What is 140 rounded to the nearest tenth of a percent

Behind my math class help pls

vladimir2022 [97]

Answer:

Please check the explanation.

Step-by-step explanation:

Part a)

Given that the two parallel lines are crossed by a transversal line.

Given that

m∠2 = 2x + 54 and m∠6 = 6x - 11

Angle ∠2 and ∠6 are corresponding angles.

Corresponding angles are congruent.

Thus,

m∠2 = m∠6

2x + 54 = 6x - 11

flipe the equation

6x - 11 = 2x + 54

subtract 2x from both sides

6x - 2x - 11 = 2x - 2x + 54

4x - 11 = 54

adding 11 to both sides

4x - 11 + 11 = 54 + 11

4x = 65

dvide both sides by 4

4x/4 = 65/4

x = 16.2500 (round to 4 decimal places)

Part b)

We have already determined

x = 16.2500

Given

m∠2 = 2x + 54

substitute x = 16.2500 in the euation

= 2(16.2500) + 54

= 86.5°

As angle ∠2 and angle ∠1 lie on a straight line. Hence, the sum of their angles must be 180°.

i.e.

m∠1 + m∠2 = 180°

substituting m∠2 = 86.5° in the equation

m∠1 + 86.5° = 180°

subtracting 86.5° from both sides

m∠1 + 86.5° - 86.5° = 180° - 86.5°

m∠1 = 93.5°

Therefore, the measure of angle m∠1 is:

m∠1 = 93.5°

4 0

3 years ago

Natalie has $5000 and decides to put her money in the bank in an account that has a 10% interest rate that is compounded continu

kakasveta [241]

Step-by-step explanation:

Natalie has $5000

She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.

Part a) What type of exponential model is Natalie’s situation?

Answer:

As Natalie's situation implies

continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.

So, it requires the more generalized version of the principal calculation formula such as:

$P\left(t\right)=P_0\times \left[1+\left(i\:/\:n\right)\right]^{\left(n\:\times \:\:t\right)}$

or

$P\left(t\right)=P_0\times \left[1+\left(\frac{i}{n}\:\right)\right]^{\left(n\:\times \:\:t\right)}$

Here,

$i$ = interest rate

= number of compounding periods

$t$ = time period in years

Part b) Write the model equation for Natalie’s situation?

For continuous compounding the number of compounding periods, $n$ , becomes infinitely large.

Therefore, the formula as we discussed above would become:

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

Part c) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₂ $=\:6107.02$ $

So, Natalie will have $\:6107.02$ $ after 2 years.

Part d) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₁₀ $=13.597.50$ $

So, Natalie will have $13.597.50$ $ after 10 years.

Keywords: word problem, interest

Learn more about compound interest from brainly.com/question/6869962

#learnwithBrainly

5 0

3 years ago

What percent is equal to .64

Rzqust [24]

Answer:

64%

Step-by-step explanation:

.64 is equal to 64%

In order to convert move the decimal over two spaces and add a percent sign (%).

Move the decimal 0.64 to 64 and add percent sign 64%.

6 0

3 years ago

Read 2 more answers

Please help!

lana66690 [7]

Answer:

see explanation

Step-by-step explanation:

Given the recursive formula

$a_{n}$ = $\frac{1}{2}$ $a_{n-1}$ with a₁ = 1, then

a₂ = $\frac{1}{2}$ a₁ = $\frac{1}{2}$ × 1 = $\frac{1}{2}$

a₃ = $\frac{1}{2}$ a₂ = $\frac{1}{2}$ × $\frac{1}{2}$ = $\frac{1}{4}$

6 0

3 years ago

Any of y'all understand how do do any of this?

Luda [366]

Answer:

10.) 12 + 3i

11.) 3 - i

A math conjugate is formed by changing the sign between two terms in a binomial. For instance, the conjugate of x + y is x - y. We can also say that x + y is a conjugate of x - y.

12.) x² - 8x + 17 = 0

Let's solve your equation step-by-step.

x² − 8x + 17 = 0

Step 1: Use quadratic formula with a=1, b=-8, c=17.

x= −b±√b2−4ac / 2a

x= −(−8) ± √(−8)2−4(1)(17) / 2(1)

x= 8 ± √−4 / 2

There are no real solutions.

13.) x²- 8x + 17 = 0

Let's solve your equation step-by-step.

x² − 8x + 17 = 0

Step 1: Use quadratic formula with a=1, b=-8, c=17.

x= −b ± √b2−4ac / 2a

x= −(−8) ± √(−8)2−4(1)(17) / 2(1)

x= 8 ± √−4 / 2

There are no real solutions.

Step-by-step explanation:

To solve a quadratic equation by factoring,

Put all terms on one side of the equal sign, leaving zero on the other side.

Factor.

Set each factor equal to zero.

Solve each of these equations.

Check by inserting your answer in the original equation

I hope this helps!

lmk if u have any questions

brainliest is appreciated... :3

4 0

4 years ago