Maricopa's Success scholarship fund receives a gift of $ 115000. The money is invested in stocks,

bonds, and CDs. CDs pay 4 % Interest, bonds pay 5.3 % interest, and stocks pay 6.2 % interest.

Maricopa Success Invests $ 15000 more in bonds than in CDs. If the annual income from the

Investments is $ 6220, how much was invested in each account?

Maricopa Success invested $

in stocks.

Maricopa Success invested $

in bonds.

Maricopa Success invested $

in CDs.

Answers

Answer 1

Answer:

  $50,000 in stocks

  $40,000 in bonds

  $25,000 in CDs

Step-by-step explanation:

Let c represent the amount invested in CDs. Then the amount invested in bonds is (c+15000) and the amount invested in stocks is (115000 -c -(c+15000)) = (100000 -2c). The total interest earned is ...

  0.04c +0.053(c +15000) +0.062(100,000 -2c) = 6220

  -0.031c +795 +6200 = 6220

  -0.031c = -775 . . . . . . . . . . . . . . . subtract the left-side constants

  c = 25000 . . . . . . . . . . divide by the coefficient of c

  c+15000 = 40000 . . . . bonds

  100000 -2c = 50000 . . . . . stocks

Maricopa Success invested ...

  $50,000 in stocks

  $40,000 in bonds

  $25,000 in CDs


Related Questions

YES I WILL BE GIVING A BRANLIST
Which function has the greater rate of change? What is that value?

Answers

Answer:

To find the rate of change you use the formula, Y2-Y1/X2-X1.

Function A:

You can substitute in any two points. The points I will use are (0,0) and (1,1).

1-0/1-0

1/1

1

The rate of change for Function A is 1.

Function B:

The points I will use are (2,1) and (4,2).

2-1/4-2

1/2

The rate of change for Function B is 1/2.

Since 1 is larger than 1/2, Function A has a larger rate of change. The value is 1.

Hope this helps! :)

Can some one help quickly. Please show work

Answers

Answer:

-20

Step-by-step explanation:

48 divided by -3 is -16 but you round up since its high enough and it goes to -20

the perimeter of rectangle is 2x² + 4x - 4y. its length is (2x - 3y). find the breadth of rectangle

plz help fast plz plz​

Answers

Solution:

Perimeter = 2 (l + b)

2x² + 4x - 4y = 2 {(2x - 3y) + b}

2x² + 4x - 4y = (4x - 6y) + 2b

2x² + 4x - 4y - (4x - 6y) = 2b

2x² + 4x - 4y - 4x + 6y = 2b

2x² + 2y = 2b

(2x² + 2y)/2 = b

x² + y = b

Breadth = x² + y

How do you make chicken napoleon page 145

Answers

Let’s do this

1.
14/11 = h/15

h = 19.1 in

2.
5/a = 9/12

a = 6.7 ft

3.
3.7/6.5 = e/4.0

e = 2.3 m

4.
10/8 = s/13
s = 16.3 cm

6/8 = y/13
y = 9.8 cm

5.
n/70 = 53/88
n = 42.2 ft

o/70 = 90/88
o = 71.6 ft

6.
t/9.1 = 11.2/5.7
t = 17.9 in

e/9.1 = 9.6/5.7
e = 15.3 in

7.
u/48 = 43/74
u = 27.9 m

y/48 = 64/74
y = 41.5 m

8.
6.2/11.8 = t/10.1
t = 5.3 cm

o/10.1 = 16.0/11.8
o = 13.7 cm

9.
30/p = 13/8

p = 18.5 ft

10.
20/s = 12/15.5

s = 25.8 in

11.
l/46 = 125/75
l = 76.7 m

b/46 = 100/75
b = 61.3 m

12.
5.1/4.3 = r/9.8
r = 11.6 cm

n/9.8 = 2.7/4.3
n = 6.2 cm

use only the bony parts

I would really appreciate the brainliest for this!

In this exercise we have to use the knowledge of polygon areas to calculate the area of ​​each of the informed objects, so we have to:

1) [tex]h = 19.1 in[/tex]

2) [tex]a = 6.7 ft[/tex]

3) [tex]e = 2.3 m[/tex]

4) [tex]y = 9.8 cm[/tex]

5) [tex]o = 71.6 ft[/tex]

6) [tex]e = 15.3 in[/tex]

7) [tex]y = 41.5 m[/tex]

8) [tex]o = 13.7 cm[/tex]

9) [tex]p = 18.5 ft[/tex]

10) [tex]s = 25.8 in[/tex]

11) [tex]b = 61.3 m[/tex]

12) [tex]n = 6.2 cm[/tex]

Then each of the figures will have its own area formula that corresponds to:

1) For the rectangle we find that:

[tex]14/11 = h/15\\h = 19.1 in[/tex]

2) For the rectangle we find that:

[tex]5/a = 9/12\\a = 6.7 ft[/tex]

3)For the rectangle we find that:

[tex]3.7/6.5 = e/4.0\\e = 2.3 m[/tex]

4) For the triangle we find that:

[tex]10/8 = s/13\\s = 16.3 cm\\6/8 = y/13\\y = 9.8 cm[/tex]

5) For the triangle we find that:

[tex]n/70 = 53/88\\n = 42.2 ft\\o/70 = 90/88\\o = 71.6 ft[/tex]

6) For the triangle we find that:

[tex]t/9.1 = 11.2/5.7\\t = 17.9 in\\e/9.1 = 9.6/5.7\\e = 15.3 in[/tex]

7) For the triangle we find that:

[tex]u/48 = 43/74\\u = 27.9 m\\y/48 = 64/74\\y = 41.5 m[/tex]

8) For the triangle we find that:

[tex]6.2/11.8 = t/10.1\\t = 5.3 cm\\o/10.1 = 16.0/11.8\\o = 13.7 cm[/tex]

9) For the triangle we find that:

[tex]30/p = 13/8\\p = 18.5 ft[/tex]

10) For the trapezoid we find that:

[tex]20/s = 12/15.5\\s = 25.8 in[/tex]

11)For the triangle we find that:

[tex]l/46 = 125/75\\l = 76.7 m\\b/46 = 100/75\\b = 61.3 m[/tex]

12)For the triangle we find that:

[tex]5.1/4.3 = r/9.8\\r = 11.6 cm\\n/9.8 = 2.7/4.3\\n = 6.2 cm[/tex]

See more about areas at brainly.com/question/1631786

What is the next term in the sequence 58, 47, 36, 25,. ? –58 –8 14 69.

Answers

Answer:

14

Step-by-step explanation:

58, 47, 36, 25,. ?

Each term is 11 less than the preceding term

the term after 25 will be

25 - 11 = 14

HELP DUE IN 1 MINUTE 5x^3 + 20x^2-160x

Answers

5x(x-4)(x+8) should be ur answer

Which function has the graph shown below? *

a. f(x) = x² - 4
b. f(x) = x² + 4
c. f(x) = (x + 4)²
d. f(x) = (x - 4)² opps dont forget to change the sign​

Answers

Answer:

C

Step-by-step explanation:

yeah-ya......... right?

3x-8=3(1x-3)-2

whats the answer to that problem

Answers

Answer:

-3

Step-by-step explanation:

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

A t-shirt increased in price by 1/4. After the increase, it was priced at £65. What was the original price of the t-shirt?

Answers

Answer:

52

Step-by-step explanation:

Given:

1/4

Price at 65

Solution:

Let x be the original price

Based on the given conditions, formulate: [tex]x[/tex] ×[tex](1+\frac{1}{4} )=65[/tex]

Apply Multiplicative Distribution Law: [tex]x+\frac{x}{4} =65[/tex]

Multiply both sides of the equation by the common denominator: [tex]x[/tex]×[tex]4+\frac{x X4}{4} =65 X 4[/tex]

Reduce the fraction: x×4+x=65×4

Multiply the monomials: 4x+x=65×4

Combine like terms: 5x= 65×4

Calculate the product or quotient: 5x= 260

Divide both sides of the equation by the coefficient of variable: x = [tex]\frac{260}{5}[/tex]

Calculate the product or quotient: x = 52

get the result: x = 52

Answer: x = 52

A line that passes trough the point (7,3) with slope of -1 ( answer plesse I need help )

Answers

Answer:

Slope-Intercept Form:

The equation of a line in slope-intercept form is y=mx+b. Since we know that the slope is -1, the equation so far is y=-x+b. To find the value of b, substitute in the given point.

3=-7+b

Add 7 to both sides.

10=b

The equation of the line is slope intercept form is y=-x-10.

Point-Slope Form:

The equation of a line in point-slope form is y-y1=m(x-x1). Substituting in the given point and slope, the equation is y-3=-(x-7).

Hope this helps! :)

Answer:

y= -x + 10

Step-by-step explanation:

3 = -1(7) + b

3 = -7 + b

10 = b

Since the slope is -1, that means it's just -x

So y = -x + 10

Use the following figure to answer the questions. Isosceles trapezoids ABCD and WXYZ are similar to each other.



Determine which of the following statements are NOT TRUE for similar isosceles trapezoids ABCD and WXYZ. Select all situations that apply.

Answers

Answer:

Step-by-step explanation:

Answer:

AD is not parallel to BC -- they are going opposite directions

AD does not equal DC -- there is nothing saying that they are congruent in length

YX is not parallel to ZW -- they are going opposite directions

WILL GIVE BRAINLIEST
PLEASE HELP
(LINKS/WRONG ANSWERS/WANNA BE FUNNY ANSWERS/NO ANSWERS/. WILL BE REPORTED!!!

Answers

Just change -1/5 to a decimal and then plot them in the graph

can anyone please help me asap? thanks in advance.

1. In three minutes Alex typed 120 words. At this rate, how long would it take him to type a 4800 word assignment?

2. The ratio of the length to the width of the Canadian flag is 2:1. What is the width of a 50 cm long Canadian flag?

3. A bulk nut mixture is priced at $1.14 per 100 grams. How much is 600g of this mixture?

please show ur work for each. ​​

Answers

Answer:

1. 2 hours

2. 25cm

3. 6.84

Step-by-step explanation:

120÷3=40

4800÷40=120 so 2 hours

for the second one just divide 50 in half

for 3 just do $1.14×6

Answer:

1. 120 min

2. 25 cm

3. $6.84

Step-by-step explanation:

1. 120 words : 3min

multiply each side by 40 because 120 words times 4 is 4800 words

4800 words : 120min

2.   2 : 1 = length : width

multiply each side by 25 because 2 times 25 is 50 cm

50 cm : 25 cm

3. $1.14 : 100 grams

multiply each side by 6 because 100 grams times 6 is 600 grams

$6.84 : 600 grams



Sully built a shelf 8 5/8 inches wide for his DVD collection. If each DVD is 3/8 inches
wide, how many can he fit on the new shelf?

Answers

Answer:

23

Step-by-step explanation:

8 5/8 = 69/8

Each DVD is 3/8 inches

Ignore the denominators

We have 69 and 3

69 is 23 times bigger than 3, so 23 DVD's can fit

2 √7+3√7

can you guys give me the answer and explanation

Answers

Answer:

5[tex]\sqrt{7}[/tex]

Step-by-step explanation:

This is similar to collecting like term in algebra

2[tex]\sqrt{7}[/tex] + 3[tex]\sqrt{7}[/tex]

= (2 + 3)[tex]\sqrt{7}[/tex]

= 5[tex]\sqrt{7}[/tex]

Jessica and her brother collects stamps. When Jessica gives her brother 1% of her stamps, she has 2,475 stamps left. Calculate how many stamps Jessica had originally.

Answers

Answer:

2500

Step-by-step explanation:

2475 stamps is 99% of her original number of stamps.

SO,

[tex]2475 \div 99\% = 2500[/tex]

She originally had 2500 stamps

add xy+ 5yz - 2xz, 4yz + 3xy +5xz, xz +2xy + 3yz​

Answers

The answer is 6xy + 12yz + 4xz

HELP!!! IM CONFUSED

Answers

Answer:

2/3

Step-by-step explanation:

If we want to find the slope, the most easiest way to find the slope is to use 'Rise/Run'. Two points are given, lets use those points and find the slope.

=> We see that the rise is 2. So 2 will be our numerator,

=> We can also see that the run is 3. So 3 will be our denominator.

What do we get?

We get 2/3 as our slope. Therefore, B is our answer. Hoped I helped.

hi please help me with part b and can you see if i did a correctly pls?

Answers

a is right its 58

and in my opinion i think b would be 58*5=290 cents, since nickel is worth 5 cents.

but gotta check other people's answers

solve pls brainliest

Answers

1) No, because it is a repeating decimal

2) Yes, because it is neither terminating nor repeating

3) Yes, because it is a terminating decimal

4) No, because it is a repeating decimal

Represent the following expressions as a power of the number a (a≠0): (a^2*a^2*a^2)^3

Answers

The answer is a^18 following the law of indices

what is the correct Answer?!

Answers

Answer:

B

Step-by-step explanation:

2⁶

2⁶

then add the ⁶+³+⁶+³ =18

2¹⁸

A place kicker expects to make 75% of his field goal attempts this season.If he attempts 36 feild goals this season how many is he exspected to make? show your work

Answers

Answer:

27

Step-by-step explanation:

75 % of 36 is 27. The place kicker expects he that will make 27 field goals. 36 − 27 = 9 The place kicker expects that he will miss 9 field goals.

1428 rounded to the nearest thousandth

Answers

Answer:

1428- one is in the thousandth place

the number beside is lower than five so drop it and add zero to the end

1000 -is now your answer

Step-by-step explanation:

hope this helps if not then sorry goodluck and bye

The number 1428 to the nearest thousand is 1000.

When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Here, the question said the nearest thousand, so I had to look at the value in the hundred places which is 4 and less than 5.

Hence round the number down.

So,  1428 to the nearest thousand is 1000.

To learn more about rounding numbers visit:

brainly.com/question/27207159

#SPJ3

Guided Practice

Type your answer and then click or tap Done.
Use the ^ symbol (Shift+6 on the keyboard) to signify an exponent. For example, for 2 to the third power, enter 2^3.

Identify the quadratic term in the function.

f(x)=2x^2−3x+5

Answers

Answer:

2x^2

Step-by-step explanation:

Q:

identify the quadratic term in the function f(x)=2x^2-3x+5

A:

The quadratic term is 2x^2.

Answer:

2x2-3x-5=0

Step-by-step explanation:

(2x2 -  3x) -  5  = 0

Answer:

The quadratic term in the function is  

Step-by-step explanation:

Given : Function  

To find : Identify the quadratic term in the function ?

Solution :

The quadratic  form of the function is  

Where,  is quadratic term.

On comparing with given function,  

is the quadratic term.

Therefore, the quadratic term in the function is

Please complete this for me​

Answers

(-8x-7)(-x^2-10x+4)
8x^3+80x^2-32x+7x^2+70x-28
8x^3 + 87x^2 + 38x - 28

Simplify.

x2+2x−3/
x−4/
2x2+5x−3/
x^2−16



x2−x−12/2x−3

x2−5x−4/2x−1

x2+3x−4/2x−1

x2+x−12/2x−3

Answers

Answer:

x^2 + 7x- 3/x - 3/x^2 -16

Step-by-step explanation:

Key:  ( ^ ) means exponent

= x^2 + 2x- 3/x -2x^2 + 5x- 3/x^2 -16

= x^2 - 2x^2 + 2x+5x - 3/x- 3/x^2 -16

= x^2 - 2x^2 = -x^2

=  -x^2 + 2x + 5x- 3/x- 3/x^2-16

As you see you add 2x and the 5x and got 7x

= Answer : x^2 + 7x- 3/x - 3/x^2 -16

Answer:

I think the answer is x^2+3x-4/2x-1

What is the value of y=3x−1 when x=4?

Answers

Answer:

11

Step-by-step explanation:

y=(3 x 4)-1

y=12-1

y=11

Answer:

y = 11

Step-by-step explanation:

Substitute the value for x.

[tex]y=3x-1\\y=3(4)-1\\y=12-1\\y=11[/tex]

express the function graphed on the axes below as piecewise function

for x<-4
for x>2

Answers

Answer:

<--------o           o------------->

         -4           2

Step-by-step explanation:

Because the sign in the inequalities is only greater than/ less than (not equal to), we know that there is an open dot on x=-4 and on x=2.

From there, we shade the area on the graph that is true to the function.  So, we can test points.

First we will test x=-5

-5<-4  --> this is true, so we will shade to the left of x=-4

Now test x=0

0<-4  --> this is false

0>2  --> this is also false, so the area between the two open dots will not be shaded

Now test x=3

3>2  --> this is true, so we will shade to the right of x=3

ohmygod help
10, 10, 18, 18, 10, 5, 12, 13
Find the median and mean number of hours for these students.
If necessary, round your answers to the nearest tenth.

Answers

Step-by-step explanation:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The median is the middle value when a data set is ordered from least to greatest.

If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.

so, the mean value is

(10+10+18+18+10+5+12+13)/8 = 96/8 = 12

the median is first not clear when ordering the data set, as we have an even number of elements.

5 10 10 10 12 13 18 18

so, we have to take the mean or average between the 2 middle numbers : 10 and 12.

(10+12)/2 = 22/2 = 11

the median is 11.

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