answer.
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
IrinaK [193]
2 years ago
6

Two bonds are available on the market as follows: Bond 1: Face value $250, 5 years to maturity at a (simple) interest rate of 5%

. Bond 2: Face value $350, 3 years to maturity at a (simple) interest rate of r. Given that both bonds yield the same interest to maturity, calculate r.
Mathematics
1 answer:
tester [92]2 years ago
3 0

The value of r is 5.95%

Step-by-step explanation:

The formula of the simple interest is I = P r t, where

  • P is the initial amount of money
  • r is the interest rate in decimal
  • t is the time

Bond 1:

∵ The face value is $250

∴ P = 250

∵ The value is in the bond for 5 years

∴ t = 5

∵ The simple interest rate is 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ I = P r t

- Substitute the values of P, r and t in the rule

∴ I = (250)(0.05)(5) = 62.5

∴ The interest of Bond 1 is $62.5

Bond 2:

∵ The face value is $350

∴ P = 350

∵ The value is in the bond for 3 years

∴ t = 3

∵ The simple interest rate is r

∵ I = P r t

- Substitute the values of P and t in the rule

∴ I = (350)(r)(3) = 1050 r

∴ The interest of Bond 2 is 1050 r

∵ The both bonds yield the same interest to maturity

- Equate the interests of bonds 1 and 2

∵ 1050 r = 62.5

- Divide both sides by 1050

∴ r = 0.0595

- Multiply it by 100% to change it to percentage

∵ r = 0.0595 × 100% = 5.95%

∴ r = 5.95%

The value of r is 5.95%

Learn more:

You can learn more about interest in brainly.com/question/11149751

#LearnwithBrainly

You might be interested in
Jenny runs a cake making business, she receives an order of 6 carrot cakes. How much mixed spice will she need for 6 cakes. The
sp2606 [1]
I'm pretty sure the answer is 9 mix spice, hope I helped!
4 0
2 years ago
Read 2 more answers
Gavin and Jim win some money and share it in the ratio 5:2. Gavin gets £39 more than Jim. How much did they get altogether?
gregori [183]

Answer:

Altogether Gavin and Jim won £95.

Step-by-step explanation:

We are given the following in the question:

Ratio of money won by Gavin and Jim = 5:2

Gavin gets £39 more than Jim.

Let x be the amount of money Won by Jim.

Then, money won by Gavin =

=(x+39)

Thus, we can write the equation:

\dfrac{\text{Gavin}}{\text{Jim}} = \dfrac{5}{2}=\dfrac{x+39}{x}

Solving, we get,

\dfrac{5}{2}=\dfrac{x+39}{x}\\\\5x = 2x + 78\\\Rightarrow 3x = 78\\\Rightarrow x = 26\\\Rightarrow (x+39) = 65

Thus, Gavin won £65 and Jim won £26.

Money won altogether =

=65 + 26\\=95

Thus, altogether Gavin and Jim won £95.

5 0
2 years ago
In the diagram, points A, B, and C lie on a circle. Which conclusion can be correctly drawn from the fact that O is the center o
kolezko [41]

Answer:

Option D is correct

5 0
2 years ago
Identify the variation as direct, inverse, joint or combined. A = r²
myrzilka [38]

Answer : Direct Variation

Question :

Identify the variation as direct, inverse, joint or combined. A = \pi r^2

We know direct variation is y = kx

Where k is the constant of proportionality

When value of x increases then y also increases. when x value decreases then y value decreases.

The value of y depends on value of x It means y is directly proportional to x.

Hence A = \pi r^2 is a direct variation.


4 0
2 years ago
Read 2 more answers
An auto dealership sells minivans and sedans. In January, they sold 10
igor_vitrenko [27]

Answer: They are both equal

Step-by-step explanation: 10 x 14 = 20 x 7

5 0
2 years ago
Other questions:
  • Find the zeros of the function. f(x) = 3x3 - 21x2 + 36x
    8·2 answers
  • An article with a net weight of 10 lb (pounds) is packaged in a box that weighs ½ lb. If 20 of these boxed articles are put into
    6·2 answers
  • A grocer has two kinds of tea, one selling for 80 cents per pound and the other selling for 60 cents per pound. How many pounds
    5·1 answer
  • The miles-per-gallon obtained by the 1995 model q cars is normally distributed with a mean of 22 miles-per-gallon and a standard
    12·2 answers
  • The standard form of the equation that represents the number of quarters, q, and the number of dimes, d, that Austin has in his
    8·2 answers
  • Charles wants to find out if the students in foreign language classes spend more time in class speaking in English or in the for
    14·2 answers
  • The tensile strength of silicone rubber is thought to be a function of curing temperature. A study was carried out in which samp
    13·1 answer
  • Alejandro would like to start a new business. His friends have suggested he go into merchandising. But he's confused about what
    14·2 answers
  • Given 8x-3y=-21, 3x+y=-10; Prove x=-3
    12·1 answer
  • a dance club spent $922 on 40 items.The item include some hats and pairs of shoes.Each hat cost $19 and each pair of shoes cost
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!