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andre [41]
3 years ago
11

Gregory may choose between two accounts in which to invest $5000. Account A offers 2.3% annual interest compounded monthly. Acco

unt B offers continuous compound interest. Greg plans to leave his investment untouched (no further deposits and no withdrawals) for 10 years.
need help calculating account b's balance

Mathematics
1 answer:
evablogger [386]3 years ago
3 0

Answer:

<h2>Gregory should take the continuos compound interest.</h2>

Step-by-step explanation:

If we calculate the Amount with both type of interest, we have:

Annual interest compounded monthly:

A=P(1+\frac{r}{n} )^{nt} \\A=5000(1+\frac{0.023}{12} )^{12(10)} \\A=6291.61

This means that with this interest, after 10 years he will get $6,291.61.

Continuous compound interest:

A=Pe^{rt} \\A=5000e^{0.023(10)} \\A=6293

Meaning that Gregory will get 6,293.

As you can see, it's not a big difference, only $2 more, but it's still better.

<em>(Image attached are formulas with the variables meanings)</em>

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Y= -2x,1 - 7<br> y=x^2+ 4x- 2
m_a_m_a [10]

Answer:

if you need to find solutions ghraficaly

Step-by-step explanation:

y=y

-2x,1-7=x^2+4x-2

7 0
2 years ago
can anyone help?????? Can y’all write it detailed or like step by step explaining cause i have to write it down ..
inysia [295]

Answer:

x = 5

Step-by-step explanation:

Step 1: Distributive property

Using this property means when you have something like the equation on the right side ( 4 ( x + 3 ) ) you multiply both the values in the parentheses by the number outside:

4 ( x + 3 )

( 4 x X ) + ( 4 x 3 )

4x + 12

8x + 2 = 2x + 4x + 12

Step 2: combine like terms

Combining like terms is when you find like terms with the same variables and such and add them together:

8x + 2 = 12 + ( 2x + 4x )

8x + 2 = 12 + 6x

Step 3:Using inverse operations

This means that you need to get a variable one one side and a constant on the other:

8x + 2 ( -2 ) = 12 ( -2 ) + 6x

8x = 10 + 6x

8x ( -6x ) = 10 + 6x ( -6x )

2x = 10

Step 4: solve for the variable

The last thing you need to do is divide both sides by the constant with the variable ( 2x ) to get x by itself:

2x ( /2 ) = 10 ( /2 )

x = 5

7 0
2 years ago
Read 2 more answers
Which functions have an axis of symmetry of x = -2? Check all that apply. A. f(x) = x^2 + 4x + 3 B. f(x) = x^2 - 4x - 5 C. f(x)
Snowcat [4.5K]

Answer:

A. f(x) = x^2 + 4x + 3

D. f(x) = -2x^2 - 8x + 1

Step-by-step explanation:

The axis of symmetry is found by h = -b/2a  where ax^2 +bx +c

A. f(x) = x^2 + 4x + 3

  h = -4/2*1 = -2    x=-2

B. f(x) = x^2 - 4x - 5

h = - -4/2*1 = 4/2 =2  x=2  not -2

C. f(x) = x^2 + 6x + 2

h =  -6/2*1 = -3/2 =  x=-3/2  not -2

D. f(x) = -2x^2 - 8x + 1

h = - -8/2*-2 = 8/-4 =-2  x=-2  

E. f(x) = -2x^2 + 8x - 2

h = - 8/2*-2 = -8/-4 =2  x=2  not -2

7 0
3 years ago
Classify the following triangle. Check all that apply.
diamong [38]
There’s nothing to answer or any work for people to respond
6 0
3 years ago
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A florist needs several pieces of ribbon that are 5 and 1/2 inches long if she begins with a piece of ribbon that is 264 inches
dimaraw [331]

Answer:

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Step-by-step explanation:

(264 in)/(5.5 in/piece) = (264/5.5) pieces = 48 pieces

_____

Division is the usual shortcut for repeated subtraction. You could subtract 5.5 from 264 until you get to zero. You would have to do 48 subtractions. It is easier to divide 264 by 5.5 to see how many times it goes.

8 0
3 years ago
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