All categories

3 years ago

Question 12.12. In 2010, the population of a city was 65,903. It was expected to grow at a rate of 0.7% each year.

Mathematics

1 answer:

postnew [5]3 years ago

8 0

$y=Ce^{kx}$

k=0.7%=0.007

$65903=Ce^{.007(0)} \\ 65903=Ce^0 \\ 65903=C(1) \\ C = 65903$

$y=65903e^{0.007(2027-2010)}\\y=65903e^0.229 \\ y = 74231.157$

The best answer is 74,200

You might be interested in

Urgent please ans this

exis [7]

Answer: No.

Step-by-step explanation:

The absolute value of a number is always positive. So, the absolute value of 17 is 17.

8 0

2 years ago

What greatest three digit number whose hundreds is two less than its ones digit

kodGreya [7K]

Answer:

799

Step-by-step explanation:

Let x = the hundreds digit

Let y = the ones digit

x = y-2

We want to maximize x and y. The both have to be single digit numbers

Rewriting this

x+2 =y

The largest x can be is 7 if y is a single digit

x is 7 and y is 9

We can pick the tens digit. Make it as big as possible to make out number as large as possible

799

4 0

3 years ago

Find the annual rate of interest. Principal = 4600 rupees Period = 5 years Total amount = 6440 rupees Annual rate of interest =

Semmy [17]

Answer:

The rate of interest for compounded annually is 6.96 % .

Step-by-step explanation:

Given as :

The principal amount = Rs 4600

The time period = 5 years

The amount after 5 years = Rs 6440

Let The rate of interest = R %

<u>From compounded method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm Time}$

or, Rs 6440 = Rs 4600 × $(1+\dfrac{\textrm R}{100})^{\textrm 5}$

Or, $\frac{6440}{4600}$ = $(1+\dfrac{\textrm R}{100})^{\textrm 5}$

or, 1.4 = $(1+\dfrac{\textrm R}{100})^{\textrm 5}$

Or, $(1.4)^{\frac{1}{5}}$ = 1 + $\dfrac{R}{100}$

or, 1.0696 = 1 + $\dfrac{R}{100}$

or, $\dfrac{R}{100}$ = 1.0696 - 1

Or, $\dfrac{R}{100}$ = 0.0696

∴ R = 0.0696 × 100

I.e R = 6.96

Hence The rate of interest for compounded annually is 6.96 % . Answer

5 0

2 years ago

Someone plz help me with this

ohaa [14]

Answer:

2.20 y axis 2years T x axis is the answer

6 0

3 years ago

Please help and explain would I still set this up with law of sine or use cosine

Svetach [21]

You would use the tangent first, because the opposite of 40 would be x and the adjacent would be 30ft

4 0

3 years ago