Answer:
4/3<x<7
Step-by-step explanation:
Given the inequalities
3 < 3 x − 1 < 2 x + 6
Add 1 to all sides
3+1 < 3x-1+1<2x+6+1
4 < 3x < 2x + 7
Split
4 < 3x
3x > 4
x > 4/3
4/3 <x
Also
3x < 2x + 7
3x-2x < 7
x <7
Combine
4/3<x<7
Hence the required solution is 4/3<x<7
Answer:
The width of the greenhouse is 54 meters.
Step-by-step explanation:
Answer:
<em>He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins</em>
Step-by-step explanation:
<u>System of Equations</u>
Let's call
x = pounds of trail mix 5% raisins
y = pounds of trail mix 20% raisins
The distributor wants to make 1,000 pounds of trail mix, thus:
x + y = 1,000 [1]
The mix must be 8% raisings as a combination of x and y, thus:
5x + 20y = 8*1,000 = 8,000
Dividing by 5:
x + 4y = 1,600 [2]
Subtracting [2] and [1]:
4y - y = 1,600 - 1,000
Operating:
3y = 600
y = 200
From [1]
x = 1,000 - y = 1,000 - 200
x = 800
He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins
To determine the value of the given algebraic expression above, we simply substitute the values of each variable to the variables in the expression and evaluate the expression. We do as follows:
6x(y^2)(z)
when x = 0.5
y = -1
z = 2
6(0.5)((-1)^2)(2)
3(1)(2)
6
The value of the algebraic expression would be 6. An algebraic expression consists of variables which are represented with letters like for this case x, y and z, a coefficient which is indicated by numbers (e.g. 6 ) and exponents like 2 for the expression above. Often times expressions contains a number of terms which consists of those elements.
Hi there
For the first question use the formula of the present value of annuity due
The formula is
Pv=pmt [(1-(1+r/k)^(-n))÷(r/k)]×(1+r/k)
Pv present value?
PMT monthly payment 95
R annual interest rate 0.2379
K compounded monthly 12
N time 7 months
Pv=95×((1−(1+0.2379÷12)^(
−7))÷(0.2379÷12))×(1+0.2379÷12)
=627.45 closed to 637.13 because the question mentioned the minimum monthly payment which is 95 while the exact monthly payment of 637.13
Is 96.47
The second question is the same and easier using the formula of the present value of annuity ordinary
First find the present value by subtracting the amount of down payment From the purchase price
20,640−2,440=18,200
Now find the monthly payment using the formula of
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Solve for pmt
PMT=pv÷[(1-(1+r/k)^(-kn))÷(r/k)]
Pv 18200
R 0.104
K 12
N 5 years
PMT=18,200÷((1−(1+0.104÷12)^(
−12×5))÷(0.104÷12))
=390.29
Total paid amount of monthly payment times number of months in a year times the term of the loan to get
390.29×12×5
=23,417.28
Finally how much you paid including down payment
23,417.28+2,440
=25,857.40. ..answer
Good luck!
