Julián just retired, and has $800,000 to invest. A very safe Certificate of Deposit (CD) account pays 2.5%, while a riskier bond fund pays 5% in interest. Julián figures he needs $36,000 a year in interest to live on. How much should he invest in each account to make enough interest while minimizing his risk?

Answers

Answer 1

An equation is formed of two equal expressions. Julian should invest $160,000 in CD and $640,000 in Bond.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the amount invested in CD be represented by x, while the amount invested in bond be represented by y. The total amount that Julian had is,

x + y = 800,000

x = 800,000 - y

The interest that Julian needs in a year is $36,000. Therefore, the total interest should be,

0.025x + 0.05y = 36000

0.025(800,000 - y) + 0.05y = 36000

20,000 - 0.025y + 0.05y =36,000

0.025y = 16,000

y = $640,000

Substitute the value of y

x + y = 800,000

x = $160,000

Hence, Julian should invest $160,000 in CD and $640,000 in Bond.

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Related Questions

The scale in the drawing is 2 cm : 5 m. Select from the drop down the correct numbers into the boxes to give the length, width, and area of the actual room.

Answers

The length, width, and area will be 25m, 15m, and 375m².

How to calculate the area?

From the information given, the scale in the drawing is 2cm : 5m and the length and width are given as 10cm and 6cm respectively.

Length = 10cm = 10 × 2.5 = 25m

Width = 6cm = 6 × 2.5m = 15m

Area = Length × Width

Area = 25 × 15

Area = 375m²

Therefore, the area is 375m².

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Given the quadratic equation: x^(2)+6=0, find all solutions for x

Answers

Answer:

[tex]x=i\sqrt6[/tex]

[tex]x=-i\sqrt6[/tex]

Step-by-step explanation:

x^2=-6

x=[tex]\sqrt-6[/tex]

Use finite differences to determine whether each relationship is linear, quadratic, or
neither.
x y
-5 17
-4 7
-3 1
-2 -1
-1 1

Answers

The function relationship is a quadratic function

How to determine the function type?

The function is given as:

x y

-5 17

-4 7

-3 1

-2 -1

-1 1

Remove the x values:

y: 17     7      1     -1      1

Calculate the difference between the consecutive y values

Difference: 10  6   2   -2

Because the first difference are not equal, it means that the function is not a linear function.

Calculate the difference between the above differences

Difference: 4   4   4

Because the second differences are equal, it means that the function is  a quadratic function.

Hence, the function relationship is a quadratic function

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Re-Write

51/40
as a decimal.

Answers

Answer:

1.275

Step-by-step explanation:

Answer:

51/40

= 1.275 in decimal

hoping help

Please help

Which quadrilaterals are not rhombuses?
Choose each correct answer.

Answers

Answer:1 and 3

Explanation:by definition a rhombus is parallelogram a with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.

The data in the tables below were collected from first year students at a community college. The variable is “number of credit cards.” Two of the probabilities are missing.

Number of credit cards 0 1 2 3 4 5
Number of students 122 40 28 2 2 6
Based on this data, we can estimate the probability that a randomly selected student has X number of credit cards using relative frequencies to create a probability distribution. Note: There are 200 students.

Number of credit cards 0 1 2 3 4 5
Probability 0.14 0.01 0.01 0.03
Use this information to answer the first two questions below.
What is P(0)? (Hint: Find the relative frequency for this outcome. There are 200 students in the data set.)

Answers

The probability that number of credit cards is 0 is 0.61

What is Probability ?

Probability is the likeliness of an event to happen ,

It has a range from 0 to 1 , where 0 indicates uncertainty while 1 indicates certainty

The data for the college students is given and it has been asked to determine P(0)

The total students are 200

and the students that have no credit card from the data is 122

Therefore

P(0) = 122/200 = 0.61

Therefore the probability that number of credit cards is 0 is 0.61

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How do you compute -3+9-7

Answers

Answer:

-1

Step-by-step explanation:

-3 + 9 = 6, 6 - 7 = -1

Ethan ran 3/4 miles. Megan ran 7/8 miles. How much further did Megan run? Answer in simplest form.​

Answers

Answer:

2/16 or 0.625

Step-by-step explanation:

Find a common denominator for the two fractions. It will be 16. 3/4=12/16

7/8=14/16 or you can do it in decimal form. 3/4=.25 and 7/8= .875

.875-.25=.0.625

[tex]\large\boxed{\frac{1}{8}\ \text{miles}}[/tex]

We need to subtract Ethan's distance from Megan's. First, we need to have a common denominator in the fractions.

Multiply both the numerator and the denominator in [tex]\frac{3}{4}[/tex] by [tex]2[/tex] to get [tex]\frac{6}{8}[/tex], which is equivalent. Now, both numbers have a denominator of [tex]8[/tex] and can be subtracted.

Now, simply subtract the numerators, leaving the denominator alone.

[tex]\frac{7}{8}-\frac{6}{8}=\frac{7-6}{8}=\boxed{\frac{1}{8}}[/tex]

Translate the following from words to an algebraic expression or equation, denoting the unknown by n.

15% of the amount by which a number exceeds 10,000

Answers

The translation from words to an algebraic expression, denoting the unknown by n is 0.15(n + 10,000)

Algebraic expression

let

unknown number = n

a number exceeds 10,000

= n + 1000

15% of the amount by which a number exceeds 10,000

= 15%(n + 10000)

= 15/100(n + 10,000)

= 0.15(n + 10,000)

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Perform the operation. 3/a^2b + 2/ab^2

Answers

The simplified form of the expression is 3b+2a/(ab)²

Sum of fractions

Fractions are written as a ratio of two integers. Given the expression below;

3/a^2b + 2/ab^2

Find the LCM

3/a^2b + 2/ab^2 = 3b+2a/a²b²

3/a^2b + 2/ab^2 = 3b+2a/(ab)²

Hence the simplified form of the expression is 3b+2a/(ab)²

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Question 22 of 25 Which inequality matches the verbal description? Marc is saving up for a computer. He has $250 saved already. To earn more, he works part-time at a job that pays $16 per hour. Let y represent the price of the computer he chooses, and let x represent the number of hours he works. To purchase the computer, he will need to save at least y dollars.
A. y≤ 250+ 16x
B. y≤ 16x-250
C. yz 250-16x
D. yz 250x + 16​

Answers

A) y which is cost of the computer needs to be less than or equal to the amount of money he is able to make. 16x represents how much money he earns per hour (x= # of hours) Marc already has $250, so you would add that to the amount of money he makes working. Therefore, it’s A.

Y=24-4x fill in the table using this function rule

X Y
1 ?
4 ?
5 ?
6 ?

Answers

X = 1 4 5 6

Y = 20 8 4 0

Mathematical Functions

From the function: Y = 24 - 4X

If X = 1, then Y = 24 - 4(1) = 20

If X = 4, then Y = 24 - 4(4) = 8

If X = 5, then Y = 24 - 4(5) = 4

If X = 6, then Y = 24 - 4(6) = 0

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Suppose that $7000 is placed in an account that pays 9% interest compounded each year. Assume that no withdrawals are made from the account.

Answers

Answer:

half question

Step-by-step explanation:

I'm sorry sir but I would like you to make sure if you have posted the whole question

thank you

help!! find the volume of the cone

Answers

Answer:

hi. 3.14multipled by 12 multipled by 21

........................

Answers

Answer:

???????

Step-by-step explanation:

?????

Consider functions f and g. What is the value of x when (g x f)(x) = 4

Answers

By applying the definition of functions and composition between two functions, we find that (g ° f) (x) = 4 when x is equal to 6. (Correct choice: B)

How to find the result of composition between two functions

Let be f and g functions, there is a composition of f in terms of g when the input of the former is output of the latter. Hence, we have the following relationships:

g(x):

- 2 → 4

f(x):

6 → - 2

By applying the definition of functions and composition between two functions, we find that (g ° f) (x) = 4 when x is equal to 6. (Correct choice: B)

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Work out the area of this triangle.
6 cm
11 cm
12 cm

Answers

Step-by-step explanation:

there is a right angle formed in this question

this leads us to Pythagoras theorem

Hyp²=opp²+Adj²

Hyp²=11²+6²

Hyp²=121+36

Hyp²=157

Hyp=√157

Hyp=12.529964086

Hyp=12.5

if I am right mark as brainliest but if you consider I am wrong then you can correct me, Everyone learns everyday I am glad I help

Which graph represents the equation x2 = 8y?

Answers

Answer:

The second graph.

Step-by-step explanation:

If you plug the equation into the desmos graphing calculator, you'll get the second graph.

Hope this helped! :)

{(4z-7,z-4,z) |z is any real number} z=-5

Answers

The set when z = -5 is {-27, -9, -5}

How to determine the set elements?

The set is given as:

{(4z-7,z-4,z) |z is any real number}

When z=-5, we have:

4z - 7 = 4(-5) - 7 = -27

z - 4 = -5 - 4 = -9

z = -5

So, we have:

{(4z-7,z-4,z) |z is any real number} ⇒ {-27, -9, -5}

Hence, the set when z = -5 is {-27, -9, -5}

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25. A wheelchair access ramp has an angle of elevation of 16°. If the ramp
reaches to the top of a 22 inch high porch, how long is the ramp?
79.82 in.
76.81 in.
73.82 in.
81.5 in.

Answers

Answer:

C. 76.81

Step-by-step explanation:

We must use one of the trigonometric ratios to find the length, L,  of the ramp.  If we use 16 as the reference angle, the 22 in would be our opposite side and the ramp length is the adjacent.

Therefore, we must use tan, which is [tex]\frac{opposite}{adjacent}[/tex]:

[tex]tan (16)=\frac{22}{L} \\\\L*(tan(16)=22)\\\\L*tan(16)=22\\[/tex]

[tex]\frac{L*tan(16)}{tan(16)}=\frac{22}{tan(16} \\\\L=79.815=79.82 in.[/tex]

The town of pratt has a population of about 8,260,000. express this number in scientific notation

Answers

Answer:

8.26 x 10^6

Step-by-step explanation:

Scientific notation mean multiply by 10 power

Faruq has a identical markers, b identical pencils, and no other writing utensils in his locker. How many different collections of writing utensils could Faruq bring to class if he doesn't want to show up empty-handed?

Your answer should be an expression, which might involve the variables a and/or b.

Answers

The number of different collections of writing utensils could Faruq bring to class if he doesn't want to show up empty-handed is ab + a + b

How to calculate the different collection of writing utensils?

Since Faruq has a identical markers, b identical pencils, and no other writing utensils in his locker and we require the number of collections or ways he could bring them to school without coming to school empty-handed, we use combination mathematics since order does not matter.

Now, Faruq can either come to school with one marker and one pencil or one pencil or one marker.

So, the combination for one marker and one pencil is n = a × b = ab

The combination for one marker is n' = a

The combination for one pencil is n" = b

So, the total combination is N = n + n' + n"

= ab + a + b

So, the number of different collections of writing utensils could Faruq bring to class if he doesn't want to show up empty-handed is ab + a + b

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Jason has exactly four wooden toy blocks with digits on them. Two of the blocks have the digit 0, one of the blocks has the digit 1, and one of the blocks has the digit 2. How many distinct positive integers can he form using one or more of the blocks, without using each block more than once?

Answers

The number of positive integers is 24

How to determine the number of positive integers?

The digits of the wooden toys are:

0, 0, 1, 2

Since each block cannot be used more than once, and there are four blocks in total;

The number of positive integers is;

Integers = 4!

Expand

Integers = 4 * 3 * 2 * 1

Evaluate

Integers = 24

Hence, the number of positive integers is 24

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Pls Help! Geometry
Find the area of the shaded region

Answers

Answer: 112.5 square cm

Step-by-step explanation:

The area of the rectangle is [tex](20)(9)=180[/tex] square cm.

The area of the white triangle is [tex]\frac{1}{2}(9)(20-3-2)=67.5[/tex] square cm.

So, the area of the shaded region is [tex]180-67.5=112.5[/tex] square cm.

A square has a perimeter of 24cm. What is the length of each side?

Answers

Quick process:

⇒ Square has  4 sides

⇒ We have been given that the perimeter is 24 centimeters

⇒ Each side is equal in value and each side added up together must equal 24.

⇒ So to finish this out we need to divide the given perimeter which is 2 4 by the amount of side a square has which is 4.

⇒ So 24/4 = 6

Check the answer:

6 + 6  = 12

12 + 12 = 24 √

Perimeter of a square =24cm

Formula=4s

So 4s=24

s=24/4

s=6

Therefore side of the square is 6cm.

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your heart beats 86 times per minute proportional or non proportional

Answers

I do not know just doing this for points sorry

By visual inspection, determine the best-fitting regression model for the
scatterplot,

Answers

Answer:

Linear

Step-by-step explanation:

The line is relatively straight.

Which description best compares the graphs given by the equations:
x - 5y = -5 and -5x - 25y = 25
a. parallel
b. perpendicular
c. intersecting but not perpendicular
d. None of the above.

Answers

x - 5y = -5, -5x - 25y = 25

First, you'll need to get the x variable by itself.

x - 5y = -5
   +5    +5
      x = 0
So x is plotted on the 0.

For the second part of the first equation, you'll be looking for what the y variable represents.

x - 5y = -5
-x           -x
    -5y = -5
      5      5
       y = 1
So y is plotted on the 1 on the vertical line above the 0.

For the first part of the second equation, you'll do the same thing as in the first equation.

-5x - 25y = 25
       +25   +25
         -5x = 50
           5      5
            x = 10
So the x for this equation is plotted on 10 on the horizontal line.

For the second part of the second equation, you will do the same thing as in the first equation.

-5x - 25y = 25
+5               +5
      -25y = 30
       25      25
           y = 1.2
So the y for the second half of the second question is plotted on 1.2 on the vertical line.

Answer: B) Perpendicular

Perpendicular means the lines may or may not be of equal length and they will not be perfectly in line with each other.

Parallel means the lines may or may not be of equal length but will be perfectly in line with each other.

Intersecting means the lines may or may not be of equal length but will touch each other.

Which graph shows the solution to this system of linear inequalities? y>2x+3 y<-2x-4

Answers

The graph that shows the solution to the given system of linear inequalities is shown below

Graph of Inequalities

From the question, we are to draw the graph that shows the solution to the given system of linear inequalities

The given system of linear inequalities is

y>2x+3

y<-2x-4

The graph that shows the solution to the given system of linear inequalities is shown below

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The lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years. What proportion of crocodiles live between 17.5 and 20.5 years?

Find the z-table here.

0.3147
0.4068
0.5932
0.6853

Picture posted below

Answers

Option B) is correct 0.4068  portion of crocodiles live between 17.5 and 20.5

The lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.

What is z-table?

Z-table is tabulated data that gives the information of value of  percentage of data.

standard deviation = 2.6 ;  mean (μ)= 18
lives between 17.5 and 20.5

x= (20.5+17.5)/2=19
Z = (X - μ) / σ
z=-(19-18)/2.6
z= 0.38

While compare it with the z table is gives 0.4068.

Thus the required value of Z = 0.4068

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