Answer: 64 years
Step-by-step explanation:
Let assume the dealer sold the bottle now for $P, then invested that money at 5% interest. The return would be:
R1 = P(1.05)^t,
This means that after t years, the dealer would have the total amount of:
$P×1.05^t.
If the dealer prefer to wait for t years from now to sell the bottle of wine, then he will get the return of:
R2 = $P(1 + 20).
The value of t which will make both returns equal, will be;
R1 = R2.
P×1.05^t = P(1+20)
P will cancel out
1.05^t = 21
Log both sides
Log1.05^t = Log21
tLog1.05 = Log21
t = Log21/Log1.05
t = 64 years
The best time to sell the wine is therefore 64years from now.
Answer:
y-intercept, c = 325
Slope, m = 50
The x-axis represents the number of months and y-axis represents the total amount in saving accounts.
Step-by-step explanation:
We are given the following in the question:
A saving account currently holds $325. Jesus adds $50 each month.
Let x be the number of months and y be the total money n the saving account.
Then, we can use a linear function to represent the money in the account.
Comparing to general linear function,
where m is the slope and tells the rate of change and c is the y-intercept that is the value when x is zero.
Comparing we get:
m = 50
c = 325
y-intercept = c = 325
Slope, m = 50
The x-axis represents the number of months and y-axis represents the total amount in saving accounts.
The attached image shows a graph for the same.
Let us say that the procedure of completely filling up the
pool with water is called “1 job”. Therefore the rates of the equipment in
doing the job would be:
<span>Rate of handheld hose = 1 job / 8 minutes ---> 1</span>
<span>Rate of lawn sprinkler = r --->
2</span>
<span>Rate of the two combines = 1 job/ 5 minutes ---> 3</span>
So we are to find the equation to use, in this case, we
simply have to add equations 1 and 2 to get 3:
1 / 8 + r = 1 / 5
Multiplying both sides by 5:
<span>(5 / 8) + 5 r = 1 --->
ANSWER</span>
Answer:
46,189
Step-by-step explanation:
The prime numbers that are less than 20 are :
1,2,3,5,7,11,13,17,19
to get the greatest value, we multiply the four numbers with the largest values i.e
11 x 13 x 17 x 19 = 46,189
