Add up all the lengths of the garden and you will be able to get the perimeter.
We can substitute<span> y in the second </span>equation<span> with the first </span>equation<span> since y = y. The solution of the </span>linear<span> system is (1, 6). You can use the </span>substitution method<span> even if both </span>equations<span> of the </span>linear<span> system are in standard form. Just begin by solving one of the </span>equations<span> for one of its variables.</span>
Answer:
The 6% simple interest account earns more interest in 2 years.
Step-by-step explanation:
You can compare the multipliers in the interest formulas.
For simple interest, the amount in the account (A) starting with principal P and earning at rate r for t years will be ...
A = P(1 +rt)
For the values given, r=.06 and t=2, the multiplier is ...
1 +rt = 1 +.06·2 = 1.12
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For interest compounded annually, the amount will be ...
A = P(1 +r)^t
For the given values, the multiplier is ...
(1+r)^t = (1.04)^2 = 1.0816
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Since 1.12 > 1.0816, the account earning simple interest will earn more interest.
To determine the time it takes for the maximum height to be achieved, derive the equation and equate to zero.
h = -16t² + 112t + 30
dh / dt = 0 = 2(-16)t + 112
The value of t is 3.5 s. Substitute this value of time to the equation for h,
h = -16 x (3.5 s)² + 112 x 3.5 s + 30 = 226 ft
Thus, the answer is letter D.
As we did in the previous problem, we need to remove the parenthesis using distributive property so as to be able to combine like terms.
The first paranthesis is positive, so nothing changes as we remove it:
8 j^3 + 9 j^2 + 6 j + 8 - (j^2 + 8)
before removing the second parenthesis, we realize it is preceded by the negative sign of the indicated subtraction. Then as we remove the parenthesis, we flip the signs of all terms inside it:
8 j^3 + 9 j^2 + 6 j + 8 - j^2 - 8
now we combine like terms + 8 and - 8, rendering a zero "0". and we also combine the terms that contain j^2 : 9 j^2 - j^2 = 8 j^2.
Therefore, our final expression becomes:
8 j^3 + 8 j^2 + 6 j
