which equation can be used to find the length in feet of the ramp, r?

Answer:

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

A = P * (1 + r/n)^(n*t)

where:

A = the amount of money after t years

P = the principal amount (the initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $5000, r = 0.03, n = 12 (since the interest is compounded monthly), and t = 10. Plugging these values into the formula, we get:

A = 5000 * (1 + 0.03/12)^(12*10)

A = 5000 * (1.0025)^120

A ≈ $6,621.36

So the investment will be worth approximately $6,621.36 after 10 years.

Option (B) is correct. Thus, percentage of students with scores between 70 and 130 is 95% .

The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed. The average degree of variability in your data set is represented by the standard deviation.

It reveals the average deviation of each score from the mean. Think about the following data: 2, 1, 3, 2, 4. The average and the total square of the observations' departures from the mean will be 2.4 and 5.2, respectively. This means that √(5.2/5) = 1.01 will be the standard deviation.

Here:

μ = 100, σ = 15

Thus we have

30 μ - kσ = 70

= 100 – k(15) = 70

= k= 30/15 = 2

Also we have, μ + Ασ: = 130

100+ k(15) = 130

k = 30/15 = 2

Now, the percentage of students with scores between 70 and 130 is same as the percentage of students between μ - 2σ, μ+ 2σ  and by empirical rule the area between μ (+-) 2σ  is 95%. Thus, percentage of students with scores between 70 and 130 is 95%

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The value of the n will be 6 from the property of chords.

The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.

Given a circle with two chords,

From the property of the chord:

If two chords intersect in a circle, then the products of the measures of the segments of the chords are equal.

Thus,

(n +4) *7 = (n + 8)*5

7n + 28 = 5n + 40

2n = 40 -28

2n = 12

n = 6

therefore, the value of the n will be 6 from the property of chords.

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Answer:

Step-by-step explanation:

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Answer:

A. 64

Step-by-step explanation:

alright so first we gotta look at that 148 its on a line so the angle on the other side would be

32 because

180-148=32

now we have 2 sides of a triangle and all triangles = 180 so all we have to do is add then subtract

84+32= 116

180-116 = 64

Answer: A. 64

Step-by-step explanation: Sorry if I'm wrong, I also researched it as well and had this question before.

Answer:

c

Step-by-step explanation:

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9514 1404 393

Answer:

  $72.00

Step-by-step explanation:

The relationship between price and tax is ...

  tax amount = (tax rate) × (price)

Then the price can be found by dividing by the tax rate:

  price = (tax amount)/(tax rate)

  price = $3.60 / 0.05 = $72.00

The original price of the chair was $72.00.

__

Bianca apparently did not pay any attention to the way tax is computed. Nor did she check her work. The original price is not a small fraction of the tax. It is the other way around. Bianca used a wrong relationship between tax and price.

The total cash due at signing is $3,700 at the local dealership..

The addition operation in mathematics adds values on each side of the operator.

For example 4 + 2 = 6

The total cash due is calculated as:

Down payment: $1,800

Security deposit: $400

Acquisition fee: $300

Total: $1,800 + $400 + $300

Apply the addition operation, and we get

= $3,700

Thus, the total cash due at signing is $3,700.

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Answer:

70 degrees

Step-by-step explanation:

x = angle

180 - x = it's supplement

90 - x = it's compliment

(180 - x) - 4(90 - x) = 30

180 - x - 360 + 4x = 30

reducing

3x = 210

x = 70

Answer:

4x + (-2) = -2x+6

Step-by-step explanation:

im not gonna explain a diagram but it won't let me submit.

The equation of the line that passes through point (-3,-7) and point (-3,10) is x = -3.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the points through which the line passes: (-3,-7) and (-3,10).

The two given points (-3, -7) and (-3, 10) have the same x-coordinate -3

Hence, the two lines  lie on a vertical line.

since the slope of the vertical line is undefined.

The equation of the line passing through these two points is simply the equation of the vertical line:

x = -3

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Answer:

Step-by-step explanation:

Given sequence:

This is an AP since the difference of terms is common:

The first term is:

Recursive formula for this sequence is:

The explicit formula is:

Substitute the values to get:

Answer:

(2, 4)

Step-by-step explanation:

When plotting points you need to do the x first then the y,

To help you remember the order use the saying OVER AND UP.

For the x-axis is the line going from SIDE to SIDE,

For the y-axis is the line going UP to DOWN,

The Radio City Music Hall x value is 2 and the y value 4.

Therefore your coordinates/ordered pair is (2, 4).

To get one stamp for each envelope and have nine extra, we must purchase one box of envelopes and five packs of stamps.

Let's call the number of packs of envelopes we need to buy "e" and the number of packs of stamps we need to buy “s”.

We know that envelopes come in packs of 6, and we need one envelope for each stamp, so we need 6s envelopes in total. We also know that stamps come in packs of 8, and we need one stamp for each envelope, so we need 8e stamps in total.

We are told that we have  \(9\) stamps left over, which means we have 8e + 9 stamps in total. We also know that we need 6s envelopes in total. Putting these two equations together, we get:

\(8e + 9 = 6s\)

We want to find the least amount of envelopes and stamps we need to buy, so we want to minimize e + s. Let's start by finding some possible values of e and s that satisfy the equation above:

If  \(e = 1\) , then  \(s = 5\) . This gives us a total of 8 envelopes and 40 stamps, which is enough for our needs.

If  \(e = 2\) , then  \(s = 9\) . This gives us a total of 12 envelopes and \(72\)  stamps, which is also enough for our needs.

Since we want to minimize e + s, we choose the first option, where \(e = 1\) and \(s = 5.\)

Therefore, we need to buy 1 pack of envelopes and 5 packs of stamps to get one stamp for each envelope with 9 left over.

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Answer: 7

Step-by-step explanation:

f(x) = y

f(-5) = y

x = -5

find the value of y at x = -5

and the answer is 7

Answer:

its one i think  

Answer:

Here,  more than indicates adding, and products means result of multiplication

Thus,

6* 14+x

NOTE: These questions are to be made into an equation with using a variable. That is what i have done but if the questions states something abt the final result we get then we need to solve for x

Answer: 3

Step-by-step explanation:

The Intel pays $7,760 to Bally Manufacturing on August 14.

The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.

The trade discount of 40% is calculated as follows:

Discount = List price × Discount rate

Discount = $13,100 × 0.40 = $5,240

So the net price of the machinery after the trade discount is:

Net price = List price - Discount

Net price = $13,100 - $5,240 = $7,860

After Intel returns $100 of machinery, the cost of the machinery is further reduced to:

Net price after return = Net price - Return

Net price after return = $7,860 - $100 = $7,760

Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.

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Answer:i think it is yes! this )--89+98

Step-by-step explanation:

Answer: bus B because 47 days out of 50 days is greater than 95%

Step-by-step explanation:

We have the next expression

And we must simplify it

Since each term has is multiplied by the same variable, in this case y. We can add up the the three numbers and multiply the sum by the variable.

So, we would have

Finally, we must simplify the oparations in the parenthesis

ANSWER:

Answer:

12 ounces

Step-by-step explanation:

.17×12=2.04

Answer:

\(secA = 1.3055, sinB = 0.7660 \) (second option)

Step-by-step explanation:

attached

Answer:

The measure of CD is 46

Step-by-step explanation:

From the midpoint theorem, we have,

FG = (1/2)CD

so,

\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)

Now,

\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)

The number of bacteria that weighs 1 gram are,

Determine the number of bacteria in a sample that weighs 21 grams.

So answer is,

The number of ways of selecting 3 items from a total of 7 items, where order does not matter is (a) 35 ways.

The number of ways to choose three items from a group of seven, where order does not matter, is given by the combination formula:

⇒ C(n,r) = n!/(r! × (n-r)!),

where n is = total number of items, and r is = number of items to be chosen,

We have, total items (n) = 7 and items to be selected (r) = 3.

Substituting the values,

We get;

⇒ C(7,3) = 7!/(3! × (7-3)!),

⇒ 7!/(3! × 4!),

⇒ (7 × 6 × 5)/(3 × 2 × 1),

⇒ 35 ways.

Therefore, the correct option is (a).

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Answer:

Volume = 13,364 cm³

Step-by-step explanation:

Volume of the figure = volume of trapezoid prism

Volume of trapezoid prism = area of trapezoid base × length of the prism

= ½(a +b)h × l

Where,

a = 15 cm

b = 37 cm

h = 25.7 cm

l = 20 cm

Substitute

Volume = ½(15 + 37)25.7 × 20

Volume = 13,364 cm³

The answer will be 0. 10 >  0. 01 . Option B

Given the values as;

Turn the values into proper fractions

a. 0. 10 = 10/ 100

Reduce to simpler terms

= 10/ 100

= 1/ 10

b. 0. 01 = 1/ 100

a = 1/ 100

b = 1/ 100

This means that both decimals are not of  equal proportion and thus a is greater than (>) b

Thus, the answer will be 0. 10 >  0. 01 . Option B

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Using the given function, it is found that:

a) 20 insects were discovered.

b) The population after 5 years will be of 417 insects.

As stated in the exercise, it is given by:

\(P(t) = \frac{60(1 + 0.4t)}{0.01t + 3}\)

Item a:

\(P(0) = \frac{60[1 + 0.4(0)]}{0.01(0) + 3} = \frac{60}{3} = 20\)

20 insects were discovered.

Item b:

5 years = 60 months, hence:

\(P(60) = \frac{60[1 + 0.4(60)]}{0.01(60) + 3} \approx 417\)

The population after 5 years will be of 417 insects.

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Answer:

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