Answer:
The annual loan payments are closest to $3,395.36
Explanation:
The annual payment on the amortized loan can be ascertained using the pmt formula in excel :
=pmt(rate,nper,-pv,fv)
rate is the 9% annual return expected by the uncle
nper is the length of repayment which is 4 years
pv is the amount borrowed which is $11,000
fv is the future worth of the loan which is unknown
=pmt(9%,4,-11000,0)=$3,395.36
The answer is, Fertilizer A = 20, Fertilizer B = 56.
<h3>What is fertilizer and example?</h3>
- Among the organic fertilizers that occur naturally are manure, slurry, worm castings, peat, seaweed, and guano. Crops made of green manure are also raised to enrich the soil with nutrients.
- Organic fertilizers also include naturally occurring minerals including mine rock phosphate, sulfate of potash, and limestone.
<h3>Set up the equations:</h3>
- Nitrogen: 8x + 5y ≥ 440.
- Phosphorous: 2x + 5y ≥ 260.
- Potassium: 4x + 5y ≥ 360.
<h3>Find the vertices:</h3>
- It is easiest to graph the equations to find the vertices. (see attachment).
- You can also solve each system of equations to find the intersected points.
<h3>The following satisfy the "greater than or equal to" requirement:</h3>
- (0, 88) = y-intercept of Nitrogen equation.
- (20, 56) = intersection of Nitrogen and Potassium equations.
- (50, 32) = intersection of Phosphorous and Potassium.
- (130, 0) = x-intercept of Potassium.
<h3>Use vertices in cost function C(x) to find the minimum:</h3>
- C(x) = $30x + $20y.
- (0, 88): $30(0) + $20(88) = $1760.
- (20, 56): $30(20) + $20(56) = $1720 = This is the minimum!
- (50, 32): $30(50) + $20(32) = $2140.
- (130, 0): $30(130) + $20(0) = $3900.
The minimum cost occurs when 20 bags of Fertilizer A and 56 bags of Fertilizer B are purchased.
Learn more about Fertilizer here:
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Answer:
$120
Explanation:
Given:
• Geometric growth rate of existing financial security:
$4 to $8 to $16 to $32 to $64 to $128
• Arithmetic growth rate of underlying assests:
$4 to $6 to $8 to $10 to $12 to $14
From the values, when the price of the underlying assests is $14, the price of the existing financial security is $128.
We are told to that when values of financial secrities increased from $4 to $128, that of underlying assests also increased from $4 to $14. If patterns hold for decreases as well as for increases. Therefore to get the value of financial securities decline if the value of underlying assests suddenly and unexpectedly fell by $6, we have:
Price of underlying assests when decreased by $6 =
$14-$6 = $8.
Therefore, price of existing financial security decline wil be:
$128-$8 = $120
Answer: $412,292
Explanation:
First compute Overhead Absorption Rate = Budgeted Overhead divided by Budgeted Activity Level
In this question the activity level is Direct Labour Hours (DLH) which is the basis for allocating overhead.
budgeted factory overhead for the year at $453,120, and budgeted direct labor hours for the year are 384,000.
$453,120 divided by 384,000 DLH =$1.18
Overheard to be allocated for May is OAR * Actual Activity level
$1.18*349400= $412,292
This is the amount to be allocated to may
The event that will happen if he raised his price is If Kyle raises his price he will lose all of his customers. All of the people want to buy product who is low costing because they can save much money and they hate buying things that is so much expensive. The answer to this question is if Kyle raises his price he will lose all of his customers.
