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svlad2 [7]
3 years ago
8

Helen Weller invested 10,000 in an account that pays 3% simple interest. how much additional money must be invested in an accoun

t that pays 6% simple interest so that the average return on the two investments amounts to 4%? show work plz
Mathematics
1 answer:
Naddika [18.5K]3 years ago
4 0

Answer:

3% is 300 in intrest

6% is 600 in intrest

4% is 400 in intrest

Step-by-step explanation:

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What is the square root of 144?
Novosadov [1.4K]

Answer:

12

Step-by-step explanation:

12 times 12 is 144

Hope this helps

3 0
3 years ago
A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The
Kobotan [32]

Answer:

One-fifth

Step-by-step explanation:

step 1

Find the distance between the origin and the point B

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

O (0,0) and B(10, –15)

substitute

d=\sqrt{(-15-0)^{2}+(10-0)^{2}}

d=\sqrt{325}\ units

step 2

Find the distance between the origin and the point B'

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

O (0,0) and B'(2,-3)

substitute

d=\sqrt{(-3-0)^{2}+(2-0)^{2}}

d=\sqrt{13}\ units

step 3

Find the scale factor of the dilation

The scale factor is equal to divide the length of segment OB' by the length of segment OB

so

\frac{\sqrt{13}}{\sqrt{325}}=\frac{1}{5}

so

One-fifth

4 0
3 years ago
Read 2 more answers
What is the answer to this problem that I am working on but I can't figure it out and demonstrate to me how it is done 8 1/4 *6
Irina-Kira [14]

Answer:

55

Step-by-step explanation:

make each mixed number an improper fraction:

8 1/4 = 33/4    6 2/3 = 20/3

then multiply these two improper fractions:

660/12

and lastly simplify!!

ANSWER: 55

7 0
4 years ago
Read 2 more answers
Which pyramids with base area B and height h have equal volumes.
Reptile [31]

C and D

the volume ( V) of a pyramid is found using the formula

V = \frac{1}{3} × area of base × height

calculating each of the volumes gives

(A)  V = \frac{1}{3} × 10.5 × 6 = 21 in³

(B)  V = \frac{1}{3} × 3.6 × 8 = 9.6 in³

(C)  V = \frac{1}{3} × 4.2 × 12 = 16,8 in³

(D)  V = \frac{1}{3} × 6 × 8.4 = 16.8 in³

C and D have equal volumes


5 0
3 years ago
If A is at (7,-1) and B is at (2,1), what are the coordinates of point C
Pie

Answer:

45

Step-by-step explanation:

6 0
3 years ago
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