1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MArishka [77]
2 years ago
8

In a two digit number, the tens digit is 2 less than the units digit multiplied by three. The reversed number is half the origin

al number plus 1/2. What is the origional number.
Pls Help. Offering 40 points!
Mathematics
1 answer:
Papessa [141]2 years ago
8 0

Answer:

73

Step-by-step explanation:

Original number: XY

x = 3y - 2

10y + x = (10x + y) / 2 + 1/2

substitution: 10y + 3y - 2 = 13y - 2 = (10 * (3y - 2) + y) / 2 + 1/2

* 2 both sides and simplify: 26y - 4 = 31y - 19

31y - 26y = -4 + 19

5y = 15

y = 3

x = 7

Original number: 73

You might be interested in
Account A and Account B both have a principal of $2,000 and an annual interest rate of 2%. No additional deposits or withdrawals
GuDViN [60]

Answer:

Account B earns more interest.

After 20 years, account B will have earned $171.89 more.

Step-by-step explanation:

Let's calculate the total for each account.

Account A:

Account A earns simple interest. We know that the principal value is $2000 and the interest rate is 2% or 0.02. We can use the simple interest formula:

A=P(1+rt)

Where A is the future value, P is the principal, r is the rate, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, and 20 for t. This yields:

A=2000(1+0.02(20))

Multiply and add:

A=2000(1+0.4)=2000(1.4)

Multiply. So, the total amount of money in Account A after 20 years is:

A=\$2800

Since we initially deposited $2000 and our total is now $2800, this means that we earned an interest of 2800-2000=\$ 800

Account B:

Account B earns compound interest. Like Account A, Account B has a principal value of $2000 and the interest rate is 2% or 0.02. We also know that it's compounded annually, so once per year. We can use the compound interest formula:

B=P(1+\frac{r}{n}})^{nt}

Where B is the future value, P is the principal, r is the rate, n is the times compounded per year, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, n for 1 (since it's compounded annually), and t for 20. This yields:

B=2000(1+\frac{0.02}{1})^{(1)(20)}

Simplify this to acquire:

B=2000(1.02)^{20}

Evaluate. Use a calculator. So, after 20 years, the amount of money in Account B is:

B\approx\$2971.89

Since our principal was $2000, this means that we earned an interest of approximately  2971.89-2000=\$ 971.89.

So, Account A earned an interest of $800 and Account B earned an approximate interest of $971.89.

So, Account B earned more interest.

And it earned 971.89-800=\$ 171.89 more than Account A.

And we're done!

5 0
3 years ago
Fined the missing angle for the triangle. Angle 1=72 Degrees. Angle 2 =74Degrees. Angle 3 = ???Degrees
gulaghasi [49]
72 + 74 is 146.
The angle sum of a triangle is 180.
180 - 146 is 34.
8 0
3 years ago
Read 2 more answers
Which of the following linear expressions CANNOT be factored?
Rzqust [24]

It's really easy lol the answer is A) 15x+22

7 0
3 years ago
Read 2 more answers
Let r=.05 be the reserve rate. Which one of the following is the money multiplier?
Lady_Fox [76]
The formula for the money multiplier is :
1/ Reserve rate
so, the answer would be :
1/0.05
5 0
3 years ago
Read 2 more answers
PLEASE HELP ME WITH THIS QUESTION!! Thanks
Gre4nikov [31]

Answer:

20% probability

Step-by-step explanation:

First, we need to calculate the area of all the figures inside the rectangle.

Area of triangle= 1/2 BH

So, 3x2=(6)

Area of Square= L^2

3x3=(9)

Area of rectangle= LxW

=60.

60+9+6= 75.

75 is the total area.

Now, lets find the added area of only the triangle and square.

9+6= 15

The probability will be 15/75=

Convert into percent form

= 20%

Hope this helps and please mark me brainliest :)

7 0
1 year ago
Other questions:
  • I need help please ASAP !!!
    9·1 answer
  • Rotate the triangle on the graph 90° counterclockwise about the origin. Determine the orientation of the triangle after the rota
    12·1 answer
  • wendy already spent $10 on a necklace, and each additional charm is priced at $2 each. write a function that shows the relations
    9·1 answer
  • Evaluate the following:
    7·1 answer
  • Which is the graph of the cube root function f(x) = 3√x
    8·2 answers
  • Use the quadratic form to solve 6x^2+3x+2=0.
    12·1 answer
  • What is the volume of this 3 dimensional figure
    9·2 answers
  • 1. Mildred Dunbar works as a waitress at Famous Foods.
    6·1 answer
  • In circle P, PQ = 3 in. What is the circumference of the circle?
    10·1 answer
  • The circle graph shows how Justin's family budgets a total of $6300 for the month.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!