Answer:
S.I = $2
Step-by-step explanation:
Given the following data;
Principal = $40
Interest rate = 5%
Time, t = 1
To find the simple interest;
Mathematically, simple interest is calculated using this formula;
[tex] S.I = \frac {PRT}{100} [/tex]
Where;
S.I is simple interest.
P is the principal.
R is the interest rate.
T is the time.
Substituting into the equation, we have;
[tex] S.I = \frac {40*5*1}{100} [/tex]
[tex] S.I = \frac {200}{100} [/tex]
S.I = $2
X^2+9x+7=y standard to vertex form
Answer:
y = (x + 4.5)² - 13.25
Step-by-step explanation:
y = x² + 9x + 7
We need to get a perfectly squared binomial as part of the right side.
Take the '9x' term, divide it in half, square it, add and also subtract it on the right side, as shown below. That would be (4.5)² = 20.25 added and subtracted.
y = x² + 9x + 7
y = x² + 9x + 20.25 + 7 - 20.25
y = (x² + 9x + 20.25) - 13.25
y = (x + 4.5)² - 13.25
y = (x + 4.5)² - 13.25
Vertex Form is y = a(x-h)² + k, where the parabola vertex is (h, k)
So if you wrote this as y = 1(x - [-4.5] )² + (-13.25), we would see that a = 1, and h = -4.5 and k = -13.25.
Vertex = (-4.5, -13.25)
I verified on a graphing calculator that this is indeed the vertex of the parabola.
X+3/4 = x+2 solve the proportion
Answer:
x=3
Step-by-step explanation:
cross multiply 2(x+3)=4x
2x+6=4x
6=2x
x=3
Answer:
x= 5/4
Step-by-step explanation:
x + [tex]\frac{3}{4\\}[/tex] = [tex]\frac{x}{2}[/tex]
- [tex]\frac{3}{4}[/tex] -[tex]\frac{3}{4}[/tex]
X = [tex]\frac{5}{4}[/tex]
If Figure F is rotated 180° and dilated by a factor of , which new figure could be produced?
Hurry please!
Answer:
2nd answer choice :)
Step-by-step explanation:
The new figure produced is given below.
Option C is the correct answer.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object,
We have,
Let the figure be in the first quadrant.
Now,
Rotation of 180-degree means,
The figure will be in the third quadrant.
Now,
Dilation with a factor of 1/2.
This means,
The figure will shrink by 1/2.
Thus,
The new figure is given below.
Learn more about scale factors here:
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3 coins are flipped. let E be the event that at least 2 coins are heads. let F be the event that no heads are flipped. are E and F mutually exclusive? are they independent? Explain
Answer: Yes, they are mutually exclusive. You cannot have 2+ heads and 0 heads at the same time. They are not independent. The result of 2+ heads nullifies the chance that 0 heads are flipped!
evaluate 24. 5 PLS AND THANK YOU!!!
Answer:
80
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
2⁴ · 5
Step 2: Evaluate
Exponents: 16 · 5Multiplication: 80Choose the polynomial that is written in standard form 7x^5+8x^8+27x
Don’t need the answer just couldn’t find the question lol so the answer is 3
Answer: Option d: -3*x^4*y + 2*x^2*y^2 + 5*y^3
Step-by-step explanation:
In standard form, the first term of the polynomial must be the term with the highest degree and on each subsequent term the degree decreases. In the case of two variables, the degree is equal to the sum of the exponents.
Then the correct option is d.
Where the degree of the first term is (4 + 1) = 5
The degree of the second term is (2 + 2) = 4
The degree of the third therm is 3.
We can see that the degree decreases as the term number increases, then the polynomial written in standard form is:
-3*x^4*y + 2*x^2*y^2 + 5*y^3
After filling a gas tank the odometer read 27,8295After the next filling it read 28,1760. It took 17.5 gal to fill the tank How many miles per gallon did the driver get?
Answer:
198 mpg
Step-by-step explanation
28,1760-27,8295 = 3465 miles
3465miles/17.5gal = 198 mpg
Which of the following items are elements of a monthly checking account statement?
I. A period (beginning date and ending date)
II. A beginning balance and ending balance.
III. A detailed list of debits and credits during the period.
a.
I and II
b.
I and III
c.
II and III
d.
I, II and III
Answer:
D.
Step-by-step explanation:
Sana makatulong pag Mali EDI Mali
Question 10 of 12
What is the solution to x + 8 = 19?
A. x = 11
E
B. x = 8
C. x= 16
D. x = 27
SUBMIT
Answer:
x = 11
Step-by-step explanation:
x + 8 = 19 subtract both sides by 8
x = 11
Hey there!
x + 8 = 19
SUBTRACT 8 to BOTH SIDES
x + 8 - 8 = 19 - 8
CANCEL out: 8 - 8 because it give you 0
KEEP: 19 - 8 because it give you the x-value
NEW EQUATION: x = 19 - 8
SIMPLIFY IT!
x = 11
Therefore, your answer is:
x = 11 (Option A)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Need help ASAP !!!
Solve for x WITHOUT trigonometry
Please give me the answer please
Answer:
1/2
Step-by-step explanation:
Find the value of x when 27 - 2x + 1 = 729+ 2x + 3
Answer:
[tex] - 2x - 2x = 729 + 3 - 27 - 1 \\ [/tex]
[tex] - 4x = 704[/tex]
[tex]x = -704 \div 4 = -176[/tex]
Complete the table for the given rule.
Rule: y is 3 less than x
X Y
10
8
6
Answer:
X Y
10 7
8 5
6 3
Step-by-step explanation:
Not much to explain - just put a number 3 smaller than X into column Y
The required table for the given rule can be completed as follows:
X Y
10 7
8 5
6 3
What is the linear relationship?A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.
The rule is given in the question, as follows:
y is 3 less than x
For each value of x in the first column, the corresponding value of y in the second column can be calculated by subtracting 3 from x.
For example, if x is 10, then y is 3 less than x, which is 7 (10 - 3 = 7).
Similarly, if x is 8, then y is 5 (8 - 3 = 5), and if x is 6, then y is 3 (6 - 3 = 3).
The table for the given rule can be completed as follows:
X Y
10 7
8 5
6 3
Learn about the linear relationship here :
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Will someone help me with this??
Answer:
C) -1/4x+2=2x-7
Step-by-step explanation:
-1/4(4)+2=2(4)-7
-1+2=8-7
1=1
Find the quotient and remainder 975 divided by 17
Answer:
975 / 17 = 57 R 6
Step-by-step explanation:
To get a good starting point, let's round these values to "nicer" numbers. 975 is close to 1000, and 17 is close to 20, and 1000 / 20 = 50, so let's start by looking at 17 x 50 and go from there.
There are a few ways to calculate 17 x 50, but here I'm gonna go off what we already know: 20 x 50 = 1000, and 20 - 3 = 17, so 17 x 50 = 20 x 50 - 3 x 50, or 1000 - 150, which is 850. How many more 17s can we fit from 850 to 975? Well, the difference between the two numbers is 125, so finding the quotient of 125 and 17 should be enough: 17 fits into 125 7 times, with 6 remaining.
Altogether then, 975 / 17 has a quotient of 50 + 7 = 57, and a remainder of 6.
Please check my answers!!!!
9514 1404 393
Answer:
linear: blue graph, Table 2, 2x-3y=7, y=-4
nonlinear: red graph, Table 1, Table 3, y=2x^2+4, y=3/x+2
Step-by-step explanation:
It is hard to check answers when you don't know the question. Apparently, there are additional features of the question that are not shown.
__
The equation of the red graph is y=(x+5)³. (nonlinear)
The equation of the blue graph is y=2x-6. (linear)
The equation of Table 1 is y=x². (nonlinear)
The equation of Table 2 is y=2x+4. (linear)
The equation of Table 3 is y=|x|. (nonlinear)
__
You have correctly classified the equations we see. We can't tell if there are more that we don't see.
_____
The tables all have sequential values of x, so the way to tell linear/non-linear is by looking at first differences in the y-values:
Table 1: 4-1 = 3; 9-4 = 5 . . . . different, so non-linear
Table 2: 8-6 =2; 10-8 = 2; others are also 2 . . . . all the same, so linear
Table 3: 1-2 = -1, 0-1 = -1, 1-0 = 1 . . . . different, so non-linear
Olga saves $15 from every paycheck to save up for a new game system that cost $399. Currently, she has $360 saved. Ignoring any taxes on the purchase, how many more paychecks does she have until she has enough money saved to buy the game system?
Answer:
3
Step-by-step explanation:
399-360=39
Mr. Kennedy is making a fire pit for his
backyard. The inside diameter measures 6 feet
in length. What is the inside area of the fire pit
in square feet?
Answer:
Area of pit = 28.28 ft² (Approx)
Step-by-step explanation:
Given:
Diameter of pit = 6 ft
Radius of pit = 6 / 2 = 3 ft
Find:
Area of pit
Computation:
Area of circle = πr²
Area of pit = (22/7)(3)²
Area of pit = 28.28 ft² (Approx)
Math day!,which 2 boxes
Answer:
A and D
Step-by-step explanation:
Can someone please help ?!?
Answer:
the answer would be D
Step-by-step explanation:
sec = 1/cos
Hey sphere has a diameter of 18 inches what is the volume of the sphere
Answer:
V ≈ 3053.63 in
Step-by-step explanation:
find 12 divided by 3/5
Answer:
20
Step-by-step explanation:
Answer:
Step-by-step explanation:
12/(3/5)
12(5/3)
60/3
20
Find mode and median : 19,25,23, 209, 20, 15, 105, 16, 25, 20, 24, 12, 20.
Answer:
The mode is 20 because it is has been seen 3 times and the median is 20 because it is in the middle
Step-by-step explanation:
12, 15, 16, 19, 20, 20, 20, 23, 24, 25, 25, 105, 209
help me please ------
Answer:
what is it asking
Step-by-step explanation:
Find the area of the complex shape I WILL GIVE BRAINLIEST PLZZ HELP MEEEEEEEEEE
48 units squared
20 units squared
32 units squared
52 units squared
Answer:
48 Units squared
Step-by-step explanation:
Its so hard to explain in words
Please helpppp
Thank you
Answer:
B
Step-by-step explanation:
Calculate the initial value:
m= 5
(-3, 6)
Answer:
initial value is 21
Step-by-step explanation:
y=mx+b
6= -3(5) +b
b=21
Help plsssssssssssssssssssssss help me plsssssssssssssssssssssss
Answer:
Step-by-step explanation:
5 and 5
Answer:
the decimal point should be moved 5 places to the right because there are five zeros in 10 with the power of 5
Step-by-step explanation:
50 POINT REWARD!!!!!!!!!!!
Constance is planning to pay for part of her college using a $12,000 student loan. She is comparing the total costs of two loan options. Option A is to borrow the $12,000 for 5 years at 4.75% annual compound interest. Option B is to borrow the $12,000 for 4 years at 5% annual compound interest. Which of the following is closest to the difference in total cost of Option A compared to Option B?
A. $450.00
B. 867.72
C. $529.87
D. $547.84
Answer:
Step-by-step explanation:
[tex]A=P(1+r)^t\\ d=12000((1.0475)^5-(1.05)^4\\ \\ d=\$ 547.84[/tex]
I need some help, anyone with a explanation on how to do this any help is appreciated:)
Answer:
12.6
Step-by-step explanation:
Pythagorean theorem: a^2+b^2=c^2
you are given c & b you have to find a so
c^2-b^2=a^2
196-36=160
take the square root of 160
12.6 is the final answer :)