Y=2x-3
When you plug it in
2 times 2 is 4 minus 3 is 1
2 times 3 is 6 minus 3 is 3
2 times 5 is 10 minus 3 is 7
2 times 7 is 14 minus 3 is 11
Just plug in the numbers and you will see that
Y=2x-3 is the correct equation for those functions.
Answer:
$375.49
Step-by-step explanation:
- This question tests our knowledge of annuities
-Given the desired final amount is $25,000, the term is n=25 and the interest rate is 4%, the principal amount invested can be calculated as:
Hence, the annual deposits are $375.49
Answer:
The Answer is: 47 1/4
Step-by-step explanation:
11/8a + 5/4a = 18
Create a common denominator for he coefficient of a:
11/8a + 2/2 * 5/4a = 18
11/8a + 10/8a = 18
21/8a = 18
Multiply both sides by the inverse of 21/8:
8/21 * 21/8a = 18 * 21/8
a = 378/8 or 189/4 or 47 1/4
Let n = number of nickels, and p = number of pennies.
The number of coins is 25, so we get this equation.
n + p = 25
The value of the coins is 0.05 per nickel, and 0.01 per penny.
0.05n + 0.01p = 0.73
Now you have a system of equations.
n + p = 25
0.05n + 0.01p = 0.73
Solve the first equation for n:
n = 25 - p
Now substitute into the second equation.
0.05(25 - p) + 0.01p = 0.73
1.25 - 0.05p + 0.01p = 0.73
-0.04p = -0.52
p = 13
There were 13 pennies.
Now we substitute 13 for p in n + p = 25 to find out the number of nickels.
n + 13 = 25
n = 12
There are 13 pennies and 12 nickels.
Check: 13 pennies and 12 nickels does total 25 coins.
13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73
The value is $0.73.
Our answer is correct.
Answer:
8 cm
Step-by-step explanation:
... BO/OD = AO/OC = 3/1
Written another way, this is ...
... OD : BO = 1 : 3
Now, BD = OD + BO, so we have
... BD : BO = (OD +BO) : BO = (1 +3) : 3 = 4 : 3
That is, BD = 4/3 × BO
... BD = 4/3 × 6 cm = 8 cm
