Answer:
After 25 years, Cooper will have $29,093.01 in his savings account.
Step-by-step explanation:
While Cooper opened an emergency savings account of $ 20,000, which yields an annual interest of 1.5% compounded monthly, to determine how much money he will have in his account after 25 years, the following calculation must be performed:
X = 20,000 (1 + 0.015 / 12) 25x12
X = 29,093.01
Therefore, after the passage of 25 years, Cooper will have $ 29,093.01 in his savings account.
<h3><u>Question</u><u>:</u></h3>
<u>The difference between a 2-digit number and the number formed by reversing its digits is 45. If the sum of the digits of the original number is 13, then find the number. </u>
<h3><u>Statement</u><u>:</u></h3>
<u>The difference between a 2-digit number and the number formed by reversing its digits is 45. </u><u>T</u><u>he sum of the digits of the original number is 13</u><u>.</u>
<h3><u>Solution:</u></h3>
- Let one of the digit of the original number be x.
- So, the other digit = (13-x)
- Therefore, the two digit number = 10(13-x) + x = 130-10x+x = 130-9x
- The number obtained after interchanging the digits is 10x+(13-x) =9x+13
- Therefore, by the problem
130-9x-(9x+13) = 45
or, 130-9x- 9x-13 = 45
or, -18x = 45-130+13
or, -18x= -72
or, x = 72/18 = 4
or, x = 4
- So, the original number = 130-9x = 130 -9(4) = 130 - 36 = 94
<h3>Answer:</h3>
The number is 94.
I think the answer you have given isn't right. The answer should be 94.
Step-by-step explanation:
The difference in the formula of population and sample variance can be explained as:
Population variance is said to be the value of variance that is calculated from population data, whereas sample variance refers to the variance calculated from sample data. This is the reason why value of denominator in the formula for variance in case of sample data is ‘n-1’, while it is ‘n’ for population data. Hence, the result of both variance and standard deviation derived from sample data is larger than those found out from population data.
Answer:
distance=90km
time=1.5h
speed of the bus=distance /time
speed of the bus=90km/1.5h
speed of the bus=60km/h
therefore if 1.5h=60km/h
then 7.2h=(7.2x60)/1.5 =288km
Answer:
-4
Step-by-step explanation:
4x+3y=-1
3x + y=-7
Solve for Y
3x+y=-7
-3x. -3x
y= -3x - 7
Plug in Y into the top equation
4x + 3 (-3x - 7) = -1
Distribute the Parenthesis
4x -9x-21=-1
Combine Like terms
-5x = 20
Divide by -5 on both sides
20/-5
x = -4
