Answer:
The boy: 8 years old
The sister: 11 years old
Explanation:
We assume that the age at present of the boy is x (years old).
As he is younger than his sister 3 years, so that his sister's present age is great than x 3 years
=> Her present age is: x + 3 (years old)
Two years ago, the boy is younger than present two years
=> The boy's age two years ago is: x - 2 (years old)
Similarly, the sister's age two years ago is: (x+3)-2 = x + 1 (years old)
As given, two years ago he was two-thirds of his sister's age, so that we have:
<em>The boy's age two years ago = </em>
<em> × the sister's age two years ago</em>
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
=> x + 3 = 8 + 3 = 11
So the present age of the boy is 8 years old, of the sister is 11 years old
The terms of an invoice are 3/10, n/25 this means that a <u>discount of 3% is allowed if the invoice is paid within 10 days</u> of the invoice date.
3/10, n/25 this means that a 10% cash discount is available if the invoice is paid within 10 days, pay the net price if covered within 25 days of the invoice date. Discounts are reductions of the normal fee of a product or service with the purpose to obtain or growing income.
Trade discount refers to the deduction given by using the supplier to the purchaser within the catalog price of the goods. Cash discount implies the allowance granted to the clients by means of the supplier on the billing fee, for immediate payment.
A cash discount also referred to as a purchase cut price or income discount, is a reduction in the purchase fee of an excellent because of an early cash charge. In different words, the seller of products is inclined to lessen the fee of the goods if the purchaser is inclined to pay for the coolest in advance.
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The correct answer is choice C.
Performance, polygraph and drug tests are sometimes required by employers in various fields in order to screen applicants.
Explanation:
I = Prt
I = (10000)(.11)(4) = $4400
Total Cost = Down Payment + Principal Borrowed + Interest
Total Cost = 2000 + 8000 + 4400
= $14,400
Monthly Payment = (Principal Borrowed + Total interest) / Total number of payments
Monthly Payment = (10,000 + 4400) / 48
= $300
APR= (2 × n × I) / [P × (N + 1)]
APR = (2 × 12 × 4400) / [10,000 × (48+1)]
= 21.55%
The amount of 3000 will have to be deposited to earn $90 of interest for 8 months, if money is deposited in a bank that pay's simple interest of 4.5%.
Explanation:
The given is,
Simple interest of 4.5 %
Earn $90 of interest for 8 months
Step:1
Formula to calculate the simple interest method,
...................................(1)
Where,
F - Future amount
P - Initial investment
i - Rate of interest
N - Number of years
From given,
i - 4.5%
Let, X - Initial investment, P = X
F = P + Interest amount
F = X + 90
From the equation (1),
(∵ N = 8 months = 
= 0.667 year )
= 3000
P = X = $ 3000
From the X value.
F = P + 90
= 3000 + 90
F = $ 3090
Result:
The amount of 3000 will have to be deposited to earn $90 of interest for 8 months, if money is deposited in a bank that pay's simple interest of 4.5%.
