Answer:
40 more specialty items were produced at the old factory than at the new factory. p(w)=230(1.1)^w. w=0. Old factory=230. New factory=190. 230-190=40.
B.
f(x)=a(1+r) ^x. a= initial value. r=percent growth rate.
p(w)=230(1.1)^w=growth rate for the old factory. 1+r=1.1. r=0.1.
220=190(1+r) ^1= growth rate for the new factory. 1+r=220/190. 1+r=1.15. r=0.15.
Therefore, while the new factory’s growth rate is 0.15=15%, the old factory’s growth rate is 0.1=10%. Thus, the production of the new factory is growing faster.
C. The week the new factory started producing more specialty items than the old factory is on the 4th week.
Week 1 2 3 4 5 6 7
Old Factory 253 278.3 306.13 336.743 370.417 407.459 448.205
New Factory 220 252 290 337 380 440 505
Difference -33 -26.3 -16.13 0.257 9.583 32.541 56.795
Step-by-step explanation:
Answer:
35643
Step-by-step explanation:
M
(3x+20)
H (x+25)°
N
(x+20)
K
What is the measure of ZJHN?
25°
45°
50°
O95°
Answer:
The answer to your question is: x = -1
Step-by-step explanation:
Data
slope of l = x
slope of m = x +2
they are ⊥
Process
If they are ⊥, then, x + 2 = - 1/x
x(x + 2) = -1
x² + 2x = -1
x² + 2x + 1 = 0
(x + 1)² = 0
x + 1 = 0
x = -1
i would start by simplifying the equation to get y by itself, you don't need to do this, but it makes it a little easier
y + 2 = 3 ( x + 4) distribute the 3 through the parenthesis
y + 2 = 3x + 12. subtract 2 from both sides
y = 3x +10
now to fill in the chart simply plug in the value of x to see what value of y it produces
y = 3(-2) +10
y = -6+10
y = 4
(-2,4)
y = 3(0) + 10
y = 0 + 10
y = 10
(0,10)
y = 3(2)+10
y = 6 + 10
y = 16
(2,16)
y = 3(4) + 10
y = 12 + 10
y = 22
(4,22)
Answer:
31
Step-by-step explanation:
First type of clay required 3 cups of flour per batch
She made 5 batches
5 * 3 = 15
So she used 15 cups of flour for the first type of clay
Second kind of clay required 4 cups of flour per batches
She made 4 batches
4 * 4 = 16
So she used 16 cups of flour for the second type of clay
we now add the total number of cups of flour used for each type of clay
16 + 15 = 31
She used a total of 31 cups of flour