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2 years ago

I am greater than 54 fewer tens than 90?

1 answer:

6 0

In all cases, we will let x represent the number.
1) 54 tens = 540
90 - 540 = -450
x > -450

2) x < 36 and x > 24
24 < x < 36

3) 8 tens and 5 ones = 80 + 5 = 85
x > 85

4) x > 27
x < 33
And the value in the ones place is less than the value in the tens place, so
30 ≤ x ≤ 32

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If $1000 is invested at 8% interest, compounded annually, then after n years the investment is worthan = 1000(1.08)ndollars.(a)

Luba_88 [7]

Answer:

Diverge

Step-by-step explanation:

(a)

1st year: $1000 * 1.08^1 = \$1080$

2nd year: $1000 * 1.08^2 = \$1166.4$

3rd year: $1000 * 1.08^3 = \$1259.71$

4th year: $1000 * 1.08^4 = \$1360.49$

5th year: $1000 * 1.08^5 = \$1469.33$

(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:

$(1000*1.08^n)^{'} = 1000ln(n)*1.08^n$

This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule

$(1000ln(n)*1.08^n)^{'} = 1000\frac{ln(n)}{n}1.08^n$

This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.

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3 years ago

F. -10x >45<br> Solve the two step inequality

Daniel [21]

Answer:

x < -4.5

Step-by-step explanation:

<u>Step 1: Solve for x</u>

-10x / -10 > 45 / -10

When dividing or multiplying by a negative, the sign flips.

x < -4.5

Answer: x < -4.5

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3 years ago

The product of two numbers is 342. if one number is 18, what is the other number.

padilas [110]

Answer:

Step-by-step explanation:

product is the answer of multiplying two numbers together

342/18=19

check

19x18=342

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2 years ago

2x^2 / x^2 - y^2 - x^2 / xy - y ^ 2

Juliette [100K]

Answer:

2 - 2y^2 - x/y

Step-by-step explanation:

2x^2/x^2 = 2

and

x^2/xy = x/y

therefore

2x^2/x^2 - y^2 - x^2/xy - y^2

= 2 - y^2 - x/y - y^2

= 2 - y^2 - y^2 - x/y

= 2 - 2y^2 - x/y

6 0

2 years ago

Willis has noticed that when time has been one of the variables analyzed by a scatterplot he has looked at, it has always been t

damaskus [11]

It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.

Option C is the right answer.

The missing graph has been attached with the answer.

<h3>What is a Scatter Plot ?</h3>

These are Cartesian Points and it represents relationship between two variables.

It is given that

Will's Hypothesis is time can never be a dependent variable.

Although from the graph plotted it can be seen that the time is dependent on distance travelled and

the in a scatter plot , the dependent variable is plotted on y axis and here the time is plotted on y axis ,

therefore the scatter plot invalidate Willis’s hypothesis.

It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.

Option C is the right answer.

To know more about Scatter Plot

brainly.com/question/13984412

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1 year ago