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My name is Ann [436]
3 years ago
8

Jesse is investing $2000 more in stocks than in bonds.The bonds pay 7.2% in interest and the stocks pay 6%. If the income from e

ach investment is the same,how much interest will he receive in all? ok the example is saying they multiplied 0.06 and 0.072 by 1000 how did they get 1000? @igreen
Mathematics
1 answer:
tamaranim1 [39]3 years ago
7 0
X+2,000=stocks
x=bonds
7.2%⇒(.072)(x)=bonds invested
6%⇒(.06)(x+2,000)=stocks invested

Here is the equation:

x(.072)=(.06)(x+2,000) | Since the income from both equal

You then solve each side first (assume you know how to but if not, let me know)

You first multily the parentheses/x variables 
⇒.072x = .06x+2,000(.06)

⇒.072x = .06x+120

You then minus .06x from each side
⇒.012x = 120

You then divide each side by .012
.012x÷.012=x
120÷.012=10,000
x=10,000

Now change the original x variables with 10,000

.072($10,000)=$720 bond interest
<u>They are equal so $720×2=$1440</u>



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3 years ago
Please help this hurts
Svetllana [295]

Answer:

6x - 11y = -13 is the answer.

Step-by-step explanation:

Let's plug in the points to see what sticks.

Start with (-4, -1)

1) 11x - 6y = 11(-4) - 6(-1) = -44 + 6 = -38 \neq 13

2) 6x - 11y = 6(-4) - 11(-1) = -24 + 11 = -13

3) 6x - 7y = 6(-4) - 7(-1) = -24 + 7 = -17 \neq 17

4) 6x - 11y = 6(-4) - 11(-1) = -24 + 11 = -13 \neq 13

The only one that fits is #2.  Let's try the other point to be sure.

2) 6x - 11y = 6(1.5) - 11(2) = 9 - 22 = -13

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3 years ago
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kati45 [8]

Answer:

Okay. At noon, the hour and minute hand overlap. First, let’s calculate the speed of the hands.

The minute hand rotates once around the clock every hour. It goes 360 degrees in 60 minutes, so it rotates 360/60 or 6 degrees per minute. The hour hand goes once around the clock every 12 hours. Because there are 60 minutes in an hour, it goes 360 degrees 12*60 or 720 minutes. This means it travels at a speed of 360/720 or 0.5 degrees per minute.

Once the clock starts, the minute hand goes ahead and rotates ahead of the hour hand. At 1:00, the minute hand is at 12, and the hour hand is ahead at 1. This is where we will start our calculations.

Now, we have a variable, m, which is the minutes that have passed since the clock started. So, our minute hand speed is 6m, and our hour hand speed is 0.5m. However, because the hour hand is at one, it is at 30 degrees. (360/12 * 1.) This means our equation is 6m = 0.5m+30.

Now, we calculate.

6m = 0.5m+30

5.5m = 30

m = 30/5.5

m = 5.45

So at 5.45 minutes, the minute hand is at the hour hand. However, because one hour has passed since we started, we have to add on one hour.

So, our final total is 1 hour 5 minutes and 27 seconds.

Step-by-step explanation:

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Step-by-step explanation:

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