Answer:
(5, 2 ) and (- 1, 8 )
Step-by-step explanation:
Given the equations
y = - x + 7 → (1)
y = 0.5(x - 3)²
= 0.5(x² - 6x + 9)
y = 0.5x² - 3x + 4.5 → (2)
Substitute y = - x + 7 into (2)
- x + 7 = 0.5x² - 3x + 4.5 ( subtract - x + 7 from both sides )
0 = 0.5x² - 2x - 2.5 ( multiply through by 2 ) , then
x² - 4x - 5 = 0 ← in standard form
(x - 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 5 : y = - 5 + 7 = 2 ⇒ (5, 2 )
x = - 1 : y = -(- 1) + 7 = 1 + 7 = 8 ⇒ (- 1, 8 )
Answer: 56
Step-by-step explanation:
1. 10+12=22
2. 22+3.4= 56
22
+34
5 6
56 is your anwser
Answer:
A. $4,960
B. 8%
C. $120
Step-by-step explanation:
<u>Part A</u>
The amount in the account at the end of 3 years is the original amount ($4000) plus the earned interest ($960). That sum will be ...
$4,000 + 960 = $4,960 . . . account balance
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<u>Part B</u>
The amount of interest is computed using the formula ...
I = Prt
where I is the interest earned, P is the principal invested, r is the annual rate, and t is the number of years. Putting the given values into this equation, we can solve for r:
960 = 4000·r·3
960/12000 = r = 0.08 = 8%
The interest rate was 8%.
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<u>Part C</u>
The additional interest can be computed using the same formula as for part B.
I = Prt
I = 4000·0.01·3 = 120
The additional interest earned at a 1% higher rate would be $120.
You multiply the amount of mix by 3 and you milk by 3 as well...
Answer:
The measure of the angles would be 40.1 degrees and 49.9 degrees.
Step-by-step explanation:
Complementary angles add up to 90 degrees together.
90 - 9.8 = 80.2
80.2 / 2 = 40.1
Angle 1 = 40.1
Angle 2 = 40.1 + 9.8 = 49.9
Check:
40.1 + 49.9 = 90
