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Zolol [24]
2 years ago
15

Given that $A = (\sqrt{2008}+\sqrt{2009}),$ $B = (-\sqrt{2008}-\sqrt{2009}),$ $C = (\sqrt{2008}-\sqrt{2009}),$ and $D = (\sqrt{2

009}-\sqrt{2008}),$ find $ABCD.$
Mathematics
1 answer:
kipiarov [429]2 years ago
6 0

Answer:

ABCD = 0.803

Step-by-step explanation:

A = \sqrt{2008}+\sqrt{2009} \\A = 44.81 + 44.82\\A = 89.63

B = -\sqrt{2008}-\sqrt{2009}\\B = -44.81 - 44.82\\B = -89.63

C = \sqrt{2008}-\sqrt{2009}\\C = 44.81 - 44.82\\C = - 0.01

D = \sqrt{2009}-\sqrt{2008}\\D = 44.82 - 44.81\\D = 0.01

ABCD = 89.63 * (-89.63) * (-0.01) * (0.01)

ABCD = 0.803

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The rabbit population in a certain area is 500​% of last​ year's population. There are 1,100 rabbits this year. How many were th
andreev551 [17]

Answer:

5,500 rabbits

Step-by-step explanation:

500% of something is 5 times the original amount. 1,100 rabbits times 5 equals 5,500.

8 0
2 years ago
A landscape supply business charges $35 to deliver mulch. The cost of the mulch is $29.
Scorpion4ik [409]

Answer:

$209

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept (initial value)

Let

x ----> the volume of mulch in cubic yards

y ----> the total cost in dollars

we have that

The slope of the linear equation is

m=29\ \frac{\$}{yd^3}

b=\$35 ----> flat fee to deliver mulch

The linear equation is

y=29x+35

For x=6 yd^3

substitute in the equation and solve for y

y=29(6)+35

y=\$209

4 0
2 years ago
Ali, Ben and Clare each played a game. Clare's score was seven times Ali's score. Ben's score was half of Clare's score. Write d
Lerok [7]

Answer:

The answer is 2 : 7 : 14

8 0
2 years ago
Lina has 12 coins in her purse. D of them are dimes and the rest are quarters.
SVETLANKA909090 [29]

Answer:

she has 12 - D quarters.

She has 24 (12-D) cents in quarters

Step-by-step explanation:

You know that the number of coins, and you know the number of dimes - even if the amount is a variable - you can find the amount of quarters with an equation.

If you knew that Lina had 6 dimes instead of D, you would say 12 - 6 and get the number of quarters. You can do the same thing here.

and If you know Lina has 6 quarters, you could find the amount of money in cents by multiplying 6 by 25. You can do that here too, but with variables and an equation.

8 0
2 years ago
Drag each situation to show whether it can be modeled using a linear or an exponential function. If the situation cannot be mode
lawyer [7]

Answer:

Step-by-step explanation:

A). An investment account earns 2.8% simple interest.

    Since investment amount increases every year linearly, therefore, the modeled situation represents a LINEAR FUNCTION.

B). The price of a stock varies by 2.8% each week.

    Since price of the stock may increase or decrease every week, therefore, this situation can't be modeled by any function.

Therefore, the answer is NEITHER.

C). An investment account earns 2.8% compound interest, compounded monthly.

Formula to get the value of the final amount in the account is,

Final value = Initial value × (1+\frac{.028}{100})^t

Here 't' = Duration of investment

It's an EXPONENTIAL FUNCTION.

3 0
2 years ago
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