Mackenzie invested $5,200 in an account paying an interest rate of 4\tfrac{1}{8}4 8 1 ​ % compounded monthly. Justin invested $5,200 in an account paying an interest rate of 4\tfrac{3}{4}4 4 3 ​ % compounded continuously. After 20 years, how much more money would Justin have in his account than Mackenzie, to the nearest do.llar?​

Answer and explanation:

To solve the inequality x-2/x + x+2/x+3 < 3/2 we have to first simplify the expressions on the left side of the inequality sign. And so we multiply x by the expressions on the left side to eliminate fractions:

=x(x-2/x)+x(x+2/x)+x(3)< 3/2

=x-2+x+2+3x < 3/2

=5x < 3/2

x < 3/2/5

x < 3/2×5/1

x < 15/2

x < 7 1/2 or 7. 5

Answer:

3.55

Step-by-step explanation:

First you must reduce the problems so they do not have a whole. then just divide. You can also use a calculator.

Answer:

Step-by-step explanation:

(x-1)(x+3)(x-9)(x+1)(x-9)(x+1)(x+1)  

the above works out.  but not sure what other choices you had in the answer

Answer:

(x-1)(x+3)(x-9)(x+1)(x-9)(x+1)(x+1)  

Step-by-step explanation:

Answer:

9)  3.7 in

10) 12 in²

11) 18 in³

12) V=432π cm³

   TSA= 216π cm²

13)V=448π ft³

   TSA=240π ft²

Step-by-step explanation:

9) Since all side of the trapezium are the same the height = perpendicular line which is 3.7 in

10) 3×4 (the quadrilateral at the bottom)

11)∵ A= Cross-sectional area× height

  ⇒A= Area of the trapezium × 4

  ∴ A=[tex]\frac{1}{2} \\[/tex] (sum of the parallel sides) × 4

  A=[tex]\frac{1}{2} \\[/tex] (3+6) × 4

  A= 18 in²

12) V=πr²h

    V=π(6)²(12)

⇒V=432 cm³

   TSA=2(πr²)+2πrh

  TSA=2(π(6)²)+2π(6)(12)

 ⇒TSA=240π cm²

13. V=πr²h

    V=π(8)²(7)

   V=448π ft³

TSA=2(πr²)+2πrh

TSA=2(π(8)²)+2π(8)(7)

TSA=240π ft²

9)  3.7 in

10) 12 in²

11) 18 in³

12) V=432π cm³

   TSA= 216π cm²

13)V=448π ft³

   TSA=240π ft²

Answer:

The answer is B you do not have to subtract the 7... Hope this helps

Step-by-step explanation:

plz give brainliest and rating

Answer:

It's B

Step-by-step explanation:

B) Because Limit as x approaches negative 1 f(x) = –4 and f(–1) = –4, it follows that Limit as x approaches negative 1 f(x)= f(–1). Therefore, the function is continuous at x = –1

Answer:

Step-by-step explanation:

the answer is D.

Answer:

8

Step-by-step explanation:

6² + b² = 10²

36 + b² = 100

-36          -36

b² = 64

[tex]\sqrt{64}[/tex] = 8

b² = 8

hope this helps

Answer:

(x, y) (1,5.5) , (2,5.75) (3,5.83) (4,5.875) (5,5.9)

Step-by-step explanation:

The x values lie on the horizontal line and the y values lie on the vertical line.

In order to find the value of y you must substitute the value of x in the equation given and you must plot you graph using the answers you got which I wrote for you.

NOTE:if there's anything you don't understand let me know.

The Answer Is 9-6i

have an amazing day <3

Answer:      9-6i

Step-by-step explanation:

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]

2a=a+10+44°[exterior angle of a triangle is equal to the sum of two opposite interior angle]

2a-a=54°

a=54°

.so

exterior angle=2×54°=108°is your answer

Answer:

The answer is D

Step-by-step explanation:

the standard equation for circle is (x －h)² ＋(y －k)² = r² which h is the x coordinate, k is the y coordinate, r is radius. In this case, both x coordinate and y coordinate are 0, so the left side of the equation is x² + y², since the radius is √249, the r² is 249. So the equation is x² + y² = 249, and the answer is D.

Hope this will help❤️

Answer:

$45000

Step-by-step explanation:

Given data

Net income =$50,400

Let the prior year income be x

12/100*x +x= 50400

0.12x+x= 50400

1.12x= 50400

x= 50400/1.12

x= $45000

Hence the prior year income is $45000

Answer:

Step-by-step explanation:

Apply the Pythagorean Theorrem.  Find the sum of the squares of the two shortest sides and determine whether this sum equals the square of the longest side:

#19:  5^2 + 12^2 = ? = 13^2

 25  +  144  = ? = 169    This is true, so you do have a right triange in #19.

#21:  2^2 + 4^2 = ? = 7^2, or 4 + 16 = ? = 49     This is false.  Not a right

                                                                            triangle.

Apply this same approach (Pythagorean Theorem) to the remaining problems.

Answer:

sorry it's very long........

Answer:

78.54

Step-by-step explanation:

Answer:

Circumference of a circle in terms of radius:

Circumference = 2·π·r = 2·3.14·5 = 31.42 mm.(*)

In terms of diameter:

Circumference = π·d = 3.14·10 = 31.4 mm.(*)

In terms of area:

Circumference C = √4·π·A = √4·π·78.54 = 31.42 mm.(*)

Step-by-step explanation:

Note: For simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.

Answer:

16.2 + (-8.7)

Step-by-step explanation:

16.2 + (-8.7) has the same value since the negative and positive will end up being negative.

Answer:

10 and 64.

16 and 40

Step-by-step explanation:

The product of the two numbers is equal to the product of LCM and HCF

Number 1* Number 2= LCM * HCF

Number 1* Number 2= 8*80

Number 1* Number 2= 640

Both the numbers are greater than 8. Suppose one number is 10 then the other number will be 640 ÷ 10= 64

so the two numbers will be 10 and 64.

Similalrly the two numbers can also be 16 and 40 and like wise.

Any number greater than 8 dividing 640 will give the second number also.

Pythagorean theorem

a^2+b^2=c^2

a=c^2-b^2

Step-by-step explanation:

c=a^2+b^2

5^2+12^2=13

a=c^2-b^2

15^2-5^2= 14.1

Answer:

D. Causation implies correlation

Answer:

B. is the answer

Step-by-step explanation:

Answer:

7781

Step-by-step explanation:

1842+5939=7781

Answer:

A.

mean=82.286

Rounded to the tenths place would be= 82.3

Step-by-step explanation:

The Mean is found by adding all of the values together

Then dividing it by how many values there are.

In this instance, all the values added up equal 576

576 now will be divided by how many temperatures are recorded.

576/7=82.286

82.286 Rounded to nearest tenth=82.3

Answer:

18 cm

Step-by-step explanation:

please mark this answer as brainliest

Answer:

18 cm

Step-by-step explanation:

The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3.

Given: side x = 3 cm

Use the diagonal formula,

Diagonal of cube = 3–√x

Diagonal of cube = 3–√ × 3

We know that the value of √3 is 1.734

Therefore, the diagonal of a cube  = 1.734 (3)

Diagonal of cube = 5.20 cm

Answer:

a. (7, 27) Polly was incorrect.

b. (3, 1) Polly was correct.

Step-by-step explanation:

a.

y = 4x - 1

2x - y = -13

We can solve this by substitution. Our first equation gives us y. Plug that into our second equation for each instance of y.

2x - y = -13

2x - (4x - 1) = -13

First distribute the negative sign across the parentheses.

2x - 4x + 1 = -13

Combine like terms.

-2x + 1 = -13

-2x = -14

Divide both sides by -2.

x = 7

Now that we know x, plug its value into one of our original equations.

y = 4x - 1

y = 4(7) - 1

Solve.

y = 28 - 1

y = 27

Our solution is (7, 27).

Let's check our answer by plugging both values into one of our original equations.

2x - y = -13

2(7) - 27 = -13

Solve.

14 - 27 = -13

-13 = -13

Your solution is correct.

Polly's solution was (-2, -9), which is incorrect.

b.

3x + 6y = 15

-2x + 3y = -3

Let's solve this by elimination. To solve by elimination means to eliminate a variable from the equation.

We have 3x & -2x and 6y & 3y. Notice that 6 and 3 can be simplified easily. To eliminate y, we want to multiply each factor of the second equation by -2.

-2x + 3y = -3

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

4x - 6y = 6

Write the equations together.

3x + 6y = 15

4x - 6y = 6

Now we can see that the y variable will cancel out.

Apply the elimination method.

3x + 6y = 15

4x - 6y = 6

________

7x = 21

Divide both sides by 7.

x = 3

Now that we know x, plug its value into one of our original equations.

3x + 6y = 15

3(3) + 6y = 15

Solve.

9 + 6y = 15

6y = 15 - 9

6y = 6

y = 1

Our solution is (3, 1).

Let's check our answer by plugging both values into one of our original equations.

-2x + 3y = -3

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

Solve.

-6 + 3 = -3

-3 = -3

Your solution is correct.

Polly's solution was (3, 1), so she was correct.

Hope this helps!

Answer:

t = 68000 s

Step-by-step explanation:

Given that,

The average time Sally spent for training for her weight lifting competition in the month of May is [tex]6.8\times 10^4\ s[/tex].

We need to write this time in standard notation.

The power of 10 is 4. 10⁴ can be written as 10000.

[tex]6.8\times 10^4=\dfrac{68}{10}\times 10000\\\\=68000[/tex]

So, the standard time is equal to 68000 s.

Answeryou need to write your question better

Answer:

33.29

Step-by-step explanation:

A=πr^2

A=π2^2=12.57

12.57/2=6.29

7-4=3

3x2=6

6/2=3

4x6=24

6.29+3+24=33.29