9514 1404 393
Answer:
$1400
Step-by-step explanation:
Let x represent the amount borrowed from Bank 1. For each loan, the interest is given by I=Prt, where P is the principal borrowed at rate r for t years.
Then the total interest over 3 years is ...
3(4.3%·x +5.9%(5400 -x)) = 888.60
-1.6%·x +318.60 = 296.20 . . . . . . . . . . . divide by 3, simplify
-1.6%·x = -22.40 . . . . . . . . . . . subtract 318.60
x = 22.40/0.016 = 1400
The student borrowed $1400 from Bank 1.
You have to find the commons denominator first then do the same thing to the top then you divide
Answer:given below
Step-by-step explanation:
sqrt x^2 +81= x + 10
x^2 + 81 = (x+10)^2
x^2 + 81 = x^2 + 20x + 100
so answer is:
x^2 + 81 = x^2 +20x + 100
..HOPE IT HELPS YOU...ALL THE BEST
Answer: 22 meters
<u>Step-by-step explanation:</u>
Draw a picture of a right triangle and label the height as 30 meters and the hypotenuse as 37 meters. Use the Pythagorean Theorem to find the base (the length of the shadow).
a² + b² = c²
x² + 30² = 37²
x² = 37² - 30²
x² = 1369 - 900
x² = 469
√x² = √469
x = 21.656
x ≈ 22
Answer:
33+12t−21t^2
Step-by-step explanation:
(2t-7)²-(5t-4)²
Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (2t-7)².
4t^2−28t+49−(5t-4)²
Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (5t-4)².
4t^2−28t+49−(25t^2−40t+16)
To find the opposite of 25t^2
−40t+16, find the opposite of each term.
4t^2−28t+49−25t^2−40t+16
Combine 4t^2 and −25t^2 to get −21t^2.
−21t^2−28t+49+40t−16
Combine −28t and 40t to get 12t.
−21t^2+12t+49−16
Subtract 16 from 49 to get 33.
−21t^2+12t+33
Swap terms to the left side.
33+12t−21t^2
I hope this helped!
