5(4x-4)+2(13-5x)-3(3x+4)=-3 solve the equation. heLP

on the first of january 2014, carol invested some money in a bank account. The account pays 2.5% interest per year. On the first

almond37 [142]

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

8 0

3 years ago

Multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E. A random sample of the correct choic

Semenov [28]

Answer:

Option B is not the most common correct choice.

Step-by-step explanation:

The multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E.

The probability that any of these five option is the correct answer is:

$p=\frac{1}{5}=0.20$

A random sample of 400 multiple-choice questions on Advanced Placement exam are selected.

The results showed that 90 of the 400 questions having B as the answer.

To test the hypothesis that option B is more likely the correct answer for most question, the hypothesis can be defined as:

H₀: All the options are equally probable, i.e. p = 0.20.

Hₐ: Option B is more likely the correct option, i.e. p > 0.20.

Compute the sample proportion as follows:

$\hat p=\frac{90}{400}=0.225$

The test statistic is:

$z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.225-0.20}{\sqrt{\frac{0.20(1-0.20)}{400}}}= 1.25$

The test statistic is 1.25.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the p-value as follows:

$p-value=P(Z>1.25)\\=1-P(Z$

*Use a z-table.

The p-value is 0.1057.

The p-value of the test is quite large. Thus, the null hypothesis was failed to rejected.

Hence, it can be concluded that option B is not the most common correct choice.

7 0

3 years ago

Click on file! please help, thank you!! <3

Elden [556K]

15+3x-4+6x= 9x+11 add 6+3 then subtract 15-4

3y-4x+8x-y= 4x+2y add -4+8 then subtract 3-1

5x+8x+10x-3x= 20x Add 10+5+8 to get 23 then subtract 3

7 0

2 years ago

A fountain in the park has two circular pools that are the same size. What is the total area of the pools if the radius is 3 yar

mihalych1998 [28]

Answer:

56.6 square yards.

Step-by-step explanation:

Given:

A fountain in the park has two circular pools that are the same size.

Question asked:

What is the total area of the pools if the radius is 3 yards ?

Solution:

First of all we will calculate the area of a circular pool.

As we know:

$Area\ of\ circle=\pi r^{2}$

$=\frac{22}{7} \times(3)^{2} \\ \\ =\frac{22}{7}\times9\\ \\ =\frac{198}{7} \\ \\ =28.28\ square\ yards$

Area of circular pool nearest tenth = 28.3 square yards

Now, as given that both pools are of same size.

Total area of the pools = 28.3 square yards + 28.3 square yards

= 56.6 square yards.

Thus, the total area of the pools are 56.6 square yards.

5 0

3 years ago

Read 2 more answers

6. y = -3x + 2 y = -3x - 7

Mkey [24]

Answer:

No Solution.

Step-by-step explanation:

y=-3x+2

y=-3x-7

------------

-3x+2=-3x-7

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

-3x+3x+2=-7

2=-7

no solution

8 0

3 years ago