4 years ago

PLEASE HELP ASAP!!!!!!!!!!!

Mathematics

1 answer:

Serga [27]4 years ago

4 0

$8x^2y^{-2}=\dfrac{8x^2}{y^2}\\\\\\\dfrac{8\cdot(-1)^2}{2^2}=\dfrac{8\cdot1}{4}=\dfrac{8}{4}=\boxed{2}$

Answer A)

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Sue has an annual interest income of $3390 from two investments. She has $10,000 more invested at 8% than she has at 6%. Find th

olchik [2.2K]

Answer:

$18500 at 6% and $28500 at 8%

Step-by-step explanation:

Let x represent the amount invested at 6%. Then x+10000 is the amount invested at 8%. The total income from the two investments is the sum of the products of the amount invested and the interest rate:

x·6% +(x+10000)·8% = 3390

0.14x + 800 = 3390 . . . . . . . . collect terms

0.14x = 2590 . . . . . . . . . . . . . .subtract 800

2590/0.14 = x = 18500 . . . . . divide by the coefficient of x

Sue has invested $18500 at 6% and $28500 at 8%.

7 0

3 years ago

the admission fee for a charity event is 7 dollars for children and 10 dollars for adults the event was attended by 700 people a

ollegr [7]

Given:
$7/child
$10/adult
Total people = 700
Total money = $6,400

First, make two equations.
Let a = # of adults & Let c = # of children.
Let p = total people

1. a+c = 700
2. 10a+7c = 6,400

Then, rearrange the equation to solve for a variable.
c = 700-a

Substitute (700-a) for c, or the # of children in the second equation.
10a+(700-a) = 6400
9a+700 = 6400
9a+700-700 = 6400-700
9a = 5700
9a/9 = 5700/9
a = 633 $\frac{1}{3}$ = # of adults attended

700-633 $\frac{1}{3}$ = c = 66 $\frac{2}{3}$ = # of children attended

4 0

3 years ago

The probability of a certain plant growing taller than 4 meters is 1/3. If I plant 2 of these plants, find the probability that

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