Two business partners decided to borrow $30,000 start-up money for their business. One borrowed a certain amount at a 16.5% interest rate and the other one borrowed the rest of the money at a 12.5% interest rate. How much money did each business partner borrow if the total interest amount at the end of the year was $4150?

Answer:

Step-by-step explanation:

Let's assume the first business partner borrowed x dollars and the second partner borrowed (30000 - x) dollars.

The interest earned by the first partner at a rate of 16.5% is (x * 0.165), and the interest earned by the second partner at a rate of 12.5% is ((30000 - x) * 0.125).

According to the given information, the total interest earned by both partners is $4150. So, we can write the equation:

(x * 0.165) + ((30000 - x) * 0.125) = 4150

Now, let's solve this equation to find the values of x.

0.165x + 0.125(30000 - x) = 4150

0.165x + 3750 - 0.125x = 4150

0.04x = 400

x = 400 / 0.04

x = 10000

Therefore, the first business partner borrowed $10,000 at a 16.5% interest rate, and the second partner borrowed (30000 - 10000) = $20,000 at a 12.5% interest rate.

Let's call the amount borrowed by the business partner at 16.5% "x" and the amount borrowed by the other business partner "y".

We know that the total amount borrowed is $30,000, so:

x + y = $30,000

We also know that the interest earned by the first business partner is 16.5% of x, and the interest earned by the second business partner is 12.5% of y.

So the total interest earned for the year is:

0.165x + 0.125y = $4150

We now have two equations with two unknowns, which we can solve for x and y.

First, let's isolate one of the variables in the first equation:

x = $30,000 - y

Now we can substitute this expression for x into the second equation:

0.165($30,000 - y) + 0.125y = $4150

0.165($30,000 - y) + 0.125y = $4150

$4,950 - 0.165y + 0.125y = $4150

Combine like terms:

-0.04y = $4150 - $4,950

-0.04y = -$800

Divide both sides by -0.04 to isolate y:

y = -$800 / -0.04

y = $20,000

Now that we have the value of y, we can substitute it back into the first equation to find x:

x + $20,000 = $30,000

x = $30,000 - $20,000

x = $10,000

So, the amount borrowed by the first business partner is $10,000, and the amount borrowed by the second business partner is $20,000.

Find the value of x, Problem is below. Solve correctly for brainiest and 5 stars!

A portion of the graph of f(x) = −x2 + 6x − 5 is shown. Which of the following describes all solutions for f(x)? a partial parabola opening down and passing through 1 comma 0 and 5 comma zero with endpoints at 0 comma negative 5 and 6 comma negative 5
(x, y) for all real numbers
(x, −x2 + 6x − 5) where 0 ≤ x ≤ 6
(x, −x2 + 6x − 5) where 1 ≤ x ≤ 5
(x, y) where 1 ≤ x ≤ 5

The grocery store is mile from Katie’s house and the gas station is 0.5 mile from Katie’s house.
Which comparison of these distances is both true and correctly justified?
A. Because 0.5 < , the gas station is closer than the grocery store.
B. Because 0.5 < , the grocery store is closer than the gas station.
C. Because < 0.5, the gas station is closer than the grocery store.
D. Because < 0.5, the grocery store is closer than the gas station.

PLZ HELP MEEEEEEEEEEEEEEEEEEEEEEE

Can someone help me
Question 1 (5 points)
Saved
(06.01 LC)
The value of 33 + 42 = ___. (5 points)

Question 1 options:
17
Question 2 (5 points)
Saved
(06.01 MC)

What is the value of the expression shown below?

7 + (2 + 6) 2 ÷ 4 ⋅ (5 points)

Question 2 options:

1)

23


2)

18


3)

9


4)

8

Question 3 (5 points)
Saved
(06.02 LC)
Which expression represents the product of 8 and y? (5 points)

Question 3 options:

1)

8 + y

2)

8y

3)

8 − y

4)


Question 4 (5 points)
Saved
(06.02 LC)
What best describes the expression ? (5 points)

Question 4 options:

1)

3 more than some number

2)

Some number times 3

3)

Some number divided by 3

4)

3 less than some number
Question 5 (5 points)
(06.03 LC)
What is the constant term in the expression 8xy + 9x2 y − 5x − 2? (5 points)

Question 5 options:

1)

−5

2)

−2

3)

8

4)

9
Question 6 (5 points)
(06.03 MC)
Which of the following best describes the expression 5(x + 2)? (5 points)

Question 6 options:

1)

The sum of constant factors 5 and x + 2

2)

The product of constant factors 5 and x + 2

3)

The sum of a constant factor 5 and a 2-term factor x + 2

4)

The product of a constant factor 5 and a 2-term factor x + 2
Question 7 (5 points)
(06.04 LC)
If s = unit and A = 12s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.) (5 points)

Question 7 options:
Question 8 (5 points)
(06.04 MC)
The equation below shows the total volume (V), in cubic units, of 5 identical boxes with each side equal to s units:

V = 5s3

If s = 1.4 units, what is the value of V? (5 points)

Question 8 options:

1)

13.72 cubic units

2)

19.21 cubic units

3)

21 cubic units

4)

25 cubic units
Question 9 (5 points)
(06.06 LC)

Which expression is equal to a + (b + c)? (5 points)

Question 9 options:

1)

(a + b) + c


2)

(a + b) ⋅ c


3)

a + bc


4)

b + ac

Question 10 (5 points)
(06.06 MC)
A student attempted to generate an equivalent expression using the distributive property, as shown below:

2(x + 5) = 2x + 5

What was the mistake made? (5 points)

Question 10 options:

1)

2 was not multiplied by x

2)

2 was not multiplied by 5

3)

Incorrect sign was used for the first term

4)

Incorrect sign was used for the second term
Question 11 (5 points)
(06.07 LC)
Which expression is equivalent to 6p + 6p? (5 points)

Question 11 options:

1)

12p

2)

36p

3)

12 + 2p

4)

p6
Question 12 (5 points)
(06.07 MC)
Four expressions are shown below:

4(8x + 2)
4(7x + 3)
32x + 8
28x + 12
Which two expressions are equivalent to 4(7x + 2 + x)? (5 points)

Question 12 options:

1)

A and B

2)

B and C

3)

A and D

4)

A and C

hi hope everyone is doing well but can some pls help me with these
use inverse operations to solve :
X-5=15 X=?
X/5=15 X=?
5X=15 X=?
X+5=15 X=?
X-6=10 X=?

PLS HELP ILL GUVE BRIANLIEST!

PLZZZ help with this its pretty simple!

Please help, very much appreciated.

PLZZZZZZZZZZZ help me with this

Coach Riley asked 35 students to count the number of push-ups they completed during class. The results are displayed in the box plot.
He then asked them to complete 4 more by the end of class.

Which of the following statements is TRUE about a new plot with the altered data?
A - The range will Increase by 4 units

B - The median will be greater than 46.

C - The plot will be translated 3 units to the right.

D - The interquartile range will be 4 times larger.

To graph the point (2, 10) on the coordinate plane, start at the origin. Move 2 units _______ and 10 units ________ . 40 points

plz help go to link and the question is there

A dolphin is at -28 feet. It swims up and jumps to a height of 8 feet. Write a subtraction expression for the vertical distance the dolphin travels.

Brandi earned $7 babysitting and $12 cleaning
out the garage. Write two equivalent expressions using the
Commutative Property that can be used to find the total amount
she earned.

The post office is 0.15 mile from Abdul’s house. His school is 3/8 mile from the post office.
If Abdul stops at the post office on his way to school, how far will Abdul walk in all?
A. 0.15 mile
B. 0.225 mile
C. 0.375 mile
D. 0.525 mile

According to its packaging, the circular base of a table lamp has a circumference of 50.24 centimeters. What is the lamp base's radius?

100 points on this question
Please help

The stem-and-leaf plot shown below has no mode. True False

Which of these is NOT A REASON the South was opposed to tariffs?

A. It was a way to limit slavery
B. the South was forced to buy manufactured goods from the North
C. Texas could buy imported items at a cheaper price than from Northern factories
D. Because it was a basically a tax on imported goods

please help me i am stuck on this math question please show work

Is this correct?? if not pls tell me the correct answer

Use the picture were it says a, b, c, d those are the steps

Carli’s class built some solar-powered robots. They raced the robots in the parking lot of the school. The graphs below are all line segments that show the distance d, in meters, that each of three robots traveled after t seconds.
1) Each graph has a point labeled. What does the point tell you about how far that robot has traveled?
Robot A:d =
Robot B:d =
Robot C:d =
2) Carli said that the ratio between the number of seconds each robot travels and the number of meters it has traveled is constant. Is she correct? Explain in detail.
3) How fast is each robot traveling? How did you compute this from the graph?
Robot A:
Robot B:
Robot C:

Dont send me pdfs or links please answer correctly for brainliest
Determine whether each sample is unbiased with complete sentences.

1. The population is every person living in the town of Greenblueville.

A. Sample: All people who signed up to participate in a survey at the courthouse.

B. Sample: Every person in the town is put onto a list in order of youngest to oldest. Every 101st person is chosen.

C. Sample: All names are written on pieces of paper and dropped into a container. Three hundred names are drawn.

D. Sample: Every person who enters the local gas station on Wednesday between the hours of 1 and 3pm is used in the sample.

Select the correct answer.
What is the missing side length in this right triangle?



A.
15
B.
21
C.
225
D.
441

A plumber has a 2-meter length of pipe. He needs to cut it into sections that are 10 centimeters long. How many sections will he be able to cut? (I will give brainliest if you answer first)

(File attached) Show how you got the answer for brainliest

I NEED HELP FAST! find the surface area of the composite figure.

The area of triangle ABC is __ square units.