Answer:
i this like true or false,if so its true
:)
Step-by-step explanation:
A) 3/4 is equal to 0.75. 1/2 is equal to 0.5. You need to find out how many parts of the grape juice you have. So you take your 9 quarts and divide it by 0.75. That equals 12. So for the 9 quarts you need, you will add 12 parts of the 3/4. Now you need to add 12 1/2s as well. So 1/2 (or 0.5) multiplied by 12 is 6. So your answer would be 6 quarts
Given: <span>9=(1/27)^(a+3)
[Note: Please review rules of PEMDAS.
The question posted as is means
</span><span>9=[(1/27)^a]+3 which is probably not what you mean. It has been interpreted with (a+3) as the exponent, please check.]
</span><span>
Need to find value of a that satisfies above.
We will first isolate a in order to solve for its value.
</span>9=(1/27)^(a+3)
Switch unknown to the left
(1/27)^(a+3) = 9
Since both 27 and 9 are powers of 3, we can take log to base 3.
take log (base 3) on both sides, applying rule of logarithm of exponents.
(a+3)log_3(1/27)=log_3(9)
(a+3)log_3(3^(-3))=log_3(3^2)
Apply definition of logarithm [log_a(a^k)=k]
(a+3)(-3)=2
(a+3)=-2/3
a=-3 2/3=-11/3
Check: (1/27)^(-11/3+3)=(1/27)^(-2/3)=(3^(-3))^(-2/3)=3^(-3(-2/3))=3^2=9 ok
Answer: a=-11/3 or a=-3.667 (approx.)
Answer:X=4 and Y=8
Step-by-step explanation:
TRUST ME.
Answer:
$29,005.97
Step-by-step explanation:
Cn = Co * (1 + i)^n
Cn = 104,986.99(1+.05/1)^(1*5)
Cn = 104,986.99(1+.05)^5
Cn = 104,986.99(105)^5
Cn = 104,986.99(1.2763)
Cn = 133,992.96, total money at end
133,992.96-104,986.99= $29,005.97, interest accumulated