Answer: 4 years after the original investment, it is approximately $1,093.
Step-by-step explanation:
Hi, to answer this question we have to apply the simple interest formula:
I = p x r x t
Where:
I = interest
P = Principal Amount
r = Interest Rate (decimal form)
t= years
Replacing with the values given
I = 1000x (2.25/100) x t
- It will triple in approximately 3 years. FALSE
I = 1000x (2.25/100) x 3 =67.5
1000+67.5 = 1067.5
- It will no longer grow after several years: False, it will grow because it has a growth rate.
- 4 years after the original investment, it is approximately $1,093. TRUE
I = 1000x (2.25/100) x 4 =90
1000+90 = $1090
- It will double in approximately 10 years.
I = 1000x (2.25/100) x 10 =225
1000+90 = $1225
Feel free to ask for more if needed or if you did not understand something.
Answer:
-4
Step-by-step explanation:
y= mx+c
y= -4x+12-8
y= -4x+4
Therefore, m is -4.
As you can see, the first number line is divided into tenths (0.1, 0.2, 0.3). So, put 8.152 in between 8.1 and 8.2.
Then, the ends of the next number line should be 8.1 at the start, and 8.2 at the end. You keep going smaller to find the exact spot. So, move 5 places inwards and place the 8.153, between 8.15 and 8.16.
Afterwards, the ends of the last number line should be 8.15 and 8.16. Now, it is divided into thousandths. So, find the third spot. Now, it should be 8.153 correctly labeled.
Answer:

Step-by-step explanation:
Since you want to get q only and q appears in both side of the equation. Try to isolate q to one side.
1) Expand 2(q+p)
2q + 2p = 1 + 5q
2) Move all q terms to one side
5q - 2q = 2p - 1
3q = 2p - 1
3) Divide 3 on both side (to isolate q)
q = 
x = amount of 21% alloy
y = amount of 50% alloy
The metallurgist wants a combination weighing a total of 44 lb, so
x + y = 44
Each pound of either alloy contributes either 0.21 or 0.5 pound of titanium. The final product needs to be comprised of 37% titanium; weighing at 44 lb, this means it should contain 0.37 * 44 = 16.28 lb. So
0.21x + 0.5y = 16.28
From the first equation,
x + y = 44 ==> y = 44 - x
Substitute this into the second equation and solve for x:
0.21x + 0.5(44 - x) = 16.28
-0.29x = -5.72 ==> x = 19.72
Substitute this into the first equation to solve for y:
19.72 + y = 44 ==> y = 24.28