Need answer ASAP it’s for geometry class and it’s a unit test

The population of a town is 81,712 and declines continuously at a rate of 4.1% each year. What is the approximate population of

Ganezh [65]

Data:

P (Final population) = ?
Po (Initial population) = 81712
r (rate) = 4,1% = 0,041
t (time in years) = 17

$P = Po - (Po*r*t)$
$P = 81712 -(81712*0,014*17)$
$P = 81712 - 56953.264$
$P =24758.736$
$\boxed{P \approx 24759}$

Answer:
B) 24759

4 0

3 years ago

How Do You Write .0676767 In Scientific Notation?

evablogger [386]

6.8 x 10^-2

The scientific notation of 70, 030, 000. To find the scientific notation of this value 
1. We first move the period which separates the whole number from the decimal number which is located after the numbers of the given value.
2. We move it in the very recent order number which is seventy million, seven and zero. 
3. It becomes 7.003
4. Thus we count how many moves we did from the tens to the ten million order place. 
5. 7.003 x 10^7

4 0

3 years ago

Carly placed 50 marbles in a bag. Fifteen of the marbles are pink, 8 marbles are black,

yuradex [85]

When you go into this problem, you want to figure out your marble ammount to 50 so in this case we will say C for color and 50 for the total ammount of marbles.

We know 15 are pink, 8 are black, 2 are green, 18 are clear, and 7 are striped

15P/50

8B/50

2G/50

18C/50

7S/50 for a total of 50 marbles

Now we use the chart to decide our awnsers

A. We know our propability of drawing a green and clear is 20/50 which if we simplify is a 2/5 ratio. If We put this in perspective 2/5 is rare and is unlikley to even.

B. We know a striped marble is 18/50 or 1.8/5 ratio which is mainly unlikely

C. We have 23/50 marbles that are black and pink, our propability is about 2.3/5 and gives us an even chance to get one of these

D. We know we have 33/50 marbles that are pink and clear and gives us a 3.3/5 chance of getting one of these and gives us an even to likely chance of getting one of these.

E. If we have a total of 17 marbles in these 3 colors, we have a 1.7/5 chance of getting one of these and is probably impossible to unlikey.

4 0

2 years ago

Natalie has $5000 and decides to put her money in the bank in an account that has a 10% interest rate that is compounded continu

kakasveta [241]

Step-by-step explanation:

Natalie has $5000

She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.

Part a) What type of exponential model is Natalie’s situation?

Answer:

As Natalie's situation implies

continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.

So, it requires the more generalized version of the principal calculation formula such as:

$P\left(t\right)=P_0\times \left[1+\left(i\:/\:n\right)\right]^{\left(n\:\times \:\:t\right)}$

or

$P\left(t\right)=P_0\times \left[1+\left(\frac{i}{n}\:\right)\right]^{\left(n\:\times \:\:t\right)}$

Here,

$i$ = interest rate

= number of compounding periods

$t$ = time period in years

Part b) Write the model equation for Natalie’s situation?

For continuous compounding the number of compounding periods, $n$ , becomes infinitely large.

Therefore, the formula as we discussed above would become:

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

Part c) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₂ $=\:6107.02$ $

So, Natalie will have $\:6107.02$ $ after 2 years.

Part d) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₁₀ $=13.597.50$ $

So, Natalie will have $13.597.50$ $ after 10 years.

Keywords: word problem, interest

Learn more about compound interest from brainly.com/question/6869962

#learnwithBrainly

5 0

3 years ago

I need help i don’t understand this

lys-0071 [83]

Answer:
Angle BAC: 56
ANGLE BCA: 42

Why? First find angle BCA because that angle is on a straight line with another angle on the other side you can do
180-138=42 which is the measurement of angle BCA.

For angle BAC you have to know that the sun of all triangles interior angles is 180 so you do
180-82-42=56
So angle BAC is 56

Hope this helps :D

6 0

3 years ago

Read 2 more answers