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irga5000 [103]
3 years ago
11

The perimeter of UVW is 22 2/1. And VZ = 2 1/2. Find UW and VW.

Mathematics
2 answers:
Cerrena [4.2K]3 years ago
4 0
UW and VW are the same so 9
22.5-4.5= 18 then divide the 18 by 2 so 9
shusha [124]3 years ago
4 0

Answer:

UW = 8        VW =10

Step-by-step explanation:

22 2/1 - 4.5 = 18

2 multiplier by the ratio = UW

2.5 multiplied by the rario = VW

ratio=x

2x+2.5x=18

4.5x=18

x=4

RATIO=4

2*4=8  (UW)

2.5*4=10 (VW)

8+10+2+2.5 = 22.5

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kozerog [31]
The present value (PV) of a loan for n years at r% compounded t times a year where there is equal P periodic payments is given by:

PV=P\left( \frac{1-\left(1+ \frac{r}{t} \left)^{-nt}}{ \frac{r}{t} } \right)

Given that <span>Beth is taking out a loan of PV = $50,000 to purchase a new home for n = 25 years at an interest rate of r = 14.25%. Since she is making the payment monthly, t = 12.

Her monthly payment is given by:

50,000=P\left( \frac{1-\left(1+ \frac{0.1425}{12} \right)^{-25\times12}}{ \frac{0.1425}{12} } \right) \\  \\ =P\left( \frac{1-(1+0.011875)^{-300}}{ 0.011875 } \right)=P\left( \frac{1-(1.011875)^{-300}}{ 0.011875 } \right) \\  \\ =P\left( \frac{1-0.028969}{ 0.011875 } \right)=P\left( \frac{0.971031}{ 0.011875 } \right)=81.770994P \\  \\  \therefore P= \frac{50,000}{81.770994} =\$611.46

Therefore, her monthly payment is about $611.50
</span>
3 0
3 years ago
The population of rabbits on an island is growing exponentially. In the year 1991, the population of rabbits was 9100, and by 19
lisabon 2012 [21]

Answer:

39,223\ rabbits

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

y=a(1+r)^x

where

y is the population of rabbits

x is the number of years since 1991

a is the initial value

r is the rate of change

we have

a=9,100

substitute

y=9,100(1+r)^x

For the year 1998

the number of years is equal to

x=1998-1991=7 years

so

we have the ordered pair (7,18,000)

substitute in the exponential equation and solve for r

18,000=9,100(1+r)^7

(18,000/9,100)=(1+r)^7

elevated both sides to 1/7

(1+r)=1.1023

r=0.1023

therefore

y=9,100(1+0.1023)^x

y=9,100(1.1023)^x

Predict the population of rabbits in the year 2006

Find the value of x

x=2006-1991=15 years

substitute the value of x in the equation

y=9,100(1.1023)^{15}

y=39,223\ rabbits

6 0
3 years ago
sallys cup cake shop sold a total of 63 cupcakes yesterday and 32 of those had sprinkles how many cupcakes were sold without spr
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Answer:

31

Step-by-step explanation:

63-32=31

3 0
3 years ago
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77julia77 [94]

Answer: 64,000

Equation: 2,000*2^(45/9)

4 0
3 years ago
What is the metric system
Anettt [7]

Answer:

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Step-by-step explanation:

7 0
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