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2 years ago

If BA + C = D, solve for A

2 answers:

8 0

To solve for A, we just have to isolate A on one side of the equation, like this:

$BA+C=D \\ (BA+C)-C=(D)-C \\ BA=D-C \\ (BA)/B=(D-C)/B \\ A= \frac{D-C}{B}$

The answer is A=(D-C)/B.

Hope this helps!

ehidna [41]2 years ago

4 0

BA + C = D

Subtract C on both sides

BA + C - C = D - C

BA = D - C

Divide B on both sides

$\frac{BA}{B} =\frac{D-C}{B}\\\\\ \boxed{\bf{A =\frac{D-C}{B}}}$

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A carpool service has 2,000 daily riders. A one-way ticket costs $5.00. The service estimates that for each $1.00 increase to th

solmaris [256]

Answer:

Total number of riders that ride on carpool daily = 2000

Total Cost of one way ticket = $ 5.00

Total Amount earned if 2000 passengers rides daily on carpool = 2000 × 5

= $10,000

If fare increases by $ 1.00

New fare = $5 + $1

= $6

Number of passengers riding on carpool = 2,000 - 100 = 1,900

If 1,900 passengers rides on carpool daily , total amount earned ,if cost of each ticket is $ 6 = 1900 × $6 = $11400

As we have to find the inequality which represents the values of x that would allow the carpool service to have revenue of at least $12,000.

For $ 1 increase in fare = (2,000 - 1 × 100) passengers

For $ x increase in fare, number of passengers = 2,000 - 100·x

= (2,000 - 100·x) passengers

New fare = 5 + x

New Fare × Final Number of passengers ≥ 12,000

(5+x)·(2,000 - 100 x) ≥ 12,000

5 (2,000 - 100 x) + x(2,000 - 100 x) ≥ 12,000

10,000 - 500 x + 2,000 x - 100 x² ≥ 12,000

100 - 5 x + 20 x - x² ≥ 120

- x² + 15 x +100 - 120 ≥ 0

-x² + 15 x -20 ≥ 0

x² - 15 x + 20 ≤ 0

⇒ x = 1.495

x ≥ $ 1.495, that is if we increase the fare by this amount or more than this the revenue will be at least 12,000 or more .

Also, f'(x) = 0 gives x = 7.5

⇒ The price of a one-way ticket that will maximize revenue is $7.50

7 0

1 year ago

Wanahton is cooking a breadstick on a rectangular baking sheet measuring 9\dfrac129

salantis [7]

Answer:

The longest bread stick is approximately 16 in

Explanation:

The diagram representing the tray is shown in the attached image

From the diagram, we can note that the diagonal of the tray represents the hypotenuse of a right-angled triangle having legs 9.5 in and 13 in

Therefore, to get the length of the hypotenuse, we can use the Pythagorean equation which is as follows:

c² = a² + b²

where c is the length of the hypotenuse and a and b are the length of the two legs

Substitute with the givens in the above equation to get the length of the hypotenuse as follows:

c² = (9.5)² + (13)² = 259.25

c = 16.1 in which is approximately 16 in

From the above, we can conclude that:

The longest bread stick that can be fit straight along the diagonal of the tray is approximately 16 in

Hope this helps :)

7 0

1 year ago

A bank account earned 3.5% continuously compounded annual interest. After the initial deposit, no deposits or withdrawals were m

aalyn [17]

This question is incomplete. Below is the complete question:

A bank account earned 3.5% continuously compounded annual interest. After the initial deposit, no deposits or withdrawals were made. At the end of an 8 year period, the balance in the account was $13231.30. what is the amount of the initial deposit?

Answer: The initial deposit is $10,001

Step-by-step explanation:

To solve this we need to utilize the continuous compounding interest formula:-

Fv = Pv × e^(i × t)

Where, Fv = the future value

Pv = present value

i = the interest rate

t = the time in years

e = a mathematical constant that is usually approximated by 2.7183

In this case, the Fv = 13,231.30

i = 3.5% or 0.035

t = 8 years

e = 2.7183

Pv = ? (The unknown variable).

13,231.30 = Pv × [2.7183^(0.035 × 8)]

13,231.30 = Pv × [2.7183^(0.28)]

13,231.30 = Pv × 1.323

Pv = 13,231.30/1.323

Pv = $10000.98

= $10,001

Therefore the initial deposit is $10,001

8 0

1 year ago

The table shows how an elevator 500 feet above the ground is descending at a steady rate.

Snezhnost [94]

We are given that the elevator is descending, so the coefficient of t must be negative. The elevator's initial position is 500 feet above the ground, so this is a positive value of +500. Therefore the only choice that fits these is h(t) = -5t + 500.

6 0

1 year ago

Read 2 more answers

John is 4 years older than Becky, and John’s and Becky’s combined ages is 58. How old are Becky and John?A. Becky is 26; John is

Levart [38]

Answer:

Answer C: Becky is 27; John is 31

Step-by-step explanation:

1. John is 4 years older than Becky--27(Becky's age)+ 4=31(John's age)

2. Sum of their ages is 58--27(Becky's age)+31(John's age)=58

So, the correct answer is Answer C.

3 0

1 year ago

Read 2 more answers