The formula for finding the interest on a loan is I = prt. Jack borrows $2,000 for 2 years at a rate of 2%. How much interest will he owe?
9514 1404 393
Answer:
$80
Step-by-step explanation:
You are given the principal amount (p=$2000), the annual interest rate (r=.02), and the time in years (t=2). Put the numbers in the formula and do the arithmetic.
I = prt
I = ($2000)(0.02)(2) = $80
Jack will owe $80 in interest.
0.38 is ten times as much as
Answer:
0.38 is ten times as much as 0.038
The pairs of polygons are similar. Give the scale factor of Figure A to figure B
Answer:
2/5
Step-by-step explanation:
Use two corresponding sides.
In triangle A, look at the side between 1 mark and 2 marks on the angles. Its length is 10.
In triangle B, look at the side between 1 mark and 2 marks on the angles. Its length is 4.
To find the scale factor from A to B, divide a length in B by its corresponding length is A.
4/10 = 2/5
Answer: The scale factor from A to B is 2/5.
Given that Figure A and Figure B are similar polygons, the scale factor of Figure A to Figure B = 5/2.
Recall:
Similar Polygons have corresponding side lengths whose ratio are equal. That is, their pairs of corresponding sides are proportional.The ratio of any of their corresponding side length = scale factorGiven the two pairs of similar polygons, the scale factor of figure A to figure B will be calculated as follows:
A side length of Figure A = 10Corresponding side length of Figure B = 4Scale factor of Figure A to Figure B = 10/4 = 5/2
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(that's a line by the 2 not a 12) PLS HELPP
Answer:
x lessthen or equel to 3/2
Step-by-step explanation:
What expression is equivalent to (13x - 4) - ( 20x - 15)
Answer:
[tex](13x - 4) - ( 20x - 15) \\ = 13x - 4 - 20x + 15 \\ = 11 - 7x[/tex]
The expression -7x + 11 is equivalent to (13x - 4) - ( 20x - 15) option (A) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
= (13x - 4) - ( 20x - 15)
Using the distributive property:
= 13x - 4 - 20x + 15
= -7x + 11
Thus, the expression -7x + 11 is equivalent to (13x - 4) - ( 20x - 15) option (A) is correct.
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How many digits you need to write all 3 digit numbers
Answer: 720
Step-by-step explanation: if what you want are all possible three digit numbers with no repetition of the digits then you have 10 choices for the first digit, you have 9 choices for the 2nd digit, and you have 8 choices for the 3rd digit giving you 10x9x8 = 720 in all.
Equation is y=1.5x+4 find an answer for:
Write an equation in standard form whose line is less steep and translated down 7 units.
Answer:
6x -5y = 15
Step-by-step explanation:
The given line has a slope of 1.5 and a y-intercept of 4. We assume that "translated down 7 units" means the y-intercept needs to be -3. "Less steep" will mean the slope is less than 1.5. We can make the slope be 1.2, so it will be less steep.
Then the slope-intercept form of the desired line is ...
y = 1.2x -3
Adding 3-y, this becomes ...
1.2x -y = 3
Multiplying this by 5 to put it into standard form, we have ...
6x -5y = 15
_____
Additional comment
Since the lines have different slopes, each point on the original line will be translated up or down by a different amount. We chose the y-intercept as the point to be translated by the specified amount. The question could be more clear on that point, as well as whether lines with negative slope (say, -2) are considered to be "less steep."
1/2(10x-6)=4x+10 what is the value of x that makes the equation true?
Answer:
x=13
Step-by-step explanation:
Polly Brennan earns $10.62 per hour for playing guitar at Kaldi’s coffee shop. She works 15.5 hours a week. What is the musician’s straight time pay?
what is 12 1/2% as a fraction in simplest form
Answer:
25/2 I believe
Step-by-step explanation:
Find each product.
Any could please ASAP
Answer:
8x+6
12p^2 -28p
8a^2 -10a
40v+16
12x-6
48x+12
12k+42
42n+36
8k-16
7k^5 +7k^4
20a+30
9p^3 -15p^2
56n^2 +35n
21v^3 +12v^2
20p^2 +8p
36b-6
48n-36
30b-48
42n+6
12x+12
Step-by-step explanation:
I REALLY hope this helps, because the hardest part was trying to go back and forth looking at the question and answering for 20 times ;-;
What is 18 9/11 - 8 3/8
I need help asap
Answer:
10.44318182 or 919/88 or 10 39/88
Step-by-step explanation:
I used my calculator :)
Answer:
Step-by-step explanation:
18 9/11 - 8 3/8
First, we need to convert these fractions to improper fraction,
(18 * 11 + 9 / 11) - (8 * 8 + 3 / 8)
=> 207 / 11 - 67 / 8
Next, we need to find the LCM, the LCM of 8 and 11 = 88 (This is because 8 and 11 share no common factors other than 1, so the LCM will be the product of the 2 numbers)
=> (207 * 8) / (11 * 8) - (67 * 11) / (8 * 11)
=> 1656 / 88 - 737 / 88
So, then we just need to subtract the numerators to get the answer,
=> (1656 - 737) / 88
=> 919 / 88
Now, let us return it to the mixed fraction form,
=> 10 39/88
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Solve.
2x - 1 = 7
0)
A)
X = 2
B)
X = 3
C)
X=4
D)
X = 5
Answer:
x = 4
Step-by-step explanation:
Add 1 to 7 to get 8. Divide 8 by 2 to get 4. The answer is then x = 4
Find the constant rate of change!
Answer: rate of change: increasing by 2
Step-by-step explanation:
divede decimals by a whole number in this question 3.9÷3
Answer:
The answer is 1.3, 1 3/10
Answer:
1.3
Step-by-step explanation:
we divide as if it were normal division. we divide 3 by 3 and get 1 and then we bring our decimal point up and finally divide the 9 by 3 and get the answer of 1.3
6-^12×6^8×6^0 = what and how do I solve this problem
Please Help?
Write 4-6 sentences describing how you can use the form of a quadratic equation to decide how it can most efficiently be solved. For each solution method (factoring, by inspection, taking a square root, completing the square, and the quadratic formula), formulate an equation that would be the most efficiently solved using that approach. Write a comprehensive solution process for each as though you are explaining it to a friend who is struggling with this topic.
I do not need 4-6 sentences, but just need main points so I can form my own sentences.
Answer:
See explanation
Step-by-step explanation:
The place to begin in attempting to solve a quadratic equation is to try to factorize it. If it can not be factorized, then look at the side of equation that contains the variable (x,b,m,n and so on). If that side is a perfect square, try to take square root of both sides.
Also, if the coefficient of the squared term in the equation is 1 and the coefficient of the middle term bearing the variable is an even number, then you can attempt to use completing the square method. Formula method can be adopted as a last resort.
x^2 -4x + 4 =0 can be solved by factorization
X(x-2) - 2(x-2) =0
Hence;
(x-2) (x-2) =0
x= 2 (twice)
(2x-2)^2 = 4 can be solved by taking square root
√[(2x-2)^2] = √4
2x-2 = 2
x= ±2
x^2 + 6x - 11 = 0 can be solved by completing the square
(x + 3)^2 = 11 + 3^2
(x + 3)^2 = 20 taking square root of both sides
x + 3 = ±√20
x + 3 = ±2√5
x= -3 ±2√5
2x^2 - x + 5 = 0 can be solved by formula method
Using
x= -b±√b^2 - 4ac/2a
a= 2, b = -1, c= 5
x= 1 ± √1 - 40/4
x= 1 ± √-39/4
x= 1 ± 39i/4
Simplify: 80 ÷ 4 - 2(2 + 1)²
A. 2
B. 10
C. 162
D. 31
Answer:
D
Step-by-step explanation:
How many pounds does an 10 kilogram object exert on the Earth? (Round to the nearest whole number and do not include units in your answer.) Note: There are 2.205 pounds in a kilogram.
Answer:
22 lb
Step-by-step explanation:
10 kg ⋅ 2.205 lb/1 kg ≈22 lb
What number makes the equation true?
+ 13 = 47
Answer:
x=34
Step-by-step explanation:
Just take 47-13=34
Which are two numbers that multiply to -20 but add to 1
Answer:
-4 and 5
Step-by-step explanation:
(-4)(5)
=-20
(-4)+5
=1
The two numbers that multiply to -20 but add to 1 are 5 and -4.
We have,
To find two numbers that multiply to -20 but add to 1, we can set up a system of equations.
Let's assume the two numbers are x and y.
We can set up the following equations based on the given conditions:
Equation 1: xy = -20 (the numbers multiply to -20)
Equation 2: x + y = 1 (the numbers add to 1)
To solve this system of equations, we can use the substitution or elimination method.
Let's use the substitution method here:
From Equation 2, we can rewrite it as y = 1 - x.
Now substitute this value of y into Equation 1:
x(1 - x) = -20
Expanding the equation:
x - x² = -20
Rearranging the equation:
x² - x - 20 = 0
Now we have a quadratic equation.
We can factor it or use the quadratic formula to find the values of x.
Factoring the quadratic equation, we get:
(x - 5)(x + 4) = 0
Setting each factor equal to zero, we have:
x - 5 = 0 or x + 4 = 0
Solving for x, we get:
x = 5 or x = -4
Now, substitute these values of x back into Equation 2 to find the corresponding values of y:
For x = 5:
y = 1 - x = 1 - 5 = -4
For x = -4:
y = 1 - x = 1 - (-4) = 5
Therefore,
The two numbers that multiply to -20 but add to 1 are 5 and -4.
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Which of the following rational numbers has the smallest absolute value?
-1.5
-4
8
0.5
Answer:
0.5 has the smallest absoulte value
Step-by-step explanation:
To find the absolute value of a number just take off the negative sign and levae the posotive numbers as is.
I’ll mark Brainly! That is if you want it, I put a picture help me out please!
Answer:
a=-4 b=-2 c=-1 d=1 e=2
Step-by-step explanation:
Armando walks around the trail in his neighborhood 4 times. One trip
around the trail is 0.28 mile. How many total miles does Armando walk?
Write an equation and create a model using base-10 blocks to represent
the problem.
I
Equation:
Answer:
1.12
Step-by-step explanation:
.25*4 is 1, then factor in the 0.03 remaining. 0.03*4=0.12 and 1+0.12 is 1.12
In the quadrant you start at (5,2) and move 3 units left and 2 units up.
Answer:
(2,4)
Step-by-step explanation:
Your x-value goes 3 units to the left which is subtracting the value and your y-value is going up by 2 which is adding to your y-value.
There are 8 states in the United States that begin with the letter “M.” If you chose a state at random, what is the probability you get a state that begins with the letter M? What is the probability you don’t get a state that begins with the letter M?
Answer: 8/50
Step-by-step explanation:
simplified is 4/25
All shirts on the clearance rack are 60 percent off if one of the shirts is originally 29.95 how much does it cost
Answer:
11.89
Step-by-step explanation:
29.95-60%=11.89
Plz mark brainlist hope this helps!!!
The length of a rectangle is five inches less than twice its width. If the rectangle has a perimeter
of 80 inches, find the length and width.
I need 2 answers.
Answer:
Hi there!
Your answer is:
width=15
Length=25
Step-by-step explanation:
L=2w-5
P=80
Perimeter formula
L+L+W+W=P
(2w-5)+(2w-5)+w+w=80
6w-10=80
+10
6w=90
/6
w=15
Plug in width in length formula
L=2w-5
2(15)-5
30-5
L=25
Which building is located in Quadrant II?
The mango is considered the "king of fruits" in many parts of the world. Mangoes are generally harvested at the mature green stage and ripen up during the marketing process of transport, storage, and so on. During this process, about 30% of the fruit is wasted. Because of this, the impact of harvest stage and storage conditions on the postharvest quality are of interest. In this experiment, the fruit was harvested at 80, 95, or 110 days after the fruit setting (the transition from flower to fruit) and then stored at temperatures of 20, 30, or 40 degrees centigrade. For each harvest time and storage temperature, a random sample of mangoes was selected, and the time to ripening was measured.
A) What are the factors?
a. harvest time.
b. 20, 30, and 40 degrees centigrade.
c. the nine combinations of the different storage temperatures and harvest times.
d. time to ripening.
e. storage temperature.
f. 80, 95, and 110 days.
B) What are the treatments?
a. 80, 95, and 110 days.
b. 20, 30, and 40 degrees centigrade.
c. harvest time.
d. time to ripening.
e. the nine combinations of the different storage temperatures and harvest times.
f. storage temperature.
C) What are the response variables?
a. 80, 95, and 110 days.
b. storage temperature.
c. the nine combinations of the different storage temperatures and harvest times.
d. 20, 30, and 40 degrees centigrade.
e. harvest time.
f. time to ripening.
Answer:
1. a and e
2. the nine combinations of the different storage temperatures and harvest times.
3. f
Step-by-step explanation:
1. these factors are the explanatory variable. they are what is manipulated in order to know how the experiment would respond.
the answers are a. harvest time and e. storage temperature
2. the nine combinations of the different storage temperatures and harvest times.
3. the response variable is the variable that we are measuring. also called the dependent variable. in this case we want to know the time to which mango ripens. f. time to ripen