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Alborosie
2 years ago
10

Factor the polynomial completely. 14a^4 b^2 - 21a^3 b^2

Mathematics
1 answer:
Gnom [1K]2 years ago
8 0

Answer: b^{2}(1-21a^{3})

Step-by-step explanation:

b^{2} - 21a^{3} b^{2} \\b^{2}(1-21a^{3})

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Compute the exact interest on $5,870 at 12% if the money is borrowed from June to December of the same year.
yawa3891 [41]

Answer:

The exact interest on $5,870 at 12% is $410.9

Step-by-step explanation:

From the information provided we know that

Principal amount: $5,870

Interest rate: 12% -> 0.12

Time: 7 months (From June to December)

When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula:

I=P\cdot r\cdot t

where P is principal, r is the rate of interest and t is the time in years.

We need to convert the 7 months into 1 year.

7 \>months \cdot \frac{1 year}{12 months} = \frac{7}{12} year

Now we can use the above formula

I=P\cdot r\cdot t=5870\cdot 0.12 \cdot \frac{7}{12} \\I = 0.12\cdot \frac{7\cdot \:5870}{12}\\I = 0.12\cdot \frac{20545}{6}\\I = \frac{2465.4}{6}\\I = 410.9

Therefore the exact interest on $5,870 at 12% is $410.9

7 0
3 years ago
PLEASE HELP
Veseljchak [2.6K]

Answer:

Step-by-step explanation:

intersection = { } no common elements.

union = { b,d,f,a,c,k}

6 0
3 years ago
15y+31=61 how do I solve this
Setler79 [48]
15y + 31 = 61
15y = 61 - 31
15y = 30
y = 30 ÷ 15
<u>y = 2</u>
6 0
3 years ago
What is the scale factor for pre-image IJKH to image MNOL?
solniwko [45]

Answer:

Step-by-step explanation:

Given are two rectangles MNOL and IJKH

MNOL is the image and IJKH is the preimage.

OBviously similarity is preserved between these.

Hence sides will be proportional

i.e. l1/l2 = w1/w2 = Scale factor k

This can also be written as

Scale factor square = k^2=\sqrt{ \frac{areaI}{area2} }

Scale factor = square root of ratio of rectangle areas

Find ratio as

\frac{375}{135} =\frac{25}{9}

k = Scale factor = square root of the above fraction

=\frac{5}{3}

5 0
4 years ago
Please needed as soon as possible thank you
stich3 [128]

Answer:

43. = \frac{.0045}{100}

44. 4\frac{9}{10}

45. 8

Step-by-step explanation:

43. 0.45% = .0045

      = \frac{.0045}{100}

44. \frac{1}{2} • 9\frac{4}{5}

    = 4\frac{9}{10}

45. VIII = 8

3 0
3 years ago
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