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rodikova [14]
3 years ago
5

Julia and Rodney decided to invest 15% of their salaries.The table shows their principal balance,interest rate,and type of inter

est.Based on the table,what is the sum of the interest they earned after 3 years?
*Imagine the table like this*
They both have $4500 as their principal balance.One of them has their interest type as compounded annually and the other is simple interest.The interest rate for both is 6%.

A- $1669.57
B- $4050
C- $1620
D- $4368.94
Mathematics
1 answer:
Masja [62]3 years ago
6 0
On the account with interest compounded annually, the account balance will be
  P*(1 +r)^t
  4500*1.06³ = 5358.57
so the interest earned will be
  5358.57 -4500 = 859.57

On the account with simple interest, the interest earned will be
  I = Prt
  I = 4500*.06*3
  I = 810.00

The total interest earned on the two accounts will be
  $859.57 +810.00 = $1669.57 . . . . . . . . selection A
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If (-3) exponent -5 = 1/x, what is the value of x? <br> -243<br> - 1/243<br> 1/243<br> 243
trapecia [35]

Answer:

\boxed {-243}\\

Step-by-step explanation:

\begin{array}{rclr}(-3)^{-5} & = & \dfrac{1}{x}& &\\(-3)^{5} & = & x &\text{Inverted each side of the equation}\\x & = & \boxed {\textbf{{-243}}}\\\end{array}

6 0
3 years ago
The fuel cost per hour for running a ship is approximately one half the cube of the speed (measured in knots) plus additional fi
andrezito [222]

Answer:

6 knots

Step-by-step explanation:

Let the speed be v knots

then time taken to cover 500 M = 500 / v hrs

fuel consumption /hr = 216 + 0.5v^3

let F be the fuel consumption for trip

= [500/v][216 + 0.5v^3]

= 500[216/v + 0.5v^2]

dF/dv = 500[ - 216/v^2 + v]

d^2F/d^2v = 500[432/v^3 + 1] , i.e. +ve

so setting dF/dv will give a minima

500[ -216/v^2 + v] = 0

or v = 216/v^2

or v^3 = 216

solving, we get v = [216]^(1/3) = 6 knots

7 0
4 years ago
City planners anticipate an 8.2% population growth per year, including new residents and births. The population, in millions of
NNADVOKAT [17]
<h2>Hello!</h2>

The answer is:

The correct option is the third option,

L(p(x))=2.425(1.082)^{x}

<h2>Why?</h2>

From the statement we know the function that models the population growth over the years (p(x)) but we have been told that there is an estimated loss that can be modeled by the function L(p), so in order to find which function represents the final function, we need to composite the function, which is the same that evaluate p(x) into the function L(p).

We are given:

p(x)=2.5(1.082)^{x}

and

L(p(x))=p(0.97)

So, the evaluationg p(x) into L(p), we have:

L(p(x))=p(0.97)\\\\L(p(x))=2.5(1.082)^{x}*(0.97)=0.97*2.5(1.082)^{x} \\\\L(p(x))=0.97*2.5(1.082)^{x}=2.425(1.082)^{x}\\\\L(p(x))=2.425(1.082)^{x}

Hence, the correct option is:

The third option,  

L(p(x))=2.425(1.082)^{x}

Have a nice day!

6 0
3 years ago
3/4, 4/5, 7/8, 9/11, 5/6<br>can they be simplified? give your reasons below.​
Bad White [126]
They cannot be simplified
4 0
3 years ago
Read 2 more answers
What is one root of this equation?<br><br> 2x^-4x+9=0
Nutka1998 [239]

9514 1404 393

Answer:

  1 +i√3.5

Step-by-step explanation:

In vertex form, the equation is ...

  2(x² -2x +1) +7 = 0

  2(x -1)² +7 = 0

Then the solutions are ...

  (x -1)² = -7/2

  x = 1 ±i√3.5

One solution is 1+i√3.5.

3 0
3 years ago
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