An initial amount of money is placed in an account at an interest rate of 3% per year, compounded continuously. After six years, there is $1819.77 in the account. Find the initial amount placed in the account. Round your answer to the nearest cent.

Answer:

p - 3

Step-by-step explanation:

Key expression: 3 fewer than

Fewer than = subtract from

subtract 3 from a number, p

This means that the expression would be p - 3

Because you are subtracting 3 from a number ( p )

Answer:

Sydney is 72 years old

Step-by-step explanation:

My friends name is Sydney too lol

Answer:

x = 4

Step-by-step explanation:

7.5 + 7.5 = 15

[tex]\frac{x}{8}[/tex] = [tex]\frac{7.5}{15}[/tex]

cross multiply

15x = 60

divide

x = 4

or

since the bigger one is 2x smaller

8/2 = 4

Step-by-step explanation:

let's see....

3m × 5r = 15mr

15(m × r)

15mr.

if it helps don't forget to like and mark me down

Answer:

y = 14.4x - 18.4

Step-by-step explanation:

This is the equation for the regression line, I hope this helps!

Answer:

1/20

Step-by-step explanation:

1/20 +x = ⅒

multiply through by 20

1+20x=2

1-2=-20x

-1= -20x

1/20=x

Answer:

$20,960

Step-by-step explanation:

Melissa's parent saved 8 000 dollars in the bank for her college fund account. It earns 9% annual interest. After 18 years, how much interest will it accumulate and how much is the total amount that Melissa will have fore her college fund.=> 9% = 9% / 100% = 0.09Let's find the annuak interest first => 8 000 dollars * .09 = 720 dollars The, let's find the after 18 years interest=> 720 dollars * 18 = 12 960 dollarsTotal of the amount: => 8 000 + 12 960 = 20 960 dollars

This is the same as the one above me but in simpler terms

Step-by-step explanation:

I =8000 x 9 x 18 =12,960

Total amount = 12960 +8000= $20,960

Answer:

$12960

Step-by-step explanation:

A=P(1+rt)

8000(1 + (0.09 × 18)) = 20960

A = $20,960.

I = A - P

I=20960-8000

ANS=$12960

Answer:

45 ways

Step-by-step explanation:

5*3*3 = 45

Answer:

45

Step-by-step explanation:

5*3*3

5*3=15

15*3=45

Answer: x^(2)y(5+6y^(2)-3xy)

Step-by-step explanation: Factor x^(2)y out of 5x^(2)y + 6x^(2)y^(3)- 3 x^(3)y^(2)

brainliest or a thank you please! :) <33

Answer:

60 Units

Step-by-step explanation:

The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.

The length of the side A'C' of the triangle after rotation is A'C' =AC = 60 units

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the triangle be represented as ΔABC

Now , the measures of the sides of the triangle are

The measure of side AB = 61 units

The measure of side BC = 11 units

The measure of side AC = 60 units

And , the triangle is rotated by 90° counterclockwise  about the origin

The coordinates of the triangle after rotation is A'B'C'

And ,

The measure of side A'B' = 61 units

The measure of side B'C' = 11 units

The measure of side A'C' = 60 units

The length of the sides of the triangle does not change during a transformation of rotation by any degree

Hence , the measure of side A'C' of triangle is 60 units

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Answer:

6 units^2

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]3^{2} +b^{2} =5^{2}[/tex]

[tex]9+b^{2} =25[/tex]

[tex]b^{2}=16[/tex]

[tex]b=4[/tex]

Area of the triangle = Base * Height * 1/2 = 3 * 4 * 1/2 = 6 units^2

Answer: G. (-6,4), (3,5), (2,2) and (-5,1) just look where the dot plot is and you with know the answer.

Step-by-step explanation: Hope this help :)

Answer:

80 degrees - 43 degrees = ?

Step-by-step explanation:

Answer:

10 is the answer

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

120 because 20% of the 150 balls is 30 or right so forth the football is a subtract the 150 from the 30 which gives you 120

Answer:

c

Step-by-step explanation:

im on plato just passed the test

Answer:

6.

Step-by-step explanation:

6×5 = 30 (product=multiplication)

30+12=42 (increased=addition)

So, the answer is 6.

The correct option is (b) circle .

What conic section is formed from slicing parallel to the base of the cone ?

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Answer:

The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Sample of 9000, 51% of students had at least one parent who was a college graduate.

This means that [tex]n = 9000, \pi = 0.51[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 - 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.4964[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 + 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.5236[/tex]

The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).

Answer:

C

Step-by-step explanation:

there are 4 of the exact same line going in 4 directions

Answer:

door Sai so Lally shall icb kiddo do you have any questions

Step-by-step explanation:

ok CV bjf

Answer:

The right answer is approximately 210.031 cubic inches. (Answer: E)

Step-by-step explanation:

First, we need to convert the diameter ([tex]D[/tex]), in inches, of the round balloon to an entirely decimal mode:

[tex]D = 7\,in + \frac{3}{8}\,in[/tex]

[tex]D = \frac{56 + 3}{8}\,in[/tex]

[tex]D = \frac{59}{8}\,in[/tex]

[tex]D \approx 7.375\,in[/tex]

The volume of the balloon is modelled after the volume function of a sphere ([tex]V[/tex]), in cubic inches:

[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex] (1)

If we know that [tex]D \approx 7.375\,in[/tex], then the volume of the round balloon is:

[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex]

[tex]V = \frac{\pi}{6} \cdot (7.375\,in)^{3}[/tex]

[tex]V \approx 210.031\,in^{3}[/tex]

Hence, the right answer is approximately 210.031 cubic inches.

Answer:

Also see attached

Answer:

Solution:

2 cups=16 fluid ounches

96 ounces=6pints

12 pints=24cups

4 quarts=1 gallon

The decimal 0.7 is less than 0.4.

We have to determine

decimal is less than 0.4

A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point.

We know that the decimal numbers increase in size as we move to

The right on the number line

0.4 is less than 0.7.

Let us now compare 1.57 and 1.6.

Therefore, The decimal 0.7 is less than 0.4.

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Answer:

12.

12% of 100= 12.

Answer:B

Step-by-step explanation:

Answer: D

Step-by-step explanation:

d. translation 1 unit left & 1 unit up

right on edg