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Anna71 [15]
3 years ago
11

The purchasing power P of a fixed income of $20000 per year (such as a pension) after t years of 7% inflation can be modeled by

Mathematics
1 answer:
Oxana [17]3 years ago
7 0

After 5 years: 107,000

After 20 years: 428,000

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A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou
gogolik [260]

Answer: In degrees , The measure of \theta=65.5^{\circ}

In radians , the measure of  \theta =\dfrac{8}{7}\text{ radians}.

Step-by-step explanation:

We know that the formula for length of arc is given by :-

l=\theta r

, where \theta = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l=  8 m

Substitute these values in the above formula , we get

8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}

Hence, the measure of \theta =\dfrac{8}{7}\text{ radians}.

To convert it into degrees we multiply it with \dfrac{180^{\circ}}{\pi}

The measure of \theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}

=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}

\approx65.5^{\circ}

Hence, the measure of \theta=65.5^{\circ}

8 0
3 years ago
Divide the following quantiles in the given ratio £100 1:3 £80 3:5 £250 2:3:5
goblinko [34]

Answer:

Step-by-step explanation:

a.

£100

1:3

1+3=4

1/4×£100

=£25

3/4×£100

=£75

b.

£80

3:5

3+5=8

3/8×£80

=£30

5/8×£80

=£50

C.

£250

2:3:5

2+3+5=10

2/10×£250

=£50

3/10×£250

=£75

5/10×£250

=£125

6 0
3 years ago
In Oo, mCA= 100 and ABCD.<br> What is mBD?<br> mBD
Alenkinab [10]

Answer:

arc BD = 100

Step-by-step explanation:

arc BD = arc CA because ∠AOC = ∠BOD (vertical angles)

arc BD = 100

4 0
3 years ago
Which number line shows the solution to 2/3x - 5 &gt; 3
NNADVOKAT [17]

Answer:

3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Mia can run at a rate of 360 feet per minute. Approximately how many minutes would she take to run a 500-yard stretch of road an
tankabanditka [31]

Step-by-step explanation:

since we know, she can run 360 ft per minute, and we want to know how many minutes she would need to run 500 yards we need to find out how often 360 ft fit into 500 yards.

so,

500 yards / 360 ft

how can we make this division ?

help is given to us by taking us that 1 yard = 3 ft.

aha !

so, 500 yards = 500×3 ft = 1500 ft

therefore, our task now looks like

1500 ft / 360 ft

and this we understand and can do, right ?

1500 / 360 = 150/36 = 75/18 = 4 3/18 = 4 1/6 minutes

the closest answer option is therefore 4.2, meaning she would take about 4.2 minutes to run 500 yards.

7 0
2 years ago
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