We invested $10000 into two bank accounts. One account earns 14% per year, the other account earns 8% per year. How much did we invest into each account if after the first year, the combined interest from the two accounts is $1238?

Answers

Answer 1

Answer:

$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account

Step-by-step explanation:

Let the amount invested in first account be $x while the amount for second account is $y

Mathematically;

x + y = 10,000 •••••••••(i)

Interest on first account

= 14% of x = 14/100 * x

Interest on second account

= 8% of y= 8/100 * y

Adding all together will give total

14/100 * x + 8/100 * y = 1238

Multiply through by 100

14x + 8y = 123800 •••••••(ii)

From equation 1, x = 10,000 - y

Insert this into second equation

14(10,000-y) + 8y = 123,800

140,000 - 14y + 8y = 123,800

140,000 - 6y = 123,800

6y = 140,000 - 123,800

6y = 16,200

y = 16,200/6

y = $2,700

Recall

x + y = 10,000

x = 10000 - y

x = 10,000 - 2,700

x = $7,300


Related Questions

Please help this math question is kinda confusing to me just a little bit. Please explain. Thanks

Answers

Step-by-step explanation:

Add both lengths and you see the overlap thats 12 cm so subtract that to get the length.

Answer:

1.94 m

Step-by-step explanation:

1 meter=100cm

Then we need to convert the two lengths which is 135 cm and 83 cm

so then since it is overlap we multiply by two 12 cm*2= 24 cm

Then we add 135 and 83= 135+83 = 218 cm

218 cm - 24 cm = 194 cm

So then 194 cm to m = 1.94 m

PLEASE give Brainliest

HELP !!! Find the coordinates of 3 points that lie on the graph of each equation. Graph the points and the line representing the equation. Then named the coordinates of one point not on the line.​

Answers

Answer:

poggers ngl

Step-by-step explanation:

Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ Pog champ

5% of what number is 300?

Answers

Answer:

6000

Step-by-step explanation:

Answer:

6000

Step-by-step explanation:

5% = 0.05.

0.05x = 300

divide both sides of the equation by 0.05

0.05x/0.05 = 300/0.05

x = 300/0.05

x = 6,000

Can someone help me confused on how to solve but it might be easy I just think I'm dumb

Answers

Maybe it’s 2? Let me know if I’m wrong

can you help solve for m​

Answers

Answer:

m = [tex]\frac{w}{g}[/tex]

Step-by-step explanation:

Answer:

M=w/g

Step-by-step explanation:

M =w/g Ia the answer

If both the numerator and denominator of 48/65 are divided by 8, the fraction will be in lowest terms. true or false?

Answers

Answer:

your answer is false!!

Step-by-step explanation:

You answer is false

is 4÷3/2 the same as 4÷2/3

Answers

Answer:

Yes, they are their just switched around to counfuse you  :)

Step-by-step explanation:

Which best represents the change in the vertices of rectangle ABCD to form rectangle A'B'C'D'?
F) (x, y ) → (2x, 2y)
G) (x, y ) → (1.5x, 1.5y)
H) (x, y ) → (3x, 3y)
J) (x, y ) → (4x, 4y)

Answers

Answer:

F

Step-by-step explanation:

How do you know what 0 to place the decimal point at for scientific notation? Please explain in detail.

Answers

To convert a decimal into scientific notation, move the decimal point until you get to the left of the first non-zero integer. The number of places the decimal point moves is the power of the exponent, because each movement represents a "power of 10".

please help me with this!!!!!

Answers

All you have to do is add up all of the numbers and then yo uwill have your answer

HELP!!! What is the equation in point-slope form of the line that passes through point (2,-3) and has a slope of 4

Answers

Answer:

y = 4x - 11

Step-by-step explanation:

given slope m = 4

point (2, -3) for (x1, y1)

equation for point slope form

y - y1 = m(x- x1)

y - (-3) = 4 (x -2)

y + 3 = 4x - 8, simplify

y = 4x - 11

A smartphone device has a certain cost. A person gets this smartphone and signs up for a monthly wireless plan with a fixed base price plus a charge per GB of data used. Which is the Independent Variable in this scenario? A. The cost of the smartphone device. B. The charge per GB of data used. C. The number of GB data used. D. The total amount they pay for the new device and new phone plan in the first month.

Answers

Answer:

C. The number of GB data used.

Step-by-step explanation:

Independent variable is the variable that is changed or manipulated in an experimental scenario. The independent variable is changed in order to effect response in another variable called Dependent variable, which is dependent on the independent variable.

According to this question, a person gets a smartphone at a certain cost and signs up for a monthly wireless plan with a fixed base price plus a charge per GB of data used. One would observe that the variable changed here is the "Number of GB of data used", hence, it is the INDEPENDENT VARIABLE. The charge per GB of data used is dependent on the number of GB of data used hence it is the dependent variable.

Answer:

C. The number of GB data used.

Step-by-step explanation:

What is the Equation of a line that has a slope
of -3 passes to the point (4,-5)

Answers

Answer:

y= -3x + 7:)

Step-by-step explanation:

Hope this helps!

Answer:

y = - 3x + 7

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 )

Here m = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute (4, - 5) into the partial equation

- 5 = - 12 + c ⇒ c = - 5 + 12 = 7

y = - 3x + 7 ← equation of line

Identify the slope and y-intercept:
y = -1/5x+12
Slope:

y-intercept:

Answers

Answer:

Slope: -1/5  y-intercept: 12

Step-by-step explanation:

y = -1/5x + 12

The equation given is the slope-intercept form, y= mx + b

In this equation, the m, or number in front of the x, is the slope of the line.

The b in the equation represents the y-intercept.

Therefore, according to the given equation, the slope is -1/5 and the y-intercept is 12.

Answer: slope: -1/5

Step-by-step explanation: Y intercept: 12

Given the formula y = -1/2x - 4, what is the slope and y-intercept of the graph? PLEASE HELP!​

Answers

Answer:

the slope is -1/2 and the y-intercept is -4

Step-by-step explanation:

The original formula is y=mx+b. m is the slope of the graph and b is the y-intercept. You just plug in the numbers to the original formula to get the formula for the graph. The slope is always the number that is right next to the x, or the number which is multiplied by the x. The y-intercept is always the number that is not by x.

The equation y=1/2x represents proportional relationship. What is the constant of proportionality?

Answers

Answer:

1/2

Step-by-step explanation:

A direct variation equation is in the form of y=kx.Is this a direct variation equation ?

Yes or No

Answers

Answer:

yes that is the direct variation equation

Yes it is direct variation

PLS HELP 50 points!!!! Which relation is a function?
O {(-2, 1), (-7, - 1), (2, 8), (-7, – 8)}
O {(-2, 2), (-7, 7), (-1, 1), (-8, 8)}
O {(-2, 1), (-2, 2), (-2, 7), (-2, 8)}
O {(1, -7), (2, – 8), (-2, 7), (1, 8)}

Answers

Answer:

B

Step-by-step explanation:

For a relation to be a function, it must fit the following criteria:

Each input must be matched to exactly one output. Inputs cannot repeat*. Outputs can. *If inputs do repeat, they must be equal the same output as the other inputs.

So, let’s go through each of the choices.

Choice A)

In this relation, -7 repeats. It simultaneously equals -1 and -8. So, this is not a function since it’s repeating and it doesn’t equal to same.

Choice B)

In this relation, none of the inputs are repeating. Therefore, B is the corrrect answer.

Choice C)

In this relation, -2 repeats four times. And each time, it equals something different. Therefore, C is not a function.

Choice D)

Here, 1 repeats twice, equalling both -7 and 8. Since it appeared more than once and is not equal to the same thing, D is not a function.

Therefore, our answer is B.

Edit: Typo

Relationship B has a greater rate than Relationship A. This graph represents Relationship A.

Which equations could represent Relationship B?

Select each correct answer.

A) y = 1.4x

B) y = 3x

C) y = 1/2x

D) y = 2.2x

Answers

Answer:

A. 1.4x and C. 1/2x

Step-by-step explanation:

Relationship A is 4/2x which is 2x. So everything lower than y=2x would be the answer.

Answer:

y=1.4x

y=1/2x

Step-by-step explanation:

the correct answer


Determine if there is a correlation and slope for the
scatterplot
positive correlation, positive slope
positive correlation, negative slope
negative correlation, negative slope
* no correlation, undefined slop

Answers

Answer:

A

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

edge 2021

Find the distance between the pair of points below. You may
round to the nearest tenth when necessary.
(6,9) and (1,-3)

Answers

Answer: is 13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

A spool of ribbon is 85 inches long. riley needs to cut strips of ribbon that are 17 inches long. what are the possible numbers of strips that riley can cut?

Answers

Answer:

80/14=5.7 OR 5 14 IN.

Step-by-step explanation:

How do I simply this expression?

Answers

Answer:

Hope this helps!!

Step-by-step explanation:

5x - (6 - x) (distribute the - to 6 and -x)

5x - 6 + x (collect like terms 5x + x)

6x - 6

6x - 6 = 0 (add 6 on both sides)

6x = 6 (divide by 6)

x = 1

I would put all this down for the problem.

6 : 4 is equivalent to

Answers

Answer:

12 : 8, 18 : 12, 24 : 16, 30 : 20

Step-by-step explanation:

These are the four after 6:4. I didn't know which you needed.

Answer:

3:2

Step-by-step explanation:

If you want to simplify 6:4, it also makes an equivalent equation. To simplify this, we divide by the greatest number that both numbers can be evenly divided by. 6 and 4 can both be divided by 2, which is the biggest number we can divide both numbers by.

6/2=3

4/2=2

The ratio is now simplified/equivalent to 3:2.

I hope this helps...have an amazing day c:

The profit a company urns every month depends on the amount of product sold, p, for $855 each and the amount spent in rent, utilities and other expenses, which always totals to $6,780. The CEO of the company earns 15% of this profit. How much does the CO heard if the company sells 250 products in a given month?

Answers

Answer:

CEO earns $31,045.5

Step-by-step explanation:

Price of each product = $855

Number of product sold = 250

Total revenue = price × quantity

= 855 × 250

= $213,750

Total expenditure = $6,780

Profits = Total revenue - Total expenditure

= 213,750 - 6,780

= $206,970

Profits = $206,970

The CEO of the company earns 15% of this profit

Amount CEO earns = 15% of $206,970

= 15/100 × 206,970

= 0.15 × 206,970

= $31,045.5

CEO earns $31,045.5

s(x)= -3(x-2/3) + 19; s(x) = 0

Answers

Answer:

x = 7

Step-by-step explanation:

Given s(x) = - 3(x - [tex]\frac{2}{3}[/tex]) + 19 and s(x) = 0, then equate the right sides, that is

- 3(x - [tex]\frac{2}{3}[/tex] ) + 19 = 0 ( add 19 to both sides )

- 3(x - [tex]\frac{2}{3}[/tex] ) = - 19 ← distribute the parenthesis

- 3x + 2 = - 19 ( subtract 2 from both sides )

- 3x = - 21 ( divide both sides by - 3 )

x = 7

Find the length of HJ.

Answers

Answer:

The answer is D

Step-by-step explanation:

Because the whole length is 29.1 so you would subtract the part you have which is 16.8 so 29.1-16.8=12.3

The length of HJ equals 12.3

Help needed ASAP will give you brainliest and 5 STARS RATE

Answers

Answer:

it is very long

Step-by-step explanation:

Answer:

It has more than one complete thought

Step-by-step explanation:

...

3.14 × 10³ ○ 2.6 × 10⁴ = ?

( compare ) ​

Answers

Answer:

3.14 times 1000 you can say is bigger

Step-by-step explanation:

Jenny ran 5 more miles this week than she ran last week. Let t be the number of miles she ran last week. Write an expression that tells how many miles she ran this week.

Answers

Answer:

t+5+x

Step-by-step explanation:

It says Jenny ran 5 more miles than last week so you find the number from last week then add 5. X is the miles she ran this week

Answer:

t + 5

Step-by-step explanation:

In this problem, you have to recognize what the information is telling you in terms of the vocabulary used. For example, the first sentence tells us that she ran 5 more miles than last week. This is key because it lets us know that our expression will have an addition sign.

Once you recognize that the problem is telling you to add 5 to her previous distance, you get a final expression of t + 5. Hope this helps!

Other Questions
The presence of a secondary cancer site indicates that the cancer hasA. MetastasizedB. Diminished in sizeC. Adapted itselfD. Been healing How much force is required to accelerate a 0.145 kg baseball to 150 m/s2? Lenox ironed of the shirts over the weekend. She plans to split the remainder of the work equally over the next 5 evenings. If Lenox has 40 shirts, how many shirts will she need to iron on Thursday and Friday? Do not include units in your answer. Was sher shah suri a seccessful ruler? Give 6 reasons The Articles of Confederation had a strong Executive Branch.Question 3 options: True False Perhaps a good night's rest would have given him a better result. ( What is the verb or verb phrase) HELPThe Iroquois Constitution and the Mayflower Compact were similar in which way?They were both intended to create a government for the common good.They were both created by British colonists.They were both influenced by the Declaration of Independence. A beef stew recipe calls for 3 cups of vegetable juice. Find the number of fluid ounces of vegetable juice needed for the recipe. In the month of November, Cullumber Company Inc. wrote checks in the amount of $10,230. In December, checks in the amount of $11,815 were written. In November, $8,240 of these checks were presented to the bank for payment, and $10,655 in December. There were no outstanding checks at the beginning of November. What is the amount of outstanding checks at the end of November? At the end of December? November December The amount of outstanding checks $enter a dollar amount $enter a dollar amount Describe the relationship between photosynthesis and cellular respiration. Does anyone have an opinion if non-violence is good or bad to use? 3) Round 12,547 to the nearest ten. 500 rb4) Draw a model of the fraction 8/9 to The flu _____.is caused by bacteriais noncommunicablecan be prevented by practicing good hygienewas discovered by Edward Jenner during the 1700s How is the investigation of the Hudson River ecosystem an example of scientific inquiry?Scientists study the natural world through scientific inquiry. This involves: Asking questions Developing and using models Planning and carrying out investigations Analyzing and interpreting data Using mathematics and computer technology Constructing explanations Engaging in argument from evidence Obtaining, evaluating, and communicating information If Mux/Px < MUy/Py, then A. Spending a dollar less on Y and a dollar more on X increases utility B. Spending a dollar less on X and a dollar more on Y increases utility C. The substitution effect will increase the quantity of the good demanded while the income effect t will decrease the quantity of the good demanded D. The substitution effect will decrease the quantity of the good demanded while the income effect will increase the quantity of the good demanded Read this stanza from "Invictus."It matters not how strait the gate,How charged with punishments the scroll,I am the master of my fate;I am the captain of my soul.What does the word strait mean in this stanza?cleanuprightformalnarrow managed care definition What term describes a general method of dating objects, which uses the fossil record to examine the relationship between a rock or a fossil and other objectscomparative datingassociative datingvirtual datingrelative dating Two affects that water pollution and unequal access to water are (Two choices are correct, choose the best two) Lack of farming in the area of Southwest Asia. Countries going in debt paying for food and water.Lack of access to clean drinking water. Partnership between countries in Southwest Asia. Type the correct answer in the box. Spell all words correctly. Which type of economy does Sweden have? Many companies in Sweden are in the private sector, while the government regulates business and provides security to citizens through its extensive welfare system. This is a(n) economy.