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Nikitich [7]
1 year ago
6

James purchased five bonds of face value of $1,000 that paid 5% annual interest rate. the total annual interest income of james

is _____. how do you work this problem out?
Mathematics
2 answers:
Trava [24]1 year ago
8 0
Given:
5 bonds of face value of 1,000 that paid 5% annual interest rate.

5 bonds x 1,000 = 5,000
5,000 x 5% x 1 year = 250

The total annual interest income of James is 250. Each bond earns 50 per annum.
garri49 [273]1 year ago
7 0

Answer:

The total annual interest income of James is $250.

Step-by-step explanation:

James purchased five bonds of face value of $1,000

So, total value of 5 bonds is = 5\times1000=5000 dollars

These bonds paid 5% annual interest rate.

So, interest becomes = 0.05\times5000=250 dollars

Hence, the total annual interest income of James is $250.

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A theatre has the capacity to seat people across two levels, the Circle and
andriy [413]

Answer: 76.19\%

Step-by-step explanation:

<h3> The complete exercise is: " A theatre has the capacity to seat people across two levels, the Circle, and the stalls. The ratio of the number of seats in the circle to a number of seats in the stalls is 2:5. Last Friday, the audience occupied all the 528 seats in the circle and \frac{2}{3} of the seats in the stalls. What is the percentage of occupancy of the theatre last Friday?"</h3>

Let be "s" the total number of seats in the Stalls.

The problem says that the ratio of the number of seats in the Circle to the number of seats in the Stalls is 2:5.

Since the number of seats that were occupied last Friday was 528 seats, we can set up the following proportion:

\frac{2}{5}=\frac{528}{s}

Solving for "s", we get:

s*\frac{2}{5}=528\\\\s=528*\frac{5}{2}\\\\s=1,320

So the sum of the number of seats in the Circle and the number of seats in the Stalls, is:

Total=1,320\ seats+528\ seats=1,848\ seats

 We know that \frac{2}{3} of the seats in the Stalls were occupied. Then, the number of seat in the Stalls that were occupied is:

(1,320)(\frac{2}{3})=880

Therefore, the total number of seats that were occupied las Friday is:

Total\ occupied=880\ seats+528\ seats=1,408\ seats

Knowing this, we can set up the following proportion, where "p" is the the percentage of occupancy of the theatre last Friday:

\frac{100}{1,848}=\frac{p}{1,408}

Solving for "p", we get:

(1,408)(\frac{100}{1,848})=p\\\\p=76.19\%

8 0
1 year ago
Gregory has 2/3 of an entire pizza. If he gives 1/4 of an entire pizza to his friend Marlene, what fraction of his partial pizza
Amiraneli [1.4K]

Answer: 5/12

Step-by-step explanation:

because the denominators are not the same you have to multiply to get a common base and then you can subtract from there to see how much he has left.

3 0
1 year ago
When you graph the exact same equation twice ?
Helen [10]
You will have infinite solutions
3 0
2 years ago
Samantha wants to use her savings of $1150 to buy shirts and watches for her family. The total price of the shirts she bought wa
irakobra [83]
The cost of the shirts is stable, so we can subtract $1150 - $84, which = $1066. Now we want to find how many watches we can buy with $1066, or how many times $99 fits into $1066. So divide 1066 by 99 to get 10.77. You can't buy 77ths of a watch, so round it down to 10 and you have your answer. Samantha can buy 10 watches.
8 0
2 years ago
Read 2 more answers
If x = (10 − 3i) and y = (3 − 10i), then xy = -109i and x/y =
Yuliya22 [10]
Xy = -109i
We could find the value of i by substitute the algebraic form of x and y to the equation above

xy = -109i
(10 - 3i)(3 - 10i) = -109i
(10)(3) -3i(3) + 10(-10i) - 3i(-10i) = -109i
30 - 9i - 100i -30i² = -109i

multiply both side by -1
-30 + 9i + 100i + 30i² = 109i
30i² + 9i + 100i - 109i - 30 = 0
30i² - 30 = 0
30i² = 30
i² = 1
i = -1 or i = 1

Then find the value of x and y if i = -1
If i = -1, therefore
x = 10 - 3(-1)
x = 10 + 3
x = 13

y = (3 - 10i)
y = 3 - 10(-1)
y = 3 + 10
y = 13

x/y = 13/13 = 1

Then find the value of x and y if i = 1
x = 10 - 3(1)
x = 10 - 3
x = 7

y = (3 - 10i)
y = 3 - 10(1)
y = 3 - 10
y = -7

x/y = 7/-7 = -1

The value of x/y is either 1 or -1
7 0
2 years ago
Read 2 more answers
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