investment A save £160 per month for 2 years. 2.5% interest is added to the total amount saved. Investment B invest £3800. Compound interest is added at 3% each year

Answer:

10 pair of soccer shorts.

Step-by-step explanation:

Let the unknown be x.

Translating the word problem into an algebraic equation, we have;

2/5 yard = 1 pair of short

4 yard = x pair of short

Cross-multiplying, we have;

2x/5 = 4

Multiplying both sides by 5, we have;

2x = 20

x = 20/2

x = 10 pair of soccer shorts.

Answer:

$51.10

Step-by-step explanation:

First, find 20% of $35, then add the sale price of the jeans and the two t-shirts. Take the total and find the sales tax and add that onto the cost.

100 - 20 = 80 If you multiply the jeans by 80% it gives you the price for the jeans saving you from having to subtract the discount from the original price.

35 * 0.80 =  $28.00 jeans                     28.00                             47.98

                                                                  9.99                             + 3.12

                                                             +   9.99                            $51.10

                                                                47.98

                                                           X   0.065

                                                                 $3.12

△CBE ≅△CDE

Answer:

Definitely not!

Step-by-step explanation:

It was reflected across the x axis, resized and moved in x and y directions, but since the shape ABCD is symmetrical across the y axis, a reflection across y axis won’t change anything!

Answer:

A = 2,3

B = -4,-1

C = 3,0

D = -5,4

E = 1,-6

F = 0,-4

Answer:

y = 5/2x - 5

Step-by-step explanation:

y-int = -5

slope = 5/2

rise/run

alright my friend i've gotta go but i think you can solve these on your own.

just use the number that's on the Y vertical line to find y-int

and then use 2 points and count up to find the rise and then count across to fine thet run.

use the formula y=mx+b

good luck my friend <3

Answer:

Step-by-step explanation:

(0,-5) (4,5)

(5+5)/(4-0)= 10/4 = 5/2

y + 5 = 5/2(x - 0)

y + 5 = 5/2x - 0

y = 5/2x - 5

Answer:

The wing of the dragonfly was 9.65 cm longer than that of the fly, 102% larger in percentage terms.

Step-by-step explanation:

Since the length of the wing of the old dragonfly was 19.5 cm, while the length of the wing of a common fly is 9.85 cm, to determine how long the dragonfly's wing was compared to that of the fly, the following must be done calculations:

19.5 - 9.85 = X

9.65 = X

Thus, the wing of the dragonfly was 9.65 cm longer than that of the fly. In turn, in terms of percentages, the result is the following:

9.65 = 100

19.5 = X

19.5 x 100 / 9.65 = X

1950 / 9.65 = X

202 = X

Thus, in percentage terms, the dragonfly's wing was 102% larger than that of the current fly.

Answer:

w = 7.7 units; x = 44°

Step-by-step explanation:

Answer:

2800m2

12345667888888

Answer:

400m squared

Step-by-step explanation:

so a square has 4 EVEN sides.. 16 divide 4 is 4 just add the zeros..

Answer:

Option D- 100 ft 2

Step-by-step explanation:

Area = h x b

      =  12.5 x 8 = 100 ft 2

I hope im right!!!

Answer:

9(2+2p)

9 x2 + 9 x 2p

18 +18p

Answer:

y - 9 = -5(x + 4)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

Step-by-step explanation:

Step 1: Define

Slope m = -5

Coordinate (-4, 9) → x₁ = -4, y₁ = 9

Step 2: Write Function

Substitute into general form.

y - 9 = -5(x - -4)

y - 9 = -5(x + 4)

Answer:

Top left: a is negative and p is positive

Step-by-step explanation:

The formula y = ax + p is referring to the formula y = mx + b where m is the slope and b is the y-intercept.

Since the line is going down, the slope is negative-- a is negative.

Since the line crosses the y-axis above the origin, the y-intercept is positive-- p is positive.

Answer:

a is negative and p is positive

Step-by-step explanation:

The equation y = ax + p is written in slope-intercept form, where a is the slope and p is the y-intercept.

When a slope is negative, the line goes down the further right it goes.

The line on the graph lowers as it moves right, which means that the slope(a) is negative.

The line intercepts the y-axis above the origin, which means that it must be positive.

Answer:

a. 0.0124 = 1.24% probability of stopping the manufacturing when the sample mean is 16 inches.

b. 0.0241 = 2.41% probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.

c. 0.5 = 50% probability of not disturbing the manufacturing if mean shifts to 16.25 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

Assume that the standard deviation of diameter of the rims is 0.3 inches. Samples of 9.

This means that [tex]\sigma = 0.3, n = 9, s = \frac{0.3}{\sqrt{9}} = 0.1[/tex]

a. Calculate the probability of stopping the manufacturing when the sample mean is 16 inches.

Here we have [tex]\mu = 16[/tex]

Higher than 16.25:

This is 1 subtracted by the pvalue of Z when X = 16.25. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{16.25 - 16}{0.1}[/tex]

[tex]Z = 2.5[/tex]

[tex]Z = 2.5[/tex] has a pvalue of 0.9938

1 - 0.9938 = 0.0062

Lower than 15.75:

This is the pvalue of Z when X = 15.75. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{15.75 - 16}{0.1}[/tex]

[tex]Z = -2.5[/tex]

[tex]Z = -2.5[/tex] has a pvalue of 0.0062

Probability of stopping:

2*0.0062 = 0.0124

0.0124 = 1.24% probability of stopping the manufacturing when the sample mean is 16 inches.

b. Calculate the probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.

Here we have [tex]\mu = 16.05[/tex]

Higher than 16.25:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{16.25 - 16.05}{0.1}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

1 - 0.9772 = 0.0228

Lower than 15.75:

This is the pvalue of Z when X = 15.75. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{15.75 - 16.05}{0.1}[/tex]

[tex]Z = -3[/tex]

[tex]Z = -3[/tex] has a pvalue of 0.0013

Probability of stopping:

0.0228 + 0.0013 = 0.0241

0.0241 = 2.41% probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.

c. Calculate the probability of not disturbing the manufacturing if mean shifts to 16.25 inches.

Between 16.25 and 15.75 with [tex]\mu = 16.25[/tex]. This is the pvalue of Z when X = 16.25 subtracted by the pvalue of Z when X = 15.75.

X = 16.25

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{16.25 - 16.25}{0.1}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

X = 15.75

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{15.75 - 16.25}{0.1}[/tex]

[tex]Z = -5[/tex]

[tex]Z = -5[/tex] has a pvalue of 0

0.5 - 0 = 0.5

0.5 = 50% probability of not disturbing the manufacturing if mean shifts to 16.25 inches.

Its an acute triangle by angles.

Its a NONE by sides.

Answer:

Step-by-step explanation:

The perimeter of a square is four times a side. We are told a side equals 3x+5 so

P=4S

P=4(3x+5)

P=12x+20

Answer:58 approximately c

Step-by-step explanation:

Answer:

[tex]Weekly\ Salary = \$469[/tex]

Step-by-step explanation:

Given

[tex]Current = \$412.00[/tex] --- weekly

[tex]NEw = \$24.388.00[/tex] --- annually

Required

Determine her new weekly salary

To do this, we simply divide her salary by 52 (the number of weeks).

So, we have:

[tex]Weekly\ Salary = \frac{\$24,388.00}{52}[/tex]

[tex]Weekly\ Salary = \$469[/tex]

Her weekly salary is $469

Answer:

a triangle with side measurements of 5, 5, and 5 inches​

Step-by-step explanation:

I took the test.

Construction of triangle with side measurement 2 inch, 3 inch, 5 inch is not possible.

This theorem simply states that the sum of two sides of a triangle must be greater than the third side. If this is true for all three combinations, then you will have a valid triangle.

If triangle has the sides, a ,  b and c then

a + b > c

b + c > a

a + c > b

Given length of the sides,

a)  Triangle made with sides having length 3 inch, 4 inch, 6 inch.

3 + 4 > 6 ; 4 + 6 > 3 ; 3 + 6 > 4

= 7 > 6 ; 10 > 3 ; 9 > 4

Triangle inequality theorem is satisfied, hence triangle construction is possible

b)  Triangle made with sides having length 2 inch, 3 inch, 5 inch.

2 + 3 > 5 ; 3 + 5 > 2 ; 2 + 5 > 3

= 5 = 5 ; 8 > 3 ; 7 > 3

Triangle inequality theorem is not satisfied, hence triangle construction is not possible

a)  Triangle made with sides having length 3 inch, 3 inch, 4 inch.

3 + 3 > 4 ; 3 + 4 > 3 ; 3 + 4 > 3

= 6 > 4 ; 7 > 3 ; 7 > 3

Triangle inequality theorem is satisfied, hence triangle construction is possible

a)  Triangle made with sides having length 5 inch, 5 inch, 5 inch.

5 + 5 > 5 ; 5 + 5 > 5  ; 5 + 5 > 5

= 10 > 5 ; 10 > 5 ; 10 > 5

Triangle inequality theorem is satisfied, hence triangle construction is possible.

Hence, Triangle with side measurements of 2 inch , 3 inch , and 5 inch is not possible to construct.

Learn more about triangle inequality theorem here:

https://brainly.com/question/30066983

#SPJ6

Step-by-step explanation:

[tex] = - 14x + 12[/tex]

[tex] = - 2 \times 7x + ( - 2) \times 6[/tex]

[tex] = - 2(7x - 6)[/tex]

No Option Solution.

Answer:

=18

Step-by-step explanation:

5-4=1

1x4=4

4+14=18

hope it helped

Answer:

3

Step-by-step explanation:

I'm going to solve this step by step:

Given: w=x(v_2 - v_1)

          w/x=v_2-v_1

          v_2=w/x+v_1

[tex] \tt \dashrightarrow w = x(v_2 - v_1) [/tex]

[tex] \tt \dashrightarrow \dfrac{w}{x} = v_2 - v_1[/tex]

[tex] \tt \dashrightarrow \dfrac{w}{x} + v_1= v_2[/tex]

[tex] \tt \dashrightarrow v_2 = \dfrac{w}{x} + v_1[/tex]

[tex] \large \underline{\boxed{\bf{v_2 = \dfrac{w}{x} + v_1}}}[/tex]

Hence, value of [tex] \tt v_2 = \dfrac{w}{x} + v_1[/tex]

Answer:

30 grapes, because there are half as many meaning grapes have twice the amount of the pears present

Answer: 5,000,000 - 4,000 - 300 or  5,004,300

Step-by-step explanation:

5,004,300 = 5,004,300.0

Left shift 6 times to largest digit = 5.004300

5.004300 (show the shift multiplier: 10^6)

5.004300*10^6

Answer:

5004300

Step-by-step explanation:

Answer:

21

Step-by-step explanation: