Answer:
44.2 years
Step-by-step explanation:
If we assume the interest is compounded annually and the investment is a one-time deposit into the account, its value each year is multiplied by 1+6.25% = 1.0625. After n years, the value in the account will be ...
19000 = 1300·1.0625^n
Dividing by 1300 and taking logs, we have ...
log(19000/1300) = n·log(1.0625)
log(190/13)/log(1.0625) = n ≈ 44.24 . . . . years
It will take about 44.2 years for the account to reach $19,000.
The speed of wind and speed of plane in still air are 23 and 135
km/h respectively.
<u>Step-by-step explanation:</u>
Let the speed of wind and speed of plane in still air are w and p km/h respectively.
The effective speed on onward journey was
................(1)
The effective speed on return journey was
..............(2)
Adding equation (1) and equation (2) we get,
⇒ 
⇒ 
⇒ 
Putting value of
in
we get:
⇒ 
⇒ 
⇒ 
Therefore ,The speed of wind and speed of plane in still air are 23 and 135
km/h respectively.
Since she runs 6
miles each day and there 7 days per week, you will have to multiply 6
times 7.
But since you have to use distributive properties, multiply like this (6
)(7)
6
is equal to 
Now turn 7 into a fraction, so its 
Now multipy (6
)(
)
Multiply the numerators, so its 7 * 13 which gives you 91 and multiply the denominators so its 1 * 2 which gives you 2.
Put that back into a fraction as 
Divde it to change it to a mixed number and the answer is 45
U can pick either point to finish
y - 1 = 2(x-1)
y= 2x-2 +1
y = 2x-1
or
y-5 = 2(x-3)
y = 2x-6+5
y = 2x-1