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4 years ago

For the given bond, whose interest rate is provided, find the semiannual interest payment and the

Mathematics

1 answer:

Vika [28.1K]4 years ago

6 0

Answer:

The semiannual interest payment is $485.5

The total interest earned over the life of the bond is $10,681

Step-by-step explanation:

The formula of the simple interest is I = Prt, where

P is the money invested
r is the interest rate in decimal
t is the time in years

∵ The bond is $20,000

∴ P = 20,000

∵ First Income Fund 11-year bond at 4.855%

∴ t = 11

∴ r = 4.855%

- Change it to decimal by divide it by 100

∴ r = 4.855 ÷ 100 = 0.04855

∵ The semiannual interest payment = P × r × half a year

∴ The semiannual interest payment = 20,000 × 0.04855 × $\frac{1}{2}$ (1)

∴ The semiannual interest payment = 485.5

The semiannual interest payment is $485.5

∵ I = Prt

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

∴ I = 20,000(0.04855)(11)

∴ I = 10,681

The total interest earned over the life of the bond is $10,681

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The sum of complementary angles is 90 degrees.<br> a. True<br> b. False

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TRUE! because they are 90 degrees

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3 years ago

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In a large bag of marbles, 20% of them are red. A child chooses 4 marbles from this bag. If the child chooses the marbles at ran

lubasha [3.4K]

Answer:

0.0256

Step-by-step explanation:

Assuming a binomial model, with probability of success (getting a red marble) p = 0.20. The probability of obtaining 'k' successes in 'n' trials is:

$P(x=k)=\frac{n!}{(n-k)!k!}*p^k*(1-p)^{n-k}$

For k = 3 red marbles in n = 4 trials:

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3 years ago

A price increases 5% due to inflation and is then reduced 10% for a sale. Express the final price as a function of the original

kirza4 [7]

Answer:

0.945p

Step-by-step explanation:

Let the original price be p.

Increased price due to inflation = 5% of p

= 0.05 p

Price after increased 5% = p + 0.05p = 1.05p

Reduced price for a sale = 10% of (1.05p)

= 0.1 × 1.05p

= 0.105p

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6 0

3 years ago

Please helpppppp

melomori [17]

Given Information:

Years = t = 35

Semi-annual deposits = P = $2,000

Compounding semi-annually = n = 2

Interest rate = i = 6.5%

Required Information

Accumulated amount = A = ?

Answer:

Accumulated amount = $515,827

Step-by-step explanation:

The future value of amount earned over period of 35 years and interest rate 6.5% with semi-annual deposits is given by

FV = PMT * ((1 + i/n)^nt - 1)/(i/n))

Where

n = 2

i = 0.065

t = 35

FV = 2000*((1 + 0.065/2)^2*35 - 1)/(0.065/2))

FV = 2,000*(257.91)

FV ≈ $515,827

Therefore, Anthony will have an amount of $515,827 when he retires in 35 years.

6 0

3 years ago

Bro this is so simple but I don't know. At the party, jorden shared out all the loonies in his present. Altogether there was 47

katovenus [111]

Answer:

5 lollies are left over

Step-by-step explanation:

Total lollies Jordan has = 47

Number of boys at the party = 6

If the lollies are shared equally,

Number of lollies each boy gets = Total lollies ÷ number of boys

= 47 ÷ 6

= 7 lollies remainder 5

That is,

6 boys × 7 lollies each = 42 lollies

How many lollies were leftover.

Remaining lolly = Total lollies - shared lollies

= 47 - 42

= 5 lollies are left over

6 0

3 years ago