Lets x and y are 2 accounts Paige invested
x account invested with annual interest rate 8.5%
y account invested with annual interest rate 10%
x + y =<span>15,250 so x = 15,250 - y
0.085x + 0.1y = </span><span>1,411.75
substitute </span>x = 15,250 - y into 0.085x + 0.1y = 1,411.75
0.085x + 0.1y = 1411.75
0.085(15,250 - y) + 0.1y = 1,411.75
1,296.25 - 0.085y + 0.1y = 1,411.75
0.015y = 115.5
y = 7,700
x = 15,250 - y
x = x = 15,250 - 7,700
x = 7,550
answer
$7,550 invested on account with annual interest rate 8.5%
$7,700 invested on account with annual interest rate 10%
Answer:
A.
Step-by-step explanation:
Step 1: Write equation
x² - 8x = 3
Step 2: Solve for <em>x</em>
- Complete the Square: x² - 8x + 16 = 3 + 16
- Factor: (x - 4)² = 19
- Square root both sides: x - 4 = ±√19
- Add 4 to both sides: x = 4 ± √19
Answer:
337.406388 or 337 people
Step-by-step explanation:
To figure this out, use the compound interest (compounding number?) equation which is Amount = People(1 + rate)^time
So if you fill that out you get
A = 20,000(.96)^100
A = 20,000(0.0168703194)
A = 337.406388
<em>10 meters.</em>
Step-by-step explanation:
To find the missing side of a right triangle, we can use the <u>Pythagorean theorem</u>.
The Pythagorean theorem is...
Please be sure to note that a and b will <em>always </em>be the length of the sides and c will <em>always </em>be the hypotenuse, or in this case the ramp.
Since we know the values of both of the sides we can plug this into the theorem.
Now we can solve.
Add.
Many people will make the mistake of thinking 100 is the final answer, but since c is squared we need to find the square root of 100.
c = 10
<em><u>The ramp is 10 meters.</u></em>
