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Anna71 [15]
3 years ago
9

A newspaper for a large city launches a new advertising campaign focusing on the number of digital subscriptions. The equation S

(t)=31,500(1.034)^t approximates the number of digital subscriptions S as a function of t months after the launch of the advertising campaign. Determine the statements that interpret the parameters of the function S(t).
A. The newspaper had 31,500 digital subscriptions when the advertising campaign was launched.

B. The number of digital subscriptions increases by 3.4% each month.

C. The number of digital subscriptions increases by 103.4% each month.

D. The number of digital subscriptions increases by 3.4% each year.

E. The newspaper had 32,571 digital subscriptions when the advertising campaign was launched.
Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0
The answer is c. the number of digital subscriptions increases by 103.4% each month.
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PLEASE HELP
stira [4]

Answer:

The values of x and y are x = 3 and y = 11

Step-by-step explanation:

The isosceles triangle has two equal sides in length, and its base angles are equal in measures

In ΔJKL

∵ ΔJKL is an isosceles triangle with vertex K

→ That means the equal sides are JK and KL

∴ JK = KL

∵ JK = 8x and KL = 13x - 15

→ Equate them

∴ 13x - 15 = 8x

→ Add 15 to both sides

∵ 13x - 15 + 15 = 8x + 15

∴ 13x = 8x + 15

→ Subtract 8x from both sides

∵ 13x - 8x = 8x - 8x + 15

∴ 5x = 15

→ Divide both sides by 5 to find x

∴ x = 3

∵ K is the vertex of the ΔJKL

∴ ∠KJL and ∠KLJ are the base angles

∵ The base angles are equal in measures

∴ m∠KJL = m∠KLJ

∵ m∠KJL = 5y - 3

∴ m∠KLJ = 5y - 3

∵ The sum of the measures of the angles of a Δ is 180°

∴ m∠KJL + m∠KLJ + m∠JKL = 180°

∵ m∠JKL = 76°

→ Substitute the measures of the 3 angles in the equation

∴ 5y - 3 + 5y - 3 + 76 = 180

→ Add the like terms on the left side

∵ (5y + 5y) + (76 - 3 - 3) = 180

∴10y + 70 =180

→ Subtract 70 from both sides

∵ 10y + 70 - 70 = 180 - 70

∴ 10y = 110

→ Divide both sides by 10 to find y

∴ y = 11

∴ The values of x and y are x = 3 and y = 11

5 0
3 years ago
See question in image and show workings​<br><br>Note : 1 nautical mile = 1.86km
ycow [4]

Answer:

a)

AB is on the latitude 30°N.

<u>Find AB:</u>

  • AB = 2*3.142*6400*cos 30°*(32+35)/360 = 6482.15 km

BC is along longitude 35°W

<u>Find BC:</u>

  • BC = 2*3.142*6400*(30 + 20)/360 = 5585.77 km

<u>Total distance traveled:</u>

  • 6482.15 + 5585.77 = 12067.92 km

<u>Convert the distance to nautical miles:</u>

12067.92/1.86 = 6488.13 nautical miles

b)

<u>Find the average speed:</u>

  • 6488.13/22 = 294.92 nautical miles / hour

<u>Note</u>. <em>This is unrealistically high speed for a ship, this must be a plane or the time given wrong.</em>

3 0
2 years ago
Solve this question<br> 2(x+3)=x-4
Whitepunk [10]

Answer:

x=-10

Step-by-step explanation:

2(x+3)=x-4 (Multiply the 2 by the x and the 3);

2x+6=x-4 (Now you group like terms)

2x-x=-4-6

x=-10

8 0
3 years ago
Read 2 more answers
What are the intercepts of 3x -4y=-24
masha68 [24]

Answer:

desmos

Step-by-step explanation:

look up desmos. its a grphing calculator and it gives u all the awnsers. welcome bro

6 0
3 years ago
Read 2 more answers
Circle theorem - easy work
makvit [3.9K]
Angle in a semi circle is 90°
<a = 180-90-<b = 90-28 = 62°

opposite angles of a cyclic quadrilateral sums up to 180°
<b + <a = 180
<b = 180-62
<b = 118°
8 0
4 years ago
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