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3 years ago

5

A city has the population of 210,000 people. Suppose that each year the population grows by 7.5%. What will the population be af

ter 13 years?

1 answer:

Nady [450]3 years ago

8 0

Answer:

6 5

Step-by-step explanation:

4 5 6 7

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A carpenter cut the top section of a window frame with a 37° angle on each end. The side pieces each have a 50° angle cut at the

mrs_skeptik [129]

Hello, There is a new Hero in the neighborhood and that's The Human Spider

Answer:

No, in order for the sides to be parallel, same side interior angles should be supplementary... in your diagram, (50+37) + (50+37) = 174

Step-by-step explanation:

Look above!

Note: If you loved this answer why not mark Brainliest? click that cool Mark brainliest button!

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Your friendly neighborhood Human Spider.

8 0

3 years ago

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The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its

Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

<em>Shape: Triangle</em>

<em>Represent the height with h and the base with b</em>

$b = 3 + 2h$

$Area = 22$

Required

Find the length of the base

The area of a triangle is calculated as thus;

$Area = \frac{1}{2} * b * h$

Substitute 22 for Area and 3 + 2h for b

The formula becomes

$22 = \frac{1}{2} * (3 + 2h) * h$

Multiply both sides by 2

$2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h$

$44 = (3 + 2h) * h$

Open the bracket

$44 = 3 * h + 2h * h$

$44 = 3h + 2h^2$

Subtract 44 from both sides

$44 - 44 = 3h + 2h^2 - 44$

$0 = 3h + 2h^2 - 44$

Rearrange

$0 = 2h^2 +3h - 44$

$2h^2 +3h - 44 = 0$

At this point, we have a quadratic equation; which is solved as follows:

$2h^2 +3h - 44 = 0$

$2h^2 + 11h - 8h - 44 = 0$

$h(2h + 11) - 4(2h + 11) = 0$

$(h - 4)(2h + 11) = 0$

Split the above

$(h - 4) = 0\ or\ (2h + 11) = 0$

$h - 4 = 0\ or\ 2h + 11 = 0$

Solve the above linear equations separately

$h - 4 = 0$

Add 4 to both sides

$h - 4 + 4 = 0 + 4$

$h = 0 + 4$

$h = 4$ ---- <em>First value of h</em>

$2h + 11 = 0$

Subtract 11 from both sides

$2h + 11 - 11 = 0 - 11$

$2h = 0 - 11$

$2h = -11$

Divide both sides by 2

$\frac{2h}{2} = -\frac{11}{2}$

$h = -\frac{11}{2}$ <em> ------ Second value of h</em>

Since height can be negative, we'll discard $h = -\frac{11}{2}$

Hence, the usable value of height is $h = 4$

Recall that $b = 3 + 2h$

Substitute 4 for h

$b = 3 + 2(4)$

$b = 3 + 8$

$b = 11$

Hence, the length of the base is 11 meters

3 0

3 years ago

A store has caps on display. Five of the caps are red. There are 4 more blue caps than green caps. There are 3 fewer yellow caps

Anton [14]

R=5
B=4+G
Y=G-3
R+B+Y+G=24
(5)+(4+G)+(G-3)+G=24
5+4+G+G-3+G=24
3G+6=24
3G=18
G=6
B=4+(6)
B=10
Y=(6)-3
y=3
answer
R+B+Y+G=24
5+10+3+6=24

8 0

3 years ago

Could somebody help me with this question please?

ELEN [110]

The answer would be 20. Because the whole angle would have to be 90 so you already have 30 so that leaves you with 60 which you divide by 3 and gives you 20

4 0

3 years ago

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3. In 2014, a small town had a population of 27,000 people. Since 2014, the town

WITCHER [35]

Answer:

38,340

Step-by-step explanation:

you take 6% of 27000 and multiply it by 7 years and then add the original 27,000

7 0

3 years ago

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