Answer:
Step-by-step explanation:
The n th term of a geometric sequence is
= a₁
where a₁ is the first term and r the common ratio
here a₁ = 10 and r = 
, thus
= 10 × 
= 10 × 
=
Answer:
1/3
Step-by-step explanation:
To find the scale factor write a ratio from the side length of the small triangle to a corresponding side length of the large triangle.
C'B' has the distance 3 units and CB has the distance 9 units.
The ratio then is 3/9 = 1/3. So the scale factor is 1/3 because it is shrinking the larger triangle to the smaller as shown by the ' marks on the letters.
Answer:
a) $520
b) $580
c) Interest amount is same each year
Step-by-step explanation:
Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.
To find - a) How much money was in the account after one year?
b) How much money was in the account after 4 years?
c) Was the amount of money earned in interest the same or different each year?
Proof -
Here given that,
Principal amount = $500
rate of interest = 4% = 4/100 = 0.04
Now,
a)
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(1)]
= 500 [ 1 + 0.04] = 520
⇒Amount = $520
b)
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(4)]
= 500 [ 1 + 0.16] = 580
⇒Amount = $580
c)
In 2nd year,
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(2)]
= 500 [ 1 + 0.08] = 540
⇒Amount = $540
Now,
Interest in 1st year = 520 - 500 = 20
Interest in 2nd year = 540 - 520 = 20
So,
The interest amount is same each year
Hi!
I believe the answer is D , because the common denominator is 12 .
3 times 4=12
4 times 3=12
2 times 6= 12
You multiply each fraction by 12/1 .
Hope it helps and have a wonderful day !
