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?

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

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

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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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]

Answer:

1.275

Step-by-step explanation:

Answer:

51/40

= 1.275 in decimal

hoping help

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)

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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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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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]

X = 1 4 5 6

Y = 20 8 4 0

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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The number of positive integers is 24

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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Answer:

8.26 x 10^6

Step-by-step explanation:

Scientific notation mean multiply by 10 power

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.

Answer:

???????

Step-by-step explanation:

?????

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

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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The function relationship is a quadratic function

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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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.

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.

Answer:

Linear

Step-by-step explanation:

The line is relatively straight.

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

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.

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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Answer:

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

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

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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Answer:

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

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

Step-by-step explanation:

x^2=-6

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

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! :)

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

let

unknown number = n

= n + 1000

= 15%(n + 10000)

= 15/100(n + 10,000)

= 0.15(n + 10,000)

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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.

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

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 probability that number of credit cards is 0 is 0.61

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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Answer:

-1

Step-by-step explanation:

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