The equation a = 100 + 75d represents Maria's account balance.
<u>Step-by-step explanation:</u>
Given that,
- Maria opened a new savings account with an initial deposit of $100.
- She deposits $75 into this savings account every two-weeks.
You need to find the equation to represent Maria's account balance, a after she has completed d deposits.
- Let 'd' be the number of deposits Maria made after the initial deposit.
- Let 'a' be the total account balance after 'd' deposits.
Therefore, the equation for the total account balance can be framed as the sum of the initial deposit and amount deposited after that.
<u>To find the amount that was deposited after the initial deposit :</u>
⇒ $75 × number of times Maria deposited.
⇒ 75 × d
The equation is written as,
⇒ a = 100 + 75d
Hence the equation a = 100 + 75d represents Maria's account balance.
Answer:
Step-by-step explanation:
-3x - 5 = 16
add 5 to both sides of the equation
-3x = 21
divide both sides by -3
x = -7
---------------------
-4(y - 2) = 12
distribute the -4 to everything in the parentheses
-4y + 8 = 12
subtract 8 from both sides of the equation
-4y = 4
divide both sides of the equation by -4
y = -1
Answer:
Step-by-step explanation:
Proportional relationship means,
x ∝ y
x = ky
where 'k' is the proportionality constant.
From table (1),
Therefore, relationship is not proportional.
From table (2),
True.
So the relationship will be proportional.
From table (3),
Which is constant.
Therefore, relationship will be proportional.
From table (4),
Which is constant for every term.
Therefore, relationship will be proportional.
((6)^3 (g^5)^3 (h)^3 + (-4)^3)
(216 x g^15 x h^3 - 64
216g^15h^3 - 64
Answer:
The sine and cosine functions have several distinct characteristics: They are periodic functions with a period of 2π. ... The graph of y = sin x is symmetric about the origin, because it is an odd function. The graph of y = cos x is symmetric about the y-axis, because it is an even function.
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