The deposits Ginny makes at her bank each month form an arithmetic sequence. The deposit for month 3 is $150, and the deposit for month 5 is $180. Answer the questions below and show all work.
Answers
Answer:
d=$15,
Explicit formula:
At 27 month Ginni make a deposit at least $500.
Step-by-step explanation:
Given that the deposits Ginny makes at her bank each month form an arithmetic sequence. The deposit for month 3 is $150, and the deposit for month 5 is $180.
we have to find the common difference i.e d
-- , -- , $150, x, $180 , -------
Let $x be the 4th deposit.
∴ x-150=180-x ⇒ 2x=330 ⇒ x=165
Common difference,d=165-150=$15
Let us find the first tem i.e the value of a
⇒
Explicit formula for arithmetic sequence is
⇒
Now, we have to find the amount of Ginni in 12th deposit i.e n=12
⇒
Now, we have to find at what month Ginni make a deposit at least $500.
⇒
⇒
⇒
hence, at 27 month Ginni make a deposit at least $500.
2. Deposit=15*month+105
3. Deposit=15*12+105=$285
4.
500=15*month+105
395=15*month
26.33=month
Round up to 27 for the nearest whole month, so month 27.
Hope this helps!
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What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = 0 to x = 4?
Answers
ARC = (y2 -y1) / (x2 - x1)
For the first function:
ARC = (64 - 0) / (4 - 0) = 16
For the second function, since it's a line, the ARC would just be equal to the slope
m = ARC = (-1 - 0) / (0 - (-2)) = -0.5
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Therefore, the order of the functions from lest to greatest according to the average rate of change on the interval from x= 0 to x = 4 is:
g(x)
h(x)
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Answer:
the answer for my flvs students is g(x), h(x), f(x)
Step-by-step explanation:
i just took the test
Answers
y=1/4(x-1)²+4
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y - 4 = ¹/₄(x² - x - x + 1)
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+ 4 + 4
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x = ¹/₄ +/- √(4³/₁₆)
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x = ¹/₄ +/- 2.046
¹/₂
x = ¹/₂ + 4.092
x = ¹/₂ + 4.092 x = ¹/₂ - 4.092
x = 4.592 x = 3.592
Answers
Answers
dimes is 0,1 o dolar -d
quarters is 0,25 of dolar -q
dimes =2nickels
d=2n
quarters=2dimes
q=2d=4n
12,5=n(0,05)+2n(0,1)+4n(0,25)
12,5=0,05n+0,2n+n
12,5=1,25n
n=10
q=4n=40
There are 40 quarters
Answers
Answer:
Z
Step-by-step explanation:
The height needs to start at 96
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u = 10 and t = 7
Answers
v=10 + 10 times 7
by order or operations 10 times 7=70 plus 10 is 80
so v=80
if u=10 and t=7
first: plug in the numbers (V=10+10(7))
second: use PEMDAS to solve
Third: 10+ 70=80
V=80