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Delvig [45]
3 years ago
8

Jamie invests part of $10,000 at 9% annual interest and the rest at 8%. If his annual income from

Mathematics
1 answer:
vazorg [7]3 years ago
6 0

Answer:

$4000

Step-by-step explanation:

Assuming a = money invested at 9%

Assuming b = money invested at 8%

then we can form am equation from the question given

1) a + b = $10000, also

0.09a + 0.08b = $860 -> multiply by 100

2) 9a + 8b = $86000

Next we try to solve both equations simultaneously. We multiply both the left hand side and the right hand side of the first equation by 8. We have

3) 8a + 8b = $80000, now we subtract 3 from 2

9a + 8b = $86000

-8a - 8b = -$80000

a = $6000.

Then, we plug this in any of the first 2 equations, to get b

9 * $6000 + 8b = $86000

$54000 + 8b = $86000

8b = $86000 - $54000

8b = $32000

b = $32000/8

b = $4000.

Therefore, he invested $4000 at 8%

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Jack and Jill both ordered pizzas from Wayne's Pizza for their parties. Jack paid $58.50 for 3 pepperoni pizzas and 2 plain pizz
just olya [345]

Answer:

A plain pizza is $10.50 and a pepperoni pizza is $12.50

Step-by-step explanation:

Create a system of equations where x is the price of a pepperoni pizza and y is the price of a plain pizza:

3x + 2y = 58.5

2x + 4y = 67

Solve by elimination by multiplying the top equation by -2:

-6x - 4y = -117

2x + 4y = 67

Add these together and solve for x:

-4x = -50

x = 12.5

So, a pepperoni pizza is $12.50. Plug in 12.5 as x into one of the equations, and solve for y:

2x + 4y = 67

2(12.5) + 4y = 67

25 + 4y = 67

4y = 42

y = 10.5

So, a plain pizza is $10.50.

A plain pizza is $10.50 and a pepperoni pizza is $12.50

8 0
2 years ago
A car travels 24 miles every half hour. how fast is it going?
UNO [17]
Speed = (24*2)/(0.5*2) miles/hr
=48 miles/hr
7 0
3 years ago
Jason is cutting a roll of sausage into pieces that are 1/2 inches thifk if the roll is 6 inchew long how many pieces of sausage
e-lub [12.9K]

Answer:

12 rolls

Step-by-step explanation:

Jason wants to cut roll into pieces that are each 1/2 inches thick. 1/2 is equal to 0.5, so thickness of each roll is 0.5 inches

Total length of the roll is 6 inches. We have to find how many small 0.5 inch rolls can he cut.

In simple words we can say that we have to find: how many 0.5 inches can be out from 6 inches. This type of problem is solved by division. Dividing 6 inches by 0.5 inches will give us: How many 0.5 inches can be cut out from 6 inches i.e. how many 0.5 inches roll can be made from 6 inches roll

6 divided by 0.5 is 12.

This means Jason can cut 12 rolls of sausages each with thickness of 0.5 inches from a roll of 6 inches.

7 0
3 years ago
What is the value of i4?
natima [27]

Answer:

  1

Step-by-step explanation:

You want to know the value of i^4.

<h3>Powers of i</h3>

The fourth power of i, √(-1), can be found the same way the value of any fourth power can be found: carry out the multiplication.

  i^4 = i·i·i·i = -1·i·i = -i·i = -(-1) = 1

The fourth power of i is 1.

__

<em>Additional comment</em>

As you can see from the evaluation process, ...

  i¹ = i

  i² = -1 . . . . . definition of i

  i³ = -i

  i⁴ = 1

The sequence repeats for higher powers.

8 0
1 year ago
Need help with this didn’t understand it
zaharov [31]

Answer:

Ok, the solution to the first one. See below.

Step-by-step explanation:

1>3-d\\\\\mathrm{Add\:}d\mathrm{\:to\:both\:sides}\\\\1+d>3-d+d\\\\\mathrm{Simplify:}\\\\1+d>3\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\1+d-1>3-1\\\\\mathrm{Simplify:}\\\\d>2

See attachment below.

Best Regards!

6 0
3 years ago
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