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vovangra [49]
3 years ago
11

Ryan invests in an account that pays 1.25% compound interest annually. He uses the expression P(1+r)t to find the total value of

the account after t years. What will be the total value of the account after 3 years if he invested $7,000?
Mathematics
1 answer:
arlik [135]3 years ago
7 0

Answer:the total value of the account after 3 years is $7266

Step-by-step explanation:

Initial amount that Ryan invested into account is $500 This means that the principal is P, so

P = 7000

It was compounded annually. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 1.25%. So

r = 1.25/100 = 0.0125

It was compounded for 3 years. So

n = =3

The formula for compound interest is

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

A = total amount in the account at the end of t years. Therefore

A = 7000 (1+0.0125/1)^1×3

A = 7000(1.0125 )^3= $7266

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An online shopping club has 10,000 members when it charges $7 per month for membership. For each $1 monthly
Sonja [21]

Answer:

The function that can be used in the online shopping club about its monthly revenue is:

R = -400x^{2} +7200x+70000

Step-by-step explanation:

First, we're gonna take into account the different values we have in the exercise:

  1. 10,000 members
  2. $7 per month for membership
  3. Loses of 400 members by each $1 monthly increase

How the variable x represents the price increase, we can do the formula below:

  • (10000 - 400x) * (7+x)

In this formula, we represent in the first part that by each 1 in the variable x, the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of x. Now we must simplify this function:

  • (10000 - 400x) * (7+x)

We operate the values:

  • 70000+10000x-2800x-400x^{2}

Solve we can:

  • 70000+7200x-400x^{2}

And organize:

  • -400x^{2} +7200x+70000

At the end, how R represents the monthly revenue received by the club, we use that variable for our formula:

  • R=-400x^{2} +7200x+70000

4 0
3 years ago
Find the radius of the circle with equation x²+y²+8x+8y+28=0
galina1969 [7]
<h2>Hello!</h2>

The answer is:

Center: (-4,-4)

Radius: 2 units.

<h2>Why?</h2>

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

(x-h)^{2}+(y-k)^{2}=r^{2}

Where:

"h" and "k" are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

x^{2}+y^{2}+8x+8y+28=0

So, solving we have:

x^{2}+y^{2}+8x+8y=-28

(x^2+8x+(\frac{8}{2})^{2})+(y^2+8y+(\frac{8}{2})^{2})=-28+((\frac{8}{2})^{2})++(\frac{8}{2})^{2})\\\\(x^2+8x+16 )+(y^2+8y+16)=-28+16+16\\\\(x^2+4)+(y^2+4)=4

(x^2-(-4))+(y^2-(-4))=4

Now, we have that:

h=-4\\k=-4\\r=\sqrt{4}=2

So,

Center: (-4,-4)

Radius: 2 units.

Have a nice day!

Note: I have attached a picture for better understanding.

3 0
3 years ago
Solve the system of linear equations by substitution.
Bezzdna [24]
For this you need to solve by elmination
3 0
3 years ago
What is the diameter of 11.94 cm circumference
sweet [91]

Question

What is the diameter of 11.94 cm circumference

Answer:

Soln,

We know that  diameter = * 2 radius

radius = 11.94/2= 5.97 half of diameter and when you multiply with 2 ,Then it comes 11.94cm  

Now

Step-by-step explanation

Circumference = 2πr

11.94 = 2*22/7*r

11.94 = 6.28r

r= 11.94/6.28

therefore, r= 1.90 cm

Now

We know that  diameter = * 2 radius

diameter = 1.90*2 = 3.80 cm

answer checking,

Circumference = 2πr

c= 2*22/7*1.90

therefore c = 11.94 cm

ans proved

plz mark me brainliest and thanks

have a good day ahead ; )

5 0
3 years ago
Determine whether the fractions 3 4 and 4 5 are equivalent. Question content area bottom Part 1 Select the correct choice below
VMariaS [17]

Answer: Choice A

The fractions are not equivalent because the product of the numerator of the first fraction and the denominator of the second fraction is <u>   15   </u> ​, which is not equal to the product of the numerator of the second fraction and the denominator of the first​ fraction <u>    16    </u>

===================================================

Explanation:

We have the template \frac{P}{Q} = \frac{R}{S} which cross multiplies to PS = QR

So if \frac{3}{4} = \frac{4}{5} was true, then 3*5 = 4*4 must be true as well, and vice versa.

The left side 3*5 turns into 15, while the right hand side 4*4 becomes 16. The 15 and 16 don't match up.

In short, 3*5 = 4*4 turns into 15 = 16 which is a false statement. So the original claim that \frac{3}{4} = \frac{4}{5} is also false.

5 0
2 years ago
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