1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nina [5.8K]
3 years ago
8

Samuel currently has an account balance of $3439.96. He open the account five years ago with the deposit of $3104.31. If the int

erest compounded quarterly what is the interest rate on the account?
Mathematics
2 answers:
Elza [17]3 years ago
8 0

Answer:

Step-by-step explanation:

You did leave out a 4 under the r: 1.1063 = (1+r/4)^20

So you'd do both sides to the 1/20 power since 20 • 1/20 = 1

(1.1063) ^ (1/20) = 1 + r/4

Then subtract 1, and multiply by 4

4•[1.1063 ^ (1/20) - 1) = r

svet-max [94.6K]3 years ago
4 0

Answer:

Step-by-step explanation:

$54.67

You might be interested in
Suppose the system of linear equations has no solution. Which is NOT a possible value of the constant for the second equation?
Tom [10]

Answer:

  A)  5

Step-by-step explanation:

The coefficients of the second equation are 1/3 of those of the first equation. If the constant of the second equation is also 1/3 of the constant of the first equation, then the equations are <em>dependent</em>, and will have an infinite number of solutions.

The constant must be something other than 1/3·15 = 5 to make the equations <em>inconsistent</em>, having no solutions.

4 0
2 years ago
If s is an increasing function, and t is a decreasing function, find Cs(X),t(Y ) in terms of CX,Y .
Sedbober [7]

Answer:

C(X,Y)(a,b)=1−C(s(X),t(Y))(a,1−b).

Step-by-step explanation:

Let's introduce the cumulative distribution of (X,Y), X and Y :

F(X,Y)(x,y)=P(X≤x,Y≤y)

  • FX(x)=P(X≤x)
  • FY(y)=P(Y≤y).

Likewise for (s(X),t(Y)), s(X) and t(Y) :

F(s(X),t(Y))(u,v)=P(s(X)≤u

  • t(Y)≤v)
  • Fs(X)(u)=P(s(X)≤u)
  • Ft(Y)(v)=P(t(Y)≤v).

Now, First establish the relationship between F(X,Y) and F(s(X),t(Y)) :

F(X,Y)(x,y)=P(X≤x,Y≤y)=P(s(X)≤s(x),t(Y)≥t(y))

The last step is obtained by applying the functions s and t since s preserves order and t reverses it.

This can be further transformed into

F(X,Y)(x,y)=1−P(s(X)≤s(x),t(Y)≤t(y))=1−F(s(X),t(Y))(s(x),t(y))

Since our random variables are continuous, we assume that the difference between t(Y)≤t(y) and t(Y)<t(y)) is just a set of zero measure.

Now, to transform this into a statement about copulas, note that

C(X,Y)(a,b)=F(X,Y)(F−1X(a), F−1Y(b))

Thus, plugging x=F−1X(a) and y=F−1Y(b) into our previous formula,

we get

F(X,Y)(F−1X(a),F−1Y(b))=1−F(s(X),t(Y))(s(F−1X(a)),t(F−1Y(b)))

The left hand side is the copula C(X,Y), the right hand side still needs some work.

Note that

Fs(X)(s(F−1X(a)))=P(s(X)≤s(F−1X(a)))=P(X≤F−1X(a))=FX(F−1X(a))=a

and likewise

Ft(Y)(s(F−1Y(b)))=P(t(Y)≤t(F−1Y(b)))=P(Y≥F−1Y(b))=1−FY(F−1Y(b))=1−b

Combining all results we obtain for the relationship between the copulas

C(X,Y)(a,b)=1−C(s(X),t(Y))(a,1−b).

7 0
3 years ago
Ms. Hagan invested twice as much money in an account that pays 7% interest as she did in an account that pays 6% in interest. He
Karo-lina-s [1.5K]

Answer: She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.

Step-by-step explanation:

Let P be the initial amount she invested in an account that pays 6% interest.

Then, amount invested in other account = 2P

Simple interest = Principal x rate x time

After one year, for the first account,

Interest = P(0.06)(1)  = 0.06P

For second account,

Interest = (2P)(0.07)(1)=0.14P

Total interest = 0.06P+0.14P=1000

\Rightarrow\ 0.20P=1000\\\\\Rightarrow\ P=\dfrac{1000}{0.20}\\\\\Rightarrow\ P=5000

2P = 2(5000)=10000

Hence, She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.

7 0
2 years ago
The length of an equilateral triangle is increased by 5 cm. The perimeter of the new triangle is 72 cm. What is the side length
Igoryamba

Answer:

19cm

Step-by-step explanation:

An equilateral triangle is a triangle where the length of the 3 sides are the same.

the perimeter is the sum of the 3 sides

for example, if the length of the side of the an equilateral triangle is 5, the perimeter is 5 x 3 = 15

let x = unknown length of side

length after increase = x + 5

(x + 5) x 3 = 72

divide both sides of the equation by 3

x + 5 = 24

subtract 5 from both sides of the equation

x = 24 - 5 = 19cm

6 0
3 years ago
(9b+7)+(4x-3)+(8n+5)=? ​(Simplify your​ answer.)
uysha [10]

Answer:

9b+8n+4x+9

Hope that helps!

8 0
2 years ago
Read 2 more answers
Other questions:
  • Find the lateral area of the regular prism with height h, if the base of the prism is: Equilateral triangle with the side 4 cm a
    13·2 answers
  • Mr. Flores charges $ 530 for car repairs to his credit card, which charges no interest if
    13·1 answer
  • the fair committe hopes to raise $10,000 for charity a book of 15 ride tickets costs$12.How many books does the committee need t
    5·1 answer
  • Solve the system of equations using the addition method.
    10·2 answers
  • The 5th power of what number is equal to 3^15?
    15·2 answers
  • HALP PLEASE DO 6 AND 7 PLEASEEE
    7·1 answer
  • Plug in the value of x
    11·2 answers
  • Write the prime factorization of 11. Order the factors from least to greatest (for example, 2 x 2 x 3 x 5).​
    15·2 answers
  • Helppppppppppppppppp
    8·1 answer
  • Write a polynomial that has a GCF of 7m and another with a GCF of 2ab squared.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!