Answer:
a. E = 50 H b. 950 dollars
Step-by-step explanation:
a. Since Rachel tutors English for 50 dollars for each hours, her rate is 50 dollar per hour. If she tutors for time, H hours, Her earning E = rate × time = 50 × H
E = 50H.
b. If Rachel's earnings after tutoring for 19 hours is gotten by substituting H = 19 into the equation for the earnings, E.
So, E = 50H
E = 50 × 19
E = 950 dollars.
So, Rachel's earnings after 19 hours is 950 dollars.
Answer: 113, 57, and 66
Step-by-step explanation:
The sum of all of the interior angles can be found using the formula S = (n - 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.
Step-by-step explanation:
We have:
x - y = 43 , xy = 15
To find, the value of x^2+y^2x
2
+y
2
= ?
∴ x - y = 43
Squaring both sides, we get
(x - y)^2(x−y)
2
= 43^243
2
⇒ x^2+y^2x
2
+y
2
- 2xy = 1849
Using the algebraic identity,
(a - b)^2(a−b)
2
= a^2+b^2a
2
+b
2
- 2ab
⇒ x^2+y^2x
2
+y
2
= 1849 + 2xy
Put xy = 15, we get
x^2+y^2x
2
+y
2
= 1849 + 2(15)
⇒ x^2+y^2x
2
+y
2
= 1849 + 30
⇒ x^2+y^2x
2
+y
2
= 1879
∴ x^2+y^2x
2
+y
2
= 1879
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I assume you are looking for the total. The total amount in the account will be $4,781.54 if the interest is compounded annually.
If she is earning 6% interest, the balance in her account will be multiplied by 1.06 each year.
You can evaluate the following expression to find the total.
Answer:
6
Step-by-step explanation:
14/2 - 3 + 6/3
Divide 14 by 2 to get 7.
7−3+6/3
Subtract 3 from 7 to get 4.
4+6/3
Divide 6 by 3 to get 2.
4+2
Add 4 and 2 to get 6.
6