Ella deposits $8,500 in a savings account. The account pays a simple interest of 4.75%. If she makes no other deposits or withdrawals, how much interest will the account earn in 6 years?

Answer:

Answer:

Option B

Step-by-step explanation:

Given expression in the picture is,

[tex]13a^2-\frac{1}{4}(8a^2-12)+5a[/tex]

[tex]=13a^2-\frac{1}{4}(8a^2)+\frac{12}{4}+5a[/tex] [Distributive law]

[tex]=13a^2-2a^2+3+5a[/tex]

[tex]=11a^2+5a+3[/tex]

Therefore, Option B will be the correct option.

Answer:

9uv⁴

Step-by-step explanation:

9uv⁴(2v-3v+6)

Answer:

Factor out 9uv^4 from the expression

9uv^4(2uv - 3v + 6)

If you need more steps just ask :)

Answer:

Option a, (x-26)x

Step-by-step explanation:

Length is 26 units less than its width, let the length be x, so the width is x+26, so it's area will be their multiplication,

x(x+26)

since the formula to find area is (length×width)

However thing to note, if you assume the width to be x, the the length will be (x-26), so here the area becomes (x-26)x

since here the length is less than width, (x-26)x is the answer we will use.

Answered by GAUTHMATH

Answer:

d. No because n·(1 - [tex]\hat p[/tex]) = 8.96 is less than 10

Step-by-step explanation:

Question options;

a. Yes because the sample sizes of both groups are greater than 5

b. Yes, because in both cases n·[tex]\hat p[/tex] > 10

c. Yes, because we know that the population is evenly distributed

d. No, because the n·(1 - [tex]\hat p[/tex]) is less than 10

Explanation;

The given data are;

The number of men in the sample of men, n₁ = 41

The proportion of men who dislike anchovies, [tex]\hat p_1[/tex] = 0.67

The number of women in the sample of women, n₂ = 56

The proportion of men who dislike anchovies, [tex]\hat p_2[/tex] = 0.84

The assumptions for an analysis of the difference between means using a T-test are;

1) The data should be from a random sample of the population

2) The variables should be approximately normal (n·[tex]\hat p[/tex] ≥ 10, and n·(1 - [tex]\hat p[/tex]) ≥ 10)

3) The scale of the data is a continuous ordinance scale

4) The sample size should be large

5) The sample standard deviations should be approximately equal

From the requirement for normality, we have;

For the sample of men, n₁·[tex]\hat p[/tex]₁  = 41 × 0.67 = 24.47 > 10

n₁·(1 - [tex]\hat p[/tex]₁) = 41 × (1 - 0.67) = 13.53 > 10

For the sample of women, n₂·[tex]\hat p[/tex]₂  = 56 × 0.84 = 47.04 > 10

n₂·(1 - [tex]\hat p[/tex]₂) = 56 × (1 - 0.84) = 8.96 < 10

Therefore, the for n₂·(1 - [tex]\hat p[/tex]₂), the sample does not meet the requirement for normality

The correct option is d. No because n₂·(1 - [tex]\hat p[/tex]₂) = 8.96 is less than 10

Answer:

11 2/3

Step-by-step explanation:

2 1/3 * 5

Change the mixed number to an improper fraction

2 /13 = ( 3*2+1)/3  = 7/3

7/3 * 5/1

35/3

Now change it back to a mixed number

3 goes back into 35 11 times with 2 left over

11 2/3

Answer:

11 2/3

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

7/3 * 5/1  

Applying the fractions formula for multiplication,

7*5 = 35, 3*1= 3  overall= 35/3

Simplifying 35/3, the answer is

= 11 2/3

Answer:

242/48

Step-by-step explanation:

4x+5 0 =110

4x=60

x= 15

Answer:

x = 15

Step-by-step explanation:

∠B = 180 - 110

       = 70 degrees

Since all the angles in a triangle add up to 180 we can solve for x like this:

180 = (3x + 30) + (x+20) + 70

Step 1 : Collect like terms

180 = 4x + 120

Step 2 : Move the terms to isolate 4x

-4x = 120 - 180

-4x = -60

Step 3 : Divide both sides by -4 which gives us:

X = 15

We can check to see if this works

3(15) + 30 = 75

15 + 30 = 35

Add all values up

75 + 35 + 70 = 180 (the sum of all angles in any triangle)

Hope this helps!

Answer:

The rocket hits the gorund after approximately 10.71 seconds.

Step-by-step explanation:

The height of the rocket y in feet x seconds after launch is given by the equation:

[tex]y=-16x^2+165x+69[/tex]

And we want to find the time in which the rocket will hit the ground.

When it hits the ground, its height above ground will be 0. Hence, we can let y = 0 and solve for x:

[tex]0=-16x^2+165x+69[/tex]

We can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = -16, b = 165, and c = 69.

Substitute:

[tex]\displaystyle x=\frac{-165\pm\sqrt{(165)^2-4(-16)(69)}}{2(-16)}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{-165\pm\sqrt{31641}}{-32}=\frac{165\pm\sqrt{31641}}{32}[/tex]

Hence, our solutions are:

[tex]\displaystyle x_1=\frac{165+\sqrt{31641}}{32}\approx 10.71\text{ or } x_2=\frac{165-\sqrt{31641}}{32}\approx-0.40[/tex]

Since time cannot be negative, we can ignore the first answer.

So, the rocket hits the gorund after approximately 10.71 seconds.

Answer:

10.71

Step-by-step explanation:

the person below was correct!

Answer:

D

Step-by-step explanation:

If it is September, then it is my birthday

The converse of the statement "If it is my birthday, then it is September" is If it is September, then it is my birthday option (D) is correct.

A conditional statement with the antecedent and effect reversed is known as a converse statement.

We have a statement:

"If it is my birthday, then it is September"

As per definition, the converse of the statement says antecedent and effect reversed is known as a converse statement.

We can converse the given statement as follows:

If it is September, then it is my birthday.

Thus, the converse of the statement "If it is my birthday, then it is September" is If it is September, then it is my birthday option (D) is correct.

Learn more about the converse of a statement here:

brainly.com/question/18152035

#SPJ2

Answer:

223hjvfcnv5ctdydxrxr hgho8

Answer:

Trangle B and D

Step-by-step explanation:

They look more than 90 degrees

Answer:

$127.75

Step-by-step explanation:

Multiply the cost by the area to find the total cost

Answer:

4 gallons

Step-by-step explanation:

We can write a ratio to solve

95 miles             76 miles

----------------- = -------------

5 gallons            x gallons

Using cross products

95 * x = 5 * 76

Divide each side by 95

x = 5 * 76 / 85

x =4

Answer:

#1

roots

No complex roots

#2

2 complex roots as if we graph it only x intercept we can get rest two roots are not real .

Check the graph

Answer:

[tex] \cos( {x}^{2}y ) = {y}^{2} \\ \frac{d( \cos( {x}^{2}y) ) }{dx} = \frac{d( {y}^{2}) }{dx} \\ (2xy + {x}^{2} \frac{dy}{dx} ).( - \sin( {x}^{2} y) ) = 2y \frac{dy}{dx} \\ \frac{- 2xy \sin( {x}^{2}y ) - {x}^{2} \sin( {x}^{2} y) }{2y} = \frac{dy}{dx} \\ [/tex]

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

╭═══════ღ❦ღ══╮

Os números em notação científica são os seguintes : -

1) 5,000,000,000,000 ⟹ [tex]\boxed{5 × 10^{12}}[/tex]

2) 0,000,007 ⟹ [tex]\boxed{7 × 10^{0}}[/tex]

3) 58,600,000,000,000 ⟹ [tex]\boxed{5.86 × 10^{13}}[/tex]

4) 0,000,005,874 ⟹ [tex]\boxed{5.874 × 10^{3}}[/tex]

╰══ღ❦ღ═══════╯

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# [tex]\large\boxed{RainbowSalt2^{2}2^{2}}[/tex] ღ

Answer: A) (-1, 3)

Step-by-step explanation:

When reflecting across the y-axis the y value of the point stays the same and the x values flips to it's opposite.

The point of A on ΔABC is (1, 3)

The x value is 1. The opposite value of 1 is -1 giving us the coordinates (-1, 3)

Answer:

5km

Step-by-step explanation:

Answer:

The answer is 5

Step-by-step explanation:

Answer:

273.

Step-by-step explanation:

Volume = length x width x height

Volume = 8.4 x 6.5 x 5

Volume = 273

Answer:

35d+ 32 > 25d+68

Step-by-step explanation:

Plan A: $35 a day plus a fee of $32

35d+ 32

Plan B: $25 a day plus a fee of $68

25d+68

We want to know when A costs more than B

35d+ 32 > 25d+68

Answer:

The total work done is approximately 2,114.308 J

Step-by-step explanation:

The mass of the trunk = 35 kg

The height to which the trunk is dragged, d₁ = 10 m

The inclination of the plane on which the trunk is dragged = 12°

The applied force F = 90 N

The angle of inclination of the force to the ramp = 20°

The distance the trunk is dragged horizontally at the top of the ramp, d₂ = 15 m

Work = Force × Distance

The work done along the inclined plane, W₁ = 90 N × cos(20°) × 10 m ≈ 845.723 J

The work done along the horizontal, W₂ = 90 N × cos(20°) × 15 m ≈ 1,268.585 J

The total work done, W = W₁ + W₂

∴ W = 845.723 J + 1,268.585 J = 2,114.308 J

Answer:

1 3/8

[tex]SOLUTION[/tex]

[tex]add \: \frac{1}{2} + \frac{1}{4} + \frac{5}{8} [/tex]

[tex] = \frac{4 + 2 + 5}{8} [/tex]

[tex] = \frac{11}{8} [/tex]

=1 3/8

I hope it helps

have a great day

[tex]#Liliflim[/tex]

Answer:

[tex] \displaystyle 1\frac{3}{8} [/tex]

Step-by-step explanation:

first thing I guess we missed a plus sign or whatsoever

[tex] \displaystyle \frac{1}{2} + \frac{1}{4} + \frac{5}{8} [/tex]

when we add different fraction the step is to find the LCM of the denominator therefore,

[tex] \displaystyle \text{LCM}(2,4,8)[/tex]

[tex] \displaystyle = 8[/tex]

now the second step is to divide the LCM by the denominator and multiply it by the numerator which yields:

[tex] \displaystyle \frac{4 + 2 + 5}{8}[/tex]

and the final step is

simplify addition:

[tex] \displaystyle \frac{11}{8}[/tex]

convert it to mixed fraction which yields

[tex] \displaystyle 1\frac{3}{8} [/tex]

and we are done!

Answer:

A (5,4)

B (5,3)

C (6, 3)

D (2,0)

E (2,1)

Step-by-step explanation:

If the figure is rotated about the origin by 90 degrees, then the values of the co-ordinates of all the vertices will be as follows -

A (5,4)

B (5,3)

C (6, 3)

D (2,0)

E (2,1)

Answer:

9 of each

Step-by-step explanation:

9 x 10= 90

9 x 5= 45

9 x 1= 9

90 + 45 + 9= 144, now add a decimal

Answer:

[tex] {y}^{2} + \frac{4}{y} = 2 \\ {y}^{3} + 4 = 2y \\ {y}^{3} - 2y + 4 = 0 \\ y = - 2, \: \: \: \: 1 + i[/tex]

Answer:

45

Step-by-step explanation:

45-5= 40

40*2= 80

Answer:

1

Step-by-step explanation:

4^0

Any number raised to the 0 power is 1.

Answer:

1

Step-by-step explanation:

Anything raised to  0  is  1.

Here's an explanation! :)

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m - n)}[/tex] , then

(a)

[tex]\frac{x^{7} }{x^{3} }[/tex] = [tex]x^{(7-3)}[/tex] = [tex]x^{4}[/tex]

(b)

[tex]\frac{y^{5} }{y^{4} }[/tex] = [tex]y^{(5-4)}[/tex] = [tex]y^{1}[/tex] = y