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3 years ago

Nancy had an income of $26,500 this year. If the inflation rate was 11 percent, what was her purchasing power?

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

5 0

.89($26,500)=$23,585. we are using .89 because that is what 1-.11 equals.

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Simplify the surd 3√ 20 +√ 45

melisa1 [442]

Answer:

9 $\sqrt{5}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplify the radicals

$\sqrt{20}$

= $\sqrt{4(5)}$

= $\sqrt{4}$ × $\sqrt{5}$

= 2 $\sqrt{5}$

$\sqrt{45}$

= $\sqrt{9(5)}$

= $\sqrt{9}$ × $\sqrt{5}$

= 3 $\sqrt{5}$

Then

3 $\sqrt{20}$ + $\sqrt{45}$

= 3(2 $\sqrt{5}$ ) + 3 $\sqrt{5}$

= 6 $\sqrt{5}$ + 3 $\sqrt{5}$

= 9 $\sqrt{5}$

3 0

2 years ago

Read 2 more answers

Write 5 equivalent fractions for each fraction. 1/2, 1/4, 1/8, 1/3, 1/6

agasfer [191]

Equivalent Fractions 1/2

2/4

3/6

4/8

5/10

6/12

Equivalent Fractions 1/4

2/8

3/12

4/16

5/20

6/24

Equivalent Fractions 1/8

2/16

3/24

4/32

5/40

6/48

Equivalent Fractions 1/3

2/6

3/9

4/12

5/15

6/18

Equivalent Fractions 1/6

2/12

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6 0

2 years ago

Please help. I don't understand this.

klio [65]

Answer:

radius=6

Step-by-step explanation:

arc ACB=6xPi

Pi=3.14159

arc ACB=18.85 (rounded to 2 places)

ACB is a half circle so a full circle would be 18.85x2 or 37.7

circumference (whole circle)=2 x Pi x radius

37.7=2 x 3.14159 x radius

radius= 37.7/(2 x 3.14159)

radius=6

7 0

3 years ago

The measures of two angles of a triangle are 23 degrees,and 67 degrees.is the triangle acute,right,or obtuse?

Margaret [11]

Trick question — it’s a right triangle. Here’s why:
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7 0

2 years ago

An activity has an optimistic time estimate of 25 days, a most likely estimate of 29 days, and a pessimistic estimate of 34 days

Margaret [11]

The expected duration of the activity is 29 days and 4 hours.

Step-by-step explanation:

Step 1:

The optimistic time, $t_{o}$ = 25 days,

The most likely estimate, $t_{m}$ = 29 days.

The pessimistic time, $t_{p}$ = 34 days.

According to PERT, the expected duration of the activity, $t_{e} = \frac{t_{0}+4t_{m} +t_{p} }{6}.$

Step 2:

By substituting the given values, we get $t_{e} = \frac{t_{0}+4t_{m} +t_{p} }{6} = t_{e} = \frac{25+4(29) +34 }{6} = \frac{175}{6} = 29.1666.$

0.1666 days = $0.1666 (24) = 3.9999 hours.$

29.1666 days approximately equal 29 days and 4 hours.

8 0

3 years ago