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What is the simplest form of the radical expression?
(in attachment)

Answer:

1) The monthly payment is approximately $292.96

2) The total interest is approximately $2,061.84

Step-by-step explanation:

1) The financing method Nathan Reynolds applied to buy the car is given as follows;

The purchase price of the car = $15,000

The down payment made for the car = $3,000

The

The interest on the loan he took for the balance of the purchase price, R = 8%

The number of years for which he took the loan, n = 4 years = 48 months

We have;

The balance of the purchase price = (The purchase price of the car) - (The down payment made for the car)

∴ The balance of the purchase price = $15,000 - $3,000 = $12,000

The balance of the purchase price = $12,000 = The loan Nathan secured

The monthly payment on a loan is given by the following formula

[tex]A = P \times \dfrac{r \cdot (1 + r)^n}{(1 + r)^n - 1}[/tex]

Where;

A = The payment amount made  monthly

P = The principal or loan amount = $12,000

r = The interest rate divided by 12 = R/12 = 8/12 = 2/3

n = The number of months the monthly payment will be made = 48 months

By plugging in the variable values, we get;

[tex]A = 12,000 \times \dfrac{\dfrac{2}{300} \times \left (1 + \dfrac{2}{300} \right ) ^{48}}{ \left (1 + \dfrac{2}{300} \right )^{48} - 1} = 292.955068099 \approx 292.96[/tex]

Therefore, the payment amount made  monthly, A ≈ $292.96

2) The total payment made in the 48 months = A × 48 = 292.955068099 × 48 ≈ 14,061.84

The total payment made in the 48 months ≈ $14,061.84

The total interest = (The total payment made in the 48 months) - (The loan amount)

∴ The total interest = $14,061.84 - $12,000 ≈ $2,061.84

Answer:

750$

Step-by-step explanation:

[tex]Amount= 300*\frac{1050}{420} =750[/tex]

It will cost approximately $750.01 to tile a room with an area of 1,050 square feet.

To find out how much it will cost to tile a room with 1,050 square feet, we can set up a proportion using the given information.

Cost₁: The cost to tile the first room with an area of 420 square feet, which is $300.

Area₁: The area of the first room, which is 420 square feet.

Cost₂: The cost to tile the second room with an unknown area, which we want to find.

Area₂: The area of the second room, which is 1,050 square feet.

We can set up the proportion:

Cost₁ / Area₁ = Cost₂ / Area₂

Substituting the known values:

$300 / 420 sq ft = Cost₂ / 1,050 sq ft

Now we can solve for Cost₂:

Cost₂ = ($300 / 420 sq ft) * 1,050 sq ft

Calculating:

Cost₂ = $0.7143 * 1,050 sq ft

Cost₂ ≈ $750.01

Therefore, it will cost approximately $750.01 to tile a room with an area of 1,050 square feet.

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Answer:

1 13/15 yards

Step-by-step explanation:

2*3 = 6

6+ 2 = 8

8/3 * 5 = 40/15

4/5 * 3 = 12/15

40-12 = 28

28/15 = 1 13/15

Answer:

[tex]1 \frac{13}{15}[/tex]

Step-by-step explanation:

We have two fractions and are being asked to subtract them.

Since 2 2/3 and 4/5 don't have the same denominator, we must use the LCM expression, which means to find the lowest common multiple. So what is the lowest multiple of 3 and 5, this would be 15.

[tex]\frac{8*5}{3*5} - \frac{4*3}{5*3}[/tex]

[tex]\frac{40}{15} - \frac{12}{15}[/tex]

Now subtract :

[tex]\frac{28}{15}[/tex]

[tex]1\frac{13}{15}[/tex]

Answer:

Q. 11 x=29

Q. 12 x=24

Step-by-step explanation:

Q.11

sum of all sides of triangle = 180°

(2x+20)+(x+10)+(2x+5)=180°

5x+35=180°

5x=180°-35

5x=145°

x=145/5

x=29°

Q.12

sum of all sides of triangle=180°

96+(2x)+(x+12)=180°

3x+108=180°

3x=180-108

3x=72

x=72/3

x=24

Answer:

Step-by-step explanation:

Vera used the wrong number in her inequality.

Please note this question was very confusing for me.

Answer:

D

Step-by-step explanation:

The person above me is right, but if you wanted to know the letter, it's D

:D

Answer:

I think it's correct but tell me if I'm wrong

Answer:

if x is an unknown number you know that it is 6 more than the unknown number

Step-by-step explanation:

Answer:3,13

Step-by-step explanation:the price of the bowl is 10$ then you add 3 extra ingredients for a dollar each 10+3=13

Answer:

3,13

Step-by-step explanation:

Answer:

114p

Step-by-step explanation:

I did the math, I really hope it's correct

The cost to get exactly three bottles of lemonade using the offer will be [tex]190p[/tex] .

Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

Normal price of bottle [tex]=76p[/tex]

And,

Offer is buy one get one half price.

So,

According to the question,

Normal price of one bottle [tex]=76p[/tex]

Half price of one bottle [tex]=\frac{76p}{2}=38p[/tex]

So,

Price of three bottles  [tex]=76*2+38[/tex]

                                    [tex]=190p[/tex]

So, Price of three bottles is [tex]190p[/tex] .

Hence, we can say that the cost to get exactly three bottles of lemonade using the offer will be [tex]190p[/tex] .

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Answer:

B

Step-by-step explanation:

its that how you would look like if you were anime sorry was looking at your pf. have a nice day

Answer:

56.83?

Step-by-step explanation:

The new value of the baseball is $56.65.

Given that, the cost of baseballs = $55.00 and the value increases by 3% in the next year.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now, new value = 55+3% of 55

= 55 + 0.03 × 55

= 55 + 1.65

= $56.65

Therefore, the new value of the baseball is $56.65.

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Answer:

65/72

Step-by-step explanation:

Given that ∠T=90° then the triangle ΔRST is  a right angled triangle. Considering ∠S, RT is the opposite side, TS is the adjacent side and RS is the hypotenuse side. Using the notation

SOH CAH TOA

Tan ∠S = 72/65

Hence the cotangent of ∠S which is the inverse of the tangent will be

= 65/72

Answer:

A and C

Step-by-step explanation:

Let Triangle ABC is a right angle traingle.

From Option A

AB= 24, BC= 26 and AC=10

By Pythagorean Triplet

(AB)^2 + (AC)^2 = (24)^2 + (10)^2

= 576+100

(AB)^2 + (AC)^2 = 676 ---------------- (I)

(BC)^2 = 26^2 = 676 -------------------(ii)

From (I) and (ii)

(BC)^2 = (AB)^2 + (AC)^2

Therefore, the sides 10,24 and 26 are the sides of the right angle triangle.

From Option C

AB= 18, BC= 30 and AC=24

By Pythagorean Triplet

(AB)^2 + (AC)^2 = (18)^2 + (24)^2

= 324+576

(AB)^2 + (AC)^2 = 900---------------- (I)

(BC)^2 = 30^2 = 900 -------------------(ii)

From (I) and (ii)

(BC)^2 = (AB)^2 + (AC)^2

Therefore, the sides 18, 24 and 30 are the sides of the right angle triangle.

Answer:

4*4

Step-by-step explanation:

since 4 times 4 is 16 then if you add 8 its 24

Answer:

-4

Step-by-step explanation:

since x+3 is a factor of the polynomial (x^2+3x^2-kx-24), then;

x+3 = 0

x = -3

Substitute x = -3 into the polynomial

x^2+3x^2-kx-24 = 0

(-3)^2+3(-3)^2-(-3)k-24 = 0

9 + 27 + 3k - 24 = 0

36-24 + 3k = 0

12 = -3k

k = -12/3

k = -4

Hence the value of k is -4

Answer:

The appropriate answer is "10,455.29856".

Step-by-step explanation:

According to the question,

The time will be:

⇒  t = [tex]2022-2017[/tex]

⇒    = [tex]5[/tex]

On applying formula, we get

⇒ [tex]f(t)=25000(1-.16)^t[/tex]

On substituting the value of "t", we get

⇒ [tex]f(5)=25000(1-.16)^5[/tex]

⇒         [tex]=25000(0.84)^5[/tex]

On solving the power, we get

⇒         [tex]=25000\times 0.4182119424[/tex]

⇒         [tex]=10,455.29856[/tex]

Answer:

x = 52

Step-by-step explanation:

∡RQS = 180 - (90 + 34)

∡RQS = 56°

∡PQS + ∡RQS = 180°

∡PQS = x + 72

x + 72 + 56 = 180

x + 128 = 180

x = 52

Answer:

yes

Step-by-step explanation:

If the values are a Pythagorean triplet then the square of the largest value should equal the sum of the squares of the other 2

largest value = 50 ⇒ 50² = 2500

14² + 48² = 196 + 2304 = 2500

Since 50² = 14² + 48² then 14, 48, 50 are a Pythagorean triplet

Answer: look at the picture and I don’t know how to solve for b but I can do h

Step-by-step explanation: hope this help :)

Answer:

i dont know

Step-by-step explanation:

i dont know

Answer:

The interest rate is $2, the balance after 10 years will be $60.

Step-by-step explanation:

Each year the balance of the account increases by $2, so that would be the interest rate. After 10 years, the account will have 40 + 2 * 10 which equals $60.

Answer: 4,879,682

Step-by-step explanation:

Answer:

4,879,682

Step-by-step explanation:

Step-by-step explanation:

Please refer to the attachment

Answer:

16.3645959315

Step-by-step explanation:

Answer:

y = -2x + 3

Step-by-step explanation:

5 x -2 + 3 = -7

3 x -2 + 3 = -7

9 x -2 + 3 = 1

-3 x -2 + 3 = 9

You just have to test all of the options, everything, out and pick what fits.

Hope that helps!

Find quarts per hour:

140 quarts / 10 hours = 14 quarts per hour.

Now multiply quarts per hour by hours:

14 quarts per hour x 12 hours = 168 quarts

Answer:

A

Step-by-step explanation:

Answer:

1) not parallel

2)not parallel

Step-by-step explanation:

fist one intersect already

and second one will eventually intersect

Answer:

1 - Perpendicular.

2 - Neither.

Step-by-step explanation:

Use the slop formula to find the slope of the two sides.

[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]JK = \frac{4-9}{7-1} = \frac{-5}{6}[/tex]

[tex]LM = \frac{1-13}{-2-8} = \frac{-12}{-10} = \frac{6}{5}[/tex]

Perpendicular - because a line that is perpendicular to another must have a slope that is the negative reciprocal of the first line.

[tex]JK = \frac{6-(-5)}{2-13} = \frac{11}{-11} = 1[/tex]

[tex]LM = \frac{-2-(-5)}{-4-(-1)} = \frac{3}{-3} = -1[/tex]

Not Parallel. Nor perpendicular.

Answer:

1:6

Step-by-step explanation:

1:6

I hope this answer is correct

Answer:

you did this right

Step-by-step explanation: