Sheila has investments totaling $8000 in two
accounts. The savings account pays 6% interest and the
other account is in bonds paying an interest rate of
11%. If the annual interest from the two investments
totaled $780, how much did she invest in each account?

Answers

Answer 1

The amount she invested in each account is:

$6,000 invested at 11%

$6,000 invested at 6%

Let x represent the amount invested at 11%

Hence:

.11x+.06(8000-x)=780

.05x+480=780

Collect like terms

.05x=300

Divide both side by .05x

x=300/.05

x=$6,000

Inconclusion the amount she invested in each account is: $6,000 invested at 11% and $6,000 invested at 6%.

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Related Questions

Mary finds 8 pine cones on a walk. She finds 3 more pine cones than bobby finds. How many pine cones does bobby find?

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Uhhhh uhhhhh I think it’s a 54 I think


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2x = 10

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Answer:

x = 17.331....

Step-by-step explanation:

Basically use Tan on the calculator to find x. Look up "soh cah toa" if you still dont understand what I am doing.

Tan(37) = opposite / adjacent = x / 23

x = Tan(37) (23)                    multiply by 23 on both sides to get this

x = 0.753.... (23)                   now multiply the tan value on the calculator

x = 17.331....

list the coordinate for both pairs.

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Answer:

Hi I hope this helps

A = X : -3 Y : -3

B = X : -2 Y : 1

Step-by-step explanation:

please let me know if it's right or wrong

-x^4+2x^3+8x=0. solve by factoring

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2.93114246

Step-by-step explanation:

Measure of 133 degrees rotated 180 degrees

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Answer:

313°

Step-by-step explanation:

Perimetre of rectangle is 256cm.it length is 3times as long as its breadth.find breadth or length.

Answers

length = 3 breadth

which means 256 = 8 breadth

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pls mark me as brainliest!


What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

Step-by-step explanation:

y coordinate

m = slope

x = x coordinate

b = y intercept

Someone PLZ answer this I willl give brainliest

Answers

Answer:

8

1

1/2

20

Step-by-step explanation:

hope helful plsgive brainliest

Answer:

[tex]\frac{1}{2}[/tex]  is the 3rd one  1 is the last one 20 is the first one  8 is the second one

Step-by-step explanation:

how to make h the subject in
m= r - h + 4d

Answers

9514 1404 393

Answer:

  h = r +4d -m

Step-by-step explanation:

There are a couple of ways to go about this:

1) Solve it the way you would any 2-step linear equation.

Step 1:

Identify the terms that do not involve h on the side of the equation that has the h-term. Subtract those terms from both sides of the equation.

  m -r -4d = -h

Step 2:

If the coefficient of h is not 1, divide both sides of the equation by that coefficient.

  (m -r -4d)/(-1) = (-h)/(-1)

  -m +r +4d = h

I like to have the leading coefficient be positive, so I might write this as ...

  h = 4d +r -m

__

2) The only h term has a -1 coefficient, so it can be given a coefficient of +1 by adding h to both sides of the equation.

  h +m = r +4d

There is an unwanted m term with the h term, so subtract that from both sides of the equation.

  h = r +4d -m

Answer:

h = 4d -m + r

Step-by-step explanation:

m = r-h +4d

h = 4d -m + r

we know when the real root is  r = h-4d  

the m+h = r+4d is step 1

then simply h-m = 4d-m + r is step 2

then h = 4d -m + r

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Answers

Step-by-step explanation:

wjjdjrjdjdjdudidjdkdk pick the C

Answer:

D,

Step-by-step explanation:

Step 1: 47-12=27, 27+(-27)=0

step 2: 27/2=13.5, 2c/2=c

step 3, change 13.5 to fraction which is 13 1/2

(hope it's helpful :)

Find the y-intercept of the following equation. Simplify your answer.
y
=
–2
x
+
4
5

Answers

x = frac{−1}{2}y + frac{45}{2}

Answer:

y- intercept = [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + [tex]\frac{4}{5}[/tex] ← is in slope- intercept form

with y- intercept c = [tex]\frac{4}{5}[/tex]

Please solve this law of indices question
and don't give studip ans
i will mark as brainlisted ​

Answers

Answer:

hope you understand .............

Tổng các góc của tứ giác bằng bao nhiêu

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Answer:

tổng các góc của tứ giác bằng 360 độ

Step-by-step explanation:

ha? what language is that?

Help stuck on question number 10

Answers

Answer:

y = 2/3x - 5  or   in standard form 3y = 2x - 5

Step-by-step explanation:

Remember this fact: Parallel lines have the same slope

Step 1   Solve for y  so that the equation is in the slope- intersect form

         2x - 3y = 6

          -3y = -2x + 6  

           -3y/-3  = -2x/-3 + 6/-3

             y = 2/3 x -2        

  now we know the slope is 2/3  or

   when the equation is in Standard form Ax + By = C   you can use this fact:  slope = - A/B    so  the slope = -2/-3 = 2/3

    Remember the   Parallel lines have the same slope

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      y = mx + b

       -1 = 2/3(6) + b

       -1 = 4 + b

       -5 = b    

Now write the equation of line that is parallel to the given line and passes through  point (6, -1)

y = 2/3x - 5  or  in standard form 3y = 2x - 5

find gcf

16x^2 -16+3

Answers

Answer:

13

Step-by-step explanation:

Step 1 to find gcf of  16x^2 -16+3  is factor out  the equation = (4x)^2  -13   =  (4x+13)(4x-13) So we factor to show one - and one + and then step 2 we then divide 4/4  -13/4 and 4/4 13/4  and cancel out 4/4 and see what we are left with =  x>+ - 13/4  = 3  1/4    we can now find gcf by working out 16x^2 = 16(3 1/4)^2 = 16(10.5625) = 169  and  the gcf of 169 and +- 13  =  13

Which matrix multiplication is defined ?

Answers

Answer:

A. CB

Step-by-step explanation:

3 x 2 (C is a 3 by 2) matrix can be multiplied to a 2 x 2 (B is a 2 by 2) matrix since C has 2 columns that are equal to the number of rows in the second matrix B.

A way of checking if two matrices can be multiplied is to first check the number of columns the first matrix contains and then check the number of rows that the second matrix contains.

If the number of columns in the first matrix equal the number of rows in the second matrix then that means it is possible to multiply these matrices.

Which transformations will map octagon PQRSTVWZ onto itself?

Answers

Answer:

Rotation, Reflection and Translation.

Someone plz help me :(

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Answer:

c

Step-by-step explanation:

you want to take your total amount of points and divide it by the number of games

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Step-by-step explanation:

a=32(alternate angles are equal)

b=a=32

c=17(all sides of rhombus are equal in length)

d=17(all sides of rhombus are equal in length)

e=90

f=90(diagonals intersect at right angles)

Start with the parent function y=|x|. List the transformations from the parent function to y=−|x+2|.

Answers

It is reflection in x axis and then vertical shift up by 4 units and horizontal shift to the left by 2 units

Explanation:

It is reflection in x axis and then vertical shift up by 4 units and horizontal shift to the left by 2 units

Look at the three graphs y=|x| in pink. y=-|x| in white and y=4-|x+2| in red

Find the missing measure (simular figures)

Answers

Answer:

66m, 35in?, 12m, 2km, 26cm

Step-by-step explanation:

22/17 = 1.294x51 = 66m

7/3 = 2.333x15? = 35in not sure if the number on the pic is 15

18/12 = 1.5x8 = 12m

6/27 = .2222x9 = 2km

6.5/2.5 = 2.6x10 = 26cm

NEED HELP ASAPfind the missing number and fill in the blank to make it true35 + ?? = 7(5 + 3)

Answers

Answer:

x = 21

Step-by-step explanation:

35 + ?? = 7(5 + 3)

1. Expand the brackets on the right:

35 + x = 35 + 21

2. Cancel out 35 from both sides

x = 21

please solve this question...​

Answers

Answer:

Refer to the attachment

If x is an odd number, which of the following is also odd? * X + 1, X + 2, 2x + 2 or 3x + 1​

Answers

Answer:

x+2

Step-by-step explanation:

i put mi x as one so

....that how i get my anwser

Without graphing, classify the system as independent, dependent, or inconsistent.
S x – 5 = - y
| 2y - 10 = – 21

Answers

Answer:

Step-by-step explanation

I

D

K

Sorry

This is a 30-60-90 triangle.
What is the measure of x?
18
X
X
x = 9V [?]

Answers

Answer:

[tex] \huge\: x =9 \sqrt{ \boxed{3}} [/tex]

Step-by-step explanation:

Given is a 30°-60°-90° triangle and x is the length of side opposite to 60° angle.

[tex] \therefore \: x = \frac{ \sqrt{3} }{2} \times 18 \\ \\ \therefore \: x = \sqrt{3} \times 9 \\ \\ \huge\therefore \: x =9 \sqrt{ \boxed{3}} [/tex]

Answer:

3

Step-by-step explanation:

Maria started her savings account with $105. she adds $10 to it each month, including the first month. Jana Rae started her account with $0 she adds $25 to it each month. after how many months will the girls have the same amount in their accounts? how much will they have?​

Answers

Answer:

After 7 months, the girls will have the same amount in their accounts. They will have 175.

Step-by-step explanation:

Maria:

Starts with $105

Adds $10 each month

Jana Rae:

Starts with $0

Adds $25 each month

Set up an equation for both Maria and Jana.

m will represent the number of months.

Maria: 105 + 10m

Jana: 0 + 25m

You can do guess and check.

Let’s say m is equal to 6.

Subsitute m with 6 for both equations and check if they both end up having the same answer.

Maria: 105 + 10(6) = 165

Jana: 0 + 25(6) = 150

Is 165 and 150 equivalent? No

Let’s try m = 7 and do that same thing.

Maria: 105 + 10(7) = 175

Jana: 0 + 25(7) = 175

Now is the answer equal? Yes

So therefore, after 7 months, the girls will have the same amount in their accounts. They will have 175.

Hope this helps! Pls mark me brainliest! (only if u want, I won’t mind if u don’t)

Which of the following systems of inequalities has no solution?

Answers

Answer:

The third one

Step-by-step explanation:

y=>x+1

y=<x-1

removing y

x-1 => x+1

removing x

we have no solution

Option C has no solution.

By definition, parallel lines have the same slope, in which they have no point of intersection. Therefore, they will have no solution (making them an inconsistent system).

Out of all the given options, the inequality statements in Option C has the same slope of 1 (regardless of the inequality symbol, what matters is their lack of point of intersection because their lines are parallel).


Therefore, the correct answer is Option C: y ≥ x + 1; y ≤ x - 1.

For how many values of x is the function _____ discontinuous?

Answers

Answer:

Step-by-step explanation:

2 values

x^2-1=0

x^2=1

x=±1

thes are the two values for which the function is discontinuous.

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