Answer:
Step-by-step explanation:
It is given that the snack shop makes 3 mixes of nuts in the following proportions.
Mix I: 6 lbs peanuts, 2 lbs cashews, 2 lbs pecans.
Mix II: 5 lbs peanuts, 3 lbs cashews, 2 lbs pecans.
Mix III: 3 lbs peanuts, 4 lbs cashews, 3 lbs pecans.
they received an order for 25 of mix I, 18 of mix II, and 35 of mix III.
We need to find the matrices A & B for which AB gives the total number of lbs of each nut required to fill the order.
Mix I Mix II Mix III
peanuts 6 5 3
cashews 2 3 4
pecans 2 2 2
The product of both matrices is
Therefore matrix AB gives the total number of lbs of each nut required to fill the order.
If you divide by 8, you can put the equation into intercept form. That form is ...
... x/a + y/b = 1
where <em>a</em> and <em>b</em> are the x- and y-intercepts, respectively.
Here, your equation would be
... x/(-2) + y/(-4) = 0
The graph with those intercepts is not shown with your problem statement here. See the attachment for the graph.
Answer: 1,594,323
Step-by-step explanation:
No of leaves which falls daily on the first day = 1
No of days leaves falls = 14 days.
Solution:
No of leaves of day 1
= 1.
No of leaves on day 2
= 1*3
= 3
No of leaves of day 3
= 3*3
= 9
No of leaves of day 4
= 9*3
= 27
No of leaves on day 5
= 27*3
= 81
No of leaves on day 6.
= 81*3
= 243.
No of leaves of day 7
= 243*3
= 729
No of leaves on day 8
= 729 * 3
= 2187
No of leaves on day 9
= 2187 *3
= 6561
No of leaves on day 10
= 6561 * 3
= 19683
No of leaves on day 11
= 19683 * 3
= 59049
No of leaves on day 12
= 59049 *3
= 177147
No of leaves on day 13
= 531441
No of leaves on day 14
= 531441 * 3
= 1,594,323.
The number of leaves that would be on the ground on the 24th day of autumn would be 1,594,323
Answer:
SAS
Step-by-step explanation:
ΔABD ~ ΔECD is similar through:
S - because ED = CD (Given)
A - same angle ∠D (Statement 2)
S - because AD = BD (Given)
Cheers!
Answer:
9% fund: $
210,000
13% fund: $70,000
Step-by-step explanation:
As she wants to have a $28,000 annual return for her $280,000 investment, she is expecting a return rate of 10%:
If we call x the proportion of the capital in the 9% fund, then (1-x) is the proportion of the capital in the 13% fund,and the return of the combination has to be the expected return of 10%:
Then, we know that 75% of the capital should be invested in the 9% fund and 25% in the 13% fund.
This correspond to a capital of:
9% fund: 0.75*$280,000 = $
210,000
13% fund: 0.25*$280,000 = $70,000
