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Rainbow [258]
1 year ago
7

1. The population of a town was 5655 in 2010. The population grows at a rate of 1.4% annually.

Mathematics
1 answer:
DaniilM [7]1 year ago
6 0

Answer:

Step-by-step explanation:

a) We would use the formula for exponential growth model which is expressed as

y = b(1 + r)^t

Where

y represents the population after t years.

t represents the number of years.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 5655

r = 1.4% = 1.4/100 = 0.014

Therefore, the equation would be

y = 5655(1 + 0.014)^t

y = 5655(1.014)^t

b) in 2022, t = 2022 - 2010 = 12 years

y = 5655(1.014)^12

y = 6682

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Solve for x: three fourths times x plus five fourths equals four times x
denis-greek [22]

Answer:

The value of x for the given expression is \dfrac{5}{13}

Step-by-step explanation:

Given as :

The statement is , three fourths times x plus five fourths equals four times x

So, \dfrac{3}{4} × x + \dfrac{5}{4} = 4 × x

<u>Now, rearranging the equation</u>

i.e 4 x -  \dfrac{3}{4} × x = \dfrac{5}{4}

Or, 4 x -  \dfrac{3 x}{4}  = \dfrac{5}{4}

Or, \dfrac{16 x - 3 x}{4}  = \dfrac{5}{4}

Or, \dfrac{13 x}{4}  = \dfrac{5}{4}

Or, 13 x = \dfrac{5}{4} × 4

Or, 13 x = 5

∴ x = \dfrac{5}{13}

Hence, The value of x for the given expression is \dfrac{5}{13} Answer

5 0
1 year ago
Which geometric solids would model the tent?
aivan3 [116]

a cylinder and a cone. the cone would go on the top, and the cylinder on the bottom.

8 0
2 years ago
Read 2 more answers
An entry level web developer's annual pay is $55,640 based on 52 weeks per year. Due to the economy, his company is having to cu
katen-ka-za [31]

Answer:

Reduction = \$3300

Step-by-step explanation:

Given

Pay\ for\ 52\ weeks = \$55,640

Required

Determine the reduction when paid is reduced to 49 weeks

First, we need to determine the weekly pay

Weekly\ Pay = \frac{\$55,640}{52}

Weekly\ Pay = \$1070

Next, is to determine the pay for 49 weeks;

Pay = Weekly\ Pay * 49

Pay = \$1070 * 49

Pay = \$52430

Subtract the 49 week pay from 52 weeks pay to get the payment reduction;

Reduction = \$55640 - \$52340

Reduction = \$3300

5 0
1 year ago
The point guard of a basketball team has to make a decision about whether or not to shoot a three-point attempt or pass the ball
melamori03 [73]

the expected value for the 3 point shot = (3 * 0.30) + (0 * 0.70) = 0.90

the expected value for the 2 point shot = (2 * 0.48) + (0 * 0.52) = 0.96

the expected value for the 2 point shot is higher than the 3 point shot so he should pass the ball

5 0
2 years ago
In the Fall STA 2023 Beginning of the Semester Survey, students were asked how many parties they attended every week and how man
Shtirlitz [24]

Answer:

-95.78

Step-by-step explanation:

As the researcher decided to make the number of parties attended per week the explanatory variable, this would be variable x in the regression line, and of course, the variable y would be the number of text messages sent per day.

After constructing the linear regression equation, the researcher found that an approximate value \hat y for the actual value of y could be represented by the line

\hat y=64.96+25.41x

Since this is an approximate value, it is not expected that it coincides with the actual value of y. We define then the residual for each value of x as the difference between the actual value of y and the approximation for the given x.

For the value x = 2 (the student attended 2 parties that week) the actual value of y is 20 (the student sent 20 text messages per day that week).

The approximate value of y would be according to the regression line

\hat y(2)=64.96+25.41(2)=64.96+50.82=115.78

Hence, the residual value for x=2 would be

y_{real}-\hat y=20-115.78=-95.78

5 0
2 years ago
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