MATHEMATICS COLLEGE

What is the present value of a $1,600 payment made in five years when the discount rate is 10 percent?

Answers

Answer 1

Answer:

Present value is $993.47

Step-by-step explanation:

PV = present value

Fv = future value = $1,600

Discount (i) = 10%

N = Years = 5

The formula for this is given by:

PV = FV/(1 + i)^N

PV = $1600/(1 + 0.10)^5

PV = $1600/1.1^5

PV = $1600/1.61051

PV = $993.47

decimal format = 29.25

mixed number = 29 1/4

Improper fraction = 117/4

Step-by-step explanation:

Make the denominators equal after simplifying the denominators*. The denominators are currently 2 and 4. So you can just make your life easier by making the denominator of the first number a 4. Multiply both sides by 2.

1. Simplify

12*2+1 = 25/2

25/2*2/2 = 50/4

2. Simplify second number

16*4+3 = 67/4

3. Add the improper fractions

50/4 + 67/4 = 117/4

Total answer:

29.25 = decimal format

mixed number = 29 1/4

Improper fraction = 117/4

Terms:

*denominators - the bottom number of a fraction

Hope this helped,

Kavitha Banarjee

Blood potassium level, continued. Judy’s measured potassium level varies according to the Normal distribution with with μ=3.8 and σ=0.2mmol/l. Let’s consider what could happen if we took 4 separate measurements from Judy. What is the blood potassium level L such that the probability is only 0.05 that the average of 4 measurements is less than L? (Hint: This requires a backward Normal calculation.)the book says about 3.64 but i got 3.28

Answers

Answer:

The value of l = 3.64

Step-by-step explanation:

Consider the provided information.

μ=3.8 and σ=0.2mmol/l and n=4

As we know $\mu_(\bar x)=\mu=3.8$

$\sigma_(\bar x)=(\sigma)/(√(n))=(0.2)/(√(4))=0.1$

We have given α = 0.05

So by the standard normal table: $Z_(0.05)=-1.645$

Compute $P(\bar{X}<l)=0.05$

$P(z<(l-3.8)/(0.1))=0.05$

$(l-3.8)/(0.1)=-1.645$

$l-3.8=-0.1645$

$l=3.64$

Hence, the value of l = 3.64

7) In 2014, the attendance at Jefferson School's School Festival was 650. In 2015, the attendance was 575. What was the percent change in attendance from 214 to 2015? Round to the nearest tenth. * A 11% B 12% decrease C 13% D 14%

Answers

575/650 = 88% (round down)

100 - 88 = 12%

Letter B

1. What is the width of a piece of paper in meters and millimeters if it is 20 centimeters?2.What is the height of a woman in centimeters and millimeters if it is 1.52 meters?

Answers

Answer:

1. 0.20 m, 200 mm

2. 152 cm, 1520 mm

Step-by-step explanation:

You may be familiar with a place-value chart that names the digits of a number based on their relationship to the decimal point. It might look like ...

(units) . (tenths) (hundredths) (thousandths)

So a number like 0.2 units can be rewritten in terms of hundredths or thousandths like this:

0.200 units = 20.0 hundredths = 200. thousandths

The name that's attached depends on where you put the decimal point.

___

When the units are meters, the corresponding names are ...

(meters) . (decimeters) (centimeters) (millimeters)

1. That is 0.200 meters = 20.0 centimeters = 200. millimeters.

2. 1.520 meters = 152.0 centimeters = 1520. millimeters.

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What is the present value of a $1,600 payment made in five years when the discount rate is 10 percent?

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What is the recursive formula for the given sequence?

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decimal format = 29.25

mixed number = 29 1/4

Improper fraction = 117/4

Total answer:

29.25 = decimal format

mixed number = 29 1/4

Improper fraction = 117/4

Answers

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