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Elina [12.6K]
3 years ago
12

Thor invests $3000 in an account, with interest compounded continuously. If his investment doubles in value after 7.2 years, wha

t interest rate is he earning? [Use the formla A = Pert and round answer to the nearest tenth.]
A) 8.5%
B) 9.6%
C) 12.3%
D) 14.0%
Mathematics
1 answer:
sladkih [1.3K]3 years ago
8 0

Answer:

B.  9.6 %.

Step-by-step explanation:

A = P e^rt

His investment doubles so it comes to  3000 * 2 = $6000.

Substituting in the formula>

6000 = 3000e^7.2r   ehere r  is the interest rate.

e^7.2r = 2

Taking logs

7.2r = ln 2

r = ln2 / 7.2

r = 0.096

So the rate is 9.6%.

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Can someone please help me I keep getting the same answer
beks73 [17]

Answer:

  • (5, -20)

Step-by-step explanation:

<u>Given</u>

  • - 6x + y = -50
  • y = -4x

<u>Solution</u>

  • - 6x + (-4x) = -50
  • -10x = -50
  • x = -50/-10
  • x = 5
  • y = -4*5 = -20

5 0
4 years ago
The cost of 5 hats and 1 scarf is $47. The cost of 2 hats and 2 scarves is $40. How much does one hat cost?
stepan [7]

Answer:

6.75

Step-by-step explanation:

h=hat, s=scarf

5h + 1s = $47 (equation 1)

2h + 2s = $40 (equation 2)

multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)

equation 3 minus equation 2, we get:

8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75

substitute h = $6.75 into equation 2 to find s,

2($6.75) + 2s = $40

$13.5 + 2s = $40

2s = $26.5

s = $13.25 ⇔ 1 scarf cost $13.25

6 0
3 years ago
Polygon ABCD is a przimage of an enlargement with a scale factor of 3 and a
Flura [38]

i dont think you have a whole question down and we need examples of the triangles so please shw examples

4 0
3 years ago
Pls help answer question in picture
spayn [35]

Step-by-step explanation:

2 1/3

=2*3+1/3

=7/3

7 0
3 years ago
Which expressions are completely factored? Select each correct answer. 30a6−24a2=3a2(10a4−8) 16a5−20a3=4a3(4a2−5) 12a3+8a=4(3a3+
irinina [24]

When factoring an expression, we need to identify the Greatest Common Factor of the expression (GCF). By definition, GCF is the product of prime factors involved with its Lowest Exponent.

We need to divide each term by the GCF to get the expression inside the parenthesis.

30a^6-24a^2\\ GCF\; is \; 6a^2\\ \\ 30a^6-24a^2=6a^2(\frac{3a^6}{6a^2} -\frac{24a^2}{6a^2} )=6a^2(5a^4-4)\\ ---------------------\\ \\ 16a^5-20a^3\\ GCF \; is \; 4a^3\\ \\ 16a^5-20a^3=4a^3(\frac{16a^5}{4a^3} -\frac{20a^3}{4a^3})=4a^3(4a^2-5) \\ ---------------------\\ \\ 12a^3+8a\\ GCF \; is \; 4a\\ \\ 12a^3+8a=4a(\frac{12a^3}{4a}+\frac{8a}{4a})=4a(3a^2+2)\\   ---------------------\\ 24a^4+18\\GCF \; is \; 6\\\\24a^4+18=6(\frac{24a^4}{6} +\frac{18}{6})=6(4a^4+3) \\    ---------------------

Conclusion:

From above we can conclude that the below expressions are factored completely

16a^5-20a^3=4a^3(4a^2-5)\\ \\ 24a^4+18=6(4a^4+3)

6 0
3 years ago
Read 2 more answers
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