$6,000 dollars is invested in two different accounts earning 3% and 5% interest. At the end of one year, the two accounts earned $220 in interest. Set up a systems of linear equations to model the amount of money invested and the interest earned.

Answers

Answer 1

Answer:

x + y = 6000

0.03x + 0.05y = 220

Step-by-step explanation:

Given that :

Total principal amount = $6000

Account A:

Let principal = x

Rate = 3% = 0.03

Account B:

Let principal = y

Rate = 5% = 0.05

Interest earned at after one year = $220

Amount invested :

x + y = 6000

Simple interest = principal x rate x time

Interest earned

(x * 0.03 * 1 ) + (y * 0.05 * 1) = $220

0.03x + 0.05y = 220


Related Questions

What is the value of 72-2[3+2(5-1)]

Answers

Answer:

50

Step-by-step explanation:

Already done this

Answer:

50

Step-by-step explanation:

i just simplified the expression

What is y-intercept for the line y=8x+21

Answers

Change Y to 0.

y=8x+21

0=8x+21

-8x=21

[tex]x=\frac{21}{-8\\}[/tex]

Solve the following
equation for X.

3x - 15 = -30

Answers

Answer:

X = -5

Step-by-step explanation:

3x - 15 = -30       You want to isolate tha variable

3x= -30+15    Add 15 to -15 in order to get rid of it. All you do to one side you do to the other, so you add 15 to 30

3x= -15    

x= -15÷3   Divide x by 3 in order to get rid of the 3. Do it to the other side

x=-5  

LaTeX: \frac{16}{24} 1624 in simplest form?

Answers

Answer:

Im so sorry, I dont know the answer and accidentally clicked on it. It wont let me get out of this... SO SORRY!

Step-by-step explanation:

none

A'roll of cookie dough is 8.4 inches long. If we want to cut out 12 equal sections to make
12 cookies, how long will each section be?

Answers

Answer:

each section will be .7 inches long

Step-by-step explanation:

8.4/ 12

1. Find the length of the rectangle below.

Answers

Answer:

Given - A rectangle whose area is 1 2/5 m^2

- length is 4/5 m

To find - Length of rectangle

Solution -

1 2/5 = 7/5 m^2

Let the length be X

Area of rectangle= Length × Breadth

7/5 = X × 4/5

7/5 × 5/4 = X

7/4 = X

Length of rectangle= 7/4

Answer:

ANSWER IS 15x20 Please make meh brainlist

Marla invested $78,170 in a simple interest account. After 9 years and no additional deposits or withdrawals, the account balance was $150,606.59. Find the interest rate for the account.

Answers

Answer:

10% interest

Step-by-step explanation:

150,606.59 - 78,170 = 72,436.59

72,436.59 / 9 = 8,048.51

8,048.51 / 78,170 = 0.1029... = 10%

Is this correct? I need help

Answers

Yes it is correct hafhssjkstsdd

which relation is NOT a function?​

Answers

Answer:

The relation represented by diagram 4 is NOT a function.

Step-by-step explanation:

To tell if a relation is not a function, pay attention to the x-intercepts. If there is more than one y-intercept with the same x-intercept, then it is not a function, because a function can only have one output (y-value) for each input (x-value).

According to the fourth diagram, the domains include 1, 2, and 3 while the range includes A, B, and C. Also, the ordered pairs would go as follows according to the arrows:

(1, A), (2, A), (2, B), (3, C)

While the y-values, A and B, are different, they share the same input, 2. Therefore, the relation represented by the 4th diagram is NOT a function.

Hope this helps!

Can I get some help? I will be giving brainliest!
Find the slope of each piece of the antler on the graph below. Write answers in the simplest form into the table.

Answers

Answer:

1.) slope = 2

2.) slope = [tex]-2\frac{2}{3}[/tex]

3.) slope = [tex]\frac{2}{3}[/tex]

4.) slope = [tex]\frac{1}{4}[/tex]

5.) slope = [tex]1\frac{8}{9}[/tex]

6.) slope = -2

7.) slope = -3

Step-by-step explanation:

In order to find the slope we have to divide they "y" value (the number of units by which the piece of antler goes up) by the "x" value the number of units by which the piece of antler goes to the side). Notice the if the antler moves to the left as it foes up then the "x" value is negative.

Now as I said before we know this......

Let "m" be the slope, then....

[tex]m = \frac{y}{x}[/tex]

So now we just have to plug in the y and x values for each antler and we will get the slopes for each one of them.

1.)

[tex]m = \frac{y}{x}[/tex]

[tex]m= \frac{4}{2}[/tex]

[tex]m = 2[/tex]

2.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{4}{-1.5}[/tex]

[tex]m = -2\frac{2}{3}[/tex]

3.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{2}{3}[/tex]

4.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{1}{4}[/tex]

5.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{8.5}{4.5}[/tex]

[tex]m = 1\frac{8}{9}[/tex]

6.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{2}{-1}[/tex]

[tex]m= -2[/tex]

7.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{3}{-1}[/tex]

[tex]m = -3[/tex]

what multiplication expression is equal to 5/6 divided by 1/2

Answers

5/6 * 2/1 you just flip the second fraction to get the multiplication expression.

-21, -16, -11, -6, ...
Is this sequence arithmetic, geometric, or neither?

Answers

Answer:

Geometric sequence

.Step-by-step explanation:

Geometric sequences are defined by an initial value and a common ratio . If a sequence does not have a common ratio or a common difference, it is neither an arithmetic nor a geometric sequence. You should still try to figure out the pattern and come up with a formula that describes it.

Answer: Neither

Step-by-step explanation:

If two angles are supplementary and one of the angles measures 62°, what is the measure of the other angle?

Answers

Answer:118 for the other angle

Step-by-step explanation:trust me bro

Given that a triangle equals 180 we can subtract 62 from that. After that we will get the answer 118 we want to divide this by 2 because the remaining sides are supplementary this gives us the answer of “59”

What is the image point of (-4,2) after a translation left 5 units and down 3
units?

Answers

Answer: (-9,-1)

Step-by-step explanation:

CORRECT ANSWER GETS BRAINLIEST

What percentage of the block is shaded in?

Answers

Answer:

7/10ths

Step-by-step explanation:

There are ten blocks all together, which is where the 10 comes from, there is 7 shaded that is where the 7 comes from.

Answer:

The percentage is 70%.

Step-by-step explanation:

There are 10 spaces total, and 7 are shaded in. 7 divided by 10 is 0.7.

0.7 as a percentage is 70%.

So 70% of the block is shaded in.

Write the equation in slope- intercept form

4x+2y=12

Thanks!

Answers

Answer:

y=-2x+6

Step-by-step explanation:

7.
NOT TO
SCALE
8.
Р
С
B
In the diagram. PQ is parallel to BC.
APB and AQC are straight lines.
PQ = 8 cm, BC = 10 cm and AB = 9 cm.
Calculate PB​

Answers

Answer:

PB = 1.8

Step-by-step explanation:

PQ = 8 cm, BC = 10 cm and AB = 9 cm

∆ABC is similar to ∆APQ.

Therefore:

[tex] \frac{AB}{AP} = \frac{BC}{PQ} [/tex]

Plug in the values

[tex] \frac{9}{AP} = \frac{10}{8} [/tex]

Cross multiply

AP × 10 = 8 × 9

AP × 10 = 72

Divide both sides by 10

AP = 7.2

PB = AB - AP

PB = 9 - 7.2

PB = 1.8

This is Algebra 1
Please Help



The equation of your best fit line is
y= 0.404x - 0.003
Use that equation to calculate how high the line will be when
x = 100

Answers

Answer:

The answer will be 40.397.

Step-by-step explanation:

Since the equation of your best fit line is y= 0.404x - 0.003 and they want you to calculate how high the line will be when x=100, plug in 100 in x which will be y= 0.404(100) - 0.003 and you'll get an answer of 40.397.

Answer:

40.397

Step-by-step explanation:

0.404(100)-0.003=40.397

Just plug in the X value for X in the equation and solve. it gives you your answer.

Hope this helps.

A bus makes a stop at 2:30, letting off 11 people and letting on 5. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?

Answers

Answer:

Answer down below Branliest Please

Step-by-step explanation:

I'll give brainliest Please help

-4n(5n+6)-5(3+3n)

Answers

Answer: -20n^2 - 39n - 15

Step-by-step explanation:

first, we remove the parenthesis (multiply everything out).

-20n^2 - 24n - 15 - 15n

then, we simply collect like terms.

-20n^2 - 39n - 15

Answer:

-20n^2-39n-15

Step-by-step explanation:

Given: -4n(5n+6)-5(3+3n)

Use the distributive property: -20n^2-24n-15-15n

Combine like terms: -20n^2-39n-15

Your simplified expression is -20n^2-39n-15

Need help I’m in class lol but please thanks

Answers

Answer:

[tex]4\frac{3}{8}[/tex]

Step-by-step explanation:

subtract [tex]19\frac{1}{8}[/tex][tex]-14\frac{3}{4}[/tex]

Hope this helps!

In which quadrant is point F located
A. I
B. II
C. III
D. IV

Answers

It’s C the third quadrant

Answer:

C, third quadrant

Step-by-step explanation:

A photo of an ant in a science book is increased to 618% as large as the actual size. If the ant is 15 millimeter, what is the size of the ant in the​ photo?

Answers

Answer:

92.7?????

Step-by-step explanation:

What is the equation of the line that passes through the point (-8, 5) and has a slope of -1/4

Answers

Answer:

Step-by-step explanation:

Step one.

Read the slope

-1/4

Step two

Put the slope in the general equation

y = mx + b

y = -1/4 x + b

Step 3

Put the point into the equation from step 2

(-8,5)

5 = -1/4  -8   + b

5 = 2 + b                   Subtract 2 from both sides

5-2 = b

b = 3

Step 4

Write the entire equation

y =   -1/4 x + 3

PLEASE HELP
(07.06 MC)

What is the solution to the equation fraction 3 over 5 n minus fraction 4 over 5 equals fraction 1 over 5 n?

n = fraction 5 over 2

n = −1

n = fraction 5 over 3

n = 2

Answers

9514 1404 393

Answer:

  n = 5/3

Step-by-step explanation:

Eliminate fractions, add 4, divide by the coefficient of n.

  [tex]\dfrac{3}{5} n-\dfrac{4}{5}=\dfrac{1}{5}\\\\3n-4=1 \qquad\text{multiply by 5}\\\\3n=5 \qquad\text{add4}\\\\\boxed{n=\dfrac{5}{3}} \qquad\text{divide by 3}[/tex]

Please please please please help ASAP I will give the brain thing if you have a correct answer + explain :)

Answers

Answer:

11

Step-by-step explanation:

every ratio is been multiplied for eleven si if we know this we can tell that

1 times 11= 11

Answer:

11

Step-by-step explanation:

Just times the things by 11, 5 times 11 is 55, 10 times 11 is 110, and 20 times 11 is 220, so 1 times 11 is 11 so 11 is the answer.

CAN I GET BRAINLLEST NOW!!!!!!!!!!!?????????????

PLEASE  

(○’ω’○)⊙_⊙-_-||囧rz◑﹏◐(?_?)(T_T)O_o::>_<::^O^-_-z(ToT)o_O

f(x) = 2x² + x – 4
Find f(-10)
NEED IT FAST

Answers

Answer:

[tex]f(-10)=186[/tex]

Step-by-step explanation:

We can use substitution to find the value of [tex]f(-10)[/tex].

[tex]f(x) = 2x^2+x-4[/tex]

[tex]f(-10) = 2(-10)^2-10-4[/tex]

[tex]=200-10-4[/tex]

[tex]=186[/tex]

∴ [tex]f(-10) =186[/tex]

Hope this helps :)

Answer:

The value of f(-10) is equal to 186.

Step-by-step explanation:

We are given the function:

[tex]f(x) = 2x^2 + x - 4[/tex]

We are told to find the value of:

[tex]f(-10)[/tex]

If we pay close attention, we can see a transition between:

[tex]f(x) \rightarrow f(-10)[/tex]

We have turned x into -10, making x = -10.

Therefore, we can change the value of x in the entire function to -10.

[tex]f(-10)=2(-10)^2+(-10) - 4\\\\f(-10) = 200 - 10 - 4\\\\f(-10) = 186[/tex]

Therefore, f(-10) = 186.

You roll a fair six-sided die twice. The first roll shows a five and the second roll shows a six.

Answers

Answer:

2/7

Step-by-step explanation:

lily likes to collect records. Last year she had 4 records in her collection. Now she has 7 records. What is the percent increase of her ​collection?

Answers

Answer:

75% increase

Step-by-step explanation:

First we need to figure out how many new records she got this year...

7-4 = 3 new records.

Now, we need to know how many times 4 goes into 100%....

100 ÷ 4 = 25%

This tells us that a single record this year is a 25% increase.

Now, we multiply 25% by 3 to get 75% as our final answer

Hope this Helps!!! :)

Let me know if I should change anything or if the answer was perfect!

What is the least common multiple of 5 & 6?

Answers

Answer:

30

Step-by-step explanation:

5=5,10,15,20,25,(30),35

6=6,12,18,24,(30),36

30 is the first number that can be used to divide both numbers

Answer:

30

Step-by-step explanation:

5* 6 =30 and no number less than 30 works :)

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