line symmetry.

The figure has vertical line symmetry, but does not have horizontal line symmetry.

The figure has BOTH horizontal and vertical line symmetry.

The figure has NEITHER horizontal or vertical line symmetry.

Answer = The figure has horizontal line symmetry, but does not have vertical line symmetry.

Explanation: Base on the given you can see that the letter 'D' is horizontal cut into equally but not vertical

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

D) Circle the correct conclusion statement below:

The figure has horizontal line symmetry, but does not have vertical line symmetry.

The figure has vertical line symmetry, but does not have horizontal line symmetry.

The figure has BOTH horizontal and vertical line symmetry.

The figure has NEITHER horizontal or vertical line symmetry.

Answer = The figure has BOTH horizontal and vertical line symmetry.

Explanation: Base on the given you can see that the letter 'H' is equally cut in vertical and horizontal line symmetry.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

E) Circle the correct conclusion statement below:

The figure has horizontal line symmetry, but does not have vertical line symmetry.

The figure has vertical line symmetry, but does not have horizontal line symmetry.

The figure has BOTH horizontal and vertical line symmetry.

The figure has NEITHER horizontal or vertical line symmetry.

Answer = The figure has NEITHER horizontal or vertical line symmetry.

Explanation: Base on the given you can see that the letter 'J' is not equally cut in vertical neither horizontal.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Learn with Lenvy~

Mary works at the Elementary School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Elementary School. How far did Mary travel if she took the shortest route?

A. 32 miles
B. 36 miles
C. 64 miles
D. 96 miles

Answers

Answer:

D. 96 miles

Step-by-step explanation:

So, first, to get to the airport, we can take the shortest route, which is Elementary School to City Hall (21), then to High School (12), then to Airport (15).

This adds up to 48 miles.

Then, we go back to City Hall, through the High School, which is 27 miles (15+12)

Then, we go to the Elementary School from City Hall, which is 21 miles.

Add up all the miles and you get:

48 + 27 +21 = 96

Evaluate f(-3) if
f(x)=x^2+2x
Be sure to include f(x)=
due in 1 hour

Answers

Answer:

[tex]f(-3)=3[/tex]

Step-by-step explanation:

[tex]f(x)=x^2+2x\\\\f(-3)=(-3)^2+2(-3)\\\\f(-3)=9-6\\\\f(-3)=3[/tex]

Answer:

f(-3) = 3

Step-by-step explanation:

plug in -3 for x in the equation.

(-3)^2 + 2(-3)

9 + (-6)

9 - 6

3

you start at (2, 4). You move down 4 units and up 4 units. Where do you end?

Answers

Answer:

(2, 4)

Step-by-step explanation:

the same spot because 2 - 4 = -2, and the back up -2 + 4 = 2. we do not move left or right so there is no need to change the y value of 4

Answer:

(2, 4)

Step-by-step explanation:

We are given the points (2, 4) and we are told to move down four units, and then up 4 units. Since it's up and down not left and right it's telling us that we are moving the point on the y axis, which is the four, now all we have to do is subtract four units, and then add four more units on the y axis.

4 - 4 + 4 = 4

Leaving the points unchanged, your answer is "(2, 4)."

Hope this helps.

Help ASAP!!!!
Use vector operations to draw the resultant vector
Draw 2u – 1/3v.

Answers

Vectors are elements of the vector space, and they can be illustrated by diagrams.

How to draw the vector 2u - 1/3v

The vector expression is given as:

2u - 1/3 v

Split the vector expressions, as follows:

[tex]y_1 = 2u[/tex]

[tex]y_2 = -\frac13v[/tex]

See attachment for the graphs of y1 and y2.

Next, we have:

[tex]y = 2u - \frac13v[/tex]

So, we have:

[tex]y = y_1 + y_2[/tex]

The above expression means that, we add the vectors y1 and y2 to get vector y

See attachment for the graph of 2u - 1/3 v

Read more about vectors at:

brainly.com/question/14480278

Solve for c.

ab + c = 5

c = 5/ab
c = 5 - ab
c = 5 + ab

Answers

ab=0
c=5
Doble check it tho
C=5/ab is what I think the answer is

State the range of f(x) on this domain interval.

Answers

Answer:

The range of a function is the set of outputs of the function

on the graph, outputs of a function are on the y-axis. So we will see the highest and the lowest output of this function

From the graph, we see that the function has the outputs:

{0 , 1 , 2 , 3 , 4 , 5 , 6}

Therefore, this is the range of the function

I need help on this!

Answers

Answer:

A correctly shows the location of all the given values.

Step-by-step explanation:

The main difference can be found with the value -2 [tex]\frac{3}{4}[/tex]. This value would be less than -2 so the dot should be close to the middle line between -2 and -4.

Hope this helps~!

Answer:

A

Step-by-step explanation:

A) -4, -2 3/4, 1/2 , 1 1/4

B) -4, -2 1/4, 1/2 , 1 1/4

C) -4, -1 1/4, 1/2, 2 1/4

D) -4, -1/2, 1/2, 2 3/4

find the area of the shape A B C D
find the perimeter of the shape A B C D
find the area and perimeter of the shape DBC

Answers

Answer:

ABCD = 9cm²

BCD =7.5cm²

perimeter of abcd = 25.8cm

A motorcycle zoomed along the freeway, traveling 10 meters in 1/3 of a second . How fast was it going ?

Answers

Answer:

30m/sec

Step-by-step explanation:

v=s/t

given s= 10m

t=1/3 sec

v= 10/(1/3)=10×3/1= 30 m/s

Answer:

10 meters per 1/3 second equals

30 meters per second and multiplying this by 60 makes it

900 meters per minute or .9 kilometers per minute

multiplying this by 60 makes it

54 kilometers per hour

Step-by-step explanation:

Complete the reasons for the proof.
Given:
m<3 = m<4
To Prove:
<1, <2 are supplementary

Answers

2. 2 sides in a line

3. linear (or) supplementary

5. Vertically, equal

6.Substitution

7. alternate exterior angles

Answer:

see below

Step-by-step explanation:

1.  given

2.  adjacent sides in straight line

3.  definition of supplementary adjacent angles

4.  substitution

5.  opposite angles are equal

6.  substitution

7.  definition of alternate exterior angles

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