2 mi. yd. I'm confused​

Answer: £23,360

Step-by-step explanation:

You can use algebra to solve this.

Assume that the original investment is x.

In the beginning of 2015 the balance had increased by 2.5% which is denoted as:

= 1.025x

Carol then withdrew a thousand:

= 1.025x - 1,000

This value then increased by 2.5% again by the beginning of 2016:

= 1.025 * (1.025x - 1,000)

Relevant expression therefore is:

1.025 *(1.025x - 1,000) = 23,517.60

1.025x - 1,000 = 23,517.60/1.025

1.025x = ‭22,944‬ + 1,000

x = 23,944/1.025

x = £23,360

Answer:

A. 57 7/9

Step-by-step explanation:

4  1/3 x  3  1/3 = 14  4/9

14 4/9 x 4 = 57 7/9

The values of the variables are;

x = 7

y = -9

From the information given, we have that;

5x−y=44

−3x−y=−12

Using the elimination method of solving simultaneous equations

Subtract equation (2) from equation (1), we get;

5x - y - (-3x - y) = 44 - (-12)

Now, expand the bracket

5x - y+ 3x + y = 56

collect the like terms

5x + 3x = 56

add the terms

8x = 56

Make 'x' the subject of formula

x= 7

Now, substitute the value of x in equation (2)

-3x - y = -12

-3(7) - y = -12

expand the bracket

-21 - y= - 12

collect like terms

-y = 9

y = -9

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Answer:

Step-by-step explanation:

4x+2y<3

y<-2x + \(\frac{3}{2}\)

Answer:

11 /20

Step-by-step explanation:

Step 1- We can't subtract two fractions with different denominators. So you need to get a common denominator.  

So we multiply 3 by 10, and get 30.

Then we multiply 2 by 4, and get 8.

Next we give both terms new denominators -- 4 × 10 = 40.

So now our fractions look like this:

30 /40 −8/40

Step 2- Since our denominators match, we can subtract the numerators.

30 − 8 = 22

So the answer is:

22 /40

Step 3-

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction? Yes we can!

11 /20 is the answer

Answer:

0.55

Step-by-step explanation:

3/4=0.75

2/10=0.2

0.75-0.2=0.55

Answer:

9 Prizes

Step-by-step explanation:

She begins with 420 tickets.

She goes on 2 rides for 75 tickets each so 420-75-75= 270

She then attends the concert for 180 tickets so 270-180= 90

Now she is left with 90 tickets. 10 tickets = 1 prize therefore you can do 90/10 = 9

9 PRIZES

Answer:

yes

Step-by-step explanation:

One is a horizontal line, and the other is a vertical line.

Answer: Yes, if you graph the two lines, they have the negative recipricol of the other answer.

Step-by-step explanation:

The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Using this formula, we can calculate the distances between each pair of consecutive points as follows:

Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards

Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards

Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards

Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards

Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.

The Correct answer is option b. The proportion of this population that lies at or below x=87 is 0.3085.

We can conclude that the proportion of this population that lies at or below x=87 is 0.6915 because the graph shows that the area under the curve to the left of x=87 is 0.3085. However, we cannot conclude that the proportion of this population that lies at or below x=87 is 0.3085 because this statement is contradictory to the information provided in the graph.

The area under the curve to the left of x=87 represents the proportion of the population that lies at or below x=87, so it cannot also be equal to the proportion of the population that lies at or above x=87.

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Step-by-step explanation:

To work out the height of the cuboid, we need to use the formula:

Volume = Length x Width x Height

We have been given the volume and the length, so we can substitute those values into the formula:

540 = 6 x Width x Height

Now we need to convert the width from millimeters to centimeters, so we divide it by 10:

150mm ÷ 10 = 15cm

Substituting this value into the formula:

540 = 6 x 15 x Height

Simplifying:

540 = 90 x Height

Dividing both sides by 90:

6 = Height

Therefore, the height of the cuboid is 6cm.

Answer:

9/41

Step-by-step explanation:

Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side)  which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.

The subsets of the set {e, n, t} are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:

\(2^n\)

The set for this problem is given as follows:

{e, n, t}

The cardinality is given as follows:

n = 3.

Hence the number of subsets is given as follows:

2³ = 8.

The subsets are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

In which {} is the empty set.

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Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

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Answer: the answer is not C

Step-by-step explanation:

The function that represents the combined function is h(x) = 2x/(2x + 3).

where x ∈ all real numbers.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 2x

g(x) = 2x + 3

Now,

h(x) = f(x) / g(x)

h(x) = 2x / (2x + 3)

Where x ∈ all real numbers

Thus,

The combined function is h(x) = 2x / (2x + 3)

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Answer:

$9,167

Step-by-step explanation:

Answer:

it could be 32 if im correct

Step-by-step explanation:

Answer:

32 is correct........

Answer:

Step-by-step explanation:

You can use this information to "guess" at the answers without doing any "work."

__

The missing angle is the complement of the marked acute angle in the right triangle, so is ...

  C = 90° -65° = 25°

This angle is opposite the side of length 8.9 cm. The next-smallest angle is 65°, which is more than double the smallest angle. Hence the side opposite 65° will not be either of 3.8 or 9.8.

Of the two remaining measures, the longer one, 21.1, will be the hypotenuse, BC. The shorter of those, 19.1, will be the long side, AC.

Our solution is ...

__

The mnemonic SOH CAH TOA reminds you of the relations between trig functions and right triangle sides. Here, we're given an angle and the length of its adjacent side. We are asked for the opposite side and for the hypotenuse. This suggests useful relations might be ...

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

Solving the first of these for the hypotenuse gives ...

  hypotenuse = adjacent/cos(65°)

  BC = 8.9 cm/cos(65°) ≈ 21.059 cm ≈ 21.1 cm

Solving the second relation above for the opposite side gives ...

  opposite = adjacent×tan(65°)

  AC = 8.9 cm×tan(65°) ≈ 19.086 cm ≈ 19.1 cm

As above, the missing angle is the complement of the given one:

  C = 90° -65° = 25°

Then the quantitative solution is ...

_____

Additional comment

If AC were 9.8 cm, the angle at B would be about 48°. That is, the two acute angles in the triangle would be very nearly equal.

We know that the side ratios in a 30°-60°-90° right triangle are 1 : √3 : 2. This triangle has a larger angle greater than 60°, so its longer side will be more than √3 times the short side. That means a length of 9.8 cm is way too short.

Answer:

$0.40

I had the same question and it was $0.40

Answer:

$0.55

Got it on the test, hope this helps :)

Answer

The Answer is A C D

Step-by-step explanation:

Answer:

a) [-9,8)

b) [-5,5]

c) (-4,0), (1,6)

d) [-9,-4), (6,8)

e) [0,1]

f) just the y-value: 5;  as a point: (-8,5)

g) just the y-value: -5;  as a point: (-4,-5)

Step-by-step explanation:

a) Domain is all of the x-values that are defined in the function. The smallest x-value in the graph is -9, and the largest is 8. And all values in between are defined (have corresponding y-values). But notice that there's an open dot on (8,0).

b) Range is found the same way as Domain, but with the y-values. The smallest y-value of this function is -5, and the largest is 5.

For c-e, notice where the graph changes direction and draw a vertical line from the x-axis through the turning point. These lines are the boundaries between intervals of increasing/decreasing/constant. You should have vertical lines at x=-4, x=0, x=1, and x=6.

c) Interval(s) on which f(x) is increasing: Reading the graph from Left To Right, between which vertical lines is the graph going up?

d) Interval(s) on which f(x) is decreasing: Reading the graph from Left To Right, between which vertical lines is the graph going down?

e) Interval(s) on which f(x) is constant: Reading the graph from Left To Right, between which vertical lines is the graph staying flat?

f) Look for the highest non-infinity point on the graph

g) Look for the lowest non-infinity point on the graph

Substitute -5 for n into the given inequality 14 > -2n +4.

which is not possible, since 14 = 14. Thus, n = -5 does not satisfy the inequality. Hence it is not a solution.

Answer:

yes

Step-by-step explanation:

Answer:

6.66 minutes to complete one lap.

Step-by-step explanation:

Answer:

No, it is not a right triangle.

Step-by-step explanation:

Let's take it as,

→ Hypotenuse = 28 mm

→ Perpendicular = 25 mm

→ Base = 10 mm

Now use Pythagoras theorem,

→ Hypotenuse² = Perpendicular² + Base²

→ 28² = 25² + 10²

→ 784 = 625 + 100

→ 784 ≠ 725

→ [ LHS ≠ RHS ]

Hence, it does not forms a right triangle.

Step-by-step explanation:

3 is the answer

-7x+12x-6=9

when -6 goes to other side it becomes +6

-7x+12x=9+6

5x=15

when 5x which means 5 multiplied to x . When 5 goes other side it becomes division

x=15÷5=3

x=3

ANSWER:

A.

STEP-BY-STEP EXPLANATION:

We must subtract from the amount that Benjamin ate what his sister ate, like this:

So that's the difference between both, the best way to represent then would be: