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Anuta_ua [19.1K]
3 years ago
15

You invested a total of $25000 at 3% and 4.5% simple interest. During one year, the two accounts earned $900. How much did you i

nvest in each account?
Mathematics
1 answer:
Sedaia [141]3 years ago
4 0
A:amount of money invested in the account with 3% simple interest
B: amount of money invested in the account with 4.5% simple interest
a+b=25000 ——>a=25000-b

0.03a+0.045b=900
30a+45b=900000
2a+3b=60000

2(25000-b)+3b=60000
50000-2b+3b=60000
B=10000
A=25000-10000=15000
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sveticcg [70]
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6 0
3 years ago
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find x if the distance between points L and M is 15 and point M is located in the first quadrant. L=(-6,2) M=(x,2)​
aivan3 [116]

Answer:

Therefore,

x = 9

Step-by-step explanation:

Given:

Let,  

point L( x₁ , y₁) ≡ ( -6 , 2)

point M( x₂ , y₂ )≡ (x , 2)

l(AB) = 15 units  (distance between points L and M)

To Find:    

x = ?

Solution:  

Distance formula between Two points is given as

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Substituting the values we get

15^{2}=(x--6)^{2}+(2-2)^{2}\\\\225=(x+6)^{2}

Square Rooting we get

(x+6)=\pm \sqrt{225}=\pm 15\\\\x+6 = 15\ or\ x+6 = -15\\\\x= 9\ or\ x = -21

As  point M is located in the first quadrant

x coordinate and y coordinate are positive

So x = -21 DISCARDED

Hence,

x = 9

Therefore,

x = 9

3 0
3 years ago
ABC ~ADEF
Mandarinka [93]

Answer:

36

Step-by-step explanation:

EF = is 1/3 of 15

Since the triangles are similar, then the perimeters are similar.

The perimeter of EDF is 12

The perimeter of ABC should be 3 times as large.

3*12 = 36

The perimeter of ABC = 36

4 0
2 years ago
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Andreyy89

Answer:

4

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First, solve in the brackets,

-3+(-1)

-3-1

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8 0
2 years ago
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In order from left to right:
D, C, A, B
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