Mathematics High School

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

A kennel owner has 400 feet of fencing to enclose a rectangular dog exercise pen. Express the area of the exercise pen, A, as a function of one of its dimensions, x. A(x) = x(x - 200) A(x) = x(x - 200) A(x) = x(400 - x) A(x) = x(400 - x) A(x) = x(200 - x) A(x) = x(200 - x) A(x) = (200 - x)2

Answers

Answer:

A(x) = x(200-x)

Step-by-step explanation:

400 feet of fencing to enclose a rectangular dog exercise pen means the perimeter of rectangle is 400 feet

If x is length and y is breadth. Perimeter is given by :

P = 2(x+y)

400 = 2(x+y)

⇒ (x+y) = 200 .....(1)

y = 200-x

Area of a rectangle is given by :

A = xy

A(x) = x(200-x)

Hence, the area as a function of length of rectangle is x(200-x).


Eleanor was looking to save money and make her home more energy efficient. She heard about LED
light bulbs but wanted to calculate the actual cost per year before buying them. Eleanor found that
incandescent bulbs cost $0.01 per hour in electricity, while LED's cost $0.0022 per hour. If the average
home has 65 light bulbs and has their lights on for 4 hours per day, what is the savings for 1 year for
Eleanor to switch all of her light bulbs to LED's?

Answers

It’s going be 200 per hour and 70 min

What is the value of x in the equation below?
-3-(-8)-(-2)= X
-13
3
ОО

Answers

Answer:

log2 8=c

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

-3-(-8)-(-2)=

-3+8+2=

7

Algebra II Question Four 4-2 HW

Answers

Answer:

2

Step-by-step explanation:

1.4142 / 2 (must show work)

Answers

Answer:

2.378

Step-by-step explanation:

help please can someone show me how to solve

Answers

Answer:

<DBC= 78

Step-by-step explanation:

since you already know what they equal all together

subtract 42 from 120

The answer is 78 because if the entire angle is 120 and it gives you that 1 part of the angle is 42 you would just subtract it. 120-42= 78

what is 6(x+-2) simplify to ​

Answers

Answer:

6 −12

Step-by-step explanation:

6(−2)

6−12

6x−12

Criss cross algebra
Question : what is =
7/3 = N/21

Answers

Answer:

n=49

Step-by-step explanation:

The answer is N=49.

(Hope this helps)

Han rides his bike for 50 miles over 4 hours. How long will it take him to ride 75 miles?

Answers

Answer:

6

Step-by-step explanation:

[tex]75 \times 4 = 300[/tex]

[tex]300 \div 50 = 6[/tex]

the answer is 6

Answer:

6 miles

Step-by-step explanation:

|6t−7|−8 ≥ 3 Please help me quick

Answers

Hope the answer helps you!!!
:)

what is the second step?

Answers

The third option is your answer

What is the rate of change of the function represented by the table​

Answers

I believe this question is incomplete. I don’t see a table or image attached. Comment if you believe this is wrong and I will do my best to help you

CAN SOMEONE HELP!!! plssss

Answers

Answer:

2 jugs

Step-by-step explanation:

1/3 + 1/3 is 2/3

Answer:

2 mugs

Step-by-step explanation:

To graph ( -5,-8 ) after you go left 5 units what direction will.you have to go

Answers

Answer:

next direction would be 8 units down

Your friend says that there is an angle whose measure is the same as the measure of the sum of its supplement and its complement.

Is your friend correct? What is the measure of the angle?

Answers

Let's check:

Let the angle be x

It's complement is 90-x

It's supplement is 180-x

x = 90 - x + 180 - x

x = 270 - 2x

3x = 270

x = 90

So the angle is 90, it's complementary is 0 and it's supplementary is 90... so 90 = 0 + 90

HELP! will mark branniest answer!

Answers

Answer:

X=-7

Step-by-step explanation:

X+37+x+67=90

2x+104=90

2x=-14

X=-7


Please help if you can!! I would appreciate it alot!



People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?​

Answers

Answer:

44%

Step-by-step explanation:

1144 is 44 percent of 2600

6(8-2x)=4x what is the answer to this equation?​

Answers

Answer:

x=3

Step-by-step explanation:

6(8−2x)=4x

Step 1: Simplify both sides of the equation.

6(8−2x)=4x

(6)(8)+(6)(−2x)=4x(Distribute)

48+−12x=4x

−12x+48=4x

Step 2: Subtract 4x from both sides.

−12x+48−4x=4x−4x

−16x+48=0

Step 3: Subtract 48 from both sides.

−16x+48−48=0−48

−16x=−48

Step 4: Divide both sides by -16.

−16x/−16=−48/−16

are complex numbers considered real numbers?

on this assignment, it's asking me to select which expressions simplify to a real number. some of them (which i already selected) simplify to real numbers but some of the others simplify to a complex number like (3 + i)(i - 4) = -13 - i. can -13 - i be considered a real number or no because it's complex?

Answers

Answer:yes they are considered real numbers

Step-by-step explanation:

Factor completely by grouping.
x^3 + 7x^2 + 9x + 63

Answers

Answer:

(x+7)(x2+9)

Step-by-step explanation:

Answer: x^3+ 261x +63

Step-by-step explanation:

The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p.m. decreased from the high by latex of the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.?

Answers

Complete question :

The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p.m. decreased from the high by the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.?

Answer:

-6°F

Step-by-step explanation:

Temperature at 5am (t1) = - 6°F

Temperature at 3pm (t2) = 36°F

Change in temperature, between 5am and 3pm:

(t2 - t1) = (36 - (-6)) = (36 + 6) = 42°F

Hence, temperature at 8:00 pm:

High temperature - change in temperature between (5am - 3pm)

36°F - 42°F = - 6°F

what is 15,420 divided by 20

Answers

Answer:771

Step-by-step explanation:I did a long division by using a calculator

Answer:

771

I used an app

Given h(x) = -5x + 3, find h(5).

Answers

5x+5=3
5x=-2
X=-2/5
Alternative form is x=-0.4

Find the unit rate 18 cupcakes in 3 boxes

Answers

Answer:

6 cupcakes per box

Step-by-step explanation:

divide 18 by 3

x-14<-6x+7≤13 solve for x

Answers

Answer:

−1  ≤  x  <  3

Step-by-step explanation:

Solve the system of inequalities.

X must be equal to or greater then -1 and smaller then 3.

You options are -1, 0, 1, & 2

HELP PLEASE

What is the result when the number 40 is increased by 50%?

Answers

Answer: really 60

Step-by-step explanation:

60 you take half of what you have which is 20 then add that to what you have

Shelby wrote a 2 1/3 page English paper and a 3 3/4 page History paper. How many total pages did she write?

Answers

Answer: 6 pages

Step-by-step explanation: 2 1/3 + 3 3/4 = 6

Find the distance between the points -6.2 and -9.8.Show your work for full credit.

Answers

Answer:

it is 3.6

Step-by-step explanation:

it's in the pictures below.

A worker takes 1 day to fill 4 crates how long will it take to fill 160 crates

Answers

Answer:

40

Step-by-step explanation:

divide, so 160 divided by 4 equals 40

-6 - 13
I don’t get it can someone explain?

Answers

Subtracting a negative number is basically just addition. Think of it as 6+13, which would be 19.

Answer:

-19

Step-by-step explanation:

So, you can also write this equation as:

-6 + -13 = -19

For example:

You owe your friend $6.

You borrow 13 more dollars from him.

Now you owe him $19.

You have $-19 because you are in debt.

Hope I helped :)

Please consider Brainliest :)

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