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Ber [7]
3 years ago
14

Adirondack Savings Bank (ASB) has $5 million in new funds that must be allocated to home loans, personal loans, and automobile l

oans. The annual rates of return for the three types of loans are 7% for home loans, 12% for personal loans, and 9% for automobile loans. The bank's planning committee has decided that at least 40% of the new funds must be allocated to home loans. In addition, the planning committee has specified that the amount allocated to personal loans cannot exceed 60% of the amount allocated to automobile loans.(a) Formulate a linear programming model that can be used to determine the amount of funds ASB should allocate to each type of loan to maximize the total annual return for the new funds.(b) How much (in dollars) should be allocated to each type of loan? 1) What is the total annual return (in dollars)?2) What is the annual percentage return?
Mathematics
1 answer:
Vesna [10]3 years ago
5 0
Ggvvvv cds exhhhbdfxeccff
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Jeremy claims that if a linear function has a slope of the same steepness and the same y-intercept as the linear function in the
4vir4ik [10]

Answer: It is only the 3rd equation that is a good example to Jeremy's argument. Others are counter examples to Jeremy's argument.

Step-by-step explanation:

Let us consider the general linear equation

Y = MX + C

On a coordinate plane, a line goes through points (0, negative 1) and (2, 0). 

Slope = ( 0 - -1)/( 2- 0) = 1/2

When x = 0, Y = -1

Substitutes both into general linear equation

-1 = 1/2(0) + C

C = -1

The equations for the coordinate is therefore

Y = 1/2X - 1

Let's check the equations one after the other

y = negative one-half x minus 1

Y = -1/2X - 1

y = negative one-half x + 1

Y = -1/2X + 1

y = one-half x minus 1

Y = 1/2X - 1

y = one-half x + 1

Y = 1/2X + 1

It is only the 3rd equation that is a good example to Jeremy's argument. Others are counter examples to Jeremy's argument.

7 0
3 years ago
Read 2 more answers
Can anyone do these? Thanks.
user100 [1]
1. -1, 2,8,11

plug the values into the equation and solve
7 0
3 years ago
What is 78507 divided by 1000?
Romashka [77]
Ur answer is going to be 78.507
3 0
3 years ago
Is the answer D or A
raketka [301]
Well an axis is like the whole line, so I would think its A, hope this helps.
7 0
3 years ago
Read 2 more answers
C is the point on the line y = 2x + 1 where x = 2<br> Find the co-ordinates of the mid-point of BC.
inysia [295]

Based on the calculations, the coordinates of the mid-point of BC are (1, 4).

<h3>How to determine coordinates of the mid-point of BC?</h3>

First of all, we would determine the initial y-coordinate by substituting the value of x into the equation of line that is given:

At the origin x₁ = 0, we have:

y = 2x + 1

y₁ = 2(0) + 1

y₁ = 2 + 1

y₁ = 3.

When x₂ = 2, we have:

y = 2x + 1

y₂ = 2(2) + 1

y₂ = 4 + 1

y₂ = 5.

In order to determine the midpoint of a line segment with two (2) coordinates or endpoints, we would add each point together and divide by two (2).

Midpoint on x-coordinate is given by:

Midpoint = (x₁ + x₂)/2

Midpoint = (0 + 2)/2

Midpoint = 2/2

Midpoint = 1.

Midpoint on y-coordinate is given by:

Midpoint = (y₁ + y₂)/2

Midpoint = (3 + 5)/2

Midpoint = 8/2

Midpoint = 4.

Therefore, the coordinates of the mid-point of BC are (1, 4).

Read more on midpoint here: brainly.com/question/4078053

#SPJ1

7 0
1 year ago
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