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makvit [3.9K]
2 years ago
6

Greg invested $9,000 in an investment account that earns 4.2% interest compounded monthly.

Mathematics
1 answer:
Ulleksa [173]2 years ago
6 0

Answer:

Step-by-step explanation:

y=a(1+r/c)^{ct}\\ \\ y=9000(1+.042/12)^{12t}\\ \\ y=9000(1.0035)^{12t}\\ \\ a)\ y=9000(1.0035)^{12(10)}=\$ 13687.61\\ \\ b)\ 15400=9000(1.0035)^{12t}\\ \\ 1.0035^{12t}=77/45\\ \\ 12t ln(1.0035)=ln(77/45)\\ \\ t=(ln(77/45))/(12ln(1.0035))\\ \\ t\approx 12.8\ years

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Evan, Claire, Jaya and Tim are running a 3km relay race.
Kruka [31]

Answer:

Tim needs to finish 59/90

Step-by-step explanation:

Add together what Evan Claire and Jaya ran  

9/10 + 7/9+ 2/3

The common denominator is 90

9/10 (9/9) +7/9 *10/10  + 2/3 *30/30

81/90 + 70/90 + 60/90

211/90

We need 3 km = 3 *90/90 = 270 /90

270/90 - 211/90 = 59/90

5 0
3 years ago
⚠WILL GET BRAINLEST...THE QUESTION IS AT THE BOTTOM ⚠How many solutions does have? O A. Two solutions B. No solutions C. Infinit
Keith_Richards [23]

Answer:

D one solution.

Step-by-step explanation:

It's linear. It is going to have at most 1 solution

8 + x/6 = x/6 - 4 + 5x/12                  Subtract x/6 from both sides

8 = -4 + 5x/12                                   Add 4 to both sides

8+4 = 5x / 12                                    Combine

12 = 5x / 12                                      Multiply both sides by 12

12 * 12 = 5x * 12 / 12                         Cancel

144 = 5x                                            Divide by 5

144/5 = 5x/5

28.8 = x

3 0
2 years ago
Can someone please help me with 44. And 45?
Angelina_Jolie [31]

Problem 44

The term "bisect" means "cut in half".

Since BD bisects angle ABC, this means the smaller angles ABD and DBC are congruent.

angle ABD = angle DBC

x+15 = 4x-45

15+45 = 4x-x

60 = 3x

3x = 60

x = 60/3

x = 20

<h3>Answer:  x = 20</h3>

========================================================

Problem 45

We use the same idea as the previous problem

angle ABD = angle DBC

2x+35 = 5x-22

35+22 = 5x-2x

57 = 3x

3x = 57

x = 57/3

x = 19

<h3>Answer: x = 19</h3>
6 0
2 years ago
Read 2 more answers
What are the solutions to the system of equations? y=2x^2−6x+3 y=2x+3
adoni [48]

Answer:

Step-by-step explanation:

y=2x²-6x+3

y=2x+3

2x²-6x+3=2x+3

2x²-6x+3-2x-3=0

2x²-8x=0

2x(x-4)=0

x=0,4

y=0+3=3

and y=2(4)+3=11

so solutions are (0,3) and (4,11)

5 0
2 years ago
At the end of the year, a library reported 32 books lost or stolen, and 24 books were sent out for repair. If the library origin
Anettt [7]
We subtract 32 and 24 from 1219 and we get the answer. 1219-32-24=1163. 1,163 books were left.
5 0
3 years ago
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