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AlekseyPX
3 years ago
7

The crime rate of a certain city is increasing by exactly 2 % 2 % each year. If there were 450 450 crimes in the year 1990 and t

he crime rate remains constant each year, determine the approximate number of crimes in the year 2017 2017 .
Mathematics
1 answer:
Lemur [1.5K]3 years ago
8 0

Answer:

768 crimes

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

y=a(1+r)^x

where

y ----> is the number of crimes

x ---->  is the number of years since 1990

r is the rate of chance

a is the initial value

we have

a=450\ crimes\\r=2\%=2/100=0.02

substitute

y=450(1+0.02)^x

y=450(1.02)^x

Determine the approximate number of crimes in the year 2017

Find the value of x

x=2017-1990=27\ years

substitute the value of x

y=450(1.02)^{27}=768\ crimes

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1 inch = 2.54cm 1 mile = 1.6km a map has a scale of 1 inch represents 1 mile use the given conversions to show that 1cm on the m
lara31 [8.8K]
Note: 1 inch = 2.54 cm is an exact converion, while 1 mile=1.6km is only approximate.

Using conversion
1 inch=2.54 cm
1 mile = 1760*3*12 = 63360 in = 160934.4 cm 
If 1 inch = 1 mile, then 
2.54 cm : 1 mile = 1.609344 km
1 cm : 0.6336 km   (exactly), or
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Using both conversions:
1 inch = 2.54 cm : 1 mile = 1.6 km
=>
2.54 cm : 1.6 km
1 cm : 1.6/2.54=0.6299 km (approximately), or
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8 0
3 years ago
Someone plz help me I will give brainliest
Otrada [13]

Answer:

800

Step-by-step explanation:

First do 20x20 (20 lines x 20 words per line) to get 400

Then multiply 400 by 2 (400 times both pages) to get 800 which is how many words Claire's report should be.

4 0
3 years ago
Read 2 more answers
Help pls i am being timed on a quiz
Dahasolnce [82]

In analyzing the given diagram which is a combination of two right angle triangle, the value of sin∠L is 5/13.

<h3>What is the value of sin∠L?</h3>

Given that angle ONM is a right angled triangle, we can find length of OM using the Pythagorean theorem.

c = √( a² + b² )

OM = √( 4² + 3² )

OM = √( 16 + 9 )

OM = √25

OM = 5

Next, angle OML is also a right angled triangle, we can get the hypotenuse LO.

c = √( a² + b² )

LO = √( OM² + ML² )

LO = √( 5² + 12² )

LO = √( 25 + 144 )

LO = √169

LO = 13

Now, to get sin∠L, we use the mnemonic: SOHCAHTOA

sinθ = opposite / hypotenuse

sin∠L = OM / LO

sin∠L = 5/13

Therefore, in analyzing the given diagram which is a combination of two right angle triangle, the value of sin∠L is 5/13.

Learn more about Pythagorean theorem here: brainly.com/question/343682

#SPJ1

5 0
2 years ago
Which of the following represents the most accurate estimation of 719 - 348?
irina [24]
It is 400  hope this helps

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3 years ago
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Complete the table below to find solutions to the linear equation y=5x−5.
kifflom [539]
(0,-5)(1,0)(2,5)(3,10)(4,15)
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