Given:
Leela invests 500 at 4.5%
VI = 500 x 1.045^t
Adele invests 500 at 4.5% but 2 years before Leela invested
Vi = 500 x 1.045^2+t
<span>The total value of Adele’s account is approximately what percent of the total value of Leela’s account at any time, t?
</span>
[500 x 1.045^2+t / 500 x 1.045^t] * 100%
1.045² x 100% = 1.092 x 100% = 109.2%
To check: t =1
Adele: 500 x 1.045^2+1 = 500 x 1.045³ = 570.58
Leela: 500 x 1.045^1 = 500 x 1.045 = 522.50
570.58 / 522.50 = 1.092
1.092 x 100% = 109.20%
Answer:
the center of the circle would/should be (0,0)
Answer:
x = -19/2 y = -33/2
Step-by-step explanation:
x - (3x + 12) = 7
x - 3x - 12 = 7
-2x - 12 = 7
-2x = 19
x = -19/2
x - y = 7
-19/2 - y = 7
-y = 33/2
y = -33/2
Answer:
- 6 2/3 qt 80%
- 13 1/3 qt 20%
Step-by-step explanation:
It is often convenient to solve a mixture problem by letting a variable represent the quantity of the higher-concentration contributor to the mix.
__
We can let x represent the number of quarts of 80% solution needed. Then (20-x) is the number of quarts of 20% solution needed. The amount of salt in the final mix is ...
0.80x +0.20(20-x) = 0.40(20)
0.60x = 0.20(20) . . . . . . . . subtract 0.20(20) and simplify
x = 20/3 = 6 2/3 . . . . . . . . . divide by 0.60; quarts of 80% solution
(20 -x) = 13 1/3 . . . . . . . . . . amount of 20% solution needed
The teacher should mix 6 2/3 quarts of 80% solution with 13 1/3 quarts of 20% solution.
Answer:
<h2>
2x + 3y = 33 </h2>
Step-by-step explanation:
As we move from (-2, 5) to (1, 3), x increases by 3 and y decreases by 2.
Hence, the slope of this line is m = rise / run = -2/3.
Start with the slope-intercept form y = mx + b.
Substitute 3 for y and 1 for x and -2/3 for m:
3 = (-2/3)(1) + b.
Remove fractions by mult. all three terms by 3:
9 = -2 + b, so b = 11, and y = (-2/3)x + 11
Again, mult. all three terms by 3:
3y = -2x + 33, or, in standard form,
<h2>
2x + 3y = 33 </h2>
