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2 years ago

11

I need help with the first one only just so I can understand the rest of them

1 answer:

Grace [21]2 years ago

6 0

Answer:

7^3 x 1/16^9.

Step-by-step explanation:

Write using positive exponents.

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Find the first term, a1, of an arithmetic sequence if a12 = 38 and a45 = 170.

snow_lady [41]

Standard formula for arithmetic sequence:
an = a0 + d(n-1)

if we use the two terms given, setting a12 as starting term and a45 as the end term an.

170 = 38 + 33d
170 - 38 = 33d
132 = 33d

132/33 = d
This is the common difference, use it to find the first term.

38 = a0 + (132/33)(12-1)
38 = a0 + (132/33)(11)
38 = a0 + 132/3
38 - 132/3 = a0
38 - 44 = a0
-6 = a0

The starting term is -6

8 0

3 years ago

How much interest will Sara pay if she borrows:<br> $1,400 at 4% for 60 months.

navik [9.2K]

Answer:

Sara will have a 3,360 interest fee.

Step-by-step explanation:

4% of 1,400 is 56. 56 X 60 = 3,360

8 0

3 years ago

HELPPP PLASSSS BRAINLIEST

Svetach [21]

Answer:

5

Step-by-step explanation:

If the parallelogram is being rotated the side length will stay the same as it is in the current state.

6 0

2 years ago

Find the sum of the measures of the angles of each polygon

Sonja [21]

1080 degrees because it is an octagon

6 0

2 years ago

A, B and C lie on a straight line segment.A, E and D lie on a straight line segment.BE = 1.8m, CD = 9m and BC = 1.7m.Work out th

katrin2010 [14]

The relationship between the points is an illustration of similar shapes.

The length of AB is 0.43

The given parameters are:

$\mathbf{BE = 1.8}$

$\mathbf{CD = 9}$

$\mathbf{BC = 1.7}$

From the question (see attachment), we have the following observations:

BE corresponds to CD
AB corresponds to AC

So, the equivalent ratio is:

$\mathbf{AB:BE =AC:CD }$

Substitute known values

$\mathbf{AB:1.8 =AC:9 }$

Express as fractions

$\mathbf{\frac{AB}{1.8} =\frac{AC}{9} }$

Multiply both sides by 1.8

$\mathbf{AB =\frac{AC}{5} }$

<em>AC = AB + BC</em>

So, we have:

$\mathbf{AB =\frac{AB + BC}{5} }$

Substitute 1.7 for BC

$\mathbf{AB =\frac{AB + 1.7}{5} }$

Multiply through by 5

$\mathbf{5AB =AB + 1.7}$

Collect like terms

$\mathbf{5AB -AB =1.7}$

$\mathbf{4AB =1.7}$

Divide both sides by 4

$\mathbf{AB=0.425}$

Approximate

$\mathbf{AB=0.43}$

Hence, the length of AB is 0.43

Read more about similar shapes at:

brainly.com/question/20536565

7 0

2 years ago