Answer: y-intercept: (0, -0.7) and x-intercept: (-1.2, 0)
Recall: The coordinate of a point is always written as (x,y).
Look to the x- and y-axis and see where there's a point that's exactly on it; that'll be your x- and y-intercept.
The point (0, -0.7) is on the y-axis, so that's your y-intercept. The point (-1.2, 0) is on the x-axis, so that's your x-intercept.
139.49
Step-by-step explanation:
using trig ratios.
tan=o/a
tan74°=n/40
40tan74°=n
use calculator to solve
=139.49
hope this helped :)
Answer:
49% of the pupils are boys and 51% are girls.
Step-by-step explanation:
Alright, so first, you've got to find the total number of students: 567.
Now, to find the value of 1%, you divide 567 by 100, which will give you 5.67.
Next, you divide the number of male students by the value of 1%. That's 278 ÷ 5.67 = 49.0299823633157.
Subtracting that from 100% gives you 50.9700176366843 (percentage of girls)
Now, you can't write all that down, so you'll round it! 49.0299823633157 will round down, because 0 is less than 5, so it's 49%. 50.9700176366843 rounds up, because 9 is greater than 5, so that's 51%.
Therefore, 49% of the pupils are boys and 51% are girls.
I hope this helps!
Answer: $943.11
<u>Step-by-step explanation:</u>
Compound Interest formula is: 
where
- A is the Accrued amount (total earned)
- P is the Principal (amount initially invested)
- r is the interest Rate (convert percent to a decimal)
- t is the Time (number of years)
It is given that; P = 800 r = 4.2% (0.042) t = 4
A = 800(1 + 0.042)⁴
A = 800(1.042)⁴
A = 943.106 → A = 943.11 (rounded to the nearest penny)
Sarah invested $800 for four years at an interest rate of 4.2% and accrued $943.11
You can rewrite the differential equation as
This last expression looks like the one you describe. If you solve for A instead of t, you get
This is the same as your other answer.
