Answer: =
Write the expressions backward from month 12 to month 1 to get this series:
50 + 50(1.003) + 50(1.003)2 + ... + 50(1.003)11
Convert the series to sigma notation, and find the sum of the 12 terms in the series:
11
S12 50(1.003)
ko
50(1 - 1.00312)
1 - 1.003
610
Esther will have about $610 in her savings account after a year. She would have deposited $600 over 12 months, so she
will have earned $10 in interest.
Step-by-step explanation:
Answer:
(0.118, 4.882)
Step-by-step explanation:
If a motorist drives for m hours at 120km/hr, then the Distance of the motorist is expressed as;
Distance = Speed * time
da = 120m
If he drives n hours at 18km/hr;
db = 18 * n
db = 18n
Speed of the motorist altogether is expressed as;
Speed =78km/5hrs
Speed = 15.6km/hr
SInce the total distnce is 78km
120m + 18n = 78 ....1 ..... * 1
If total time is 5hrs
m + n = 5....2 ...*18
Solve simultaneously
120m + 18n = 78
18m + 18n = 90
Subtract
120m - 18m = 78-90
102m = -12
m = 0.118 hrs
m =
Since m + n = 5
n = 5 - m
= 5 - 12/102
n = 4.882
Hence (m,n) is (0.118, 4.882)
Subtract 14 from 15.96 to find the increase.
15.96 - 14 = 1.96
Divide 1.96 by 14.
1.96 / 14 = 0.14
In percents that is 14%.
This is an increase of 14%.
Hope this helps!
<h2>Repeating Decimal to Fraction</h2>
Note: "..." is the repeating sign I'm using.
Answer: 2/9
<h3>
Steps</h3>
Let X equal the decimal number
Equation 1:
X = 0.2...
With 1 digit in the repeating decimal group,
create a second equation by multiplying
both sides by 10
X * 10 = 10X and 0.2...* 10 = 2.2...
Equation 2:
10X = 2.2...
Subtract equation 1 from equation 2
10X = 2.2... - X = 0.2...
We get
9X = 2
In conclusion, 0.2... = 2/9
<h2>Repeating Decimal to Mixed Number</h2>
This decimal cannot be a mixed number because it has no number in the one's, ten's, or hundred's place.
Answer:
100 oxygen molecules simple math
