Answer:
The growth rate he needs to achieve his goal is approximatelly 19.8%
Step-by-step explanation:
Since the sum will be compounded continuously we have to use the appropriate formula given below:
M = C*e^(r*t)
Where "M" is the final amount, C is the initial amount, r is the interest rate and t is the time elapsed. Since Sung Lee will invest that sum at 18 years old and he wants to recieve the return at 25, then the time elapsed is given by 25 -18 = 7 years. We can now apply the data to the formula:
16000 = 4000*e^(r*7)
4000*e^(7*r) = 16000
e^(7*r) = 16000/4000 = 4
ln[e^(7*r)] = ln(4)
7*r = ln(4)
r = ln(4)/7 = 0.198
The rate of interest is given by (r)*100%, so we have (0.198)*100% = 19.8%.
Answer:
$27
Step-by-step explanation:
Before entering, you have already payed, thus at 0 rides, your money payed is 27.
Answer:
There was no error
Step-by-step explanation:
There are two types of statistical errors, the type 1 error and the type 2 error. In this case we refute the null hypothesis when the hypothesis is, in fact, false, because the mean process is 9 days instead of 7. Therefore we made no errors.
If the null hypothesis were True, a type 1 error would have ocurred. If the null hypothesis were false and we didnt refute it, then a type 2 error would have ocurred.
9514 1404 393
Answer:
- white chocolate chip: $17
- gingerbread: $19
Step-by-step explanation:
We can let x and y represent the costs of packages of white chocolate chip and gingerbread cookie dough, respectively. Then the two sales can be represented by ...
11x +2y = 225
8x +10y = 326
__
There are several ways a system of equations like this can be solved. One of my favorites is to use a graphing calculator (see attached).
We can also use substitution. We see that the coefficients of y are simply related, so we can use ...
2y = 225 -11x . . . . from equation 1
8x +5(2y) = 326 . . . rearrange equation 2
8x +5(225 -11x) = 326 . . . . substitute for 2y
-47x +1125 = 326 . . . . simplify
799 = 47x . . . . . . . add 47x-326
17 = x . . . . . . . . . . . divide by 47
2y = 225 -11(17) = 38
y = 19 . . . . . . divide by 2
The package costs are ...
white chocolate chip dough: $17
gingerbread dough: $19.
Answer:
A, D
Step-by-step explanation:
A is a completed statement and b can be solved.
B is an incomplete statement.
C is just a number.
D is a completed statement and y can be solved.
