The answer can be readily calculated using a single variable, x:
Let x = the amount being invested at an annual rate of 10%
Let (8000 - x) = the amount being invested at an annual rate of 12%
The problem is then stated as:
(x * 0.10) + ((8000 - x) * 0.12) = 900
0.10(x) + ((8000 * 0.12) - 0.12(x)) = 900
0.10(x) + 960 - 0.12(x) = 900
0.10(x) - 0.12(x) = 900 - 960
-0.02(x) = -60
-0.02(x) * -100/2 = -60 * -100/2
x = 6000 / 2
x = 3000
Thus, $3,000 is invested at 10% = $300 annually; and $8,000 - $3,000 = $5,000 invested at 12% = $600 annually, which sum to $900 annual investment.
Answer:
The number of ways this can be done is 1,260 ways
Step-by-step explanation:
In this question, we are asked to calculate the number of ways in which the letters of the word balloon can be arranged.
To do this, we take into consideration those letters that are repeated and the number of times repeated. The letters are l and o and are repeated two times each.
The number of ways = 7!/2!2! = 5040/4 = 1,260 ways
Answer:
1. $8.
2. 48 counters.
Step-by-step explanation:
1. A pair of socks cost 20 - 2(6)
= $8.
2. let the number of counters in Box A and Box be be x.
Then the number of counters in Box B after the transfer is x + 1/2 x.
x + 1/2 x = 72
1.5 x = 72
x = 72 / 1.5
= 48.
Answer: A 2.7 x 10^9
Explanation: brain go brrrrr
Answer:
5 minutes
Step-by-step explanation:
hope it helps
