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Nat2105 [25]
3 years ago
12

the distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter reprecents 20 kilometers

. what is the actual distance between these two cities in kilometers?
Mathematics
1 answer:
Georgia [21]3 years ago
8 0

Answer:

70 kilometers

Step-by-step explanation:

Set up a proportion where x is the actual distance

\frac{1}{20} = \frac{3.5}{x}

Cross multiply:

x = (20)(3.5)

x = 70

So, the actual distance is 70 km

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Step-by-step explanation:

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There are 45 employees who each put in 97 hours on a project. What are the total number of hours worked on the project?
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A Microgates Industries bond has a 10 percent coupon rate and a $1,000 face value. Interest is paid semiannually, and the bond h
Usimov [2.4K]

Answer:

a. $849.45

Step-by-step explanation:

In the above question, we are given the following information

Coupon rate = 10%

Face value = 1000

Maturity = n = 20 years

t = number of periods = compounded semi annually = 2

Percent yield = 12% = 0.12

Bond Value formula =

C/t × ([1 -( 1/ 1 + r/t)-^nt ÷] r/t) +( F/ (1 + r/t)^nt)

C = coupon rate × face value = 10% × 1000 = 100

Bond value:

= 100/2 × ( [1 - (1 /1 + 0.12/2)^-20×2]÷ 0.12/2)+ (1000/( 1 + 0.12/2)^20×2

= 50 × ( [1 - (1 /1 + 0.06) ^40] ÷ 0.06) + ( 1000/ (1 + 0.06) ^40

= 50 × ( [1 - (1/ (1.06) ^40] ÷ 0.06 ) + (1000/(1.06)^40)

= 50 × 15.046296872 + 97.222187709

= $849.45

Bond value = $849.45

8 0
3 years ago
Which ratios have a unit rate less than 1? choose all that apply.
DaniilM [7]

Answer:

2apply.

Step-by-step explanation:

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