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3 years ago

Help plz if you help u get 50 points

Mathematics

1 answer:

ohaa [14]3 years ago

3 0

Answer:

He has $1,123.60 by the end of 2 years

Step-by-step explanation:

The equation used to find the total amount is A = P(1 + r)^n

A is the total amount (what we need to find)

P is the principal amount (It is the $1,000)

r is the rate (It is 6%, or 0.06)

n is the years the investment lasts (It is 2)

We get the equation:

A = $1,000(1 + 6%)^2, or A = 1000(1 + 0.06)^2

Simplify to get:

A = 1000(1.06)^2. Since 1.06^2 = 1.1236 it becomes:

A = 1000(1.1236). Since 1000 * 1.1236 = 1123.6

So, A = 1123.6. He gets $1,123.60

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Given g(x)=|-3x+16|, if g(x)=18, find x.

LenaWriter [7]

Answer:

x = - $\frac{2}{3}$ , x = $\frac{34}{3}$

Step-by-step explanation:

The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is

- 3x + 16 = 18 or -(- 3x + 16) = 18

Solving

- 3x + 16 = 18 ( subtract 16 from both sides )

- 3x = 2 ( divide both sides by - 3 )

x = - $\frac{2}{3}$

-(- 3x + 16) = 18

3x - 16 = 18 ( add 16 to both sides )

3x = 34 ( divide both sides by 3 )

x = $\frac{34}{4}$

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

| - 3(- $\frac{2}{3}$ ) + 16 | = | 2 + 16 | = | 18 | = 18 ← True

| - 3( $\frac{34}{3}$ ) + 16 | = | - 34 + 16 | = | - 18 | = 18 ← True

Thus x = - $\frac{2}{3}$ and x = $\frac{34}{3}$ are the solutions

8 0

3 years ago

Read 2 more answers

Write a function that models each variation.

Leno4ka [110]

Answer:

z = 2.7x/r²y

Step-by-step explanation:

z = kx/r²y

½ = k × ⅓ ÷ (3² × ⅕)

½ = ⅓k × 5/9

k = 27/10 = 2.7

z = 27x/10r²y

z = 2.7x/r²y

7 0

3 years ago

Ten engineering schools in the United States were surveyed. The sample contained 250 electrical engineers, 80 being women; 175 c

steposvetlana [31]

Answer:

There is a significant difference between the two proportions.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for difference between population proportions is:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

Compute the sample proportions as follows:

$\hat p_{1}=\frac{80}{250}=0.32\\\\\hat p_{2}=\frac{40}{175}=0.23$

The critical value of <em>z</em> for 90% confidence interval is:

$z_{0.10/2}=z_{0.05}=1.645$

Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering as follows:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

$=(0.32-0.23)\pm 1.645\times\sqrt{\frac{0.32(1-0.32)}{250}+\frac{0.23(1-0.23)}{175}}\\\\=0.09\pm 0.0714\\\\=(0.0186, 0.1614)\\\\\approx (0.02, 0.16)$

There will be no difference between the two proportions if the 90% confidence interval consists of 0.

But the 90% confidence interval does not consists of 0.

Thus, there is a significant difference between the two proportions.

4 0

3 years ago

Can someone tell me if these answers are right or not? These problems are getting on my nerves!

Bond [772]

1a. 3^1 / 3^2 = 3^1-2 = 3^-1 = 1/3^1 = 1/3.
2b. 4^2 / 4^4 = 4^2-4 = 4^-2 = 1/4^2.
3c. 6^3/6^5 = 6^3-5 = 6^-2 = 1/6^2.
4d. 3^-5 • 3^2 = 3^-10 = 1/3^10.

I believe for the last question its asking only to rewrite exponent as a positive exponent similar to the first question.

6 0

3 years ago

PLEASE HELP!!

MAVERICK [17]

Answer:

43°

Step-by-step explanation:

Calculating for the measure of angle C using

$\frac{sin18}{9} = \frac{sinc}{20} \\ sinc = \frac{sin18 \times 20}{9} \\ sinc = 0.6867 \\ c = \csc(0.6867) \\ c = 43.3869 \\ c = 43 \: degrees$

6 0

2 years ago