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zloy xaker [14]
2 years ago
11

7. A total of $12,000 was invested in two types of bonds. One pays 8% simple interest while the other

Mathematics
1 answer:
Nadya [2.5K]2 years ago
6 0

Answer:

Step-by-step explanation:

Let x = $ invested in 8% account

y= $ invested in 10.5% account

x + y= 12000

0.08x + 0.105y = 1145

$4600 invested in the 8% account

and $7400 invested in the 10.5%

account

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Divide 42 in a ratio of 1:2:3
Vilka [71]

the ratio in which 42 should be divided is 1:2:3

the sum of the parts of the ratio is - 1 + 2 + 3 = 6

this means that there's a sum of 6 parts

so we need to find how much 1 part is equivalent to

if 6 parts are equivalent to 42

then 1 part is equivalent to - 42/6 = 7

so the ratio should be 1:2:3

1 part - 7

2 parts - 7 x 2 = 14

3 parts - 7 x 3 = 21

therefore 42 divided into 1:2:3 ratio is as follows

7 : 14 : 12

4 0
2 years ago
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What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve.
babymother [125]
We can use t=x^2 to solve this
Once we do that we will have simple square equation which we know how to solve.

t^2 + 3t + 2 = 0

t1 = -1
t2 = -2

x1 = √-1 = i
x2 = -i

x3 = √-2 = i√2
x4 = -i√2

Make sure you know that i^2 = -1 and (-i)^2 = -1 which gives us solutions we got...
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2 years ago
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Helppp please.
Sati [7]
The solution
m = s + 5 
<span>m - 4 = (3s) - 3 </span>
<span>(s + 5) - 4 = 3s - 3 </span>
<span>s + 1 = 3s - 3 </span>
<span>s = 3s - 4 </span>
<span>-2s = -4 </span>
<span>s = 2 </span>
<span>m = 7 </span>
<span>Check this: </span>

<span>m - 4 = 3s - 3 </span>
<span>7 - 4 = 3(2) - 3 </span>
<span>3 = 6 - 3 </span>
<span>3 = 3 </span>

<span>So Sandy is 2 and Megan is 7.</span>
5 0
2 years ago
Members of a school club are buying matching shirts. They know at least 25 members will get a shirt. Long-sleeved shirts are $10
charle [14.2K]

Answer:

Maximum number of long sleeved shirt that can be purchase is, 8

and

Minimum number of long sleeved shirt that can be purchased is, 0

Step-by-step explanation:

let y represents the number of short sleeves  and x represents the number of long sleeves.

As per the given condition:

Members of a school club are buying matching shirts. They know at least 25 members will get a shirt.

we have;

x+y\geq 25              or

y\geq 25 -x    ....[1]

Since, long sleeves shirt are $ 10 each and short sleeves shirt are $ 5 each.

then;

Total cost of long sleeves is 10x and

the total cost of short sleeves is 5y

Also; the club can spend no more than $ 165

then;

10x+5y\leq 165                  

 5y\leq 165 -10x or

y\leq 33-2x ......[2]

Solving the inequality equation with the graph :

Plot equation [1] and [2]; we get the maximum at point (8 , 17)

so, x= 8.

If we take minimum value of x =0 then y is between 25 and 33.

so, the solution area is between the lines to the left of where the lines intersect.

Therefore, the maximum number of long sleeved shirts can be purchased is 8 and the minimum number of long sleeved shirt can be purchased is 0






6 0
2 years ago
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Happy is four times as old as Grumpy. The sum of their age is 100. How old are Happy and<br> Grumpy?
lys-0071 [83]

Answer:

grumpy is 20 happy is 80

Step-by-step explanation:

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1 year ago
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