Bill invests $2,977 in a retirement account
with a fixed annual interest rate of 6%
compounded quarterly. What will
the account balance be after 13 years?

Answer:

0

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

[tex] \frac{ - 2 + 2}{9 + 7} = \frac{0}{16} = 0[/tex]

I am joyous to assist you anytime.

Putting 5.5% 29,000 in a calculator we get 1595 which is the commison he gets.

Another way to get answers for questions like this is to multiply the percantage by the number then divide by 100. in this case,    5.5 x 29,000 / 100 = 1595

Answer:

No, Kari did not run more than 15 miles last week, she instead only ran 14.1 miles. Hope this helps :)

Answer:

The change in price is $0

Step-by-step explanation:

dropped $3 means "-3", increased $6 means "+6"

the price dropped twice so 2(-3) and increased once by 6

so, 2(-3) + 6 = 0

The price of the online movie stayed the same from Monday morning to the following Monday morning. It dropped $6 on the first day and increased $6 on the next Monday, so the decrease and increase balanced each other out.

This problem belongs to the field of basic mathematics, specifically, arithmetic operations. To solve this, we'll follow the changes day by day. On Monday morning, the price of the online movie dropped $3 and then another $3 in the afternoon. That's a total drop of $3 + $3 = $6. The following Monday morning, the price increased by $6. So overall, the movie price just returned to its original price because the total amount of decrease, which is $6, and the total amount of increase, which is also $6, balanced each other out. So, the price of the online movie when its changed from Monday morning to the following Monday morning remained the same.

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Answer:

44°

Step-by-step explanation:

bisected means <1 = <2

so just add 22 + 22

Answer:

Step-by-step explanation:

median- 23447

mode- 2579

range-1109766

Answer:

[tex]7^{27}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex], thus

[tex](7^9)^{3}[/tex] = [tex]7^{9(3)}[/tex] = [tex]7^{27}[/tex]

Answer:

160 not 16

Step-by-step explanation:

The area of Triangle K is 4 times the area of Triangle J.

The area of Triangle K can be determined by using the scale factor of 4. Since the scale factor determines how lengths are scaled, the area of a figure is scaled by the square of the scale factor. In this case, the scale factor is 4, so the area of Triangle K will be 4 times the area of Triangle J.

Let's say the area of Triangle J is A. Then, the area of Triangle K will be 4A.

Therefore, the area of Triangle K is 4 times the area of Triangle J.

Answer:

[tex]y = \frac{4x}{5}+\frac{42}{5}[/tex]

Step-by-step explanation:

In order for two lines to be parallel, they must have the same slope. So, we know that the slope of the other line is 4/5.

We're given an ordered pair, so we can solve for [tex]b[/tex] in the (slope-intercept form) equation [tex]y = mx + b[/tex]

[tex]2 = \frac{4}{5}(-8) + b\\2 = \frac{-32}{5}+b\\b = 2 + \frac{32}{5}\\  b = \frac{42}{5}[/tex]

[tex]y = \frac{4x}{5}+\frac{42}{5}[/tex]

Answer:

Replace  

F

(

x

)

with  

y

.

y

=

9

x

Interchange the variables.

x

=

9

y

Solve for  

y

.

Tap for more steps...

y

=

x

9

Solve for  

y

and replace with  

F

−

1

(

x

)

.

Tap for more steps...

F

−

1

(

x

)

=

x

9

Step-by-step explanation:

Answer is attached below.

In the number 861, the value of the digit 6 is 60 because it falls in the tens place.

The value of the 6 in 861 is in the tens place. This means that it's value is not simply 6, but 60. In other words, the value of a digit depends on its position or place value in the number. In this case, because 6 falls in the tens place, it represents 60 rather than 6.

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Answer: [tex]h=\dfrac{E}{mg}[/tex], where E = gravitational potential energy, m = mass, g = gravity, and h = height.

Step-by-step explanation:

Given : The formula [tex]E= mgh[/tex] , where E = gravitational potential energy, m = mass, g = gravity, and h = height, is used to calculate gravitational potential energy.

To find the formula for h (height), we need to divide mg on both the sides , we get

[tex]h=\dfrac{E}{mg}[/tex]

Hence, the formula for h will be [tex]h=\dfrac{E}{mg}[/tex], where E = gravitational potential energy, m = mass, g = gravity, and h = height.

For the formula  E= mgh, when we solve for h, we would get : Option B. h equals E over m times g

To solve the formula E = mgh for h,

we need to isolate the variable h on one side of the equation.

Here's the step-by-step process:

equation: E = mgh.

Divide both sides of the equation by mg to make h the formula of the equation

E/(mg) = h

Therefore, the formula E = mgh, when solved for h, becomes h = E/(mg). Option B is correct.

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Answer:

16.77 hours

Step-by-step explanation:

the new battery lasts 29 percent longer so you multiply 13 × 1.29 and you get

16.77 hours

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Answer:

The solution to that inequality is (-2,2).

Step-by-step explanation:

Given the inequality |x|<2, we have two possibilities

1) x<2 or

2) -x<2 ⇒ x> -2.

Then the intersection between solutions is (-2, 2).

To find Sn for the given arithmetic series with a1 = 22, d = –8, and n = 21, you can use the formula Sn = (n/2)(2a1 + (n - 1)d). Substituting the values into the formula gives Sn = -2418.

To find the sum of an arithmetic series, you can use the formula:

Sn = (n/2)(2a1 + (n - 1)d)

where Sn represents the sum of the series, a1 is the first term, d is the common difference, and n is the number of terms.

In this case, a1 = 22, d = -8, and n = 21. Substituting these values into the formula gives:

S21 = (21/2)(2(22) + (21 - 1)(-8)) = (21/2)(44 + 20(-8)) = (21/2)(44 - 160) = (21/2)(-116) = -2418

Therefore, the sum of the arithmetic series is -2418.

Final answer:

The sum of the first 21 terms (Sn) of the arithmetic series with a first term of 22 and a common difference of -8 is -1222.

Explanation:

To find Sn for the given arithmetic series where the first term a1 = 22, the common difference d = –8, and the number of terms n = 21, we can use the formula for the sum of the first n terms of an arithmetic series:

Sn = ½ n (2a1 + (n - 1)d)

Plugging in the given values:

Sn = ½ × 21 (2 × 22 + (21 - 1)× (–8))

Simplify further to find:

Sn = ½ × 21 (44 – 160)

Sn = ½ × 21 × (–116)

Sn = 10.5 × (–116)

Sn = –1222

Thus, the sum of the first 21 terms of the series is –1222.

Answer:

$2.6

Step-by-step explanation:

firstly we find percentage of tax .

(16/400) * 100

= 16/4

= 4 %

now ,

so 4% of 650

= (4*650)/ 100

=260/100

= $2.6

Answer:

the answer is 26 no decimal i got it right on my test.

X=tax on a $650 TV

16/400 = X/650

16*650=400*X

10,400=400*X

10,400/400=X

26=X

Answer:

Solution : x = 2

                y = 3

Step-by-step explanation:

x+y = 2y-x+1=5

x + y = 5   --------> equ 1

2y - x +1 = 5

2y - x   = 5 - 1

2y - x    = 4

-x + 2y = 4--------> equ 2

add equ 1 & equ 2

3y =9

y = 9/3 = 3

Put y = 3 in equ 1

         x + 3 = 5

                x = 5 - 3 = 2

Solution : x = 2

                y = 3

To solve the equation 13(y+7)=3(y−1), it's needed to expand the equation, isolate the variable, then solve for y. The solution to the given equation is y = -9.4.

To solve the equation 13(y+7)=3(y−1), we first expand each side of the equation by multiplying: 13y + 91 = 3y - 3. Next, we need to isolate the variable y on one side of the equation. We can do this by subtracting 3y from both sides which gives us 10y + 91 = -3. Then, subtract 91 from both sides of the equation to get: 10y = -94. Finally, divide each side by 10 to solve for y. Therefore, the solution is y = -9.4.

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The equation 13(y+7)=3(y−1) simplifies to y = -9.4 after expanding both sides of the equation, bringing like terms together and dividing by 10.

To solve the equation 13(y+7)=3(y−1), we start by expanding both sides of the equation:

13y + 91 = 3y - 3

We then bring like terms together:

13y - 3y = -3 - 91

This simplifies to:

10y = -94

Finally, we divide each side of the equation by 10 to isolate y:

y = -94/10

Hence, the solution to the equation is y = -9.4.

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Answer:

Step-by-step explanation:

(x + 3)² − 5   because :

(x + 3)² − 5 = x² +6x+9 -5 =x²+6x+4

Answer: 150 miles apart

Step-by-step explanation: You do 6 inches x 25 miles and that equals 150 miles.

Answer:

150 miles

Step-by-step explanation:

25*6=150

Answer:

C

Step-by-step explanation:

There are six dots in total at and after 4 1/2, therefore your answer is C. 6

Answer:

[tex]C.[/tex] [tex]6[/tex]

Step-by-step explanation:

If we look on the line plot, we are asked how many students spent [tex]4\frac{1}{2}[/tex] more hours or more on homework.

So find [tex]4\frac{1}{2}[/tex] on the line plot

You need to count the ones over 4 and a half and after it.

Which would be 6.

Final answer:

1 mm is less than 1 3/8 inches. An inch is 25.4 millimeters, therefore 1 mm is much smaller than 1.375 inches (equivalent to 1 3/8 inches). The correct answer is option (a).

Explanation:

To answer this question, we need to first understand that 1 3/8 inches is a mixed number, meaning it is made up of a whole number and a fraction. In this case, it is 1 plus 3/8 of an inch. We can convert it into a decimal to compare with other measurements easily, and 1 3/8 inches is equal to 1.375 inches. Now we will compare it with the provided options.

1 mm - 1 millimeter is less than 1 3/8 inches because there are 25.4 millimeters in one inch. Therefore, 1 mm is much smaller than 1.375 inches.

So in this scenario, option (a) 1 mm is less than 1 3/8 inches.

Answer:

15 = -x/5

 -x/5 = 15

  x    = - 75

Step-by-step explanation:

Answer:

51 salted pretzels were sold.

Step-by-step explanation:

Step 1: Write the data

Number of Ice cream cones sold: x

Cost of ice cream cones sold: 3x

Number of Salted pretzels sold: y

Cost of salted pretzels sold: 2.5y

Number of tacos sold: z

Cost of tacos sold: 2z

Step 1: Make equation 1

Total money made: $359.5

Money made from tacos: $70

Money made from ice cream cones and salted pretzels: 359.5-70 = $289.5

Equation 1:

3x + 2.5y = 289.5

Step 3: Make equation 2

Cost per tacos: $2

Total number of tacos sold: z

Money made from total tacos: $70

2z = 70

z = 35 tacos were sold

Total number of ice cream cones and salted pretzels sold: 140-35 = 105

Equation 2:

x + y = 105

Step 4: Find the unknown value by substitution

3x + 2.5y = 289.5

x + y = 105

Find x in terms of y from equation 2

x + y = 105

x = 105 - y

Substitute x in equation 1

3x + 2.5y = 289.5

3(105-y) + 2.5y = 289.5

315 - 3y + 2.5y = 289.5

0.5y = 25.5

y = 51

y represents the number of salted pretzels sold. Therefore, 51 salted pretzels were sold.

Answer:

60%,5/8,0.64

Step-by-step explanation:

you covert 64 to 64% and 5/8 to 62.5%

Answer:

Part 1) 9 and 1 over 2 divided by 1 over 4

Part 2) 18, because the number of catalogs is 72 over 5 divided by 4 over 5

Part 3) 3.2

Part 4) 3.6 with bar over 6

Part 5) 4 over 7  and  4 over 9

Part 6) 43 over 9

Part 7) Benny spent to go to the summer camp $280.00

Part 8) $124

Part 9) (−$11) ⋅ 12

Part 10) -27 ft

Step-by-step explanation:

Part 1)

Let

x ------> the number of days

we now that

The total distance jogged must be equal to the distance jogged each day multiplied by the number of days

[tex]9\frac{1}{2}=\frac{1}{4}x[/tex]

Solve for x

[tex]x=\frac{9\frac{1}{2}}{\frac{1}{4}}[/tex]

therefore

The number of days is

9 and 1 over 2 divided by 1 over 4

Part 2)

Let

x ----> the number of catalogs

we know that

To find out the number of catalogs, divide the wide of the shelf by the thick of each catalog

[tex]x=\frac{\frac{72}{5}}{\frac{4}{5}} =\frac{72}{4}= 18\ catalogs[/tex]

therefore

18, because the number of catalogs is 72 over 5 divided by 4 over 5

Part 3) Convert 16 over 5 to a decimal

we know that

[tex]\frac{16}{5}=16(\frac{1}{5})=16(0.2) =3.2[/tex]

Part 4) How can 33 over 9 be expressed as a decimal?

we know that

[tex]\frac{33}{9}= 3.666666...[/tex] ----> is a repeating decimal

therefore

3.6 with bar over 6

Part 5) Which of the following numbers can be expressed as repeating decimals?

Verify each case

case a) 4 over 7

[tex]\frac{4}{7}= 0.571428571428571428...[/tex] ----> is a repeating decimal

case b) 2 over 5

[tex]\frac{2}{5}=0.40[/tex] ----> is a terminating decimal

case c) 7 over 8

[tex]\frac{7}{8}=0.875[/tex] ----> is a terminating decimal

case d) 4 over 9

[tex]\frac{4}{9}=0.44444...[/tex] ----> is a repeating decimal

therefore

4 over 7  and  4 over 9

Part 6) Which of the following rational numbers is equal to 4 point 7 with bar over 7 ?

Verify each case

case a) 43 over 9

[tex]\frac{43}{9}= 4.77777...[/tex]

case b) 49 over 9

[tex]\frac{49}{9}= 5.444444...[/tex]

case c) 35 over 9

[tex]\frac{35}{9}= 3.888888...[/tex]

case d) 32 over 9

[tex]\frac{32}{9}= 3.55555...[/tex]

therefore

43 over 9

Part 7)

we know that

1)Benny deposited $92.50 into his account every month for 10 month

so

[tex]\$92.50(10)=\$925.00[/tex]

2) He used $36.50 every month to pay for art lessons

[tex]\$925.00-10(\$36.50)=\$560.00[/tex] -----> total money left in his account after 10 months

3) After 10 months, he used 1 over 2 of the total money left in his account to go to a summer camp for artists

so

[tex](1/2)(\$560)=\$280.00[/tex]

therefore

Benny spent to go to the summer camp $280.00

Part 8)

we know that

1) Mini earned $160 during the summer doing chores

2) She bought 3 dresses worth $12 each using her chore money.

so

[tex]3(\$12)=\$36[/tex]

To find out how much money was left, subtract $36 from the amount earned during the summer doing chores

[tex]\$160-\$36=\$124[/tex]

therefore

$124

Part 9)

we have

1 year=12 months

Let

x ----> the total deductions for the year

we know that

The total deductions for the year is equal to the Ryan's tennis club membership multiplied by the number of a months in a year

so

[tex]x=(-\$11)12=-\$132[/tex]

therefore

(−$11) ⋅ 12

Part 10)

we know that

The total depth of a submarine is 45 ft

[tex]15\%=15/100=0.15[/tex]

15% of 45 ft is

(0.15)(45)=6.75 ft

using proportion

Find out the deep after 4 minutes

Let

x ----> the deep after 4 minutes

[tex]\frac{6.75}{1}\frac{ft}{min}=\frac{x}{4}\frac{ft}{min}\\\\x=6.75(4)\\\\x=27\ ft[/tex]

therefore

-27 ft

Answer:

Part 1) 9 and 1 over 2 divided by 1 over 4

Part 2) 18, because the number of catalogs is 72 over 5 divided by 4 over 5

Part 3) 3.2

Part 4) 3.6 with bar over 6

Part 5) 4 over 7  and  4 over 9

Part 6) 43 over 9

Part 7) Benny spent to go to the summer camp $280.00

Part 8) $124

Part 9) (−$11) ⋅ 12

Part 10) -27 ft

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Answer:

y=x-3

Step-by-step explanation:

4x − 5 = 7 + 4y

4y=4x-5-7

4y=4x-12

y=4x-12/4

y=x-3