0162A 7750 5.64EF Justify Conclusions Wheelchair ramps for access to public buildings are allowed a maximum of one inch of vertical increase for every one foot of horizontal distance. Would a ramp that is 10 feet long and 8 inches tall meet this guideline? Explain your reasoning to a .

We can use the formula for compound interest to solve this problem:

A = P(1 + r/n)^(nt)

where A is the amount of money in the account after t years, P is the principal (the initial amount deposited), r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

We want to find the amount of money that needs to be deposited now (P) in order to have $3000 in the account after 10 years, so we can rearrange the formula to solve for P:

P = A / (1 + r/n)^(nt)

Plugging in the given values, we get:

P = 3000 / (1 + 0.08/4)^(4*10)

P = 3000 / 2.208756...

P = $1358.39 (rounded to the nearest cent)

Therefore, you would need to deposit $1358.39 in the account now in order to have $3000 in the account in 10 years at an 8% interest rate compounded quarterly.

*IG: whis.sama_ent*

Answer:

1 tama 2Mali 3 Mali 4 tama 5 mali

Answer: y=2/3x-2

Step-by-step explanation:

Slope intercept form is: y=mx+b

m=slope

b= y-intercept

slope is 2/3

A matrix such that T(x) =Ax is \(Ax = \left[\begin{array}{ccc}-3&7\\5&-2\end{array}\right]\).

What is a matrix?

A matrix is a rectangular array or table with numbers or other objects arranged in rows and columns. Matrices is the plural version of matrix. The number of columns and rows is unlimited. Matrix operations include addition, scalar multiplication, multiplication, transposition, and many others.

The matrix is \(x = \left[\begin{array}{ccc}x_1\\x_2\end{array}\right]\), \(v_1= \left[\begin{array}{ccc}-3\\5\end{array}\right]\) and \(v_2 = \left[\begin{array}{ccc}7\\-2\end{array}\right]\).

The linear transformation is R² → R².

T is defined by the vector equation -

T(x) = x1v1 + x2v2

Substitute the values in the equation -

T(x) = \(x_1 \left[\begin{array}{ccc}-3\\5\end{array}\right] + x_2 \left[\begin{array}{ccc}7\\-2\end{array}\right]\)

A vector equation like this can be rewritten as a matrix equation Ax where the columns of A are just v1 and v2 -

\(Ax = \left[\begin{array}{ccc}v_1&v_2\end{array}\right]\)

Substitute the values in the matrix -

\(Ax = \left[\begin{array}{ccc}-3&7\\5&-2\end{array}\right]\)

Therefore, the matrix obtained is \(Ax = \left[\begin{array}{ccc}-3&7\\5&-2\end{array}\right]\).

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Answer:

No it's not unusual

Step-by-step explanation:

That's an unusual definition for unusual if you don't mind me saying so.

There are 4 sixes in a standard deck of cards without the jokers. There are 52 cards in that deck

4/52 = 0.077

This is greater than 0.05 so it is not unusual.

Let's add the 2 jokers and see what happens.

4/54 = 0.074

That's still not going to get the situation defined as unusual.

The height of the right circular cylinder with volume of 500π cubic centimetre and radius of 5 centimetre is 20 cm.

volume = πr²h

where

Therefore,

volume = 500π cm³

r = 5 cm

Therefore,

volume of the cylinder = πr²h

500π = 5²πh

500π = 25πh

divide both sides by 25π

500π / 25π = 25πh / 25π

h = 20 cm

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Answer:

A) 20 cm

Step-by-step explanation:

ANSWER

D. y = [x] - 2

EXPLANATION

In the graph, we can see that when x = 2 unitl x = 3, the value of the function is 0. Hence, the value of the function is given by the value of x minus 2. The equation is y = [x] - 2.

Step-by-step explanation:

set 3 no is ,x _ I ,x,x+1

X-1 + x + x + I = 84

3 X = 84

X= 84/ 3

X= 2 8

largest no is 29

The original dimensions of the piece of metal were 15 inches by 20 inches.

To solve this problem, we can use the given information to set up an equation. Let's assume that the width of the rectangular piece of metal is x inches. According to the problem, the length of the piece of metal is 5 inches longer than its width, so the length would be (x+5) inches.

When squares with sides 1 inch long are cut from the four corners, the width and length of the resulting box will be reduced by 2 inches each. Therefore, the width of the box will be (x-2) inches and the length will be ((x+5)-2) inches, which simplifies to (x+3) inches.

The height of the box will be 1 inch since the flaps are folded upward.
Now, let's calculate the volume of the box using the formula Volume = length * width * height.

Substituting the values, we have:

234 = (x+3)(x-2)(1)

Simplifying the equation, we get:

234 = x^2 + x - 6

Rearranging the equation, we have:

x^2 + x - 240 = 0

Now, we can solve this quadratic equation either by factoring or by using the quadratic formula. Let's use factoring to find the values of x.

Factoring the equation, we have:
(x+16)(x-15) = 0
Setting each factor equal to zero, we get:
x+16 = 0 or x-15 = 0
Solving for x, we have:
x = -16 or x = 15
Since the width cannot be negative, we take x = 15 as the valid solution.
Therefore, the original dimensions of the piece of metal were 15 inches in width and (15+5) = 20 inches in length.

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Answer:

4+5/2

9/2= 4.5

Step-by-step explanation:

Answer:

$4.00

Step-by-step explanation:

the median is the middle term in a sequence

since there are an even number of terms and not an obvious median, we take the two middle terms, add them together, and divide by two

So, 5+3= 8

8÷2= 4

hope this helps chu

The blanks that are missing in the sequence are -3 and 11

from the question, we have the following parameters that can be used in our computation:

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

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The length of the ladder as described in the task content is; 28.93 feet.

It follows from the task content that the length of the ladder which the electrician leans against the wall of the house is to be determined.

By observation, it follows that the ladder, the 26 feet wall and the distance between the foot of the ladder and the house all form a right triangle.

Hence, the hypothenuse is; length, l of the ladder while the opposite side of the angle is; 26 feet.

Therefore, by trigonometric ratios;

Sin (64) = 26/l

l = 26/sin (64)

l = 28.93.

The length of the ladder is therefore; 28.93 feet.

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Answer:

24

Step-by-step explanation:

i did was times -6 by -4

negative times negative equals positive

-6*-4 = 24

then divide to see if its true

24 ÷ -6 = -4

The inequalities which satisfy the number line shown is x>2 and x>=2.

We are given that;

The number line showing inequality

Now,

x>2 satisfies the equation by the given number line

x>=2 satisfies the equation by the given number line

x<=-3 does not satisfies the equation by the given number line

x<=-3 does not satisfies the equation by the given number line

Therefore, by the number line the answer will be x>2 and x>=2 .

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Answer:

Step-by-step explanation:

To find the annual rate given the rate per compounding period, we need to convert the rate from the compounding period to the annual period. In this case, the rate is given as 0.425% per month.

One way to convert the rate is to multiply it by the number of compounding periods in a year:

r = 0.425%/month * 12 months/year

r = 5.1%/year

Therefore, the annual rate, r, is 5.1%.

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

v = 0.625 m/s

Step-by-step explanation:

Given that,

Total distance is 750 m

Logan swan 750 m in 1/3 hours

His swimming partner, Mila, swam 2/3 of Logan's distance in 1/4 hours.

Note: We need to find Logan's average swimming speed.

Average speed = total distance/total time taken

\(v=\dfrac{750\ m}{\dfrac{1}{3}\times 3600\ s}\\\\v=0.625\ m/s\)

So, Logan's average speed is 0.625 m/s.

Answer:

C & D because there’s no numbers to calculate anything.

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

x<3

Step-by-step explanation:

\( - 2(5 - 4x) < 6x - 4 \\ - 10 + 8x < 6x - 4 \\ 8x - 6x < - 4 + 10 \\ 2x < 6 \\ x < 3\)

Answer:

y = 2666.67

Step-by-step explanation:

Well to solve this we can make a system of equations.

x = cost of car alone

y = cost of accesories,

\(\left \{ {{x+y=24000} \atop {x=8y}} \right.\)

So now we plug in 8y for x in x + y = 24000.

(8y) + y = 24000

9y = 24000

Divide both sides by 9

y = 2666.666666

or 2666.67 rounded to the nearest hundredth.

Now that we have y we can plug that in for y in x=8y.

x = 8(2.666.67)

x = 21,333.33 rounded to the nearest hundredth.

Thus,

accessories "y" cost around 2666.67.

Hope this helps :)

Answer:

the answer is c 24 square meters

Answer: one senior ticket is $8 and one student ticket is $14

Hope this helps a little

Answer:

x < - 4

Step-by-step explanation:

Draw a number line and find -4 then graph it

The quotient of  10⁻⁴/10² is 10⁻⁶

Quotient is the result obtained by dividing one quantity by another. It represents the value that is obtained after division.

For example, if you divide 20 by 2, the quotient is 10 because 20 divided by 2 equals 10.

Division law states that:

10ᵃ / 10ᵇ = 10ᵃ⁻ᵇ

In this case have:

10⁻⁴/10² = 10⁻⁴⁻²   (Division law)

10⁻⁴/10² = 10⁻⁶

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Answer:

x = 12

Step-by-step explanation:

We use the Alternate Interior Angles Theorem to help us solve for missing degree x.

Step 1: Set up equation

m∠2 = m∠3

35° = (4x - 13)°

Step 2: Solve for x

35 + 13 = 4x - 13 + 13

48 = 4x

48/4 = 4x/4

12 = x

x = 12

Answer:

Step-by-step explanation:

A=bh

  \(=25\times15\)

  \(=375cm^2\)

Answer:

92% Confidence Interval = [8.515, 8.605]

Step-by-step explanation:

The number of samples given is 15,this less than 30, hence, we use the t score confidence Interval

= Mean ± t score × Standard deviation/√n

Mean = 8.56 ounces

Standard deviation = 0.09 ounces

n = 15

We find the degrees of freedom = n - 1

= 15 - 1 = 14

Using the T score table

T score for 92% confidence interval with degrees of freedom 14

= 1.8875

Hence:

Confidence Interval =

= 8.56 ± 1.8875 × 0.09/√15

= 8.56 ± 0.0454010035

Confidence Interval

8.56 - 0.0454010035

= 8.5145989965

≈ 8.515

8.56 + 0.0454010035

= 8.6054010035

≈ 8.605

92% Confidence Interval = [8.515, 8.605]