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Gekata [30.6K]
3 years ago
14

The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas

es by 10% in 10 years. What will be the population in 70 years
Mathematics
1 answer:
pantera1 [17]3 years ago
5 0

Answer:

974

Step-by-step explanation:

Initial × Increase percentage ^ Time

500 × (1 + 10%)^(70/10)

500 × 1.1^7

= 974.36

The population of the town in 70 years will be 974.

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Through:(-1, -2), slope = 5
kherson [118]

Answer:

y=5x+3

Step-by-step explanation:

Hi there!

We're given the point (-1, -2) and a slope of 5. We need to find the equation of the line in slope intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

Since we're already given the slope, we can substitute that immediately into the equation

here it is so far:

y=5x+b

now we need to solve for b

Since the line will pass through the point (-1,-2), we can use it to solve for b

substitute -1 as x and -2 as y into the equation

-2=5(-1)+b

multiply

-2=-5+b

add 5 to both sides

3=b

substitute that into the equation

therefore, the equation of the line is <u>y=5x+3</u>

Hope this helps! :)

6 0
3 years ago
Charles is 20% heavier than Edith. If Charles weighs 60kg, what is Edith's weight?​
ddd [48]

Charles' weight = Edith's weight + 20% of Edith's weight

We'll use a variable to represent Edith's weight, x.

The decimal form of 20% is 0.2.

60 = x + 0.2x

60 = 1.2x

x = 50

Edith's weight is 50kg.

Hope this helps!

4 0
1 year ago
Will mark brainliest whoever answers correctly
LenKa [72]
4 is the greasy common factor
5 0
3 years ago
Read 2 more answers
Marta has 1 cubic yard of sand to build a wall in the shape of a rectangular prism that is 20 inches tall and 5 inches wide. To
DanielleElmas [232]

Answer:

466,56 inches

Step-by-step explanation:

1 yard = 36 inches

1 cubic yard = 36*36*36 = 46656 cubic inches

46656 = 20*5*l => l = 46656/100 = 466, 56 inches

7 0
3 years ago
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Simplify these expressions. a.2r+3+4r. b.8+3d+d. c.mn+ (-3mm)+6 d. 10s + (-10) + (-4s)
Maru [420]

Step-by-step explanation:

<em>Combine like terms</em>

a. 2r + 3 + 4r = (2r + 4r) + 3 = 6r + 3

b. 8 + 3d + d = (3d + d) + 8 = 4d + 8

c. mn + (-3mn) + 6 = (mn - 3mn) + 6 = -2mn + 6

d. 10s + (-10) + (-4s) = (10s - 4s) - 10 = 14s - 10

<em>Terms are called "like terms" if they have the same variable part (the same letters in the same powers). Like terms differ at most coefficient.</em>

7 0
3 years ago
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