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mel-nik [20]
3 years ago
10

What is the solution to the inequality 15y-9<36

Mathematics
1 answer:
artcher [175]3 years ago
6 0

Answer:

\boxed{y

Step-by-step explanation:

15y - 9 < 36               <em>add 9 to both sides</em>

15y < 45                <em>divide both sides by 15</em>

y < 3

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Help on this one as well ii manged to get an answer but If you understand it or im wrong an you please explain ! thank you !!
AnnZ [28]
Almost got it!

x + 3 = 3(y + 2)/2 [Multiplied both sides by 3]
so x + 3 = (3y + 6)/2
2(x + 3) = 3y + 6 [Multiplied both sides by 2]
2x + 6 = 3y + 6
2x = 3y [Subtracted 6 from both sides]
x = 3y/2 [Divided both sides by 2]
x/3 = y/2 [Divided both sides by 3]

So you wrote y/3 instead of y/2 
Hope this helped!
8 0
3 years ago
Read 2 more answers
c) If an initial investment of $ 35,000 grows to $257,000 in 15 years, what annual interest rate, continuously compounded, was e
castortr0y [4]

Answer: 13.29%

Step-by-step explanation:

The formula to calculate the compound amount (compounded continuously) is given by :-

A=Pe^{rt}, where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.

Given : P= $ 35,000 , A=  $257,000 and t=15 years

To find : r , we substitute all the values in the above formula , we get

257000=(35000)e^{15r}\\\\\Rightarrow\ e^{15r}=\dfrac{257000}{35000}\\\\\Rightarrow\ e^{15r}=7.3428

Taking natural log on both the sides , we get

15r=\ln(7.3428)\\\\\Rightarrow\ 15r=1.9937\\\\\Rightarrow\ r=\dfrac{1.9937}{15}0.132913333333\approx0.1329=13.29\%

Hence, the annual interest rate = 13.29%

6 0
3 years ago
The structure of a two-factor study can be presented as a matrix with the levels of one factor determining the rows and the leve
slega [8]

Answer:

Following are the solution to this question:

Step-by-step explanation:

It provides three different hypotheses in such a two-factor ANOVA:  

In point A:

H o: With all factor A levels, the ways are equivalent  

Ha: A least another element A level does have a transfer to another

In point B:

Ha: The least one Factor A the level does have a transfer to another

H o: With all Factor B levels the results are about the same.

In point C:

Ha: At most one Variable B level does have a transfer than any other level.

H o: There are no interactions among the factors

Ha: The interactions of factors are important

When ANOVA is executed, they get three p-sets (one for all 3 hypotheses)

(a) If Variable A's p-value is much less alpha, we will reject the null and embrace Ha and infer that Factor A is important. Anything else, H o also isn't rejected and that there is no evidence which Factor A is important

(b) If p- is < alpha, otherwise we reject The null, accept Ha, and infer which Factor B is relevant. Factor B is significant. Conversely, we may not condemn H o but claim there isn't enough proof which Factor B is important

(c)

If they reject H o and agree to the point p- for the A x B interaction is a < alpha Ha, and conclude that the interaction from A to B is important. So, perhaps we can deny H o and claim, that neither proof of interactions is sufficient From A to B.

8 0
3 years ago
The product of 6 and 2 added to the quotient of 9 and 3
Firdavs [7]

Answer:

15

Step-by-step explanation:

Follow pemdas and multiply 6 and 2, then divide 9 and 3, finally, add the two together to get 15

6×2+9÷3

12+9÷3

12+3

=15

8 0
2 years ago
Read 2 more answers
Which equation describes a line parallel<br> to y= 4x+ 5 through point (-2, 1)?
Tema [17]

Hi there!

For a line to be PARALLEL, it must contain the same slope.

The given line has a slope of 4, so we can use the point-slope formula to solve:

\large\boxed{y - y_1 = m(x - x_1)}

y1 = y-coordinate of given point

x1 = x-coordinate of given point

m = slope

Plug in the values:

y - 1 = 4(x - (-2))\\\\y - 1 = 4(x + 2)

Simplify:

y - 1 = 4x + 8\\\\\boxed{y = 4x + 9}

8 0
2 years ago
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