\displaystyle\lim_{ x \rightarrow 0 } \left( \dfrac{ \sqrt[ m ]{ 1+αx \phantom{\tiny{!}}} \times \sqrt[ n ]{ 1+βx \phantom{\tiny{!}}} -1 }{ x } \right)

Based on the information given, it can be deduced that the annual interest rate will be 8.5%.

Principal = 5000

Interest = 5425 - 5000 = 425

Time = 1 year

Rate = Unknown.

Simple Interest = PRT / 100

425 = (5000 × R × 1)/100

42500 = 5000R.

R = 42500/5000

R = 8.5%

In conclusion, the correct option is 8.5%.

Learn more about the interest rate on:

https://brainly.com/question/25767935

Answer:

143 should be correct

Step-by-step explanation:

hope this helps

Answer:

$ 156.86

Step-by-step explanation:

We have been given that the bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip.

The total bill including tip would 136.40 plus 15% of136.40plus15136.40.

\text{Total bill}=\$136.40+\frac{15}{100}\times \$136.40Total bill=$136.40+10015×$136.40

\text{Total bill}=\$136.40+0.15\times \$136.40Total bill=$136.40+0.15×$136.40

\text{Total bill}=\$136.40+\$20.46Total bill=$136.40+$20.46

\text{Total bill}=\$156.86Total bill=$156.86

Therefore, the total cost of bill including tip would be $156.86.

Answer:

  80a²b³c

Step-by-step explanation:

As with numbers, the LCM is the product of the highest-powered factors.

  16ab³ = 2⁴×a×b³

  5a²b² = 5×a²×b²

  20ac = 2²×5×a×c

The highest power of the factor 2 is 2⁴.

The highest power of the factor 5 is 5.

The highest power of the factor a is a².

The highest power of the factor b is b³.

The highest power of the factor c is c.

The LCM is 2⁴×5×a²×b³×c = 80a²b³c

Check the picture below.

Answer:

Step-by-step explanation:

In ΔBCD,

Two sides are equal, i.e,

BC = CD

therefore, it is a Isoceles Triangle.

In ΔBDE,

No sides are equal,

therefore, it is Scalene Triangle.

In ΔABE,

AB = BE = AE

Therefore, it is equilateral triangle.

Answer:

To find the slope given two points, use the slope formula. The slope formula is Y2-Y1/X2-X1. Substitute in the given points and solve.

365-170/5-2

195/3

65

The slope of the two points is 65.

Hope this helps! :)

Answer: If you are wondering about your grades, it becomes 70.495. Therefore, your grade becomes a 70.

It will be lowered vy like one or two percent

i think

[tex]2x-8 - (2x+7)^2\\\\=2x-8 -(4x^2 + 2\cdot 2x \cdot 7 + 7^2)\\\\=2x-8-(4x^2 + 28x +49)\\\\=2x - 8 -4x^2-28x -49\\\\=-4x^2 -26x -57\\\\[/tex]

Explanation:

(I). 5/6 (4X+8) = (3/8) X - (1/4)

→ [{5(4X) + 5(8)}/6] = (3/8)X - (1/4)

→ [{20X + 40}/6] = (3/8)X - (1/4)

→ [{(20X/6) + (40/6) = (3/7)X - (1/4)

Now,

shift all variables fraction on LHS and constant fraction on RHS.

→ [(20X/6) - (3X/7)]= -(1/4) - (40/6)

Take the LCM of LHS denominator of 6&7 is 42.

→ [(140X - 18X)/42] = -(1/4)-(40/6)

→ [(122X)/42] = -(1/4)-(40/6)

Again take the LCM of the denominator in RHS i.e 4&6 is 12.

→ [(122X)/42] = (-12 - 80)/4

→ [(122X)/42] = (-92)/4

By doing Cross multiply the fraction, we get

→ 4(122X) = 42(-92)

→ 488X = -3 864

→ X = -3 864÷488

Therefore, X = -3864/488

Answer: Hence, the value of X for the given problem is -3864:488.

Explanation:

ii)Given algebraic equation is: 5(3p-5)+4p=5p-6(p+4)

→ 15p - 25 + 4p = 5p - 6p + 24

Shift all variables in LHS and constant on RHS.

→ 15p + 4p +6p = 25+24

→ 19p + 6p = 49

→ 25p = 49

Shift the number 25 from LHS to RHS.

Therefore, p = 49/25.

Answer: Hence, the value of P for the given algebraic equation is 49/25.

Answer:

7.00+2.00=9.00

2.00-7.00=5.00

Answer:

1.323 pounds I think I'm not too sure thi sorry

Answer:

1.32 pounds

Step-by-step explanation:

convert 1kg to 1000g

[tex]1000g = 2.2pounds[/tex]

Find out how many pounds per 100g

[tex]100g = 0.22 \: pounds[/tex]

multiply by 6 to get 600g and multiply right hand side of the equation as well

[tex]600g = 0.22 \times 6[/tex]

[tex]600g = 1.32 \: pounds[/tex]

Answer:

given

Step-by-step explanation:

Answer:

statement - reason

BC||AD, <BAD is congruent to <DCB - given

<CBD is congruent to <ADB - alternate interior angles

BD is congruent to BD - reflexive (?)

triangle ADB is congruent to triangle CBD - AAS

AB is congruent to CD - CPCTC (corresponding parts of congruent triangles are congruent)

Answer:

[tex]a)6 = \frac{6}{1} = 6 \: \: \: b)15 - 3 = \frac{15}{3} = 5[/tex]

[tex]-5+\frac{i}{2i} = -5+\frac{1}{2}=-\frac{9}{2} =-4.5[/tex]

ok done. Thank to me :>

Answer:

This is verry easy! Is 105.56,do u need expabation?

[tex]y = x + 4[/tex]

Step-by-step explanation:

Let [tex]P_1(-1, 3)[/tex] and [tex]P_2(0, 4)[/tex] and solve for the slope using the equation

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4 - 3}{0 - (-1)} = 1[/tex]

Therefore, the general slope-intercept form of the equation of the line is

[tex]y = x + b[/tex]

where b is a constant. To solve for it, let's use one of the points. I'll use P2:

[tex]4 = (0) + b \Rightarrow b = 4[/tex]

Therefore, the slope-intercept form of the equation of the line is

[tex]y = x + 4[/tex]

Answer:

I think its vertical opposite angle

Answer:

5/9 yards

Step-by-step explanation:

[tex] \frac{5}{3} \div \frac{3}{1} \\ = \frac{5}{3} \times \frac{1}{3} \\ = \frac{5}{9} [/tex]

Answer:

slope = change over y/change over x

point 1: (-3,-4)

point 2: (2,3)

(-4-3)/(-3-2)=(-7)/(-5)=7/5

y=mx+b -> m=slope, b=y-intercept

y=(7/5)x+b

plug in one of the points

3=(7/5)*2+b

3=14/5+b

b=1/5

slope = 7/5, y-intercept = (0,1/5)

Answer:

81/7 (11.57, 11 4/7)

Step-by-step explanation:

Lets rewrite these mixed fractions

[tex]40\frac{1}{2}=\frac{81}{2}[/tex]

[tex]3\frac{1}{2} =\frac{7}{2}[/tex]

Here we can do divide these two numbers:

[tex]\frac{\frac{81}{2} }{\frac{7}{2} }=\frac{81}{7}[/tex]

The answer therefore is 81/7, or 11.571 (11 4/7)

Answer:

9/35

Step-by-step explanation:

Answer:

9/35

Step-by-step explanation:

ok so find the lcm of 2/5 and 1/7: this is 35

then convert them

2/5 = 14/35

1/7 = 5/35

14/35 - 5/35 is 9/35

Answer:

Step-by-step explanation:

Answer:

1/30

Step-by-step explanation:

Using confidence interval concepts, it is found that Justin is wrong, as his interval is not symmetric about the sample proportion of 0.7.

In this problem, the point estimate is of 0.7.

Hence, Justin is wrong, as his interval is not symmetric about the sample proportion of 0.7.

For more on confidence intervals, you can check https://brainly.com/question/25822483

Answer:

Step-by-step explanation:

11L - 42 = 4L

       7L = 42

         L = 6

Answer:

128 degrees

Step-by-step explanation:

Opposite interior angles