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Firlakuza [10]
2 years ago
15

Suppose that $2000 is loaned at a rate of 12%, compounded semiannually. Assuming that no payments are made, find the amount owed

after 3 years
Do not round any intermediate computations, and round your answer to the nearest cent.
Mathematics
1 answer:
Pie2 years ago
3 0

The total amount owed after three years is $2,837.04.

The formula that can be used to determine the total amount owed after 3 years is:

FV = A(1 + r/m)^nm

  • FV = Future value of debt
  • A = amount borrowed  
  • R = interest rate = 12/2 = 6%
  • m = number of compounding = 2  
  • N = number of years = 3

$2000 x (1.06)^6 = $2,837.04

To learn more about future value, please check: brainly.com/question/18760477

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Name 8 Polygons And list the number Of sides
nadezda [96]
Rectangle= 4 sides 
Trapezoid= 4 sides
Triangle= 3 sides 
hexagon= 6 sides
octagon= 8 sides
polyhedron-=10 sides i believe 


8 0
3 years ago
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Consider the equation a(3 - x) = - 2x + b. What values of a and b make the solution of the equation x =-2? Write a number from t
-Dominant- [34]

Answer:

a=1, b=1

Step-by-step explanation:

Given the equation: a(3 - x) = - 2x + b

If the solution of the equation x=-2

Then to find the values of a  and b, we substitute x=-2 into the equation.

a(3 - x) = - 2x + b\\a(3 - (-2)) = - 2(-2) + b\\a(3+2)=4+b\\5a=4+b\\5a-b=4\\$If we make the substitution a=1, b=1 into the above equation\\5(1)-1=4 is true.\\Therefore: a=1, b=1

6 0
3 years ago
You want to buy a new sports car from roy's cars for $51,800. the contract is in the form of a 48-month annuity due at an apr of
qwelly [4]
The present value of an annuity is given by

PV= P\left(\frac{1-\left(1+ \frac{r}{t}\right)^{-nt} }{ \frac{r}{t} } \right)

where: PV is the current value of the annuity, P is the periodic payment, r is the apr, t is the number of compounding in one year and n is the number of years.

Thus, given that PV = $51,800; r = 7.8% = 0.078; t = 12; n = 4.

51,800= P\left(\frac{1-\left(1+ \frac{0.078}{12}\right)^{-4\times12} }{ \frac{0.078}{12} } \right) \\  \\ =P\left(\frac{1-(1+ 0.0065)^{-48} }{ 0.0065 } \right)=P\left(\frac{1-(1.0065)^{-48} }{ 0.0065 } \right) \\  \\ =P\left(\frac{1-0.7327}{ 0.0065 } \right)=P\left(\frac{0.2673}{ 0.0065 } \right)=41.12P \\  \\ \Rightarrow P= \frac{51,800}{41.12} =\$1,259.73

Therefore, the <span>monthly payment is $1,259.73</span>
6 0
4 years ago
Read 2 more answers
The ticket office at orchestra center estimates
dalvyx [7]

Answer:

it does... maybe?

8 0
3 years ago
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The factor tree for 3,025 is shown. A factor tree starts with 3,025 at the top. 3,025 branches down to 5 on the left and 605 to
krek1111 [17]

Answer:

(5^2)(11^2)

Step-by-step explanation:

Taking all the factors in the left hand side of the factor tree, we have

5,5,11,11

5 twice

5^2=25

11 twice

11^2=121

The factor of 3,025=(5^2)(11^2)

Alternatively

3025÷5=605

605÷5=121

121÷11=11

11÷11=1

We have prime number 5 as divider twice and prime number 11 as a divider twice

Therefore,

5^2*11^2=3,025

Check

(5^2)(11^2)

=(25)(121)

=3,025

3 0
3 years ago
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