John is going to invest $820 and leave it in an account for 19 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest tenth of a percent, would be required in order for John to end up with $1,830?

Answers

Answer 1
Answer: John would need an interest rate of 7.6% in order to end up with $1,830 after 19 years of investing $820 compounded quarterly

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Which sentence can represent the inequality x+2254?.

Answers

Answer:

A

Step-by-step explanation:

It is inclusive.

The sum of half a number and three-fourths is at least five and one quarter.

Organize the following polynomial expressions from least to greatest based on their degree:I x + 2xyz
II 3x + y + z
III 2x3y + y2x - 3x + 4
IV 9x3yz

A II, III, I, IV

B III, I, IV, II

C I, II, IV, III

D II, I, III, IV

Answers

The degree of a polynomial is equal to the highest sum of the variables among the terms. In I, degree is equal to 3, II is equal to 1, II is equal to 4, and IV is equal to 5. Hence, the order from least to greatest then, the order is II, I, III and IV. Answer is A>

Answer: 2134

Step-by-step explanation:

10 to the third power in numerical expression

Answers

Answer:

10³ = 10 * 10 * 10 = 1000

Answer:

1,000

Step-by-step explanation:

Which of the following points does not lie on the graph of y = log3x?(0, 1)
(27, 3)
(1, 0)

Answers

Answer:

(0,1) doesn't lie on the graph.

Step-by-step explanation:

We have been given the logarithmic equation y=\log_3(x)

We can check which point lie on the graph of the given function by substituting x coordinates in the equation and find the corresponding y coordinate.

For x = 0

y=\log_3(0)\n\ny=\log_30

The value of log 0, is undefined, Hence, we'll not get a real value for this x value.

Hence, (0,1) doesn't lie on the graph.

For x = 27

y=\log_3(27)\n\ny=\log_33^3\n\ny=3\log_33\n\ny=3

Hence, (27,3) lie on the graph.

For x = 1

y=\log_3(1)\n\ny=0

Hence, (1,0) lie on the graph.

Therefore, (0,1) doesn't lie on the graph.

(27, 3)
(1, 0)

Working;
Substituting the value of x;
x=27
y=log81
=1.9084
x=1
y=log 3
y=0.4771

Ms. Luna is waterproofing the top of a rectangular wood deck. The width of the deck is 3 m less that the length. The length is 8m. What is the area to be waterproofed?

Answers

If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²

What is Rectangle?

A rectangle is a quadrilateral with four right angles

The area of Rectangle is length times of width.

Given that Ms. Luna is waterproofing the top of a rectangular wood deck.

The width of the deck is 3 m less that the length.

Width=Length-3

Length=8

Area of rectangle=Length×Width

=Length×(Length-3)

=8×(8-3)

=8×5

=40 m²

Hence, If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²

To learn more on Rectangle click:

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Answer:

40 m

Step-by-step explanation:

First we have to find the width. the width is 3 less than the length, which is 8... so the width is 5. Area is found by multiplyign length times width to get 40 m.

5) Use the rules of exponents to evaluate or simplify. Write without negative exponents. y^-5 / y^-2 = ____

Answers

( y ^(-5) )/(y ^(-2)) =y^(-5-(-2))=y^(-5+2)=y^(-3)=(1)/(y^(3))