Answer:
see explanation
Step-by-step explanation:
the translation (x, y) → (x - 4, y + 7)
means subtract 4 from the x-coordinate and add 7 to the y-coordinate of the original coordinate points
R(0, - 4 ) → R'(0 - 4, - 4 + 7 ) → R'(- 4, 3 )
S(- 2, - 1 ) → S'(- 2 - 4, - 1 + 7 ) → S'(- 6, 6 )
T(- 6, 1 ) → T'(- 6 - 4, 1 + 7 ) → T'(- 10, 8 )
Answer:
You should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.
Step-by-step explanation:
Using the formula

where
I = Interest earned
P = The principal (let say in $)
r = The Interest Rate
t = time
Given that
- P = The principal amount needed to invest (let say in $)
Thus,

100 = P × 5% × 1
100 = P × 5/100 × 1
100 × 100 = P × 5
10000 = P × 5
P = 10000/5
= 2000 (let say in $)
Thus, you should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.
Answer:
Interest: £23.4
Amount: £101.4
Step-by-step explanation:
6 × 5/100 × 78 = 23.4
Balance: 78 + 23.4 = 101.4
Principal amount of money deposited by Mat in the bank = $2000
Rate of simple interest given by the bank = 10%
Number of years for which the money is kept in the bank = 5 years
As no money was withdrawn from the account, so
Amount after 5 years = Principal [1 + (Rate * Time)]
= 2000 [ 1 + (10/100) * 5]
= 2000 [ 1 + (1/2)]
= 2000 * (3/2)
= 1000 * 3
= 3000 dollars
So the amount of money made by Mat after 5 years will be $3000.00