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DochEvi [55]
3 years ago
10

Bethany borrows $8000 at 3% interest rate with interest compounded continuously for 6 years. What is the total interest?

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
3 0

Answer:

$1,577.74

Step-by-step explanation:

You are going to want to use the continuous compound interest formula, which is shown below.

A = Pe^{rt}

<em>A = total </em>

<em>P = principal amount </em>

<em>r = interest rate (decimal) </em>

<em>t = time (years) </em>

<em />

First change 3% to its decimal form:

3% -> \frac{3}{100} -> 0.03

Next, we can plug in the values into the equation:

A=8,000e^{0.03(6)}

A=9,577.74

The last step is to subtract 8,000 from 9,577.74:

9,577.74-8,000=1,577.74

The total interest earned is $1,577.74

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Can someone help me. All i need o know is what is the value after 10 years i done the equation part by myself
vazorg [7]

Answer:

$4811

Step-by-step explanation:

Initial price = 35,000

18% decrease anually = 18/100 = -0.18

after 10 years

substitute these values in the formula shown in below figure

A = 35000 * ( 1 + -0.18/1  ) ^10

= 35000 * 0.82^10

= 4,810.681

= $4811

7 0
2 years ago
And isosceles right triangle has two legs that are the same length and hypotenuse of 10 inches. Find the dimension of the leg.
amid [387]
Special Triangles Theorem
leg1=leg2=a
hypotenuse=a√2=10
Both Legs are 5√2 inches
6 0
3 years ago
Using significant digits calculate (3.89 + 0.046) x 7.221
enyata [817]
The full answer is 28.421856
8 0
3 years ago
Find four consecutive even integers such that the sum of the second and fourth and integer is one half times the sum of the firs
Artyom0805 [142]
Okay lets create an eqn from that information

A first int, B second int, C third int, D fourth int.

B = A + 2
C = A + 4
D = A + 6
A is the smallest integer

B + D = 0.5 (A + C) 

Now lets substitute

(A + 2) + (A + 6) = 0.5(A + (A + 4))
now lets dist

2a + 8 = 0.5(2a +4)
2a + 8 = a + 2
a + 8 = 2
a = -6

B = -6 +2
B = -4
C = -6 + 4
C = -2
D = -6 + 6
D = 0

Now using B + D = 0.5(A + C)
-4 + 0 = 0.5(-6 + (-2))
-4 = 0.5 (-8)
-4 = -4

Correct 
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8 0
3 years ago
Kara did a survey to determine to study the types of pets that students in her school had. She surveyed 300 students and found t
julsineya [31]

Answer:

(C)81

Step-by-step explanation:

Total Number of Students =300

Percentage who had cats, n(C) = 40%

Percentage who had both cats and dogs , n(C \cap D) = 12%

Percentage who had neither cats nor dogs, n(C \cup D)' =45%

Now:

Universal Set, U = n(C)+n(D)-n(C \cap D)+n(C \cup D)'

100 = 40 + n(D)-12+45\\n(D)=100-73\\$Percentage of those who own dogs =27\%

Therefore:

Number of Students who had dogs

=27% of 300

=81

3 0
3 years ago
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