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kolezko [41]
4 years ago
15

How can $54,000 be invested part at 8% annual simple Interest and the remainder at 10% annual simple interest so that the intere

st earned by the two accounts will be equal
Mathematics
1 answer:
Nastasia [14]4 years ago
3 0

Answer:

0.08x = $5400-0.1x Add 0.1x to both sides of the equation.

0.18x = $5400 Divide both sides by 0.18

x = $3000 and $54000-$3000 = $24000

$3,000 is invested at 8%

$2,400 is invested at 10%

Step-by-step explanation:

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Bradley and Kelly are out flying kites at a park one afternoon. A model of Bradley and Kelly's kites are shown below on the coor
Alex787 [66]

The correct answer is:

C. They are similar because the corresponding sides of kites KELY and BRAD all have the relationship 2:1.

Using the distance formula,

d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

the lengths of the sides of BRAD are:

\text{BR}=\sqrt{(7-6)^2+(3-4)^2}=\sqrt{1^2+(-1)^2}=\sqrt{1+1}=\sqrt{2}\\\\\text{RA}=\sqrt{(6-3)^2+(4-3)^2}=\sqrt{3^2+1^2}=\sqrt{9+1}=\sqrt{10}\\\\\text{AD}=\sqrt{(3-6)^2+(3-2)^2}=\sqrt{(-3)^2+1^2}=\sqrt{9+1}=\sqrt{10}\\\\\text{DB}=\sqrt{(6-7)^2+(2-3)^2}=\sqrt{(-1)^2+(-1)^2}=\sqrt{1+1}=\sqrt{2}

The lengths of the sides of KELY are:

\text{KE}=\sqrt{(2-0)^2+(11-9)^2}=\sqrt{2^2+2^2}=\sqrt{4+4}=\sqrt{8}=2\sqrt{2}\\\\\text{EL}=\sqrt{(0-2)^2+(9-3)^2}=\sqrt{(-2)^2+6^2}=\sqrt{40}=2\sqrt{10}\\\\\text{LY}=\sqrt{(2-4)^2+(3-9)^2}=\sqrt{(-2)^2+(-6)^2}=\sqrt{40}=2\sqrt{10}\\\\\text{YK}=\sqrt{(4-2)^2+(9-11)^2}=\sqrt{2^2+(-2)^2}=\sqrt{8}=2\sqrt{2}

Each side of KELY is twice the length of the corresponding side on BRAD.  This makes the ratio of the sides 2:1 and the figures are similar.

8 0
3 years ago
Read 2 more answers
What number is 7 units to the left of -1?<br><br> 8<br> 6<br> -8<br> -6
Viefleur [7K]

Answer:

7 <u>units to the left is -6 </u>

Step-by-step explanation:

your counting back wards but its not a neg. its positive so the answer is 6

4 0
3 years ago
9 (m+5)-3(m-2)=8m+31<br> PLS SHOW WORK
LenaWriter [7]

Answer:

9 (m+5)-3(m-2)=8m+31

9m+45 - (3m + 6)= 8m+31

9m+45-3m-6=8m+31

45-6+31=8m-9m+3m

70=2m

m=70/2

Therefore m = 35

Hope u understood.............

5 0
3 years ago
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Calculate the value of each of the following 1/3+2/9​
babunello [35]

Answer:

\frac{1}{3}  +  \frac{2}{9}  \\  =  \frac{3}{3}  \times  \frac{1}{3}  +  \frac{2}{9}  \\  =  \frac{3}{9}  +  \frac{2}{9}  \\  =  \frac{5}{9}  \\ thank \: you

7 0
3 years ago
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In a random poll taken in 2008, Gallup asked 1006 national adults whether they were baseball fans. 433 of the sample said they w
nexus9112 [7]

Answer:

Step-by-step explanation:

i don't know

6 0
4 years ago
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