Find the balance in the account. $2,500 principal earning 4%, compounded quarterly, after 4 years

Answers

Answer 1
Answer:

Answer:

$2941.45 will be the balance.

Step-by-step explanation:

Formula to find the final amount after 4 years with compound interest is

A=A_(0)[1+(r)/(n)]^(nt)=2500[1+.04/4]^(4.4)=2500(1.01)^(16)

= 2500×1.173 = $2931.45

Therefore $2931.45 is the final amount.

Answer 2
Answer: Formula:
A(t)=P(1+(r/n))^)nt)

A(4)=2500(1+(0.04/4))^(4*4)
A(4) = 2500(1.01)^16
A(4) = 2500*1.1726
A(4) = $2931.45

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Stephanie uses a ride service to get to different places in her city. If Stephanie uses Uber the service charges 1.50 per mile . If Stephanie uses lift the service charges $2.00 per mile. Let m represent the number of miles traveled. Which of the following statements are true . Select all that apply

Answers

Answer:

By a small online search, i found that the actual question seems to be:

"Stephanie uses a ride service to get to different places in her city. If Stephanie uses Uber the service charges $5.00 plus 1.50 per mile . If Stephanie uses lift the service charges $2.00 per mile. Let m represent the number of miles traveled. Which of the following statements are true . Select all that apply"

The statements are not provided, so i will answer it in a general way.

We have two different equations:

1) a fixed amount of $5.00 plus $1.50 for each mile, m.

This is a linear equation:

y1 = $1.50*m + $5.00

2) No fixed amount, only $2.00 for each mile, m.

y2 = $2.00*m

Now, the things we can see are which service will be cheaper as a function of m.

To see this, we can see the difference between y1 and y2.

When the difference is negative, this means that y1 is cheaper.

When the difference is positive this means that y2 is cheaper.

When the difference is zero, both services charge the same.

D = y1 - y2 = $1.50*m + $5.00 - $2.00*m

                 = (-$0.50)*m + $5.00

First let's find when it is zero.

              0 =  (-$0.50)*m + $5.00

            5.00/0.5 = m = 10

So for 10 miles, both services charge the same.

As the coefficient that multipies m is negative, if we have m > 10, then the difference will be negative.

This means that for m > 10, y1 is cheaper.

Then for m < 10, y2 is cheaper.

Jeremy drove from Portland to Miami. He determines that the expression 450x + 150 represents the distance in miles he traveled, where x is the number of days after the first day. Which statement describes correctly what the coefficient of x represents?

Answers

Answer:

The coefficient of x represents the number of miles driven each day.

Step-by-step explanation:

The coefficient of x is being multiplied by x, or the number of days. If the expression models the total distance travelled, then Jeremy drove 450 miles each day.

3 times the measure of an angle is 14 less than the measure of its complement. What is the measure of the angle? A.19° B. 57° C.71° D.76°

Answers

A. is the answer. I just took the test

Find an equation for the line that passes through (-4, 8) and (3, -7). What is the slope? Where does the line intersect the x-axis and the y-axis?

Answers

the equation of the line is : 7y +15x = -4
the slope is m= -15/7
intersect with x at (-4/15 ,0)
intersect with y at (0, -4/7)

Given the trinomial, what is the value of the coefficient 'B' in the factored form?2x2 + 14xy − 36y2 = 2(x + By)(x − 2y)

B= ____________

Answers

2x2 + 14xy -36y2 = (2x+2By)(x - 2y) 
2x2 + 14xy -36y2  = 2x2 -4xy +2Bxy -4By2 
2x2 + 14xy -36y2  = 2x2 + (2B-4)xy -4By2 
since the coefficient of y2 is equal so 
-4B = -36 
B = 9 
if you want to make sure subs in coeeficient of xy by B=9 
and you'll get 14 so the answer is right 
B=9 

Answer:

the answer is B=9 i think

Step-by-step explanation:

If the function G(x) = (x - 8)2 + 6 has the same shape as F(x) = x2 + 6, how far to the right of F(x) is G(x) shifted?

Answers

G(x) = (x - 8)^2 + 6\ \ \ and\ \ \ F(x) = x^2 + 6\n\nAns.\ G(x)\ is\ shifted\ 8\ units\ right\ to\ the\ F(x)