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Marta_Voda [28]
3 years ago
6

A business associate who owes Ana $4,000 offered to pay her $3,800 now or to pay her $2,000 now and $2,000 two years later. Usin

g only financial reasons to make her decision, and assume that the interest is compounded continuously, she should switch choices at the annual interest rate
Mathematics
2 answers:
____ [38]3 years ago
7 0
I think it will be 11,800 all u do is add
Evgen [1.6K]3 years ago
6 0
She should choose $2,000 now, and $2,000 dollars later.
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X=−4a 2 +3ab+12b 2 Y=9a 2 +ab−7b 2 ​ Y+X=Y+X=Y, plus, X, equals
dimaraw [331]

Answer:

5a  

2

+4ab+5b  

2

Step-by-step explanation:

step  1. (((0-(4•(a2)))+3ab)+(12•(b2)))+(((9•(a2))+ab)-7b2)

 step 2. (((0-(4•(a2)))+3ab)+(12•(b2)))+((32a2+ab)-7b2)

step 3.(((0-(4•(a2)))+3ab)+(22•3b2))+(9a2+ab-7b2)

step 4. (((0-(4•(a2)))+3ab)+(22•3b2))+(9a2+ab-7b2)

step 5. 5.1    Factoring    5a2 + 4ab + 5b2

6 0
3 years ago
With a full 12-gallon tank of fuel, Dillon’s car can travel about 420 miles. At that rate, about how far can Dillon’s car travel
Xelga [282]
175 miles~~~~~~~~~~~~

3 0
4 years ago
What is the pattern (these are not ratios) 11 to 25, 27 to 41, 43 to 57, 59 to 73, __ __ __ __ __ __ __ __
Nuetrik [128]

Answer:

75, 89, 91, 105, 107, 121, 123, 137

Step-by-step explanation:

If you analyze how much each number is increased, you will notice it alternates between adding 2, then adding 14:

11 + 14 = 25.

25 + 2 = 27.

27 + 14 = 41.

41 + 2 = 43.

43 + 14 = 57.

57 + 2 = 59.

59 + 14 = 73.

That means you can simply, finish the pattern, alternating between adding 2 and 14. Then you will get these answers.

5 0
3 years ago
Read 2 more answers
Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?
BlackZzzverrR [31]

Answer:

\boxed{\sf a = 9 }

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

\sf\longrightarrow 3x - 2y +7=0

\sf\longrightarrow 6x +ay -18 = 0

Step 1 : <u>Conver</u><u>t</u><u> </u><u>the </u><u>equations</u><u> in</u><u> </u><u>slope</u><u> intercept</u><u> form</u><u> </u><u>of</u><u> the</u><u> line</u><u> </u><u>.</u>

\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}

and ,

\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}

Step 2: <u>Find </u><u>the</u><u> </u><u>slope</u><u> of</u><u> the</u><u> </u><u>lines </u><u>:</u><u>-</u>

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

\sf\longrightarrow Slope_1 = \dfrac{3}{2}

And the slope of the second line is ,

\sf\longrightarrow Slope_2 =\dfrac{-6}{a}

Step 3: <u>Multiply</u><u> </u><u>the </u><u>slopes </u><u>:</u><u>-</u><u> </u>

\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1

Multiply ,

\sf\longrightarrow \dfrac{-9}{a}= -1

Multiply both sides by a ,

\sf\longrightarrow (-1)a = -9

Divide both sides by -1 ,

\sf\longrightarrow \boxed{\blue{\sf a = 9 }}

<u>Hence </u><u>the</u><u> </u><u>value</u><u> of</u><u> a</u><u> </u><u>is </u><u>9</u><u> </u><u>.</u>

8 0
3 years ago
These lines are below are parallel if the slope of the green line is -4 what is the slope of the red line
Alja [10]

Answer:

The slope would also be -4.

Step-by-step explanation:

This is because parallel lines have the exact same slope. Since these two lines are parallel and the first has a slope of -4, the second must as well.

7 0
3 years ago
Read 2 more answers
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