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kumpel [21]
3 years ago
6

If y=8 when x=3 when x=45

Mathematics
1 answer:
Veronika [31]3 years ago
5 0

Answer:

The value of y for x = 45 is 120 .

Step-by-step explanation:

Given as :

Let The variables y and x are proportional to each others

I,e y ∝ x

Now , y = k x

So, for x = 3  ,  y = 8

I.e  8 = k × 3           ........1

∴  k = \frac{8}{3}

<u>Similarly </u>

for x = 45 , y = k × 3

I.e y = k × 45        ..........2

Now, putting the value of k  in eq 2

So,  y =  \frac{8}{3} × 45

I.e y = \frac{8\times 45}{3}

Or, y = 8 × 15

∴    y = 120

So, for x = 45 , y = 120

Hence The value of y for x = 45 is 120 . Answer

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7100 dollars is placed in an account with an annual interest rate of 5%. To the nearest tenth of a year, how long will it take f
kow [346]

Answer:

After 26.91\ years the principle amount value will reach to 26400\ dollars.

Step-by-step explanation:

Given that,

                 Principle Amount (P)= 7100\ dollars

                 Rate of Interest (R)= 5%

                 Total Amount (A)= 26400\ dollars

If Principle Amount (P) =P\ dollars, Time =t\ years, Rate of Interest =R% pa

when interest is compounded annually:

Total Amount after t\ years = P(1+\frac{R}{100}) ^{t}

Now,

         A= P(1+\frac{R}{100}) ^{t}

     ⇒ 26400=7100(1+\frac{5}{100}) ^{t}

     ⇒ 3.7183=(1+0.05)^{t}

     ⇒ 3.7183=(1.05)^{t}

taking log both sides, we get

         ln(3.7183)=ln {(1.05)^{t}}

     ⇒ 1.31327=t\times ln(1.05)

     ⇒ 1.31327=t\times 0.04879

    ⇒ t=26.91

Therefore,

After 26.91\ years the principle amount value will reach to 26400\ dollars.

6 0
4 years ago
Read 2 more answers
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Leviafan [203]

Answer: Either Rohmbus or Parallelogram...

Step-by-step explanation: Your picture is a bit small, sry

6 0
2 years ago
Help pls also an answer ​
Schach [20]

84.5-19.7= 67.8

67.8÷6= 11.3

11.3 yards per curtain

4 0
3 years ago
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Find three consecutive even integers such that the sum of the smallest and the largest is 36
Elodia [21]

Answer:

Step-by-step explanation: largest=2x+4

their sum =2x+2x+4=36

4x=36-4=32

x=32/4=8

so the numbers are 2*8,2*8+2,2*8+4

that is 16,18,20

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3 years ago
A survey asks a random sample of 2500 adults in California if they support an increase in the state sales tax from 7.50% to 7.75
Nadusha1986 [10]

Answer:

E(Y) = 750

Step-by-step explanation:

Given

Sample Size = 2500

Percentage = 30%

Required

Calculate Mean of Y

Mean or Expected Value is calculated as thus;

E(Y) = np

Where E(Y) represents the mean

n represents the sample size (or population)

p represents the success probability

n = 2500 ; p = 30%%

p = \frac{30}{100} = 0.3

So,

E(Y) = 2500 * 0.3

E(Y) = 750

Hence, the mean value of Y is 750

3 0
3 years ago
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