Answer:
{d,b}={4,3}
Step-by-step explanation:
[1] 11d + 17b = 95
[2] d + b = 7
Graphic Representation of the Equations :
17b + 11d = 95 b + d = 7
Solve by Substitution :
// Solve equation [2] for the variable b
[2] b = -d + 7
// Plug this in for variable b in equation [1]
[1] 11d + 17•(-d +7) = 95
[1] -6d = -24
// Solve equation [1] for the variable d
[1] 6d = 24
[1] d = 4
// By now we know this much :
d = 4
b = -d+7
// Use the d value to solve for b
b = -(4)+7 = 3
Solution :
{d,b} = {4,3}
Answer:
2003.85
Step-by-step explanation:
I realize I'm a year late, but the math of the previous answer was so terrible I'm honestly too horrified to let this be.
You have save by an increasing amount of 3 pennies per day. You start with 3 and build from that, each day, for 365 days. First, you must figure out what amount of pennies you shoved into your account on the final 365th day.
An= a1+(n-1)d
An=term you want
a1= term you begin with
n= term you want
d= constant amount
A_365= 3 + (365-1)*3
A_365= 1095
Arithmetic Sum: Sn = N/2 (a1 + an)
365/2 * (3 + 1095) = 200385.
This means you've invested a total of 200385 PENNIES after 365 days.
The question asks for dollars, not your rusting lincoln's.
As (I hope) you know, 1 Dollar = 100 pennies
200385 pennies/100 = 2003.85.
This means you have $2003.85 in your account by the conclusion of the 365th day.
Answer: 2.01%.
Step-by-step explanation:
Suppose Alex invests $1 into the account for one year. The formula is A=P0⋅(1+rk)N⋅k with P0=$1. We know that r=0.02 and k=2 compounding periods per year. Now, N=1 year. Substituting the values we have A=$1⋅(1+0.022)2=$1.0201. Now, to calculate the effective annual yield, we will use the formula rEFF=A−P0P0. rEFF=1.0201−11=0.0201 or 2.01%. When rounded to two decimals, rEFF=2.01%. However, do not include the % in your answer.
It is nonlinear because X is being raised to the second power
