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3 years ago

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Mathematics

1 answer:

Step2247 [10]3 years ago

8 0

Answer:

reflected over the x-axis, compressed horizontally by a factor of 1/2.

Step-by-step explanation:

y(x) and f(x) means the same.

y = -(2x) means that y(x) was multiplied by -1, and x was replaced by 2x

-y(x) reflects y(x) across x-axis

y(a*x) compresses horizontally y(x) by a factor of 1/a. Here, a is 2, then the factor is 1/2.

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3 years ago

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Y - 8 = -10 How do I verify the solution ?

prisoha [69]

Answer:

y = -2

Step-by-step explanation:

SOLUTION :-

Solve the equation.

Add 8 to both sides in order to isolate the equation.

$=> y - 8 + 8 = -10 + 8$

$=> y = -2$

∴ y = -2

VERIFICATION :-

To verify the solution of y , just put the solution (y = -2) in place of y in equation and check whether L.H.S = R.H.S.

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3 years ago

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Zina [86]

Answer:

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Step-by-step explanation:

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how much money will you have in 10 years if you invest $12,000 at a 3.3% annual rate of interest compounded quarterly?

Andrej [43]

Answer:

The amount is $16718.7 and the interest is $4718.7.

Step-by-step explanation:

STEP 1: To find amount we use formula:

A=P(1+rn)n⋅t

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

In this example we have

P=$12000 , r=3.33% , n=4 and t=10 years

After plugging the given information we have

AAAA=12000(1+0.03334)4⋅10=12000⋅1.00832540=12000⋅1.393225=16718.7

STEP 2: To find interest we use formula A=P+I, since A=16718.7 and P = 12000 we have:

A16718.7II=P+I=12000+I=16718.7−12000=4718.7

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