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Butoxors [25]
2 years ago
6

In a certain year, the population of Smallburg was $4{,}000.$ In the following year, the population increased by $15\%.$ What wa

s the resulting population?
Mathematics
1 answer:
makkiz [27]2 years ago
5 0

Answer:

4,600

Step-by-step explanation:

To solve this problem, we need to multiply add 15% of 4,000 back to 4,000.

First, change 15% into a decimal:

15% -> \frac{15}{100} -> 0.15

Next, multiply 4,000 by 0.15:

x= 4,000(0.15)

x=600

The last step is to add the 600 back to 4,000:

4,000 + 600 = 4,600

The population of Smallburg the following year was 4,600.

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the runner's time to complete the marathon is 45 minutes. The time to complete the last marathon was 49.5 minutes. What is the p
Lana71 [14]

Answer:

9.09%

Step-by-step explanation:

To find percent decrease you have to use this equation:

Percent Decrease = \frac{Initial -New}{Initial} x 100

Initial = 49.5

New = 45

Plug in and solve:

PD = \frac{49.5-45}{49.5} x 100\\\\PD = \frac{4.5}{49.5} x 100 \\\\PD = 0.0909 x 100\\\\PD = 9.09

The percent decrease is 9.09%

<em>Hope this helps!!</em>

<em>- Kay :)</em>

6 0
3 years ago
Find the angle measurements and side lengths for the triangle below
rewona [7]

Answer:

Step-by-step explanation:

Sin(A) = 5/7

Sin(A) = 0.7143

A = sin-1(0.7143

A = 45.58

B = 180 - 45.58 - 90

B =  44.43

C = 90

c = 7

a = 5

b^2 = c^2 - a^2

b^2 = 7^2 - 5^2

b^2 = 49 - 25

b^2 = 24

b = 4.899

4 0
2 years ago
Solve for x. please show work
Mazyrski [523]
Those 2 angles makes up corresponding angles in parallel lines. Which means, both two angles equal to each other because this is a rule that exists when both of the lines are parallel to each other which is indicated with red arrows in the photo.
75 = 11x - 2
75 + 2 = 11x
77 = 11x
X = 77 / 11
X = 7
The answer is 7.
3 0
3 years ago
What would y equal if you substituted 2 in y+2x=3
Ivahew [28]

Answer:

-1

Step-by-step explanation:

Given the equation:

y+2x=3

Substitute x=2 into this equation:

y+2\cdot 2=3\\ \\y+4=3

Subtract 4:

y+4-4=3-4\\ \\y=-1

8 0
3 years ago
XYZ Corporation operates two plants, each of which has a capacity of 100 units per day. Each day, XYZ must ship their product to
Strike441 [17]

9514 1404 393

Answer:

  1. {20, 20, 20, 40} units to {A, B, C, D}
  2. {0, 0, 0, 100}

  minimum shipping cost: 3000

Step-by-step explanation:

In general, shipping costs more from Plant 1. The excess costs to ship to customers A, B, C, D are, respectively, (24-18) = 6, (21-16) = 5, (19-19) = 0, (18-10) = 8.

The greatest excess cost is for shipping to customer D from plant 1, so we want to ship as many units as possible to customer D from plant 2.

Shipments from Plant 2 to Customers {A, B, C, D} = {0, 0, 0, 100}.

Then the remaining shipments are fulfilled from Plant 1.

Shipments from Plant 1 to Customers {A, B, C, D} = {20, 20, 20, 40}.

The amount spent on shipping each day is ...

  100×10 +20×24 +20×21 +20×19 +40×18

  = 20×(50 +24 +21 +19 +36) = 3000 . . . . daily shipping cost

6 0
2 years ago
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