Answer:
18 and 31
Step-by-step explanation:
Let the number be x and y and y be the smaller number
Given
condition 1:
difference between two numbers is 13.
Mathematical expression for this will be
x-y = 13 ( taking x as larger and y as smaller number)
=> x = 13+y (1)
________________ ____________________________
Condition 2:
twice the smaller plus three times the larger is 129
Twice the smaller is equal as 2y
three times the larger is 3x
according to question
3x+2y = 129
substituting value of x from equation 1 we have
3(13+y) +2y = 129
=> 39+3y+2y = 129
=> 39+5y = 129
=> 5y = 129 - 39 = 90
=> y = 90/5
=> y = 18
Thus, y = 18
and x = 13+y = 13+18 = 31
Therefore, two numbers are 18 and 31.
The ratio needs to be turned into a fraction. So we write 2:3 as 2/3. Since it can’t be reduced any further the answer is 2/3.
If you’re asking for a simplification: 5+p
2/3 = 8/12
5 1/4 = 21/4 = 63/12
63 divide by 8 is 7.875
7 batches should be your answer
hope this helps
Hi there
First find the monthly payment of each offer to see which monthly payment is lower
The formula of the present value of annuity ordinary is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value
PMT monthly payment
R interest rate
K compounded monthly 12
N time
Solve the formula for PMT
PMT=pv÷[(1-(1+r/k)^(-kn))÷(r/k)]
Bank F
PMT=16,200÷((1−(1+0.057÷12)^(
−12×8))÷(0.057÷12))
=210.53
Bank G
PMT=16,200÷((1−(1+0.062÷12)^(
−12×7))÷(0.062÷12))
=238.21
From the above the monthly payment of bank f is lower than the bank g
And since the lifetime of bank g is lower than bank f the answer is
b. Yvette should choose Bank F’s loan if she cares more about lower monthly payments, and she should choose Bank G’s loan if she cares more about the lowest lifetime cost.
Good luck!
