Michelle has money in two savings accounts. One rate is 6%

and the other is 14%
. If she has $900
$

900
more in the 14%

account and the total interest is $209

, how much is invested in each savings account?

Answers

Answer 1

Answer:

$415 at 6% and $1315 at 14%

Step-by-step explanation:

She has x amount at 6%.

She has y amount at 14%.

y = x + 900

0.06x + 0.14y = 209

Since the first equation is already solved for y, we use the substitution method. Substitute x + 900 for y in the second equation and solve for x.

0.06x + 0.14(x + 900) = 209

0.06x + 0.14x + 126 = 209

0.2x = 83

x = 415

y = x + 900

y = 415 + 900

y = 1315

Answer: $415 at 6% and $1315 at 14%


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Factor use please help I need this and quick

Answers

[tex]8a^{3} +\sqrt{3^{2}*3 } b^{3}[/tex]

[tex]8a^{3} +(\sqrt{3^{2} } *\sqrt{3})b^{3} \\\\[/tex]

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What is 32008 rounded to the nearest highest place value

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32008 rounded to the nearest highest place value is 32010
32008 rounded to the nearest highest place value is 32010

Simplify 5b4×4b3 what is the answer for it ​

Answers

Answer:

[tex]{ \rm{ {5b}^{4} \times {4b}^{3} }}[/tex]

• from laws of indices:

[tex] \hookrightarrow \: { \boxed{ \rm{ {rx}^{n} + {px}^{m} = (r \times p) {x}^{(n + m)} }}} \\ [/tex]

• substitute:

[tex]{ \rm{ {5b}^{4} \times {4b}^{3} = (5 \times 4) {b}^{(4 + 3)} }} \\ \\ = { \boxed{ \boxed{ \rm{ \: 20 {b}^{7} \: \: }}}}[/tex]


<1 and <2 are complementary. Solve for the measure of <1.

<1 = 12x + 4
<2 = 9x + 2

A. 52
B. 4
C. 38
D. 8.3

Answers

Answer:

A) 52

Step-by-step explanation:

If < 1 and < 2 are complementary angles, then it means that the sum of their measures add up to 90°.

< 1 + < 2 = 90°

12x + 4 + 9x + 2 = 90°

21x + 6 = 90°

21x + 6 - 6 = 90° - 6

21x = 84°

21x/21 = 84°/21

x = 4

Substitute the value of x = 4 into < 1 and < 2:

m < 1: 12x + 4 = 12(4) + 4 = 52°

m < 2: 9x + 2 = 9(4) + 2 = 38°

Therefore, the correct answer is A) m < 1 = 52°.

Select the correct answer. What is a round character? A. a character who contrasts the personality of another character B. a character who stays the same throughout a story C. a character who has a complex personality D. a character who has just one or two personality traits

Answers

The answer is c …………………

While at School Brian had a math quiz every 6 days and a science quiz every four days. On February 15 he had both tests. Assuming no school days off when will he have both tests on the same day again.

Answers

March 3rd, assuming that it’s not a leap year and there are no school holidays.
Days x # of tests = days until both
6x2=12
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In Bobby's grade, 679 students are enrolled in health and 21 students are not. What percentage of the students in the school are enrolled in health? Write your answer using a percent sign (%).​

Answers

97.07%

Step-by-step explanation:

total number of students is

696+21=717

696/717×100=97.07

answer is 97.07%

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Answers

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Step-by-step explanation:

(−72)(−23)

−72(−23)

1423

solve pls brainliest

Answers

Answer: (a.) -19  (b.) 78

Step-by-step explanation:

(a.) -33+14= -19       (b.) 75 - x = 78

(b.) 75 to zero = 75     Zero to -3

is 3 points behind zero, this make more distance from 75 so…

(b.) 75+3 = 78

Can someone please show a piece of paper or ex’s plum how you do h point?

Answers

Answer:

(-1,-1)

Step-by-step explanation:

well a square has four sides and they are all equal so it would have to be (-1,-1) for the sides to be equal

Engineering An overpass intersects two
lanes of a highway. What must the value of x
be to ensure the two lanes are parallel?

Answers

Answer:

they are already paralell

Step-by-step explanation:

ok

HELP PLS I NEED THIS DONE BY 1:00 help me

Answers

Monsoon

Speed = distance/time
3/1 = 3
5/2 = 2.5
15/4 = 3.75

Monsoon has the lowest speed going 2.5km per hour.

Any helpp? someone....?

Answers

Answer:

I think that the speed is 65mph, because there is the largest number of people on the graph for 65mph.

Step-by-step explanation:

(-10)-[9+(-3)]×2²÷(-8)

Answers

Answer:

-7

Step-by-step explanation:

-7 is the answer……………….

Which number line correctly shows the graphing of point A,2 1/2 point b -2.75 and point c -0.25

Answers

Answer:

C

Step-by-step explanation:

There are two negative numbers must be before zero and one positive number must be after zero

A = 2 1/2 = 2.5 between 2 and 3

B = -2.75 between -2.5 and -3

C = -0.25 between 0 and -0.5

The soccer team raises $919.60 for new uniforms. If there are 20 players on the team, how much does each player get for a new uniform?​

Answers

Answer:

10☺☺☺☺☺☺☺☺☺☺10 i think is 10

write an expression in factored form for the polynomial of least possible degree graphed below.

i’m confused because when i’m trying to find « a » i end up getting 0 and i feel i’m doing something wrong. thank you!!

Answers

Answer:

- 1/64 (x+4)² (x-3) (x-4) = 0

Step-by-step explanation:

f(x) = a (x+4)²(x-3)(x-4)   ... curve touch (-4,0) and not cross x axis

x=0   f(x) = -3

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a = - 1/64

- 1/64 (x+4)² (x-3) (x-4) = 0

what is the answer of 380 x 690 estimate

Answers

Answer:

26200

Step-by-step explanation:

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{23,80,43,23,0,20,23,23,20,28}

Answers

Using the IQR, the only outlier in the data set is: 0.

What is the IQR of a Data Set?

IQR = upper quartile (Q3) - lower quartile (Q1).

Given the data set, 23,80,43,23,0,20,23,23,20,28:

Quartile (Q1): 20

Quartile (Q3): 31.75

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The outliers are data values that lie below:

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Answers

Answer:

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Step-by-step explanation:

The local newspaper has letters to the editor from 80 people. If this number represents 2​% of all of the​ newspaper's readers, how many readers does the newspaper​ have?

Answers

Answer:

The local newspaper has letters to the editor from 80 people. If this number represents 2% of all of the newspaper's readers, how many readers does the newspaper have?

Step-by-step explanation:

2%ofx=80

or, 2/100 *X = 80

or, 2x =800

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Marking Brainliest!!

Answers

Answer:

12

Step-by-step explanation:

0.5 = 1/2

6 ÷ 0.5 = 12

or

6 : 1/2 =

6 × 2 = 12

Alex‘s credit card balance is -$200 after a long she makes a payment of $50 towards her bill what integer represents
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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

8

Step-by-step explanation:

Let,

x1 = 0

x2 = 1

y1 = 18

y2 = 26

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( 26 - 18 ) / ( 1 - 0 )

= 8 / 1

Slope = 8

Gabe's bill at Colton's was $25. If he decided to leave his server a 20% tip, how muc
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Answers

Answer:

$31.25

Step-by-step explanation:

If I understood the question correctly, it should be $31.25. 25 x 0.25 (25 percent) = 6.25. 25 + 6.25 = 31.25.

What is the value of k?

2k+9=7−3k


k=−2

k=−0.4

k = 2

k = 3.2

Answers

Answer:

k = -0.4

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

2k + 9 = 7 - 3k

Step 2: Solve for k

[Addition Property of Equality] Add 3k on both sides:                                  5k + 9 = 7[Subtraction Property of Equality] Subtract 9 on both sides:                        5k = -2[Division Property of Equality] Divide 5 on both sides:                                 k = -0.4

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Answers

Answer:

Step-by-step explanation:

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A family bought a total of 13 tickets to a magic show, some adult and some child. The family paid a total of $85
Adult tickets are $15 each and child tickets are $5 each.
Let x represent adult tickets and y represent child tickets.
Write an equation to model the total amount of money that they spent.

Answers

Answer:

250 $3 tickets and 100 $2 tickets were sold.

Step-by-step explanation:

The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?

Solution:

Step 1: Set up a table with quantity and value.

quantityvaluetotal$3 tickets$2 ticketstogether

Step 2: Fill in the table with information from the question.

The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?

Let x = number of $3 tickets

Let y = number of $2 tickets

Total = quantity × value

quantityvaluetotal$3 ticketsx33x$2 ticketsy22ytogether350950

Step 3: Add down each column to get the equations

x + y = 350                    (equation 1)

3x + 2y = 950                (equation 2)

Use Substitution Method

Isolate variable x in equation 1

x = 350 – y                     (equation 3)

Substitute equation 3 into equation 2

3(350 – y) + 2y = 950

1050 – 3y + 2y = 950

3y – 2y = 1050 – 950

y = 100

Substitute y = 100 into equation 1

x + 100 = 350

x = 250

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