Answer:
It will take 4.84 years
Step-by-step explanation:
The initial amount that Matt invested was $1669. It means that principal is
P = 1669
It was compounded 12 times per year. So
n = 12
The rate at which the principal was compounded is 2%. So
r = 2/100 = 0.02
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years.
A = 1,844.38
Therefore
1,844.38 = 1669(1+0.02/12)^(12×t)
1,844.38/1669 = (1.0017)^(12t)
1.1051 = (1.0017)^(12t)
Taking log to base 10 of both sides, it becomes
Log 1.1051 = log 1.0017^(12t)
Log 1.1051 = 12tlog 1.0017
0.043 = 0.00074 × 12t
0.043 = 0.00888t
t = 0.043/0.00888
t = 4.84 years
Answer:
y = 3x - 14
Step-by-step explanation:
If a line is parallel to another, it will have the same slope
So, the line's slope will be 3
Plug in the given point and the slope into y = mx + b, and solve for b
y = mx + b
-2 = 3(4) + b
-2 = 12 + b
-14 = b
Plug in the slope and b into y = mx + b
y = 3x - 14
So, the equation is y = 3x - 14
Answer:
The final price of the smart phone if you use the store credit card is $339.5
Step-by-step explanation:
Given;
original price of the smart phone = $679
initial discount = 35%
additional discount if you use the store credit card = 15%
total discount of the smart phone if you use the store credit card
= 35% + 15% = 50%
The final price of the smart phone, if you use the store credit card is given as;
P = 0.5 X $679
P = $339.5
Therefore, the final price of the smart phone if you use the store credit card is $339.5
Answer:
The answer is 3
Step-by-step explanation:
The answer is 3 because x= 15/5 = 3
