Answer:
1. 3x-4.7
2. 4x-11
3. 7x-5
4.4x-10
5. 3x-1
6. 8x-10
Step-by-step explanation:
1. 1x-1.2+2x-3.5
2. 5x-7-x-4
3. 28x+11-21x-16
4. 6x-7-2x-3
5. 5x-2-2x+1
6. 14x+11-6x-21
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
Step-by-step explanation:
Giving the following information:
Joshua:
Initial investment (PV)= $750
Interest rate (i)= 0.0341/4= 0.008525
Number of periods (n)= 18*4= 72 quarters
Josiah:
Initial investment (PV)= $750
Interest rate (i)= 0.0285
Number of periods (n)= 18 years
To calculate the future value of each one, we need to use the following formula:
FV= PV*(1 + i)^n
Joshua:
FV= 750*(1.008525^72)
FV= $1,381.98
Josiah:
FV= 750*(1.0285^18)
FV= $1,169.74
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
Answer:
![\text{\bf{A.}}\qquad\left[\begin{array}{ccc}-19&9&-7\\15&-7&6\\-2&1&-1\end{array}\right]](https://tex.z-dn.net/?f=%5Ctext%7B%5Cbf%7BA.%7D%7D%5Cqquad%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-19%269%26-7%5C%5C15%26-7%266%5C%5C-2%261%26-1%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Many scientific and graphing calculators will compute this easily.
The inverse of a square matrix is a square matrix of the same dimensions. That eliminates choices C and D. We can check choices A and B by computing a couple of terms of the product of the given matrix and its "inverse". That product should be the identity matrix, with 1 on the diagonal and 0 elsewhere.
Using matrix A,
(r, c) = (1, 1) = 1(-19) +2(15) +5(-2) = -19 +30 -20 = 1 . . . . correct
(r, c) = (2,3) = 3(-7) +5(6) +9(-1) = -21 +30 =9 = 0 . . . . correct
Using matrix B,
(r, c) = (1, 1) = 1(-19) +2(-2) +5(15) = -19 -4 +75 = 52 . . . . incorrect
Indications are that choice A is appropriate.
Archimedes (287-212 B.C) --> - 287 birth year
Pythagoras (569-500 BC) ---> - 569 birth year
569 - 287 = 282 as years apart of their birth years
Answer:
12
Step-by-step explanation:
1/5 of 30 is 30/5 = 6
1/2 of (30 -6) = 12 . . . half of those remaining after mint icing
The other half of those remaining is also 12 cupcakes. So, 12 cupcakes will get vanilla icing.
