4-58. Lisa plans to retire on her 61st birthday. On her
22nd birthday, Lisa will start saving SA per year for
40 years. Starting on her 62nd birthday, Lisa plans on
withdrawing $10,000 and will continue these annual
withdrawals until the account is exhausted on her 85th
birthday. If Lisa's bank account pays 3% per year, what
annual amount of SA will Lisa need to invest in her bank
account to achieve her retirement goal? (4.10)​

Answers

Answer 1

Answer:

Lisa invest "$2180.81" in her bank.

Step-by-step explanation:

The given values are:

On Lisa's 62nd birthday,

she withdraw = $10,000

The annuity of $A will remain at 3 percent for 40 years. The retirement pension of $10000 lasts 23 years at rate percentage of 3 but begins 40 years later.

⇒  [tex]A\times (\frac{P}{A} ,3 \ percent,40) - 10000 (\frac{P}{A} ,3 \ percent,23)\times \frac{1}{(1.03)40} = 0[/tex]

⇒  [tex]A\times 23.1148 - 10000\times 16.4436\times 0.3066 = 0[/tex]

⇒  [tex]A = 10000\times 16.4436\times \frac{0.3066}{23.1148}[/tex]

⇒      [tex]= 10000\times 16.4436\times 0.0132[/tex]

⇒      [tex]=2180.81[/tex] ($)


Related Questions

What is x + x in the mathematics

Answers

Answer:

X+x =2x

Step-by-step explanation:

I think this ans may help you

Answer:

2x

Step-by-step explanation:

x + x also equals x times 2

Help ASSp please work out the value of A

Answers

Answer:

A = 3x^2 - 3

   ---------------

          2

Step-by-step explanation:

If the perimeter is 56 cm..

x - 1 + 3x + 3x + 1 = 56

7x = 56

x=8

The x - 1 side = 7

The 3x = 1 side - 25

The ex side = 24

The area of a triangle = base time height divided by 2.

So...

x-1 times 3x divided by 2 is your equation.

3x(x - 1) = 3x^2 - 3

A = 3x^2 - 3/2

Hope this is correct!!!

simplify 7/341 and give step by step explanation! I will mark you a brainliest.​

Answers

Answer:

it can't be simplified

Step-by-step explanation:

Yep. It cannot be simplified.



A road is 3/5
of a mile long. A crew needs to repave 3/7
of the road. How long is the section that needs to be repaved?
Write your answer is simplest form.

Answers

Answer:

9/35

Step-by-step explanation:

3/5 x 3/7

Geometric mean of 45 and 15​

Answers

Answer:

30

Step-by-step explanation:

[tex]\frac{45+15}{2}[/tex] equals 30.

Answer:

45 + 15 = 60 divided by 2 is 30

Write an expression to represent “7 less than 6 times a number n.”

Answers

Answer:

7 < 6n

Step-by-step explanation:

Answer:

6n-7

Step-by-step explanation:

7 Less = -7

6 x n = 6n

Combine an expression we get 6n - 7

A cup of beans costs N160. How much
would a similar tin, three times the height
and diameter, full of beans cost?​

Answers

Answer:

Below.

Step-by-step explanation:

The volume will be 3^3 = 27 times the volume of the small cup.

Answer is N160 * 27

= N4320.

The cost of a full of beans is N4320 if a cup of beans costs N160 and a similar tin, three times the height and diameter,

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We have:

A cup of beans costs N160.

Cost of volume of a small cup = N160

Let V be the volume of a similar cup

V = 3³ = 27

The cost = 27×160 = N4320

Thus, the cost of a full of beans is N4320 if a cup of beans costs N160 and a similar tin, three times the height and diameter,

Learn more about the volume here:

https://brainly.com/question/16788902

#SPJ2

to find the value of r, Stephen rewrites 3r - 18 = 27 as 3(r - 6) = 3(9). How could this help Stephen reason the value of r? Explain your reasoning.

PLZ HELP ASAP

Answers

Answer: See explanation

Step-by-step explanation:

We are informed that Stephen rewrites 3r - 18 = 27 as 3(r - 6) = 3(9). This is quite thoughtful of Stephen and it's an easier way to solve the question.

In this case, 3 is a common factor to 3r, 18 and 27. Therefore, we will then have: 3(r - 6) = 3(9).

Since 3 is a common base to both, we are more concerned with the values inside the brackets. This will be:

r-6 = 9

r = 9 + 6

r = 15

Check: 3r - 18

3(15) - 18 = 45 - 18 = 27

14) x - 27 0
3
X^3-27=0
X^3-27=0

Answers

Answer:

For the top equation, x = 27 (I think you meant to put x - 27 = 0. If not, I can always edit my answer for you)

For the bottom, x = 3

Hope this helps! Have a grrrreat day lol

x+y+x=22
a+a+x=28
y+2y+2a=38
2y*x*2a=?
there are no 0, negative number, or fractions
solve for all variables

Answers

x = 8
y = 6
a = 10
? = 1920

x + y + x = 22
8 + 6 + 8 = 22

a + a + x = 28
10 + 10 + 8 = 28

y + 2y + 2a = 38
6 + 2(6) + 2(10) = 38

2y * x * 2a =
2(6) * 8 * 2(10) = 1920

express (4+7i)(2-i) in the form a+ib​

Answers

(4+7i)(2-i)

multiply it out

8-4i +14i -7i squared

i squared is the same as -1

8-4i+14i-7(-1)

8+7-4i+14i

15+10i

divide by common factor which is 5 in this case

3+2i

When you graph two lines to a system what are the 3 possible outcomes?

Answers

Answer:

infinite solution, one solution, no solution

Step-by-step explanation:

hope this helped:)

Find the area of the triangle.
3 yd!
2.
12 yd
The area of the triangle is
square yards.

Answers

Area is 18 yards hoped this help

5 - x/3 for x = -3

Evaluate the expression

Answers

The answer is 6. When x is -3 then you divide -3 by 3 and the quotient is -1. So 5-(-1) is also equal to 5+1 which equals 6

HELP NOW PLEASE!!!!! I will give 100 points to whoever will answer this question first

Answers

Answer:

D : 10 feet

Step-by-step explanation:

Hello I think I can help with this.

Now how I would do this given a multiple choice question is kind of use brute force with your given answers to find the solution.

So the formula for area is known as (L x W x H)

or (length x width x height)

Lets see what we are given.

We are given the length which is 12

We are also given the width which is 4 1/2

And if we multiply these we can find the surface area of the base of this rectangular prism so lets do that.

12 multiplied by 4 1/2

=

54

Alright so now we know the base of this rectangular prism is 54 ft²

Now we can start the brute force method. So we are trying to find the height in this problem since we already have the width and length and have worked that out. So now all we do is multiply what we found (54) by the possible answers until one of them gives us the answer 540 ft³.

NOW this is actually really easy because we got 54 as our answer to length x width and our total amount of area is 540.

So instead of brute force we can take an easier route and do 540 / 54 and get an easy answer of 10 which is option D :

10 feet

I hope this helps you understand this a bit better!

If you are confused or have any concerns / questions feel free to comment or message me :)

Answer:

Height = 540/(4.5*12) = 10 feet

Step-by-step explanation:

A color printer prints 23 pages nine minutes how many minutes does it take per page

Answers

Answer: 2 pages

Step-by-step explanation:

Answer:

2.55555555555555555555555555556

what is 445 + (67 x 958) x (3n - 31) x 67

Answers

Step-by-step explanation:

1

9

2

5

5

8

6

7

1

9

8

9

7

6

6

6

7

+

4

4

5

A classroom of students has their heights measured (in inches) for statistics investigation. The tallest student in the class is 71 inches tall. One student is assigned to record all the values. That student made a mistake when recording one of the values. When they meant to record the 71, they accidentally entered 711. What is the affect of this mistake on the median and IQR?

Answers

Answer:

This mistake has no effect on the median and IQR, since it will be an outlier.

Step-by-step explanation:

xth percentile:

If a measure is said to be in the xth percentile, it means that x% of the measures are smaller than it, and (100-x)% are larger.

Median:

The 50th percentile is called median.

Interquartile Range:

Difference between the 75th and the 25th percentile.

In this question:

Tallest student measures 71 inches, but with a mistake, it was accidentaly entered 711.

However, since the mean and the median are related to the percentiles, in the middle of the distribution, they wont be affected by an outlier such as this.

Emplea los signos <, > o =, según corresponda​

Answers

Answer:

1.≤

2.≤

3.≤

4.≤

5.≤

6.≤

Step-by-step explanation:

di po ko sure kung tama po yan

19 tens is the same
as
Count forward by fives.

Answers

19 tens is 190 but i don’t know what you mean by count forward by fives

This is the question I need the answer in 24 house or less please and thank u

Answers

Answer:

Vertex: (–9, 1)

Axis of Symmetry: x = –9

Step-by-step explanation:

x = 9 is the lowest point on the graph. This makes it the x-coordinate of the vertex and the axis of symmetry. Now count how many squares above the x-axis it is. It's 1 square above, right? This means the vertex is (–9, 1).

Hope this helps you. Have a great day!

Ani spent a total of $7.53 at a store. She bought some cereal for $3.67. She also bought 6 peaches.
If each peach cost the same amount, which equation can be used to find the cost of each peach, P?
A. P = $7.53-6
B. P = $3.67 6
C. P= $7.53 - ($3.67=0
D. P= ($7.53 - $3.67) = 6
E. P= ($7.53 + $3.67) = 6

Answers

Answer:

D

Step-by-step explanation:

It says she spent $7.53 at the store and she bought (SOME) cereal for $3.67

so we have to find how much the 6 peaches cost. To find it out we are going to have to subtract the cereal she bought from $3.67 and the money she wasted total so its going to be D.

Exit
Justin is going to the school dance. He went to the mall and bought two new shirts for $21.99 each and a new pair of dress shoes for $45.59. Which two operations would be used in order to figure out how much he spent at the store?
A. multiply and add
B. add and subtract
C. multiply and subtract
D. divide and add

Answers

Answer:

its letter A multiply and add

A) I believe is the correct answer

Pls help me with this

Answers

Answer:

the third one!

Step-by-step explanation:

Because it says, the SUM of the number, x (or z I can't really see it well) and 1/2, you must add those two together:

1/2 + x

Then it says those two numbers equal to 4, so it would look like this:

1/2 + x = 4

Because you are trying to isolate, and solve for x, you must SUBTRACT 1/2 from both sides of the equal sign:

1/2  +  x  =  4

-1/2            -1/2

1/2 minus 1/2 would result 0, so there would be x by itself. and 4 minus 1/2 would be 3 and a half ( 3  1/2), so x would be  3  1/2

x = 3 1/2

Hope this helped. If this is incorrect please specify so I can help :)


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

you add 1 to 5 and then you find y but on x you multiple t

Which is the correct factorization of x 2 - 10x -24? please tell me

Answers

Answer:

-2(5x+11)

Step-by-step explanation: you have to find the polynomial

Answer:

ufmmvfjyffvjjghjghncffgghjvdthvdfbn

What is the perimeter of the rectangle in the coordinate plane?


13 units

16 units

26 units

30 units

Answers

26 units is the answers for this questions. To find the perimeter, put a slash in each square. The only squares that will get 2 slashes is the corners

10+3+10+3= 26 units

the perimeter of the rectangle in the coordinate planes is 26 units

John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21° About how far does John ski down the mountain?

Answers

John will ski down the mountain 1285.37ft

how would i solve this?
i+i^2+i^3+i^4+i^5+i^6+i^7+i^8+i^9+i^10

please do a step by step process

Answers

Step-by-step explanation:

step 1. I assume i is imaginary

step 2. i^2 = -1, i^3 = -i, i^4 = 1, i^5 = I. . . . and so on

step 3. i - 1 - i + 1 + i - 1 - i + 1 + i - 1

step 4. the result is i - 1.

joey is making a poster for bike safety week. the diameter of circle A is 18 in. If the area of a circle B is 1/5 the area of Circle A what is the area of circle B?

Answers

Pi r Square:
Circle A’s area is 81pi.
Circle B’s area is 20.2pi, or about 63.42
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