Laura borrowed a total of $21,000 from two different banks to start a business. One bank charged the equivalent of 5% simple interest, and the other charged
6.5% interest. If the total interest after 3 years was $3240, determine the amount borrowed from each bank.
Let x represent the principal on the business loan at 5%.
Then, (ID is
he
remaining amount borrowed at 6.5%
X
The amount borrowed from the first and second bank is 19000 and 2000 respectively.
Recall :
Simple interest = P×R×T
Total principal, P = 21000
Bank 1 :
Let, Principal, P = x
Rate, R = 5%
Time, T = 3
Bank 2 :
Principal, P = (21000 - x)
Rate, R = 6.5%
Time, T = 3
Total interest paid = 3240
Bank A interest + Bank B interest = total interest paid
[x × 5% × 3] + [(21000-x) × 6.5% × 3)] = 3240
0.15x + 4095 - 0.195x = 3240
-0.045x = 3240 - 4095
-0.045x = - 855
x = 19000
Hence,
19000 was borrowed from Bank 1
(21000 - 19000) = 2000 was borrowed from bank 2
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please help if you can :)
Answer:
v=-14.4
Step-by-step explanation:
Isolate v.
add - 3.1 to the other side
-7.9+3.1=-4.8
Now the problem is: -4.8 = v/3
Next, multiply both sides by 3
-4.8 times 3 = -14.4
v = -14.4
Answer:
-14.4
Step-by-step explanation:
-7.9 = -3.1 + (v/3)
- 4.8 = v/3
v = -14.4
What are the modes of the following sets of numbers?
a. 3, 13, 6, 8, 10, 5, 6
Answer:
13
Step-by-step explanation:
I think it's helping you....
corey paid for a dinner and left a 15% or $3.45 in tips. How much was the original bill without counting the tip?
Answer:
19.55 $
Step-by-step explanation:
3.45$×10=34.5=150% of his money overall
34.5÷3=11.5
11.5×2=23= 100% of his money
23-15%=19.55$
$23
Step-by-step explanation:
15% of x = 3.45
= 15/100 = 3.45/x
x= 23
Which function below has the following domain and range?
Answer:
The first choice.
Step-by-step explanation:
Domain = x value (first value in a coordinate pair: (x,y))
Range = y value
A function cannot have a repeating Domain value.
This eliminates the last option since -4 is used twice.
The second option has 11 as a y value but it is not in the range.
The third option has 10 as an x value but it is not in the domain.
What exactly is Maths? And why do we die from maths? Please answer... This is a serious question though.
Answer:
it's because if you know maths you can go very far like being successful and have a chance for ur career or dreamMath is the the abstract science of number, quantity, and space. Mathematics may be studied in its own right ( pure mathematics ), or as it is applied to other disciplines such as physics and engineering. You can D1E from math if its just too hard...
(1.) Find the equation of the line passing through the points (-4,-6 ) and (-5,5).
(2.) Find the equation of the line with slope -8 that passes through the point (3, -8).
Answer:
1) y=-11x-50 2)y=-8x+16
Step-by-step explanation:
1. y=mx+b- it is the main equation for a line'
If we take the first point and use its coordinates we have -6=-4m+b
If we take the second point and use its coordinates we have 5=5m+b
These equations are simultaneous for our line because the line passes through both points
-6=-4m+b
5=-5m+b
If subtract the second one from the first equation
-6-5= -4m+b- (-5m+b)
-11= m
b= -6-44=-50
y=-11x-50
2) y=mx+b
-8=-8*3+b
b=16
y=-8x+16
!Can some1 help! !Help FAST!
What is the algebraic expression for the word phrase "4 times a number minus 9"?
A. 4(y-9)
B. 4y-9
C. 4(9-y)
D. 9-4y
Answer:
4y-9
Step-by-step explanation:
y is the number, 4 times the number = 4y
so 4y-9
The set of all two − digit numbers whose leading digit is greater than the units digit and the sum of the digits is 10.
Answer:
64
73
82
91
Step-by-step explanation:
All the two digit numbers with the sum of 10
19
28
37
46
55
64
73
82
91
The numbers whose leading digit is greater than the units digit is:
64
73
82
91
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
1:
GUVUGUVU
Sally and Billy solved the following equation:
10 - 3 x 2 +(7-4)
1) Which student did the steps in the correct order and got the correct answer?
2) Why is it important for everyone to use the same order of operations?
Sally
Billy
Step 1: Subraction 10 - 3-7
Step 2 Multiplication 7x2 14
Step 1: Parentheses (7-4) - 3
Step 2: Multiplication 3 x 2 - 6
Step 3: Subtraction 10 -6 = 4
Step 3: Addition 14+ 7 = 21
Step 4 Subtraction 21 - 4 = 17
Step 4: Addition 4+3 = 7
Final Answer: 17
Final Answer 7
which is not a whole number “8, -10, 0, 18/3”?
Answer:
-10 I guess its this maybe
3n-(2+n) what’s the value of n to make the expression equal to 6
Answer:
4
Step-by-step explanation:
3n-(2+n) = 6
3n-2-n = 6
2n-2 = 6
2n = 8
n = 4
Answer:
n=4
Step-by-step explanation:
Start by writing the equation without parenthesis. Since there is a negative sign, everything in the parenthesis changes sign: 3n-2-n=6
Combine like terms: 2n-2=6
move -2 to the other side: 2n=8
divide both sides by 2: n=4
caterpillar crawls 25 inches in one minute. How many inches does it crawl in 5 minutes?
Answer:
125 inches
Step-by-step explanation:
In one minute caterpillar crawls 25 inches. So in 5 minutes we have 5 times 25 inches is 125 inches.
By equation
Additional: 25 + 25 + 25 + 25 + 25 = 125 (inches)
Mutiplication: 25 * 5 = 125 (inches)
The caterpillar crawls 125 inches in 5 minutes
because it is said that the caterpillar crawls 25 inches in one minute so we can use multiplication 25 x 5 = 125
In a survey of small business owners, a response to which of the following questions would be qualitative?
a. How much did your business have in profits last year?
b. How long have you owned a business?
c. What type of business do you own?
d. How many businesses do you own?
For the considered survey, the questions whose response is going to be qualitative is given by: Option C: "What type of business do you own?"
What is qualitative data?
Qualitative data tells about the quality or characteristic. It is tough to express it numerically or not at all expressible numerically. They are usually catagorical.
In contrast, there is quantitative data which can be expressed numerically.
Option A, Option B and Option D will get answers which would be in numbers. Thus, their responses would be quantitative.
Option C's question will get response as type of business that the business owners own. So its not in numbers and tells about the characteristic of businesses.
Thus, for the considered survey, the questions whose response is going to be qualitative is given by: Option C: "What type of business do you own?"
Learn more about qualitative and quantitative data here:
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in a class of 7 students there are 4 that play soccer.
if the teacher picks 3 students what is the probability that none of them play soccer
Answer:
Step-by-step explanation:
The total number of ways to draw 3 students is 7*6*5 = 210
Order does not matter. There are 3 students that don't play soccer.
P(3 don't play soccer) = 3*2 * 1 / 210 = 1/35 = 0.02857
Multiple 8x^8(-6x^3+5x^2+5x)
Answer:
First, start by applying the distributive law property to the given equation:
8x^8(-6x^3+5x^2+5x)
So, it'll go like this --> x (a + b + c) = xa + xb + xc
After you have the equation in this form you will then simplify.
See the steps below for better understanding.
(the answer is highlighted in red)
HURRY WILL GIVE BRANLIEST!!!!!!!
Answer:
√17
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a ratio of two integers. Or in other words, an irrational number can't be expressed as a fraction. You really cant divide one integer by another integer to get √17, so that makes it an irrational number.
4(x^(2)-6)-3x(x+5) simplify
Step-by-step explanation:
I think that ×3x²-7x-6 is the answers
There are □ terms in the sequence 1000,2000, 3000, 4000, ...., 500000
Answer:
500
Brainliest, please!
Step-by-step explanation:
We are adding 1000 each time.
500000/1000 = 500
Answer:
Step-by-step explanation:
[tex]Number\ of\ terms\ =\dfrac{500000-1000}{2000-1000} +1\\\\=\dfrac{499000}{1000} +1\\\\=499+1\\\\=500\\[/tex]
what is the range of this function ??? please explain
Answer:
B. (2, 3, 4)
Step-by-step explanation:
The range of a function is the list of y values. In this instance, the y values present in this function are 2, 3, and 4. Therefore, the answer is B. (2, 3, 4).
(8)/(r+2)+(8)/(r-2)=3
Answer:
- 2/3, 6
Step-by-step explanation:
What are the values of x and y
Answer:
x=10.39,y=9
Step-by-step explanation:
steps are in the picture
The second term of arithematic proggresions 7. and the sum of the first four termd is 12 find
a) first term
b)common difference
Answer:
a) a1=15 first term
b) d=-8 common difference
Step-by-step explanation:
1)a1+d=7
2)a1+a2+a3+a4=12
a1+a1+d+a1+2d+a1+3d=12
4a1+6d=12
2a1+3d=6
We have the system of equations where a1+d=7 and 2a1+3d=6
3a1+3d=21
2a1+3d=6
Subtract the second equation from the first one
a1=15
d=-8
First term = 15
Common difference = -8
Let the first term be a and common difference be d.
Therefore,
a+d = 7 - eq. 1
a+(a+d)+(a+2d)+(a+3d) = 12 - eq. 2
4a + 6d = 12
4a + 4d + 2d = 12
Dividing both sides by 2,
2a + 2d + d = 6
2 (a+d) + d = 6
Substituting value of (a+d) in the above equation,
2*7 + d = 6
d = 6 - 14
d = -8
Substuting value of d in eq. 1
a+d = 7
a + (-8) = 7
a = 7 + 8
a = 15
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Can I have some help, please?
Answer:
[tex]-3(t+1)(8t-3)[/tex]
Step-by-step explanation:
First, factor both the denominators completely:
[tex]9-24t\\= 3(3-8t)\\= 3(-8t+3)\\= -3(8t-3)[/tex]
[tex]8t^2+5t-3\\= 8t^2+8t-3t-3\\= 8t(t+1)-3(t+1)\\= (8t-3)(t+1)[/tex]
Now, we can see that the factors of the first denominator are -3 and 8t-3.
The factors of the second denominator are t+1 and 8t-3.
To find the LCD, multiply all of these factors together:
[tex]-3(t+1)(8t-3)[/tex]
Notice how we only multiply 8t-3 in the equation once. This is because it was present in both denominators, unlike the other factors.
I hope this helps!
The following data points represent the number of police calls that were made last year in each of the cities in Hogdon County.
Sort the data from least to greatest.
363, 311, 276, 222, 253, 235, 244
Find the median number of calls.
??? calls
Help please :)
The median number of calls is 235.
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
Given;
The data;363, 311, 276, 222, 253, 235, 244
Now to find the median arrangement will be
222,235,244,253,276,311,363
Therefore, the median will be 253
Learn more about mean and median;
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Question 9 What is the predecessor of - 5?
Question 11. Write the following integers in their increasing order. - 3,0,- 6,5, – 4, 6, 3, -8
Question 15. Find the sum of the following integers: (a) (-8) + (+ 5) + (-3) + (-2) (B) (- 7) + (- 9) + (+4) + (+3)
Step-by-step explanation:
1) -4
2) -8, -6, -4, -3, 0, 3, 5
3) (a) -8 + 5 - 3 - 2
-13 + 5
-8
(b) -7 - 9 + 4 + 3
-7 - 9 + 7
-9
What is an equation of the line that passes through the points (8,-5) and (8, –2)?
Slope Formula (Between 2 points)
[tex] \displaystyle \large{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
Let these be the following:
[tex] \displaystyle \large{(x_1,y_1 )= (8, - 5)} \\ \displaystyle \large{(x_2,y_2 )= (8 ,- 2)} [/tex]
Substitute these points in.
[tex] \displaystyle \large{m = \frac{ - 2 - ( - 5)}{8 - 8} } \\ \displaystyle \large{m = \frac{ - 2 + 5}{0} }[/tex]
Since the denominator is 0. The slope is undefined. However, we can still find the equation of a line but not in y-isolated form.
Since for all y-values give same x-values. This means that the line will always pass at (8,y) where y is set of real numbers.
The line has to be vertical since a x-value can export many y-values.
Hence, the equation of a line would be x = 8
Find the value of X
10
X
Answer:
x = 10.
Step-by-step explanation:
the length of the two sides are the same so x must equal 10. hope this helps
Answer:
x = 10
Step-by-step explanation:
The triangle is isosceles so the two angles in red are equivalent.
This also means that the sides measuring 10 and x are equivalent.
10 = x
x = 10
What is the area of BCD?
A. 36 square units
B. 32 square units
C. 16 square units
D. 72 square units
Answer:
36
Step-by-step explanation:
The length is 12, and the height is 6
A = 1/2 * b*h
So area = 1/2 * 72 = 36
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
an advertising company charges $40 per half page advertisement and $75 per full page advertisement, Michaeld has a budge of $800 to purchase 13 advertisements.
a) Define a variable for each unknown. write a system of equations to represent the situation.
b) How many half -page advertisements does Michael purchase? show your work.
c) How many full-page advertisement does Michael purchase? show your work.