Answer:
Jim would have received 18 vouchers. One for each pizza he purchased
Answer: About 73 years
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 2000
r = 5.5% = 5.5/100 = 0.055
n = 1 because it was compounded once in a year.
A = 100000
Therefore,.
100000 = 2000(1 + 0.055/1)^1 × t
100000/2000 = (1.055)^t
50 = 1.055^t
Taking log of both sides, it becomes
Log 50 = log 1.055^t
1.699 = t × log 1.055
1.699 = 0.0234t
t = 1.699/0.0234
t = 72.6
Approximately 73 years
Subtract 5 from both sides
Answer:
32
Step-by-step explanation:
You need to work backwards to solve this equation!
9 - 17 = -8
w / -4 = -8
32 / -4 = -8
Which means that w = 32
Answer:
16. Yes
17. Yes
Step-by-step explanation:
Since the angles are congruent (due to parallel lines) the two triangles are similar. Similar triangles form congruent ratios between their corresponding sides.
Since the quadrilaterals are similar, this means the angles in each are congruent. This will not change when divided by diagonals. The triangles in each will have congruent angles and their sides will maintain equivalent ratios.
