You invest $600 in an account that has a annual interest rate of 7%, compounded quarterly for four years. What is the equivalent interest rate, and how many times will the money be compounded?
1.75% and 1 time
5.7% and 4 times
1.75% and 16 times
5.7% and 16 times

Answer in order:

False

True

False

False

False

False

False

True

True

Step-by-step explanation:

All of the solutions to the equation[tex]3x^2 - 12 = 0[/tex]are x = 12 and x = -12

Solve:

Common factor - [tex]3(x^2-4)=0[/tex]

Divide both sides

[tex]x^2-4=0[/tex]

Use the quadratic formula

[tex]x=\sqrt{4,x}=\sqrt{-4[/tex]

x = 2, x = -2

Thus, This is false..

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There are two unique solutions to the equations (x-3)^2 = 16

one variable in matrix = one possible value.

Therefore, x = 7, x = -1

Hence this is True

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The solutions for the equation 2(x-3)^2-18 = 0 are x = 6 and x = 0

[tex]2x^3-18x^2+54x-72=0[/tex]

[tex]x=5.080084[/tex]

Hence this is false

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The solutions for the equation 2(x-5)^2-8=0 are x = 7 and x = -7

Add both sides by 8

2(x-5)^2-8+8=0+8

2(x-5)^2=8

(x-5)^2=4

x = 7, x = 3

Hence, this is false

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The solutions for the equation (x + 3)^2-25 = -8 are x = 2 and x = -8

[tex](x+3)^2=17[/tex]

[tex]x=\sqrt{17-3,}=-\sqrt{17}-3[/tex]

Hence this is false.

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The solutions for the equation 2(2x-1)^2=18 are x = 5 and x = -4

[tex](2x-1)^2=9[/tex]

x=2, x = -1

Hence this is false.

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The only solution for equation (2x-1)^2-49=0 is x = 4

[tex](2x-1)^2=49[/tex]

x = 4, x = -3

Hence, this is false

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The solutions for the equation 3(x+2)^2 - 3 = 0 are x = -3 and x = -1

[tex]3(x+2)^2=3[/tex]

[tex](x+2)^2=1[/tex]

x = -1, x = -3

Hence, this is true

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The solutions for the equation 5x^2 - 180 = 0 are x = 6 and x  = -6

Add 180 to both sides

[tex]5x^2-180+180=0+180[/tex]

[tex]5x^2 = 180[/tex]

[tex]x^2 = 36[/tex]

[tex]x=\sqrt{36},x=-\sqrt{36}[/tex]

x = 6, x = -6

Hence, this is true.

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[RevyBreeze]

Answer:

10

Step-by-step explanation:

How many times greater is the value of 4 in 547 than the value of the 4 and 84​?

547: 500 + 40 + 7

5 is in the hundreds place

4 is in the tens place

7 is in the ones place

84: 80 + 4

8 is in the tens place

4 is in the ones place

The value of 4 in 547 is 10 times greater than the value of 4 in 84.

Since the 4 in 547 is in the tens place, while the 4 in 84 is in the ones place.

Also, 4 * 10 = 40

Hope this helps!

Answer:

the answer; 32÷36×100 will give the answer (d) -88.9%

The probability of selecting a square is the likelihood of the square

The probability that the square selected is a multiples of 3 not less than 10 is 3/20

The given parameters are:

Squares = 20

Multiples of 3 not less than 10 = 3

Stripped balloons = 17

The probability that the square selected is a multiples of 3 not less than 10 is calculated as:

P = n(Multiples of 3 not less than 10)/Total

This gives

P = 3/20

Hence, the probability that the square selected is a multiples of 3 not less than 10 is 3/20

Read more about probability at:

https://brainly.com/question/251701

Answer:

2835 flowers

Step-by-step explanation:

We need the circumference of the garden, with it's 150' radius.  Circumference, C,  is given by:  C = 2[tex]\pi[/tex]r.  I'll use [tex]\pi[/tex]=3.15, as you have requested, but it is actually closer to 3.14.

C = 2*(3.15)*150'

C = 945'

4 inches = 1/3 foot.

Every 1/3 of a foot of the circumference will have a flower.  We can make this a conversion factor:   3 flowers/foot

Flowers = (945')*( 3 flowers/foot) = 2835 flowers

Answer:

AAA is not a congruency postulate because it could only prove that triangles are similar, not congruent.

Step-by-step explanation:

Answer:

4 7/8

Step-by-step explanation:

First we need to gte the denominators the same!

So we multiply the 1/4 by 2

1/4 x 2 = 2/8

Now we subtract the 2/8 from 5 1/8 to get our answer :)

5 1/8 - 2/8 = 4 7/8

Your final answer will be 4 7/8 :)

Have a great day!

Please rate and mark brainliest!

Hey there!

x(-2x + 3)

= 1x(-2x + 3)

DISTRIBUTE 1x WITHIN the PARENTHESES

= 1x(-2x) + 1x(3)

= -2x(1x) + 3(1x)

= -2x^2 + 3x

Therefore, your answer is: -2x^2 + 3x

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

mean =225.25, median= 212.5

Step-by-step explanation:

You add all the numbers and divided by the total numbers to get mean, and for get the median you need to put them in order and get the number that is between all the number it be the 202 and 223 so you divide the two number with two and it will be 212.5

Pls give brainliest ily<3

Answer:

18pi

Step-by-step explanation:

Circumference = 2 Pi R

c = 2 x 9 x Pi

c = 18Pi

The total revenue of the function is the product of the quantity and the price

The total revenue in terms of P is TR = 20P - 0.01P^2

The demand and the cost functions are given as:

Quantity function, Q = 20 - 0.01P

Cost function, C(Q)=60+6Q

The total revenue is calculated as:

TR = Q * P

Substitute Q = 20 - 0.01P in the above equation

TR = P * [20 - 0.01P]

Evaluate the product

TR = 20P - 0.01P^2

Hence, the total revenue in terms of P is TR = 20P - 0.01P^2

Read more about total revenue at:

https://brainly.com/question/25623677

Answer:

D I think

Step-by-step explanation:

if you do the multiplying you get 6-3x= -4 + (-3x) and then the -3x would cross out leaving 6=-4 which isnt true so D

Answer D

it is 6-3x = -4 -3x then when you add 3 x to both sides so you can move the variables to either side it cancels out on both sides so 6 = -4 meaning there is no solution

Answer: The answer can be 3.4, 3.5, 3.6, and even 3.7

Explain:

It is all because if you got an answer that you need to be between into it, you can start like this. For example: What number is between 3 and 4, well it's 3.5. So do that with the decimal, it's like the same thing.

What if it was between 3.4 and 3.6, than it's anywhere 3.51, like that, or 3.5, to make it simple.

I hope that was helpful

Answer:

16

Step-by-step explanation:

Evaluate the two in order to compare them.

2^10=2*2*2*2*2*2*2*2*2*2=1024

2^6=2*2*2*2*2*2=64

The question says how many more TIMES. This tells us that we need to see how many times does 64 go into 1024. To do this, divide 1024/64=16

The answer is 16! Hope this helps ^^

Answer:

224

Step-by-step explanation:

To work out the area of any prism:

Area of cross sectional area x width

In this case, work out the area of the rectangle and multiply by 7

8 x 4 = 32

32 x 7 = 224

Answer:

S.A of a rectangular prism is 2lh+2lw+2hw

2(4x6)+2(4×4)+2(6×4)

2(24)+2(16)+2(24)

48+32+48= 128cm²

Answer:

2 is the next number in the sequence

Step-by-step explanation:

in this pattern, you go down by one decimal spot ( zero)

this is a geometric sequence since there is a common ratio between each term.

Answer:

3.1%

Step-by-step explanation:

2.20/2.35 = 3.1%

Have an amazing day!!

Please rate an dmark brainliest!!

Answer:

  2 ft, 7 ft

Step-by-step explanation:

We are interested in the values of x such that g(x) = h(x). These will be solutions of the difference g(x) -h(x) = 0. Hence the x-intercepts of a graph of g(x) -h(x) will be solutions to the problem.

__

The graph shows the difference between the paths will be zero at distances of 2 feet and 7 feet.

Answer:

the answer is shown below

Step-by-step explanation:

hope this helps

have an awesome day -TJ

Answer:

6:8

Step-by-step explanation:

There are 6 squares and there are 8 triangles, just count them.

Answer:

3 : 4

Step-by-step explanation:

squares : triangles = 6 : 8 ( divide both parts by 2 )

                              = 3 : 4 ← in simplest form

The volume of the given solid prism is: 3 × 3 × 5 = 45 units³

The volume of any solid prism = base area of prism × height of the prism.

Given the following dimensions of the solid prism:

Volume of the solid prism = 9 × 5 = 45 units³

Learn more about volume of solid prism on:

https://brainly.com/question/5793407

Answer:

12.5%

Step-by-step explanation:

0.25  * 100

= 12.5%

Given a graph with a line running through coordinates (0,0) and coordinates (40,12), the unit rate of the relationship between the number of kilometers traveled by a bicycle (y) and the number of minutes (x) is given by the slope of the line.

A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams.

Let suppose that element X experiments a simple radioactive decay, that is, that the element X becomes gradually into another less radioactive stable element in time.

We know that decay behaves exponentially and follows this model:

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex]   (1)

Where:

The time constant can be described in terms of half-life ([tex]t_{1/2}[/tex]), in minutes, through the following expression:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex]   (2)

If we know that [tex]t_{1/2} = 8\,min[/tex], [tex]m_{o} = 170\,g[/tex] and [tex]m(t) = 5\,g[/tex], then the time needed for the decay is:

τ ≈ 11.541 min

[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]

t ≈ 40.698 min

A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams. [tex]\blacksquare[/tex]

To learn more on radioactive decay, we kindly invite to check this verified question: https://brainly.com/question/27156663

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