Jodi infested 4400 less in account paying 4% simple interest then she did in the account paying 2% simple interest. at the end of the first year, the total interest from both accounts was $592 find the amount invested in each account​

Answers

Answer 1

9514 1404 393

Answer:

$8400 at 4%$12800 at 2%

Step-by-step explanation:

Let x represent the amount Jodi invested at 4%. Then x+4400 is the amount she invested at 2%. Her total interest is ...

  0.04x + 0.02(x +4400) = 592

  0.06x +88 = 592

  0.06x = 504

  x = 8400

  x +4400 = 12,800

Jodi invested $8,400 at 4% and $12,800 at 2%.


Related Questions

One bar of candy A and two bars of candy B
have 767 calories. Two bars of candy A and
one bar of candy B contain 775 calories. Find
the caloric content of each candy bar.

Answers

I'm not 100% sure, but imma have a go.

Answer:

a = 261; b = 253

Step-by-step explanation:

label candy bar A as a

label candy bar B as b

Make 2 equations.

2b + a = 767          (1)

b + 2a = 775          (2)

Solve for a in (1)

2b + a = 767          (-2b)

a = -2b + 767

Substitute for into (2)

b + 2( -2b + 767 ) = 775     (flip)

2( -2b + 767 ) + b = 775     (solve)

   −4b + 1534 + b = 775     (add b)

          -3b + 1534 = 775     (subtract 1534 from both sides)

                     −3b = −759   (divide both sides by 3)

                         b = 253

Substitute b into (1)

      a = -2b + 767              (substitute)

      a = -2 (253) + 767      (solve)

      a = -506 + 767           (add)        

      a =  261

Find the sum of these

Answers

Step-by-step explanation:

5x² - 8x + 2 + x² - 6x +3

= 6x²- 14x + 5

how can I subtract 9 2/5 - 8 4/5 ​

Answers

Answer:

0.6

Step-by-step explanation:

First make them into decimals so.

9.4 - 8.8 = 0.6

Step-by-step explanation:

okay so let's convert this from mixed to improper fraction

9 2/5= 47/5

8 4/5= 44/5

47/5-44/5= 3/5

Courtney made a 5.5 foot ramp
to help her dog get in her minivan.
If the back of her van is 3 feet
from the ground, what will be the
angle of elevation from the base of
the ramp to the van?

Answers

9514 1404 393

Answer:

  33°

Step-by-step explanation:

We assume the 5.5 foot measurement is the length of the ramp surface. It will be the hypotenuse of a right triangle with the 3 ft side opposite the angle of interest. The applicable relationship is ...

  Sin = Opposite/Hypotenuse

  sin(angle) = (3 ft)/(5.5 ft)

  angle = arcsin(3/5.5) ≈ 33.0°

The angle of elevation of the ramp is about 33°.

What is the Area of the right angle

Answers

Answer:

141.96

Step-by-step explanation:

The area or solution for the area of a triangle is base* height divided by 2 so what I did was 31.2cm as the base and 9.1 as the height and I multiplied them together and then I divided by 2! Hope this helped!

Determine if the representation below is an example of a function or not a function (1,3), (3,3), (4,5), (6,5), (7,7), (9,7)

Answers

Answer:

Yes.

Step-by-step explanation:

No x value is used twice.

Let A = {a, b, c}, B = {b, c, d}, and C = {b, c, e}. (a) Find A ∪ (B ∩ C), (A ∪ B) ∩ C, and (A ∪ B) ∩ (A ∪ C). (Enter your answer in set-roster notation.) A ∪ (B ∩ C) = (A ∪ B) ∩ C = (A ∪ B) ∩ (A ∪ C) = Which of these sets are equal? A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) (A ∪ B) ∩ C = (A ∪ B) ∩ (A ∪ C) A ∪ (B ∩ C) = (A ∪ B) ∩ C (b) Find A ∩ (B ∪ C), (A ∩ B) ∪ C, and (A ∩ B) ∪ (A ∩ C). (Enter your answer in set-roster notation.) A ∩ (B ∪ C) = (A ∩ B) ∪ C = (A ∩ B) ∪ (A ∩ C) = Which of these sets are equal? A ∩ (B ∪ C) = (A ∩ B) ∪ C (A ∩ B) ∪ C = (A ∩ B) ∪ (A ∩ C) A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C) (c) Find (A − B) − C and A − (B − C). (Enter your answer in set-roster notation.) (A − B) − C = A − (B − C) = Are these sets equal? Yes No

Answers

Answer:

(a)

[tex]A\ u\ (B\ n\ C) = \{a,b,c\}[/tex]

[tex](A\ u\ B)\ n\ C = \{b,c\}[/tex]

[tex](A\ u\ B)\ n\ (A\ u\ C) = \{b,c\}[/tex]

[tex](A\ u\ B)\ n\ C = (A\ u\ B)\ n\ (A\ u\ C)[/tex]

(b)

[tex]A\ n\ (B\ u\ C) = \{b,c\}[/tex]

[tex](A\ n\ B)\ u\ C = \{b,c,e\}[/tex]

[tex](A\ n\ B)\ u\ (A\ n\ C) = \{b,c\}[/tex]

[tex]A\ n\ (B\ u\ C) = (A\ n\ B)\ u\ (A\ n\ C)[/tex]

(c)

[tex](A - B) - C = \{a\}[/tex]

[tex]A - (B - C) = \{a,b,c\}[/tex]

They are not equal

Step-by-step explanation:

Given

[tex]A= \{a,b,c\}[/tex]

[tex]B =\{b,c,d\}[/tex]

[tex]C = \{b,c,e\}[/tex]

Solving (a):

[tex]A\ u\ (B\ n\ C)[/tex]

[tex](A\ u\ B)\ n\ C[/tex]

[tex](A\ u\ B)\ n\ (A\ u\ C)[/tex]

[tex]A\ u\ (B\ n\ C)[/tex]

B n C means common elements between B and C;

So:

[tex]B\ n\ C = \{b,c,d\}\ n\ \{b,c,e\}[/tex]

[tex]B\ n\ C = \{b,c\}[/tex]

So:

[tex]A\ u\ (B\ n\ C) = \{a,b,c\}\ u\ \{b,c\}[/tex]

u means union (without repetition)

So:

[tex]A\ u\ (B\ n\ C) = \{a,b,c\}[/tex]

Using the illustrations of u and n, we have:

[tex](A\ u\ B)\ n\ C[/tex]

[tex](A\ u\ B)\ n\ C = (\{a,b,c\}\ u\ \{b,c,d\})\ n\ C[/tex]

Solve the bracket

[tex](A\ u\ B)\ n\ C = (\{a,b,c,d\})\ n\ C[/tex]

Substitute the value of set C

[tex](A\ u\ B)\ n\ C = \{a,b,c,d\}\ n\ \{b,c,e\}[/tex]

Apply intersection rule

[tex](A\ u\ B)\ n\ C = \{b,c\}[/tex]

[tex](A\ u\ B)\ n\ (A\ u\ C)[/tex]

In above:

[tex]A\ u\ B = \{a,b,c,d\}[/tex]

Solving A u C, we have:

[tex]A\ u\ C = \{a,b,c\}\ u\ \{b,c,e\}[/tex]

Apply union rule

[tex]A\ u\ C = \{b,c\}[/tex]

So:

[tex](A\ u\ B)\ n\ (A\ u\ C) = \{a,b,c,d\}\ n\ \{b,c\}[/tex]

[tex](A\ u\ B)\ n\ (A\ u\ C) = \{b,c\}[/tex]

The equal sets

We have:

[tex]A\ u\ (B\ n\ C) = \{a,b,c\}[/tex]

[tex](A\ u\ B)\ n\ C = \{b,c\}[/tex]

[tex](A\ u\ B)\ n\ (A\ u\ C) = \{b,c\}[/tex]

So, the equal sets are:

[tex](A\ u\ B)\ n\ C[/tex] and [tex](A\ u\ B)\ n\ (A\ u\ C)[/tex]

They both equal to [tex]\{b,c\}[/tex]

So:

[tex](A\ u\ B)\ n\ C = (A\ u\ B)\ n\ (A\ u\ C)[/tex]

Solving (b):

[tex]A\ n\ (B\ u\ C)[/tex]

[tex](A\ n\ B)\ u\ C[/tex]

[tex](A\ n\ B)\ u\ (A\ n\ C)[/tex]

So, we have:

[tex]A\ n\ (B\ u\ C) = \{a,b,c\}\ n\ (\{b,c,d\}\ u\ \{b,c,e\})[/tex]

Solve the bracket

[tex]A\ n\ (B\ u\ C) = \{a,b,c\}\ n\ (\{b,c,d,e\})[/tex]

Apply intersection rule

[tex]A\ n\ (B\ u\ C) = \{b,c\}[/tex]

[tex](A\ n\ B)\ u\ C = (\{a,b,c\}\ n\ \{b,c,d\})\ u\ \{b,c,e\}[/tex]

Solve the bracket

[tex](A\ n\ B)\ u\ C = \{b,c\}\ u\ \{b,c,e\}[/tex]

Apply union rule

[tex](A\ n\ B)\ u\ C = \{b,c,e\}[/tex]

[tex](A\ n\ B)\ u\ (A\ n\ C) = (\{a,b,c\}\ n\ \{b,c,d\})\ u\ (\{a,b,c\}\ n\ \{b,c,e\})[/tex]

Solve each bracket

[tex](A\ n\ B)\ u\ (A\ n\ C) = \{b,c\}\ u\ \{b,c\}[/tex]

Apply union rule

[tex](A\ n\ B)\ u\ (A\ n\ C) = \{b,c\}[/tex]

The equal set

We have:

[tex]A\ n\ (B\ u\ C) = \{b,c\}[/tex]

[tex](A\ n\ B)\ u\ C = \{b,c,e\}[/tex]

[tex](A\ n\ B)\ u\ (A\ n\ C) = \{b,c\}[/tex]

So, the equal sets are:

[tex]A\ n\ (B\ u\ C)[/tex] and [tex](A\ n\ B)\ u\ (A\ n\ C)[/tex]

They both equal to [tex]\{b,c\}[/tex]

So:

[tex]A\ n\ (B\ u\ C) = (A\ n\ B)\ u\ (A\ n\ C)[/tex]

Solving (c):

[tex](A - B) - C[/tex]

[tex]A - (B - C)[/tex]

This illustrates difference.

[tex]A - B[/tex] returns the elements in A and not B

Using that illustration, we have:

[tex](A - B) - C = (\{a,b,c\} - \{b,c,d\}) - \{b,c,e\}[/tex]

Solve the bracket

[tex](A - B) - C = \{a\} - \{b,c,e\}[/tex]

[tex](A - B) - C = \{a\}[/tex]

Similarly:

[tex]A - (B - C) = \{a,b,c\} - (\{b,c,d\} - \{b,c,e\})[/tex]

[tex]A - (B - C) = \{a,b,c\} - \{d\}[/tex]

[tex]A - (B - C) = \{a,b,c\}[/tex]

They are not equal

how much greater is 620,000 than 62?​

Answers

Answer:

10,000

Step-by-step explanation:

620,000/62 = 10,000

4. Find PQ
N
Р
5x + 16
S
R.
9x - 32
Q

Answers

Answer on= 12

Step-by-step explanation:

The value of PQ in rhombus NPQR is 76 units.

The figure above is a rhombus.

Properties of a rhombus:All the sides are equal opposite angles are equalThe diagonal are perpendicular bisector of each other.

Therefore,

PQ = NR = NP = RQ

5x + 16  = 9x - 32

5x - 9x = -32  - 16

-4x = -48

x = -48 / -4

x = 12

PQ = 5(12) + 16 = 60  + 16 = 76 units

learn more on rhombus here: https://brainly.com/question/25278931?referrer=searchResults

For positive acute angles A and B, it is known that sin A = 8/17 and cos B = 24/25
Find the value of sin(A + B) in simplest form.

Answers

Answer:

Step-by-step explanation:

Here we use the SUM FORMULA:  sin(a + b) = sin a cos b + cos a sin b

sin(A + B) = sin A*cos B + cos A*sin B.  We are not given cos A or sin B and so must find them using the Pythagorean Theorem x^2 + y^2 = z^2.

Looking at sin A = 8/17, we see that the "opposite side" is 8 and the "hypotenuse" is 17.  Then (adjacent side) = √(17² - 8²) = 15; that is, the side adjacent to Angle A is 15.  Thus, cos A = 15/17 and sin A = 8/17.

We find sin B similarly.  cos B = (side adjacent to B)/25  =  24/25.  Therefore the side opposite B is √(25² - 24²) = 7.  Thus, sin B = 7/25 and cos B = 24/25.

Then sin (A + B) = sin A*cos B + cos A*sin B

                           = (8/17)*(24/25) + (15/17)(7/25)

Here there are two products of fractions.  This product (above) can be rewritten as

                                                    8(24) + 15(7)             (3)(64) + (3)(5)(7)

= sin A*cos B + cos A*sin B = --------------------------- = --------------------------

                                                            17(25)                         17(25)

Find the value of x in the triangle shown below 8 10

Answers

Answer:

x = 6

Step-by-step explanation:

pythagorean theorem

a^2 = c^2 - b^2

a^2 = 10^2 - 8^2

a^2 = 100 - 64

a^2 = 36

sqrt a^2 = sqrt 36

a = 6

CHECK:

6^2 + 8^2 = 10^2

36 + 64 = 100

yes.

write an exponential formula of the form f (t)= a×b^t to represent the following situation. assume t is in years. The beginning population is 27, 000, decreasing by 3.5% annually. f(t)=__________​

Answers

Answer:

[tex]f(t)= 27000 * 0.965^t[/tex]

Step-by-step explanation:

Given

[tex]a = 27000[/tex] -- initial

[tex]r = 3.5\%[/tex]

Required

The exponential equation

The exponential equation is

[tex]y =ab^t[/tex]

Where

[tex]b=1 -r[/tex]

We used minus, because the rate decreases..

So, we have:

[tex]b=1 -3.5\%[/tex]

[tex]b=1 -0.035[/tex]

[tex]b=0.965[/tex]

So:

[tex]y =ab^t[/tex]

[tex]y = 27000 * 0.965^t[/tex]

Hence:

[tex]f(t)= 27000 * 0.965^t[/tex]

which of the following is a example of a proportional relationship
*photo is down there
show proof for brainliest

Answers

Answer:

The third one

Step-by-step explanation:

You multiply x by 6 to get y. 1x6=6, 2x6=12, 3x6=18.

PLEASE HELP ASAP!!!! GOING TO GIVE 30 POINTS

Answers

Answer:

The second answer option

Step-by-step explanation:

Lmk if you need explanation

Jeremiah wants to send some of his shirts to a dry cleaner. he usually takes his clothes to Spot-Less Dry cleaners, where he pays $4.50 per shirt. He sees a sign at No Mess or Stress Dry Cleaners that says it's $21.00 to have 4 shirts cleaned. Which is the better deal?

Answers

answer:spot-less

Step-by-step explanation:

21.00 divided by 4 is 5.25 so you'd be payingmore at "no mess or stress dry"

What are the next 4 multiples of 4/8 in a fraction

Answers

Answer:

8/16, 12/24, 16/32, and 20/45

Step-by-step explanation:

Class intervals in a grouped frequency distribution are given as 4−11, 12−19, 20−27, 28−35, 36−43. Write the next two class intervals.
i) what is the each class interval?
ii) write the class boundaries of all classes?
iii) what are the class marks of each class?​

Answers

Answer:

{44-55}{52- 59 } are the last two interval s

Step-by-step explanation:

To get the class boundaries deduct 0.5 from the first number and add 0.5 to the second number = 4-0.5 = 3.5 = 11.5 + 0.5 = 11.5 = 3.5 -11.5 as in the fish class boundary .same for all other boundaries

Please Help!, Brainliest to whoever helps

Answers

B for sure!!!!!!!!!!!!!!!!!!!

pls help me and I will mark u as brainliest plsssss plsssss please answer momoo anyone

Answers

It’s B you wanna start at the foot of the ladder

A box of chocolates was shared evenly between 5 people. Each person received 4 chocolates.
How many chocolates were in the box?

Answers

Answer:

20

Step-by-step explanation:

5x4=20

plz give me a thx! IF I HELPED :)

true or false
1) m<1=50 degrees
2) m<2=130 degrees
3) y=26 degrees
4) x=4 degrees
5) m<1+m<3=180 degrees

Answers

Answer:

1. true

2. false

3. false

4. false

5. false

Step-by-step explanation:

Evaluate the following for f(x) = 3(2)^x

1. f (2) =

2. f (-1) =

3. f (10) =​

Answers

Answer:

1. f (2) = 3 x 2^x-1  

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

3. f (10) =​ 3 x 2^x/10

         

Step-by-step explanation:

Sara uses 9.3 pints of white paint and blue paint to paint her bedroom walls.
3/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?

Answers

Answer:2.65

Step-by-step explanation:

The answer is 2.65

What does not contribute to the destruction of the rainforest in Brazil? farming and ranching cutting down trees to sell the wood constructing a highway having heavy rains​

Answers

Answer:

heavy rains

Step-by-step explanation:

it makes the forest grow!!1!!1!!!!11111!1!!

LM is 3x, MN is 2x+2. M is the midpoint of LN. What is LM?

Answers

Answer:

1/2

Step-by-step explanation:

3x=(1/2)(2x+2)

3x=x+1

3x-x=x-x+1

2x=1

x=1/2

Pls help need help with answer b

Answers

Answer:

Field hockey has a higher variation of heights.

There is more of a difference between the different heights in field hockey.

What is the area of the square pictured here?
2 in.
2 in.

Answers

Answer:

4in

Step-by-step explanation:

To find area, you must multiply the given measurement.

2x2=4

Area= 4in

Answer: 4 in
Hope this helps:)

SOMEONE PLEASE HELP ME

There are 72 items on Ginny's bookshelf. of the items are hardcover books, 3 Imtia of the items are softcover books. 9 • The remaining items are DVDs. How many DVDs are on Ginny's shelf?​

Answers

Answer:

There are 60 dvds.

Step-by-step explanation:

72 - 3 - 9 = 60

The graph of a function is shown on the coordinate plane below.

Which statement correctly describes the function on a given interval?

Answers

Answer: D

Step-by-step explanation:

I did it

The statement that correctly describes the function is:

The function is decreasing and nonlinear from x = 4 to x = 11.

Option D is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

From the graph,

We see that,

The function is increasing and nonlinear from x = -7 to x = -4.

The function is constant and linear from x = -4 to x = 1.

The function is increasing and nonlinear from x = 1 to x = 4.

The function is decreasing and nonlinear from x = 4 to x = 11.

Thus,

The function is decreasing and nonlinear from x = 4 to x = 11.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

The chemical element einsteinium -253 naturally loses its mass over time . A sample of einsteinium-253 had an initial mass of 320 grams when we measured it. The relationship between the elapsed t, in days, and the mass,m(t), in grams left in the sample is modeled by the following function: M(t)=320•(0.125)^t/61.4 complete the sentence: the sample loses 87.5% of its mass every ___ days.

Answers

Answer: 61.4

Step-by-step explanation:

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