Answer:
x = 12
, y = -3
Step-by-step explanation:
Solve the following system:
{2 x + 7 y = 3 | (equation 1)
x = -4 y | (equation 2)
Express the system in standard form:
{2 x + 7 y = 3 | (equation 1)
x + 4 y = 0 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{2 x + 7 y = 3 | (equation 1)
0 x+y/2 = -3/2 | (equation 2)
Multiply equation 2 by 2:
{2 x + 7 y = 3 | (equation 1)
0 x+y = -3 | (equation 2)
Subtract 7 × (equation 2) from equation 1:
{2 x+0 y = 24 | (equation 1)
0 x+y = -3 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 12 | (equation 1)
0 x+y = -3 | (equation 2)
Collect results:
Answer: {x = 12
, y = -3
Answer:
Mr. Snowbully
Step-by-step explanation:
I think the mean hourly snowfall is named Mr. Snowbully
It's a funny name!
Well, the snow would grow at a rate of 4 cm every hour so...
4
Answer:
The amount after three years is $12831.8
Step-by-step explanation:
* Lets revise the compound interest
- The formula for compound interest is A = P (1 + r/n)^(nt)
Where:
# A = the value of the investment with interest
# P = the initial investment amount
# r = the annual interest rate (decimal)
# n = the number of times that interest is compounded per unit t
# t = the time the money is invested
* Now lets solve the problem
∵ The initial amount is $9000
∴ P = $9000
∵ The rate is 12%
∴ r = 12/100 = 0.12
∵ The interest is compound quarterly
∴ n = 4
∵ The money invested for 3 years
∴ t = 3
∵ A = P (1 + r/n)^(nt)
∴ A = 9000(1 + 0.12/4)^(4×3)
∴ A = 9000(1 + 0.03)^12
∴ A = 9000(1.03)^12 = $12831.8
Answer:
Step-by-step explanation:
<u>Set inequality as per question:</u>
<u>We know that:</u>
- V = πr²h
- h = 10 cm
- π = 3.14
<u>Substitute and solve for r:</u>
- 2000 ≤ 3.14*10r² ≤ 2500
- 2000 / 31.4 ≤ r² ≤ 2500 / 31.4
- 63.69 ≤ r² ≤ 79.62
- 64 ≤ r² < 81
- r² = 64 ⇒ r = 8 cm is the possible radius
Answer:
4%
Step-by-step explanation:
Given data
The total sales= $8900
Donated amount=$356
Hence the percent donated is
=Donated amount/Total Sales *100
= 356/8900*100
=0.04*100
=4%
Hence the donated percent is 4%
