Answer:
The principal amont was $35,000
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
In this problem, we have that:
We want to find P. So
The principal amont was $35,000
We will solve this by suing simultaneous equations,
⇒ 5s + 3j = 87
4s + 2j = 64
Multiply the first equation with 4 and the second one with 5, this is to get one of the values equal so that we can cancel them out,
⇒ (5s + 3j = 87) × 4
(4s + 2j = 64) × 5
∴ ⇒ 20s + 12j = 348
20s + 10j = 320
Subtract both the equations. This is how your result (after subtraction) should look like,
⇒ 2j = 28
∴ ⇒ j = $14
Now replace the value of 'j' in one of the original equations,
⇒ 4s + 2(14) = 64
⇒ 4s + 28 = 64
⇒ 4s = 64 - 28
⇒ 4s = 36
∴ ⇒ s = $9
Therefore, one pair of jeans cost $14 and a shirt costs $9
Hope you understood! Feel free to ask me if you didn't understand a step.
Answer:
f(x) = (x - 10) (x + 10)
Step-by-step explanation:
The equation looks like the difference of squares so 5 and 20 are out
-10 x -10 = 100
-10 x 10 = - 100
so (x - 10) (x + 10)
Your going to have to use the distance formula for these questions which is the square root of (x sub 2 - x sub 1) + (y sub 2 - y sub 1). For number 1 your coordinates are (-5,5) and (1,-2). Substituting these values into the formula your answer for number 1 is 9.2.
