Calculate the change in GPE stored when a 15 kg post driver is lifted by 70 cm

Chelsea took out three loans for a total of $ 78 comma 000 78,000 to start an organic orchard. Her business-equipment loan was

lianna [129]

Answer:

Business-equipment loan, A=$15000

Small-business loan, B=$24000

home-equity loan, C= $39000

Step-by-step explanation:

Let the Business-equipment loan at an interest rate of 11%=A

Let the small-business loan was at an interest rate of 5% =B

Let her home-equity loan was at an interest rate of 4.5%.=C

Since her total Loan=$78000

A+B+C=78000....(I)

Simple Interest = (P X R X T)/100

Since the Time, T=1 year

Interest on A = 0.11A

Interest on B = 0.05B

Interest on C = 0.045C

The total simple interest due on the loans in one year was $4605.

0.11A+0.05B+0.045C=4605....(II)

The annual simple interest on the home-equity loan was $105 more than the interest on the business-equipment loan.

0.045C = 0.11A +105...(III)

We proceed to solve the simultaneous equations.

A+B+C=78000....(I)

0.11A+0.05B+0.045C=4605....(II)

0.045C = 0.11A +105...(III)

From (III), 0.045C = 0.11A +105

Substitute 0.045C = 0.11A +105 into (II).

0.11A+0.05B+0.11A +105=4605

0.22A+0.05B=4500

From (III),

$C=\frac{22A}{9}+\frac{7000}{3}$

Substitute into (I)

$A+B+\frac{22A}{9}+\frac{7000}{3}=78000$

$\frac{31A}{9}+B=78000-\frac{7000}{3}$

$\frac{31A}{9}+B=\frac{227000}{3}$

$\frac{31A+9B}{9}=\frac{227000}{3}$

3(31A+9B)=9 X 227000

31A+9B=681000

0.22A+0.05B=4500 (Multiply by 9)

31A+9B=681000 (Multiply by 0.05)

1.98A+0.45B=40500

1.55A+0.45B=34050

Subtracting

0.43A=6450

A=$15000

From (III)

$C=\frac{22A}{9}+\frac{7000}{3}$

$C=\frac{22X15000}{9}+\frac{7000}{3} =39000$

C=$39000

from (I)

A+B+C=78000

15000+B+39000=78000

B=$24000

8 0

3 years ago

Kahlil is recording a beat for a song that he is working on he wants the length of the beat to be more than 17 seconds long. His

Svet_ta [14]

In the problem, the length of the beat is take by variable T.

According to problem,

Kahlil wants, "the length of the beat to be more than 17 seconds long".

We took length of beat by variable T.

Therefore, the length of the beat to be more than 17 seconds long could be rephrase as

" T is more than 17".

And in inequality form we can write it as

T>17.

Now, Kahlil's friend told that "beat needs to be 9 seconds longer than that".

So, 17 longer than 9 is 17+9=26.

But as we can see that the beat should be longer than 17 but less than 26 (because 26 is the maximum length in seconds suggested by friend).

So, the final beat should be less than 26.

And we would setup an inequality as

T < 26.

Therefore, Correct option is option D) T < 26 ; 8, 6, 5.

5 0

2 years ago

What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice 35- x

Anna11 [10]

You can multiply both sides of the equation by 12 to remove the fractions.

12(35 - x/4) = 12(x/3)

420 - 12x/4 = 12x/3

420 - 3x = 4x

Add 3x to both sides:

420 = 7x

Divide 7 to both sides:

x = 60

8 0

2 years ago

Read 2 more answers

What is f(-3) for the function f(a)=-2a2-5a+4?

posledela

Answer:

-25

Step-by-step explanation:

2a² - 5a + 4, for f(-3)

2(-3)² -5(-3)+4

2*(-27)+15+4

-54+19

= -25

4 0

2 years ago

According to Thomson Financial, last year the majority of companies reporting profits had beaten estimates. A sample of 162 comp

Debora [2.8K]

(8xd) or ur ganna be (78b)

4 0

2 years ago