Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
<u>1) Translate the information into equations</u>
"One is 7 more than twice the other"
⇒ 
"The sum of the numbers is 43"
⇒ 
<u>2) Use substitution to solve for the smaller number</u>
Plug the equation into the above equation
Subtract both sides by 7
Divide both sides by 3 to isolate x
Therefore, the smaller number equates to 12.
<u>3) Use substitution to solve for the greater number</u>
Plug in x as 12
Subtract both sides by 12 to isolate y
Therefore, the greater number equates to 31.
I hope this helps!
Ya is = 10x-28 see the picture for explanation
Answer:the smallest possible sum of the two numbers is 537
Step-by-step explanation:
Two three-digit numbers are made up of six different digits.
To interpret this, let the two three digit numbers be;
ABC and. DEF
The first digit of the second number is twice as big as the last digit of the first number.
Interpret;
D=2C
The first digit of the first number can be 1, the second digit 0 and the third digit 2.
102.
For the second number:
D=2C
The first digit is 4, second digit 3 and last digit 5 since no repetition of digits
435.
Answer:the smallest possible sum of the two numbers is
102+435= 537
For a single payment with compound interest, the equation to use is F=P(1+i)^n where F is the value after n periods, P is the present value, and i is the interest rate.
If we want the final value F to double in 5 years, F is then equal to P then n=5. The equation is now:
2P=P(1+i)^5
2=(1+i)^5
i=14.87% per year
