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Lesechka [4]
4 years ago
10

A total of $8,000 is deposited in two simple interest accounts. In one account, the annual simple interest rate is 5%, and on th

e second account, the annual simple interest rate is 6%. How much should be invested in each account so that the total annual interest earned is $450?
Mathematics
1 answer:
Elena-2011 [213]4 years ago
5 0
You need to invest $3000 at the 5% interest rate and invest $5000 the 6% interest rate to get a total annual interest of $450
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What is the y-coordinate of the point that divides the directed
e-lub [12.9K]

Answer:

(D)5

Step-by-step explanation:

Given the point J(-3,1) and K(8,11).

The line segment that divides the segment from J to K in any given ratio can be determined using the formula.

P(x,y)=\left(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n}\right)

In the given case:

(x_1,y_1)=(-3,1), (x_2,y_2)=(8,11), m:n=2:3

Since we are to determine the y-coordinate of the point that divides JK into a ratio of 2:3, we have:

\dfrac{my_2+ny_1}{m+n}=\dfrac{2*11+3*1}{3+2}\\\\=\dfrac{22+3}{5}\\\\=\dfrac{25}{5}\\\\=5

The y-coordinate of the point that divides the directed  line segment from J to K into a ratio of 2:3 is 5.

The correct option is D.

3 0
3 years ago
Based on the diagram below, BC = 12 and m
Mama L [17]

Answer:


Step-by-step explanation:

tan (40) = x/12

x = 12*tan(40)

6 0
4 years ago
Solve the inequality and give an answer in interval notation:<br> 4-x&gt; 6
Ainat [17]

take it step by  step

7 0
3 years ago
5.9. 13....<br> Find the 31st term.
morpeh [17]

Answer:

129

Step-by-step explanation:

None

4 0
3 years ago
Aicha has 36 dress. She completes 1/2 of the dresses in 3/4 of an hour.If she continues at this rate what fraction of the dresse
nydimaria [60]

Answer:

2/3

Step-by-step explanation:

1/2 dresses = 36x1/2 = 18

18 dresses in 3/4 hr. ==> 1/4hr ==> 18/3 = 6

1hr ==> 6x4 = 24

fraction = 24/36 = 2/3

3 0
3 years ago
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