You are painting the walls and ceiling of a rectangular 20 x 30 ft room. The walls are 10 feet tall. You need two coats of paint. If a gallon of paint covers 400 square feet and cost $53 per gallon, how much will you spend on painting this room?

The total length of wall is 160 inches

Solution:

Given that,

[tex]Length\ of\ each\ brick = \frac{2}{3}\ foot[/tex]

1 feet = 12 inches

Therefore,

[tex]Length\ of\ each\ brick = \frac{2}{3} \times 12\ inches = 8\ inches[/tex]

There are 20 bricks lined up end to end to make the wall

To find: Total length of wall in inches

[tex]Total\ length\ of\ wall = \text{length of each brick } \times \text{ total number of bricks}[/tex]

Thus we get,

[tex]Total\ length\ of\ wall = 8 \times 20\\\\Total\ length\ of\ wall = 160\ inches[/tex]

Thus total length of wall is 160 inches

To calculate the number of payments for Kendra's loan using a TVM Solver, the correct setup includes an APR of 8.4% converted to a monthly rate of 0.7%, with matching payment and compounding frequencies, making Option A the accurate choice.

When Kendra takes out a loan to buy a stereo, calculating the number of payments she will have to make involves understanding the terms used in Time Value of Money (TVM) calculations. The correct set of values must account for the annual percentage rate (APR) being compounded monthly, which requires converting the APR to a monthly rate, and ensuring the payment and compounding periods match.

For Kendra's loan:

Given these conditions, the only option that correctly configures all elements for a TVM Solver is Option A:

N=; I% = 0.7; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END

This configuration accurately reflects the loan's terms, allowing the calculation of the number of payments (N) Kendra will need to make.

The correct answer is: D. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END. Option A uses annual percentage rate (APR), while option D uses the periodic interest rate (monthly rate). Given that the interest rate is compounded monthly, it's more appropriate to use the periodic interest rate (option D).

To calculate the number of payments Kendra will have to make to pay off the loan, we can use the Time Value of Money (TVM) Solver feature of a graphing calculator. We need to set up the values correctly to solve for the number of payments (N).

Let's go through the options:

A. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=1; C/Y=12; PMT:END

B. N=; I% =0.7; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END

C. N=; 1% =0.7; PV=-750; PMT=46.5; FV=0; P/Y=1; C/Y=12; PMT:END

D. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END

Let's analyze each option:

A. This option has the correct annual interest rate (8.4%), correct present value (loan amount), correct payment amount, and correct compounding periods per year. Hence, it's a potential correct option.

B. This option has the interest rate incorrectly set as 0.7%. It should be 8.4%, not 0.7%. Hence, it's incorrect.

C. Similar to option B, this option has the interest rate incorrectly set as 0.7%. Hence, it's incorrect.

D. This option has the correct interest rate (8.4%), correct present value, correct payment amount, and correct compounding periods per year. Hence, it's a potential correct option.

So, options A and D are potential correct options. Both have the correct interest rate and payment amount. The difference lies in how the interest rate is represented: option A uses annual percentage rate (APR), while option D uses the periodic interest rate (monthly rate).

Given that the interest rate is compounded monthly, it's more appropriate to use the periodic interest rate (option D). Therefore, option D is the most suitable choice.

Complete Question:

Kendra took out a loan for $750 at an 8.4% APR, compounded monthly, to buy a stereo. If she will make monthly payments of $46.50 to pay off the loan, which of these groups of values plugged into the TVM Solver of a graphing to make?

A. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=1; C/Y=12; PMT:END

B. N=; I% =0.7; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END

C. N=; 1% =0.7; PV=-750; PMT=46.5; FV=0; P/Y=1; C/Y=12; PMT:END

D. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END

Answer:

The per hour income of Siobhan is $9.31 per hour.

Step-by-step explanation:

Working in a grocery store James makes $7.00 per hour. Priya's hourly income is 40% more than James, and Siobhan's  hourly income is 5% less than Priya.

Therefore, using formula of percentage, the per hour income of Priya will be

[tex]7.00(1 + \frac{40}{100}) = 7 \times 1.4 = 9.8[/tex] dollars per hour.

Again, the per hour income of Siobhan is [tex]9.8(1 - \frac{5}{100}) = 9.8 \times 0.95 = 9.31[/tex] dollars per hour. (Answer)

Answer:

Exact form:

22/13

Decimal form:

1.692307

Answer:

123.9125

Step-by-step explanation:

The total amount of rainfall in Lakeview in 5.75 years is approximately 123.9125 inches. The correct answer is option C.

Lakeview gets 21.55 inches of rain per year on average.

To find the total amount of rainfall in Lakeview in 5.75 years, we can multiply the average yearly rainfall by the number of years.

Average yearly rainfall: 21.55 inches

Total rainfall in 5.75 years: 21.55 inches/year * 5.75 years

Calculating the result:

= 21.55 x 5.75

≈ 123.9125

Therefore, the total amount of rainfall in Lakeview in 5.75 years is approximately 123.9125 inches.

The correct answer is option C.

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Answer:

2x+7

Step-by-step explanation:

Answer:

63 and 72

Step-by-step explanation:

Sum the parts of the ratio, 7 + 8 = 15 parts

Divide the sum by 15 to find the value of one part of the ratio

135 ÷ 15 = 9 ← value of 1 part of the ratio, thus

7 parts = 7 × 9 = 63

8 parts = 8 × 9 = 72

The numbers are 63 and 72

Answer:

35.1785714286

Step-by-step explanation:

To find the mean you have to add all numbers. After you have added all numbers, you must divide the sum by the number of how many points you have.

Answer:

35.18

Step-by-step explanation:

Given the above scores .

Mean

= sum of scores/ number of scores

37.5 + 25.5 + 30.5 +41.5 +52.5 + 28.25 + 30.5 /7

246.25/7

35.18

Answer:  Unit =2

tens=8

hundred= 3

thousand= 4

Step-by-step explanation:

The paper would be 112589991 km thick if folded 50 times.

Step-by-step explanation:

Step 1; The sheet is [tex]\frac{1}{10}[/tex]mm thick which equals 0.1 mm. Every time it is folded it doubles in thickness. So if folded once it becomes 0.2 mm thick, if folded thrice it becomes 0.4mm thick.

Thickness if folded once = [tex]2^{1}[/tex] × 0.1 mm

thickness if folded twice = [tex]2^{2}[/tex]× 0.1 mm

Thickness if folded thrice = [tex]2^{3}[/tex] × 0.1 mm.

So if the paper is folded nth fold it would be [tex]2^{n}[/tex] × 0.1 mm thick.

Step 2; Using the above formula, if the paper is folded 50 times the thickness would be equal to [tex]2^{50}[/tex] × 0.1 mm = 112,589,990,684,262.4‬ mm.

1 km is equivalent to [tex]10^{6}[/tex]mm so 112,589,990,684,262.4‬‬ mm = 112,589,990.6842624‬‬ km which is rounded off to 112589991 km.

Answer:

MN = 10

Step-by-step explanation:

To find the length of a line segment or the straight distance between two points, use the formula  [tex]L = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex] , where you can substitute two points, which would be (x₁ , y₁) and (x₂ , y₂). "L" stands for length.

Choose point 1 and point 2:

Point 1: M (2, -3)     x₁ = 2  y₁ = -3

Point 2: N (8, 5)     x₂ = 8   y₂ = 5

Substitute the values for the variables:

[tex]L = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]L = \sqrt{(8-2)^{2}+(5-(-3))^{2}}[/tex]    Solve inside each bracket first by adding

[tex]MN = \sqrt{(6)^{2}+(8)^{2}}[/tex]      Square each number

[tex]MN = \sqrt{36+64}[/tex]        Add the numbers

[tex]MN = \sqrt{100}[/tex]          Find the square root

[tex]MN = 10[/tex]          Length of the line segment

Therefore the length of the line segment MN is 10.

Answer:

r=9/2 or 4.5

Step-by-step explanation:

First of all our goal is to get R by itself

by cross multiplying we get,

(r+3)*3=5r

by distributive property we get

3r+9=5r

substracting 3r from both sides we get

9=2r

by dividing by 2 in both sides we get

r=9/2 or 4.5

Answer:

18.75

Step-by-step explanation:

since you are scaling up you do

125/80 which is 1.5625 and multiply that by 12.

Answer:

B.

Step-by-step explanation:

B. <b and <A are complementary - remember that complementary angles means that the 2 angles will add up to 90 degrees, and in this case, they add up to 180 degrees.

Answer:

c. 5,500

Step-by-step explanation:

The best estimate of your yearly real estate taxes is $5,500.

Option C is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The total assessed value of the property.

= 200,000 + 300,000

= 500,000

Taxes.

$11 for $1000 assessed value.

This means,

$1000 value = $11

Multiply 500 on both sides.

500 x $1000 = 500 x $11

$500,000 = $5,500

Thus,

The best estimate of the taxes is $5500.

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Answer:

10.3773584906

Step-by-step explanation:

Answer:

  300

Step-by-step explanation:

The first (and last) digit can be any of {2, 4, 6}. The 2nd and 3rd digits can be any from 00 to 99. The 4th digit is the same as the 2nd, and the 5th digit is the same as the first.

There are 3·10·10 = 300 possible even palindromes in the given range.

Answer:

300

Step-by-step explanation:

:):

Answer:

Yes

Step-by-step explanation:

Answer:

Yes, 2,509 is less than 2,590

Step-by-step explanation:

When comparing 2509 to 2590, you first look at the first number on the left. In our case it is 2, then you look at the second number, which is 5, then you look at the third number which is 0 and 9, since the 9 is bigger that makes 2590 bigger than 2509, or 2509 less than 2590

Hope this helps ;)

Answer:

X=21

Step-by-step explanation:

(7)+ (4x+56) - (5x+3)=45

7+4x+56-5x+3=45 add similar numbers

56+7+3=66

4x-5x= -x

-x+66=45

    -66   -66

-x=-21

divide by - and x=21

Answer:

HCF of 112 and 46 = 2

Step-by-step explanation:

HCF/GCD/GCF all mean the same. They are the highest common factor of two or more numbers.

Step 1: First you extract all the 'Prime' factors of each number.

The ladders on the image show that you are dividing each number with the smallest prime number. You keep doing it till you reach 1 .

Step 2: Then you write the factors of each.

Step 3: You choose the common factors.

Step 4: Multiply the common factors (if any) and then you have your answer.

Answer:

HCF: 2

LCM: 2576

Step-by-step explanation:

Prime factorizations:

112 = 2×2×2×2×7

46 = 2×23

HCF: 2 (only common factor)

LCM: 2×2×2×2×7×23 = 2576

Answer:

5x^2 - 13x + 3 + x - 3

5x^2 - 12x

Answer:

-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-0)/(0-(-1))

m=-1/(0+1)

m=-1/1

m=-1

Answer:

$9.5 is the cost of 1 month.

Step-by-step explanation:

the total yearly cost = 12 months = $114

Cost of per month = 1 month = $114 / 12 = $9.5

Answer:

yes

Step-by-step explanation

the common difference is -30

Final answer:

The sequence -38, -68, -98, -128,... is an arithmetic sequence because the common difference between consecutive terms is consistent, which is -30.

Explanation:

The student has asked whether the sequence -38, -68, -98, -128,... is arithmetic. To determine if a sequence is arithmetic, we need to check if the difference between any two consecutive terms (also known as the common difference) is the same.

Let's calculate the difference between the first two terms:

-68 - (-38) = -68 + 38 = -30

Now, let's calculate the difference between the second and the third terms:

-98 - (-68) = -98 + 68 = -30

Similarly, the difference between the third and the fourth terms is:

-128 - (-98) = -128 + 98 = -30

Since the common difference is the same (-30) for all consecutive terms mentioned, the sequence is indeed an arithmetic sequence.

Answer:

Saturday

Step-by-step explanation:

Each day of the week is repeated after 7 days

So, after 19 days it would be Saturday

Answer:

39

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Answer:

Attach image plz

Step-by-step explanation:

Answer:

The slope is constant

Step-by-step explanation:

Answer:

          1 7/8

Step-by-step explanation:

15/8= 15/1 * 1/8

     15/8

Simplify that and you get 1 7/8.

     Hope it helps!

Answer:

1 7/8

Step-by-step explanation:

Length of wire= 15foot

Cut into 8 equal pieces

Length of each piece = 15/8

1 7/8 foot each