Evan is going to invest in an account paying an interest rate of 6.1% compounded
continuously. How much would Evan need to invest, to the nearest ten dollars, for
the value of the account to reach $7,800 in 14 years?

Answer:

2 pounds

Step-by-step explanation:

1 pound=16 ounces

Answer:

he should study

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The intercepts can be found by setting one variable to zero and solving for the other.

y-intercept: 30·0 +15y = 90  ⇒  y = 90/15 = 6, point (0, 6)

x-intercept: 30x +15·0 = 90  ⇒  x = 90/30 = 3, point (3, 0)

The graph is easily made by plotting the intercepts and drawing a line through them.

__

I like to let a graphing calculator do the graphing.

Step-by-step explanation:

This numerical sequence corresponds to a geometric progression, which occurs when there is a multiplication of the sequence numbers for a common reason whose result will always be the successor number of the numerical sequence.

Like for example:

The common reason for the geometric progression is the number 2, so the first term of the sequence multiplied by 2 will be equal to the second term of the sequence and so on:

3x2 = 6

6x2 = 12

12x2 = 24

24x2 = 48

It is necessary to emphasize that the ratio of a geometric progression will always be constant and will always be a number other than zero.

Answer:

G) 16.6

Step-by-step explanation:

We can use the pythagoriam theroem to solve the problem

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

[tex]a^{2} + 7^{2} = 18^{2}[/tex]

[tex]a^{2}[/tex] + 49 = 324

[tex]a^{2}[/tex] = 275

a = 16.6

Answer:

-2

Step-by-step explanation:

-9=4n-1

4n=-9+1

4n=-8

n=-8/4

n=-2

Answer:

x= -2

Step-by-step explanation:

you add 1 to both sides

-9+1=4n-1+1

which gives you

-8=4n

and then divide both sides by 4

-2=n

Answer:

V ≈ 471.2 in³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius of the base and h is the height )

Here diameter = 10, so r = 10 ÷ 2 = 5 and h = 6, then

V = π × 5² × 6 = π × 25 × 6 = 150π in³ ← exact value

V ≈ 471.2 in³ ( to 1 dec. place )

Answer: There are 180 grape juice in the store

Step-by-step explanation:

The ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juice which can be expressed as 5:4

Total number of containers = 405

total ratio = 4+5 =9

The number of containers that are orange juice  = 5/9 x 405

=5 x 45=225

The number of containers that are grape juice will now be = 4/9 x 405

=4 x 45= 180.

41 1/4 by 25 ft

Hope it helped!!!

Answer:

using the formula ...........duh

Answer:

Lateral Surface Area of a Triangular Prism Formula

Finds the total area contained by the three rectangular sides of the prism. You can think of the lateral surface area as the total surface area of the prism minus the two triangular areas at the top and bottom of the prism.

Answer:

y = - 2x + 1

Step-by-step explanation:

Substitute an x value from the table into the equation

x = 1 : y = - 2(1) = - 2 ← require to add 1 to obtain y = - 1

x = 4 : y = - 2(4) = - 8 ← require to add 1 yo obtain y = - 7

Then equation describing the relationship is

y = - 2x + 1

Answer:

x=-2. y=3

Step-by-step explanation:

So, it tells us that x=2y-8.

Now substitute x into the equation.

-3(2y-8)+2y=12

- 6y+24+2y=12

-4y+24=12

-4y=-12

y=-12/-4

y=3

Now that we know that y=3 substitute y into the second equation equation.

x=2(3)-8

x=6-8

x=-2

So in the end x=-2 and y=3

Hope this helps

Answer:

y=3, and x= -2

Step-by-step explanation:

-3x= -2y+12

x=2y-8

3x=2y-12

3x=6y-24

2y-12=6y-24

-4y=-12

y=3

x= -2

Step-by-step explanation:

if the 2 shorter sides add up to less than the larger side, then it's not a triangle.

Answer:

3 times as many pounds

Step-by-step explanation:

7.2 / 2.4 = 3 times as many pounds

Hope that helps!

Answer:

19 units

Step-by-step explanation:

Perimeter of the rectangle = 124 units

width = x units

length = 5 + 2x units

The perimeter of a rectangle is given by;

P = 2(l + b)

Substituting values;

124 = 2[(5 + 2x) + x]

124 = 2[5 + 3x]

124 = 10 + 6x

124 - 10 = 6x

114 =6x

x= 114/6

x = 19

width = 19 units

Answer:

631 and 51/1000

Step-by-step explanation:

The sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440

[tex]area = \pi {r}^{2} [/tex]

[tex]area = (3.14) {(6)}^{2} [/tex]

[tex]area = (3.14)(36)[/tex]

[tex]area = 113.04 \: yd[/tex]

Answer: Your answer would be A :)

Step-by-step explanation:

Answer:A

Step-by-step explanation:

I took the quiz apeex

Answer:

2 dimes and 9 nickles.

Step-by-step explanation:

2 dimes = 20cents

9 nickles = 45cents

20+45=65cents

2+9=11coins

Answer: 19 gallons

Step-by-step explanation:

Conversion factor is 1 gallon is to 128 fluid ounces.

If 2,432 fluid ounces leaked out, to find out the amount of gallons this was, you need to divide the fluid ounces by the number of fluid ounces in a gallon. This is what is done when moving from a smaller unit to a larger one.

= 2,432 / 128

= 19 gallons

Answer:

36x - 7

Step-by-step explanation:

Answer: it would be 2/3

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

trust i did it already

Answer:

the answer is B

Step-by-step explanation:

I just had that question

Answer:

[tex] \frac{1}{4} \tan {}^{4}(x) + c[/tex]

Answer:

Step-by-step explanation:

What Is a Principal Amount?

Principal amount on a loan is the amount borrowed. To better understand, let's look at the story of John. When John bought his first car he didn't have enough money to pay for it in cash, so he had to take out a loan. He borrowed $7,500. According to the terms of the loan, John had to pay it off in five years with an interest rate of 10%. The initial amount that he borrowed, or the $7,500, is called the principal amount of the loan. Keep in mind that the principal amount applies to more than just loans. It can also apply to money that is invested or deposited into an account. For example, if you open a savings account with a $700 deposit, the principal amount is $700.

What About Interest?

Principal amount does not include interest, or a rate paid as a fee for borrowing money. To figure out the amount of interest John paid during the five years, you can use the simple interest formula, which is a formula to calculate interest paid only on the principal amount. This formula is:

or interest equals principal amount times interest rate times amount of time. Using this formula, you will find that the amount of interest on John's $7,500 loan was $3,750. So, at the end of five years, he would end up paying a total of $11,250. This does not include any additional fees that may apply.

Principal Amount Formulas

For John's loan, we were given the principal amount and used it to find the amount of interest. What if we already know the interest rate, amount of interest, and amount of time, but we need to find out the principal amount? We can rearrange the interest formula, I = PRT to calculate the principal amount. The new, rearranged formula would be P = I / (RT), which is principal amount equals interest divided by interest rate times the amount of time.

Let's try this out by finding the principal amount of a loan that has a total interest amount of $18,500 and an annual interest rate of 6.5% over 12 years.

To solve, we input the values into the equation, P = I / (RT). This gives us:

P = $18,500 / (0.065 * 12) = $23,718

The principal amount of the loan is $23,718.

(hope this helps can i plz have brainlist :D hehe)

Answer:

what the FLIP

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Hope it will help :)

Answer:

r=9

Step-by-step explanation:

13r=117

r=117/13

r=9

Answer:

35cm

Step-by-step explanation:

Given data

Length= 21cm

Width= 28cm

Diagonal= ???

Applying Pythagoras theorem

D^2= L^2+W^2

D^2= 21^2+28^2

D^2= 441+784

D^2= 1225

D= √1225

D= 35cm

Hence the diagonal is 35cm