Answer:
- $8000 at 1%
- $2000 at 10%
Step-by-step explanation:
It often works well to let a variable represent the amount invested at the higher rate. Then an equation can be written relating amounts invested to the total interest earned.
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<h3>setup</h3>
Let x represent the amount invested at 10%. Then 10000-x is the amount invested at 1%. The total interest earned is ...
0.10x +0.01(10000 -x) = 280
<h3>solution</h3>
Simplifying gives ...
0.09x +100 = 280
0.09x = 180 . . . . . . . subtract 100
x = 2000 . . . . . . divide by 0.09
10000 -x = 8000 . . . . amount invested at 1%
<h3>1.</h3>
$8000 should be invested in the 1% account
<h3>2.</h3>
$2000 should be invested in the 10% account
Step-by-step explanation:
By using Implicit Differentiation,
d/dx (y² + xy - x²) = d/dx (11x)
d/dx (y²) + d/dx (xy) - d/dx (x²) = 11
2y * dy/dx + x * dy/dx + y - 2x = 11
dy/dx (2y + x) = 11 + 2x - y
dy/dx = (11 + 2x - y) / (2y + x).
At the point (2, 3), we have x = 2, y = 3.
=> dy/dx = (11 + 2(2) - (3)) / (2(3) + (2))
= 12 / 8 = 1.5.
P.S. Your question is weird because (2,3) is not on the graph, let me know what is the correct question thanks!
Answer:
x = 16.5
Step-by-step explanation:
Use pythagorean theorem
a² + b² = c²
Plug in terms
7.1² + x² = 18²
Square each term
50.41 + x² = 324
Subtract a from c
x² = 273.59
Find square root
16.5
Answer:
<u>The probability that the first card is gray and the second card is pink= 5/78</u>
Step-by-step explanation:
A deck of cards has a 5 pink, 2 gray, And 6 black cards.
The total cards = 5 + 2 + 6 = 13
You pick two cards from the deck without replacement.
The probability that the first card is gray = 2/13
The remaining cards = 13 - 1 = 12
The probability that the second card is pink = 5/12
So,
The probability that the first card is gray and the second card is pink =
= 2/13 * 5/12 = 10/156 = 5/78
