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Leya [2.2K]
2 years ago
13

3400 dollars is placed in an account with an annual interest rate of 8.25%. How much will be in the account after 25 years, to t

he nearest cent?
Mathematics
1 answer:
avanturin [10]2 years ago
6 0
=3400(1+0.0825/1)^1*25
=3400(1.0825)^25
=3400(7.2560058)
=24670.41

Hope this helps!!!
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The population of a small town is decreasing exponentially at a rate of 14.3% each year. The current population is 9,400 people.
levacccp [35]

Answer:

After 2.9 years the town's tax status will change

The towns tax status change within the next 3 years

Step-by-step explanation:

The question below is

Will the towns tax status change within the next 3 years ?

Let

y -----> the population of a small town

t ----> the number of years

we have a exponential function of the form

y=a(b)^{t}

where

a is the initial value

b is the base

In this problem

a=9,400\ people

b=100\%-14.3\%=85.7\%=85.7/100=0.857

substitute

y=9,400(0.857)^{t}

Remember that

The town's tax status will change once the population is below 6,000 people

so

The inequality that represent this situation is

9,400(0.857)^{t}< 6,000    

Solve for t

(0.857)^{t}< 6,000/9,400

Apply log both sides

(t)log(0.857)< log(6,000/9,400)

-0.067t< -0.1950

Multiply by -1 both sides

0.067t > 0.1950

t > 2.9\ years

so

After 2.9 years the town's tax status will change

therefore

The answer is

Yes, the towns tax status change within the next 3 years

6 0
2 years ago
1. Write 3,876,943,000 using scientific notation.
Sunny_sXe [5.5K]

Answer:

3.876943x10^9

7.317x10^-4

Step-by-step explanation:

3,876,943,000

Put the decimal at the end

3,876,943,000.

Move it so only 1 number is before the decimal

3.876943000

We moved it 9 places, so that is the exponent

We moved it to the left, so the exponent is positive

The three zeros at the end can be dropped because they are the last numbers to the right of the decimal

3.876943x10^9

0.0007317

Move it so only 1 number is before the decimal

00007.317

We moved it 4 places, so that is the exponent

We moved it to the right, so the exponent is negative

The four zeros at the left can be dropped because they are the last numbers to the left of the whole number

7.317x10^-4

8 0
2 years ago
Solve the equation -10 (g - 6) = -65
Elanso [62]

Step-by-step explanation:

- 10(g - 6) =  - 65 \\  - 10g + 60  =  - 65 \\  - 10g =  - 125 \\   10g = 125 \\ g =  \frac{25}{2}

5 0
2 years ago
What type of triangle has side lengths 12, 13, and 2√3?
Travka [436]

Answer:

The triangle is an obtuse scalene triangle

Step-by-step explanation:

we know that

if c^{2}=a^{2}+b^{2} --------> is a right triangle

if c^{2}>a^{2}+b^{2} --------> is an obtuse triangle

if c^{2} --------> is an acute triangle

where

c is the greater side

we have

c=13\ units

a=12\ units

b=2\sqrt{3}\ units

so

c^{2}=13^{2}=169

a^{2}+b^{2}=12^{2}+(2\sqrt{3})^{2}=156

so

c^{2}>a^{2}+b^{2} -------> is an obtuse triangle

Remember that

The given triangle has three different length side

so

Is a scalene triangle

therefore

The triangle is an obtuse scalene triangle

4 0
2 years ago
A yard is equal in length to three feet. The function f(x) takes a measurement in yards (as input) and returns a measurement in
Grace [21]
If it takes yards and turns it into feet then it just multiplies it by 3

so if the input is 10.5 then you just multiply it by three

31.5 feet is the imput
3 0
2 years ago
Read 2 more answers
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