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77julia77 [94]
3 years ago
8

You invest 1,600 in an account that pays an interest rate of 6.5% compounded continuously calculate the balance after 6 years

Mathematics
1 answer:
tangare [24]3 years ago
6 0

The amount A when the principal P is compounded continuously is given by the formula :

A=P E^{rt}

Here r is rate of interest and t is time .

In the question P=1600 ,r=6.5%=0.065 ,t= 6 years

Substituting these values in the formula

A=(1600) e^{0.065 times 6}

A= 1600(1.48)

A=2363.17

Balance after 6years is $2363.17

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Convert to scientific notation ​
andreev551 [17]

Answer:

8.245*10^6

Step-by-step explanation:

scientific notation is known as c*10^n

c : any number from 1-10

n : the power of base 10

the number in our case between 1 and 10 is 8.245

but then we want to move the decimal 6 spaces to the right, so we multiply that by 10^6

8 0
3 years ago
R = 850 cm, s = 250 cm and t=940 cm. Find the measure of ZS tothe nearest 10th of a degree
faust18 [17]

To find the measure of the s angle que are going use the cosine law because we know all the sides of the triangule:

s² = r² + t² - 2*r*t * cos(S)

Then solve the equation

s² -r² - t² = -2*r*t * cos(S)

arccos ((s² -r² - t² /-2*r*t)) = S

arccos (((250)² -(850 cm)²-(940 cm)² /(-2* 850 cm*940 cm) = S

14.9 = S

round to the nearest 10th of a degree

15º = S

5 0
1 year ago
Can someone please help me? I can't find the h(x) for 0. I also need help with the last question. Please I need it very soon.
Solnce55 [7]

9514 1404 393

Answer:

  see attachments for a table and graph

Step-by-step explanation:

I find it convenient to use a graphing calculator or spreadsheet to do repetitive computations reliably.

__

Your specific question asks for h(0):

  h(0) = -|0 +2| +1 = -2 +1

  h(0) = -1

You may want to check your other table values.

8 0
2 years ago
Which of the following graphs best represents the solution to the pair of equations below? y = −x + 6 y = 2x − 3 A coordinate pl
Lera25 [3.4K]
The lines are 

i)  y=-x+6
ii) y=2x-3

The solution of the system of equations is found by equalizing the 2 equations:

-x+6=2x-3

-2x-x=-6-3

-3x=-9

x=-9/(-3)=3

substitute x=3 in either i) or ii):

i)  y=-3+6=3
ii) y=2(3)-3=6-3=3

(the result is the same, so checking one is enough)

This means that the point (3, 3) is a point which is in both lines, so a solution to the system.

In graphs, this means that the lines intersect at (3, 3) ONLY


Answer: The graph where the lines intersect at (3, 3)
3 0
3 years ago
3(y−1.5)=9.9–4.2y Please help. Solve for y
AVprozaik [17]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
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