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maw [93]
3 years ago
8

Pls Help! Very Easy! 10 points! Brainliest if you are correct!

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
3 0
We can see that the 33 degrees corresponds to angle A (parallel lines) meaning they’re equal.
This means that 33 + 2x = 5x (5x is the exterior angle, so the other two interior angles’ sum must equal to it)
3x = 33
x = 11
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On 1st January 2020, Laurie invests P dollars in an account that pays a nominal annual interest rate of 5.5%, compounded quarter
andrezito [222]

Answer:

1) The common ratio =  1.055

2) The year in which the amount of money in Laurie's account will become double is the year 2032

Step-by-step explanation:

1) The given information are;

The date Laurie made the investment = 1st, January, 2020

The annual interest rate of the investment = 5.5%

Type of interest rate = Compound interest

Therefore, we have;

The value, amount, of the investment after a given number of year, given as follows;

Amount in her account = a, a × (1 + i), a × (1 + i)², a × (1 + i)³, a × (1 + i)ⁿ

Which is in the form of the sum of a geometric progression, Sₙ given as follows;

Sₙ = a + a × r + a × r² + a × r³ + ... + a × rⁿ

Where;

n = The number of years

Therefore, the common ratio = 1 + i = r = 1 + 0.055 = 1.055

The common ratio =  1.055

2) When the money doubles, we have;

2·a = a × rⁿ = a × 1.055ⁿ

2·a = a × 1.055ⁿ

2·a/a = 2 = 1.055ⁿ

2 = 1.055ⁿ

Taking log of both sides gives;

㏒2 = ㏒(1.055ⁿ) = n × ㏒(1.055)

㏒2 = n × ㏒(1.055)

n = ㏒2/(㏒(1.055)) ≈ 12.95

The number of years it will take for the amount of money in Laurie's account to double = n = 12.95 years

Therefore, the year in which the amount of money in Laurie's account will become double = 2020 + 12..95 = 2032.95 which is the year 2032

The year in which the amount of money in Laurie's account will become double = year 2032.

3 0
3 years ago
tia brought a sweater that was discounted for 20% of the original price. She saved $4.60 with the discount. what was the origina
Ivenika [448]
23
This Website helps find percent 
https://percentagecalculator.net/
8 0
3 years ago
Solve for y: 8 = x-y
AnnyKZ [126]

Answer:

The correct answer is:

y= x-8

Step-by-step explanation:

We have the equation: 8 = x-y

By clearing the equation for y (subtracting x both sides of equation) we have:

8 - x = -y (1)

Multiplying (1) by -1

-8+x = y (2)

Re-arranging (2), finally we have:

y= x-8

8 0
3 years ago
Pounds gained by persons in your class during the first month of the semester are an example of which type of data?.
kozerog [31]

Pounds gained by persons in your class during the first month of the semester are an example of: Continuous data.

<h3>What is continuous data?</h3>

Continuous data refers to data types that cannot be counted but can be measured. So, the values of these types of data are obtainable.

Examples of continuous data include the weight, height, and length of people and objects.

So, the pounds gained by persons in your class is an example of continuous data.

Learn more about continuous data here:

brainly.com/question/7717858

8 0
2 years ago
Gabriel is driving 80 kilometers in one hour. How many kilometers does he drive in 1.5 hours
gogolik [260]

Answer:

He drove 120 km

Step-by-step explanation:

We know that 1 hour of driving is equal to 80 km. We need to find out for 1.5 km. First, we need to know how much km for 1/2 of an hour. Which will be 40, because 80/2=40. Then we add up the 40 to the 80, and we get 120 km in total.

5 0
3 years ago
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