Suppose that $4500 is placed in an account that pays 19% interest compounded each year.
Assume that no withdrawals are made from the account.
(a) Find the amount in the account at the end of 1 year.

(b) Find the amount in the account at the end of 2 years.

Answer:

150

Step-by-step explanation:

This is a word problem which should be tackled accordingly.

The sum of 48 and itself

= 48+48

= 96

It's half and half of its half

= 48/2 and (48/2)/2

= 24+ 24/2

= 24+12

= 36

Is added to 18

= 96+36+18

= 150

From the description above the entire sum is 150.

Answer:

directrix: x=-1

focus: (1,0)

Step-by-step explanation:

Answer:

-(-4)(-6)*3/5(10+15)

when there is a (-) in front of an expression in parentheses, change the sing of each term in the expression.

4*(-6)*3/5*(10+15)

Add the numbers (10+15)

4(-6)*3/5*25

multiplying an odd number of negative terms makes the product negative

-4*6*3/5*25

reduce the number with the greatest common factor 5

-4*6*3*5

calculate the product

solution

-360

Answer:

1.2

Step-by-step explanation:

Just divide

Answer:

1.2

Step-by-step explanation:

Divide 18 by 15 and get the answer.

1.333...percent

Hope it helps

Answer:

15/ 44

Step-by-step explanation:

just multiply across

5 x 3 = 15

11 x 4 = 44

= 15/44

Answer:

[tex]\frac{15}{44}[/tex]  

I hope this helps!

Answer:

1) 8,388,608 grains of wheat.

2) 16,777,215 grains of wheat.

3) 239,674.5 pounds.

Step-by-step explanation:

Question 1)

We know that on the first square, there is 1 grain of wheat.

On the second, 2 grains of wheat.

On the third, 4 grains of wheat.

And on the fourth, 8 grains of wheat.

Therefore, we have a geometrically increasing sequence. It looks like:

1, 2, 4, 8...

Therefore, to find the number of grains on the 24th square, we can write an explicit formula.

The standard form for the explicit formula for a geometric sequence is:

[tex]x_n=a(r)^{n-1}[/tex]

Where a is the initial amount, r is the common ratio, and n is the nth term (starting from 1).

We know that the initial term a is 1 because there’s one grain of wheat on the first square.

And the common ratio will be 2 because each square has double the amount of the previous square.

So, substitute 1 for a and 2 for r. This yields:

[tex]x_n=1(2)^{n-1}\\[/tex]

We can simplify this:

[tex]x_n=2^{n-1}[/tex]

So, to find the amount of wheat on the 24th square, we simply need to substitute 24 for n and evaluate. So:

[tex]x_{24}=2^{24-1}=2^{23}[/tex]

Evaluate. Use a calculator:

[tex]x_{24}=8,388,608[/tex]

Therefore, on the 24th square, there are 8,388,608 grains of wheat.

Question 2.1)

We want to find the total number of grains of wheat on the board at this time.

In other words, we want to find the sum of our geometric sequence when n is 24.

The formula for the sum of a geometric series is:

[tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]

Where rⁿ is the value of the number of terms n, r is the common ratio, and a is the initial term.

We want to find the sum after 24 times. So, n is 24.

So, substitute 24 for n, 2 for r, and 1 for a. This yields:

[tex]S_{24}=\frac{(1)(2^{24}-1)}{2-1}[/tex]

Evaluate. Use a calculator:

[tex]S_{24}=16, 777, 215[/tex]

Therefore, the total sum of the number of grains of wheat at the board at the 24th square is 16,777,215.

Question 2.2)

And to find the weight, we will just have to multiply our total amount by 1/7000. So:

[tex]W=16777215(\frac{1}{70})[/tex]

Use a calculator:

[tex]W=239,674.5\text{ lbs}[/tex]

So, the total weight is 239,674.5 pounds.

Answer:

-9

Step-by-step explanation:

the number is x

2x = 4x - - 18

2x = 4x + 18

-2x = 18

x = -9

Answer:

-9

Step-by-step explanation:

Let's solve your equation step-by-step.

2x=4x−(−18)

Step 1: Simplify both sides of the equation.

2x=4x+18

Step 2: Subtract 4x from both sides.

2x−4x=4x+18−4x

−2x=18

Step 3: Divide both sides by -2.

−2x/−2

= 18 /−2 x

=−9

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Principal = $20000

Interest rate = 5.5% = 0.055 compounded daily

Time = 16years =(360 * 16) = 5760

n = number of times interest is applied per period

Amount of money in account after 16 years :

A = p(1 + r/n)^nt

A = total amount

A = 20000(1 + 0.055/360)^(360*16)

A = 20000(1 + 0.0001527)^5760

A = 20000(1.0001527)^5760

A = 48193.1611

Interest on principal :

$48193.1611 - $20000

= $28193.1611

Answer: B

Step-by-step explanation: It is greater or equal to -6 and less than or equal to 5.

Answer:

When V is composed with r, the composite function is [tex]\frac{1}{48} \pi t^{6}[/tex]

When Vr6 shows that the volume is 9724. When the radius is increased to 6 inches.

Step-by-step explanation:

Volume is determined by [tex]cm^{3}[/tex] if the balloon is filled with air its volume will be increased and the composite function will represent the volume of the balloon. The radius of the balloon will rise in seconds. If t seconds are consumed to reach to a radius of 6 inches then the pie function is used to determine the volume.

Answer:

A) True

Step-by-step explanation:

[tex]-4,-1[/tex]

If we subtract the two numbers we get

[tex]-4-(-1)=-4+1=-3[/tex]

It can be seen that subtracting the two numbers changes the sign of one number by which we can algebraically subtract the numbers. Since, the addition of 1 shifts the number towards zero in the number line, the minus sign still remains.

So A)-4 -1 is true.

Answer:

A.) parallel

Step-by-step explanation:

they are on opposite sides, and will never touch.

Hope I helped!! :)

Answer: A. 7/21 = 1/x

Step-by-step explanation: 7/21 = 1/3 so x would be 3.

Answer:Step-by-step explanation:

a. Let x = number of months

Amount charged by Francis Lewis Gym = 150 + 10x

Amount charged by Clintonville Gym = 50 + 35x

Set each expression equal to the other to generate an equation to use in finding the number of months for which the cost of membership will be the same at both months

150 + 10x = 50 + 35x

Collect like terms

150 - 50 = -10x + 35x

100 = 25x

Divide both sides by 25

100/25 = x

4 = x

Answer: 4 months

b. Substitute x = 2 into each if the expression of the amount charged by each gym. The one that gives the lowest amount should be the one Mrs. Open should should join.

Amount charged by Francis Lewis Gym = 150 + 10x

= 150 + 10(2)

= 150 + 20

= $170

Amount charged by Clintonville Gym = 50 + 35x

= 50 + 35(2)

= 50 + 70

= $120

She should join the Clintonville Gym if she plans to join a gym for 2 months.

Answer: Clintonville Gym

Answer:

138 I think

Step-by-step explanation:

math go brrr

Answer:

2 1/4

Step-by-step explanation:

3/4 ÷ 1/3 = ?

(to divide fractions faster you flip the second fraction so:)

3/4 x 3/1 = 2 1/4

Answer:

a. s = [tex]\frac{d}{t}[/tex]

b. 9600 ft

Step-by-step explanation:

In the given question, the motion of the bee involves speed (s), distance (d) and its time of flight (t).

a. The equation required to determine the distance of the flowerbed from the hive/ hive to flowerbed is;

speed = [tex]\frac{distance}{time}[/tex]

i.e s = [tex]\frac{d}{t}[/tex]

b. Given that: the bee flies back at 8 feet per second, and in 20 minutes (1200 seconds);

s = [tex]\frac{d}{t}[/tex]

⇒ d = s x t

       = 8 ft/s x 1200 s

       = 9600 ft

The flowerbed is 9600 feet from the hive.

Answer:

-9xy² - 6x²y + 5x

Step-by-step explanation:

The additive inverse of a polynomial is simply defined as the same polynomial but the difference is that the signs attached to each of the terms will change. This means that positive sign will change to negative while negative sign will change to positive.

Now, we are given the polynomial;

9xy² + 6x²y - 5x

Thus, from earlier description, additive inverse of this polynomial is;

-9xy² - 6x²y + 5x

It could be either.

1 + 1 + 1 = 3, which is prime

2 + 2 + 2 = 6, which is composite

Step-by-step explanation:

Let the initial population of a community be P0 and the population after time t is P(t).

If the population of a community is known to increase at a rate proportional to the number of people present at time t, this is expressed as:

[tex]P(t) = P_0e^{kt}[/tex]

at t = 5 years, P(t) = 2P0

substitute:

[tex]2P_0 = P_0e^{5k}\\2 = e^{5k}\\ln2 = lne^{5k}\\ln2 = 5k\\k = \frac{ln2}{5}\\k = 0.1386[/tex]

If the population is 9,000 after 3 years

at t = 3, P(t) = 9000

a) Substitute into the formula to get P0

[tex]9000 = P_0e^{0.1386\times 3}\\9000 = P_0e^{0.4158}\\9000 = 1.5156P_0\\P_0 = \frac{9000}{1.5156}\\ P_0 = 5938.24[/tex]

Hence the initial population is approximately 5938.

b) In order to know how fast the population growing at t = 10, we will substitute t = 10 into the formula as shown:

[tex]P(10) = 5938.24e^{0.1386(10)}\\P(10) = 5938.24e^{1.386}\\P(10) = 5938.24(3.9988)\\P(10) = 23,745.97[/tex]

Hence the population of the community after 10 years is approximately 23,746

Answer:

its b are c i think

Step-by-step explanation:

Answer:

-2.63 is bigger

Step-by-step explanation:

-2 5/7 is the same as -2.71428571428...

and when you compare a negative the smaller number is always greater than the bigger number because it is negative.

Answer:a=bc

Step-by-step explanation:

over evaluate  function

Answer:

C. hope it helps :)

Step-by-step explanation:

Answer:

18 at most.

Step-by-step explanation:

Answer:

50 mins

hope this helped :)

Answer:

12 ounces for $1.47.

Step-by-step explanation:

:) ello

Answer:

a , b , d , e

Step-by-step explanation: