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FromTheMoon [43]
2 years ago
14

Please Help! Find the value of c. A. 26 B. 104 C. 52 D. 93.5

Mathematics
1 answer:
Akimi4 [234]2 years ago
8 0

Answer:

  D.  93.5°

Step-by-step explanation:

The measure of c is half the sum of the arcs subtended by the chords that create angle c. Those arcs are 83° (on the right) and 2×52° = 104° (on the left). The average of these two arcs is ...

  c = (83° +104°)/2 = 93.5° . . . . . matches choice D

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Jack deposited $47,323.15 in an account earning 5% interest compounded annually.
Vera_Pavlovna [14]

Answer:

Jack's final bank account amount will be $54,782.50, <em>earning</em> <u>$7,459.31</u> in <em>interest</em>.

General Formulas and Concepts:
<u>Algebra I</u>

Compounded Interest Rate Formula: \displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}

  • <em>A</em> is final amount
  • <em>P</em> is principle amount
  • <em>r</em> is rate
  • <em>n</em> is compounded rate
  • <em>t</em> is time

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given variables</em>.

<em>P</em> = $47,323.15

<em>r</em> = 0.05

<em>n</em> = 1

<em>t</em> = 3

<u>Step 2: Find Interest</u>

  1. [Compounded Interest Rate Formula] Substitute in variables:
    \displaystyle A = 47323.15 \bigg( 1 + \frac{0.05}{1} \bigg) ^{1(3)}
  2. Evaluate:
    \displaystyle A = \boxed{54782.5}

∴ Jack will <em>gain</em> $7,459.31 and have a net balance of $54,782.50.

---

Learn more about Algebra I: brainly.com/question/27710663

---

Topic: Algebra I

5 0
1 year ago
Two of the 240 passengers are chosen at random. Find the probability that
hjlf

Step-by-step explanation:

there are in total 240 passengers.

out of these 240, there are 150+30=180 passengers that are in holiday.

and 240-180 = 60 passengers are not.

if we pick one passenger then the probability is 180/240 = 3/4 = 0.75 that he/she is on holiday.

remember : desired "events" over total "events".

i)

now we pick 2 passengers.

the probabilty for the first one to be on holiday is again

3/4 or 0.75.

if that event happens, then we have only 179 passengers out of now 239 to be on holiday.

and to pick one out of that pool to be on holiday is then

179/239 = 0.748953975...

and for both events to happen in one scenario we need to multiply both probabilities (it is an "and" relation, while an addition would be for an "exclusive or" relation).

the probabilty that we pick 2 passengers on holiday is

3/4 × 179/239 = 0.561715481... ≈ 0.5617

we cannot simply square the basic probability of 0.75 (0.75² = 0.5625), because that would mean we pick one passenger, then put him back into the crowd, and then pick a second time (with a chance to pick the same person again). like with rolling a die.

but that is not the scenario as I understand it. it is to pick a passenger, then keep that person singled out and pick a second passenger. hence the difference.

ii)

exactly one of the two is in holiday.

that means

either the first one is on holiday and the second one is not, or the the second one is and the first one is not.

now we model this logic statement in probabilty arithmetic.

please note that after the first pull we need to update the numbers for the remaining pool depending on the result of the first pull.

the total remaining is in both cases 239. but either the remaining people on holiday go down to 179 (and not in holiday stays 60), or the remaining people not on holiday go down to 59 (and on holiday stays 180).

so, the first one is on holiday, and the second one is not :

3/4 × 60/239 (remember : "and" relation)

= 3 × 15/239 = 45/239 = 0.188284519...

the first one is not on holiday, and the second one is :

60/240 × 180/239 = 1/4 × 180/239 = 45/239 =

= 0.188284519...

since there is no overlap of the potential events (there is no event that could be in both cases), this is an exclusive or relation, and we can add the probabilities.

so, the probability for exactly one of the picked passengers to be on holiday is

2×0.188284519... = 0.376569038... ≈ 0.3766

8 0
2 years ago
Subtract. Use models if needed.<br> (-2x+6)-(13x-16)
qaws [65]
-2x + 6 - 13x + 16
= -15x + 22
4 0
3 years ago
Which line is parallel to 2x - y = -3 and goes through (5, 5)?<br><br>​
Sunny_sXe [5.5K]

Answer:

G. y=2x-5

Step-by-step explanation:

First, find the slope from 2x-y=-3

-y=-2x-3

y=2x+3, which means that the slope is 2

Since it is parallel, the given equation and the line we are finding has the same slope.

let y=mx+b, where m=2, y=5, x=5

5=2(5)+b

5=10+b

-5=b

Thus, y=2x-5

8 0
2 years ago
Read 2 more answers
Carly's dog weighs 25 pounds and her cat weighs 12 pounds how much more does her dog weigh then her cat
Anettt [7]

Answer:

13 pounds

Step-by-step explanation:

21-12=13

7 0
2 years ago
Read 2 more answers
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