Answer:
y=2x+1
Step-by-step explanation:
there's nothing to show, sorry
ask me if you have question
If paul puts 300 dollars in a saving account that earns 3% interest how much interest will he earn after 2 years?
Answer:
[tex] \boxed{18 \: dollars}[/tex]Step-by-step explanation:
Principal ( P ) = $ 300
Rate ( R ) = 3%
Time ( T ) = 2 years
Now, let's find the simple Interest:
I = [tex] \mathsf {\frac{PTR}{100} }[/tex]
[tex] \mathsf{ = \frac{300 \times 2 \times 3}{100} }[/tex]
[tex] \mathsf{ = \frac{1800}{100} }[/tex]
[tex] \mathsf{ = 18}[/tex]
Extra information:
Simple Interest
In our daily life when we borrow a sum of money either from a moneylender or from any financial company, we have to pay the money back by adding with extra sum of money. This borrowed money is called principal. The extra money to be paid for the borrowing money is called interest , which is paid after certain duration in certain rate. At last, the borrowed money should be paid back along with interest which is called amount.
Interest is based on three factors : Principal ( P ) , Rate of interest ( R ) and Time ( T ). While computing the interest, the rate must be in percent and time in years.
[tex] \mathsf{ \: simple \: interest \: = \frac{PTR}{100} }[/tex]
On simplifying
[tex] \mathsf{p = \frac{I \times 100}{T \times R} }[/tex]
[tex] \mathsf{t = \frac{I \times 100}{P \times R} }[/tex]
[tex] \mathsf{r = \frac{I \times 100}{P \times T}} [/tex]
And from the definition,
Amount ( A ) = Principal ( P ) + Interest ( I )
Principal ( P ) = Amount ( A ) - Interest ( I )
Interest ( I ) = Amount ( A ) - Principal ( P )
Hope I helped!
Best regards!
Answer:$18
Step-by-step explanation:3% of $300 is $9.$9 is the interest of 1 year so the interest of 2 years is 2 multiplied by 9 which is $18.
Hunter assumed he would only get 64
problems correct on his test, but he
actually got 78 correct. What was his
percent error
Round to the nearest percent.
Answer:
22%
Brainliest, please!
Step-by-step explanation:
78 - 64 = 14
14 / 64 = 0.21875
= 22% (when rounded)
Pete earns graduated commission on his sales each month. He earns 7% commission on the first $35,000 in sales and 9% on anything over that. If Pete had $43,000 in sales this month, how much commission did he earn?
a. $2,610
b. $3,170
c. $3,870
d. $6,880
Please select the best answer from the choices provided A B C D
Answer:
b.$3170
Step-by-step explanation:
43,000-35,000=8,000
SO you would find 9% commission on 8,000
8,000x.09=720
then, you would find his normal commission if he only made 35,000
so you would do 35,000x.07=2450
you would, then, add the two together to get his entire commission, which is $3170
Answer:
b
Step-by-step explanation:
Using the conversion 1 mile equals 1.6093 km to convert 4.9 kilometers to miles, round o the nearest tenth of a mile
Answer:
3.0 miles
Step-by-step explanation:
Using the conversion 1 mile equals 1.6093 km to convert 4.9 kilometers to miles, round to the nearest tenth of a mile.
1 mile = 1.6093 km
Convert 4.9km to mile
We can use cross multiplication :
Let the number of miles = m
1 mile = 1.6093 km
'm' miles = 4.9 km
Cross multiply :
m × 1.6093 = 4.9 × 1
m = 4.9 / 1.6093
m = 3.0448020 miles
Rounding 3.0448020 to the nearest tenth :
3.0 miles
To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade? 14% 17% 55% 67%
Answer: 14%
Step-by-step explanation:
Complete question is provided in the attachment below:
Probability that members of the junior varsity swim team wear glasses = 55%=0.55
Given: P(wear glasses) = 0.55
P(not wear glasses) = 1-0.55 = 0.45
P(member in 10th grade | not wear glasses) = 30%
Using conditional probability formula:
[tex]P(B|A)=\dfrac{P(A\text{ and } B)}{P(A)}[/tex]
[tex]\Rightarrow\ 0.30=\dfrac{P(\text{not wear glasses and in 10th grade})}{0.45}\\\\\Rightarrow\ P(\text{not wear glasses and in 10th grade})=0.45\times0.30\\\\0.135=13.5\%\approx14\%[/tex]
Hence, the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade = 14%.
So, the correct option is "14%".
what is (a x b) x c, if a = 11, b = 9, and c = 1? PLEASE HELP!!!
Answer:99
Step-by-step explanation:(11×9)×1=99
Answer:
The answer is 99Step-by-step explanation:
(a x b) x c
a = 11, b = 9, and c = 1
In order to solve substitute the values of a , b and c into the above expression
That's
( 11 × 9) × 1
Solve the terms in the bracket first
99 × 1
We have the final answer as
99Hope this helps you
a red sea urchin grown its entire life, which can last 200 years. An urchin at age 30 has a diameter of 11.9 cm, while an urchin at age 110 has a diameter of 15.5 cm What is the average rate of change over this given period
A = (15.5 - 11.9) / (110 - 30) = 3.6 / 80 = 0.045
Average rate of change = 0.045 cm
The average rate of change of sea urchin's diameter with respect to its age is 0.0045 cm/yr.
What is Derivative in mathematics?
Derivative in mathematics represent the rate of change of a function with respect to a variable.
Given is a red sea urchin such that at age 30, the urchin has a diameter of 11.9 cm whereas urchin at age 110 has a diameter of 15.5 cm.
From the question we can write -
Initial age = A[1] = 30
Initial diameter = D[1] = 11.9 cm
Final Age = A[2] = 110
Final diameter = D[2] = 15.5 cm
Average rate [r] = D[2] - D[1] / A[2] - A[1]
r = D[2] - D[1] / A[2] - A[1]
r = 15.5 - 11.9/110 - 30
r = 3.6/80
r = 0.045
Therefore, the average rate of change of sea urchin's diameter with respect to its age is 0.0045 cm/yr.
To solve more questions on rate measurements, visit the link below-
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Find the coordinates for the function,
1.) f(x)=-2(2.5)
2.) f(x)= 4(1.5)
Answer: 1: Slope 0 Y- Intercept -5
2: Slope 0 Y- Intercept 6
Step-by-step explanation:
Solve for x. 7x+38=45
Answer:
x=1
Step-by-step explanation:
subtract 38 from both sides:
7x=7
divide both sides by 7 to isolate x:
x=1
HOPE THIS HELPS!!!! :)
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
6) C
7) A
8) D
9) B
Step-by-step explanation:
when the sign is < or > then the point is clear point(white)
when the sign is ≤ or ≥ then the point is solid ( black)
6) 4y+3≤y+6
4y-y≤6-3
3y≤3
y≤3/3
y≤1 (C)
7) -2y>2 ( wen sign is negative you flip the sign from> to <)
y<-2/2
y<-1 (A)
---------------------------------------------------------------------------------------
8) y/3<-1 ⇒ y<-3 the sign is < means it is clear and on -3 (D)
--------------------------------------------------------------------------------------
9) 3y≤2y+3
3y-2y≤3
y≤3 ( B)
Points C and D are on a number line (not shown).
The coordinate of point C is -16 and the coordi-
nate of point D is 14. Point E is a point on line
segment CD. If the distance from point E to point C
is 1
4
the distance from point E to point D, what is
the coordinate of point E?
Answer:
17
Step-by-step explanation:
List in increasing order.
22. 807; 780; 870
3103
Please answer for 70 points! :)
Answer:
This is already listed in increasing order:
22. 807; 780; 870; 3103Given order .
807;780;870We have to arrange it in increasing means lowest to highest
[tex]\\ \sf\longmapsto 780<807<870[/tex]
The listing will be
[tex]\\ \sf\longmapsto 780;807;870[/tex]
In Art Class, you designed a rectangle stained glass window. The
length is (2x+2) inches, and the height is 6x. What is the perimeter of
the window? (Hint: draw a diagram and label the sides)
Answer:
Step-by-step explanation:
Draw a triangle and label the sides (picture below):
● the length is 2x+2
● and the width or the height is 6x
The perimeter of a rectangle is the sum of the sides
● P = 2x+2 + 6x + 2x+2 + 6x
Isolate the similar terms
● P = (2x+2x+6x+6x) + (2+2)
● P = 16x + 4
The perimeter of the window of lengths 2x+2 and 6x is 16x + 4
The formula for calculating the perimeter of a rectangle is expressed as:
[tex]P=2(L+W)[/tex] where:
L is the length of the rectangular stained glass window.
W is the width of the rectangle stained glass window
Given the following
L = (2x +2) inches
W = 6x inches
Substitute the given values into the formula as shown:
[tex]P = 2(2x+2+6x)\\P=2(2x+6x+2)\\P=2(8x+2)\\P=2(8x)+2(2)\\P=16x+4[/tex]
Hence the perimeter of the window is 16x + 4
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K = 3x + 8 and m M = x + 12, find the m K. How do I solve?
Answer:
Step-by-step explanation:
3(m-12)+8
x=m-12
what is twelve less than a variable
Answer:
x - 12
Step-by-step explanation:
"twelve" - number
"less than" - switches the entire expression
"a variable" - a unknown number shown as a letter. can be x.
Now we have cut the entire word expression into smaller peices, we can combine it into a actual expression.
12 - x will turn into:
x - 12
Hope this helped.
Answer:
x-12
Step-by-step explanation:
Let the variable be x
12 less than x
x-12
Event A: Flipping heads on a coin #1. Event B: Flipping heads on a coin #2. What is P(A and B)?
Answer:
coin 1
Step-by-step explanation: i think this is it
Answer:
Heads is a 50, 50 situation. so 1/2 plus 1/2 is 1/4
Help anyone can help me do the question,I will mark brainlest.
Answer:
<ADC=90
therefore AC= 20 using Pytagoras
BAC is a right angle triangle because it belongs to the Pytagoras theorem:25,20,15 i.e 25²=15²+20²
3) I DON'T THINK PQR IS A RIGHT ANGLE TRIANGLE because it doesn't belong to the Pytagoras triple.
5. Eight adults and six children travel in a cable car.
Estimate the total mass of the people in the cable car.
Answer: 1880 pounds
Step-by-step explanation: when you take the average adult weight, around 160 lbs. you multiply that by eight. you get 1280. then you estimate that each of the children weigh around 100 lbs, then you add 600 to 1280 and get 1,880 lbs
I NEED HELP!! which expression is the radical form of x - 9/8
Answer:
Step-by-step explanation:
Please use " ^ " to indicate exponentiation.
Your "x - 9/8" should be x ^(-9/8).
The 8 represents "the eighth root" of x, and the -9 represents the power to which x is to be raised. Finally, the " - " sign shows that this 9th power is in the denominator.
x ^(-9/8) in radical form is ----------------
[tex]1 divided by \sqrt[8]{x^9\\} \\[/tex]
if f(x) = 2x²+2x-1, g(x) = x²+5x+2 f(x)=g(x), find the value of x
Answer:
Possible Answers: –5. –21. 7. –1
Answer:
just put the values and simpilyfy it untill you get the value of X
hence, the value of X is either 3 or, -1
What is the answer to this geometry problem?
Answer:
[tex]x=29[/tex]Step-by-step explanation:
Here, MN= NP
→ [tex]128=2x+70[/tex]
→ [tex]2x=128-70[/tex]
Subtract :-
→ [tex]2x=58[/tex]
Divide both sides by 2:-
→ [tex]\frac{2x}{2}=\frac{58}{2}[/tex]
→ [tex]x=29[/tex]
OAmalOHopeO
A 2 inch by 2 inch square has its area increased by 21 square inches producing a new square. How many inches long is a side of the new square?
Answer:
A 2 by 2 inch square has an area of 4 square inches.
If its area is increased by 21 inches, then its area equals 25 square inches.
To find the length of the side we take the square root of 25 square inches which is 5 inches.
Step-by-step explanation:
The point (-3,-1) is the midpoint of (x,y) and (5,4). Find the point (x,y).
Answer:
(-11, -6)
Step-by-step explanation:
Find the distance between the midpoint, (-3, -1) and (5, 4). This can be calculated by finding the difference between the x coordinates and y coordinates.
-3 - 5 = -8 (distance between x coordinates)
-1 - 4 = -5 (distance between y coordinates)
Find the point (x, y) by subtracting 8 from the midpoint's x value, and then subtracting 5 from the midpoint's y value.
-3 - 8 = -11
-1 - 5 = -6
So, the point (x, y) is (-11, -6)
Find n. A. 5 B. 5√3 C. 10 D. 10√3/3
Answer:
Option A
Step-by-step explanation:
Using trigonometry ratios
tan∅= opp/adj
tan 30°=n/(5√3)
1/√3 = n/(5√3)
n = (5√3)/√3
n = 5
Find the value of x.
Answer:
48
Step-by-step explanation:
(204-x)/2=78
or, 204-x=156
or, x=204-156
or, x=48
Solve five and six eighths plus four and four fifths.
Answer:
Two and three fourtieths.
Step-by-step explanation:
5 6/8 + 4 4/5
= 46/8 + 24/5
= 83/40
= 2 3/40
Two and three fourtieths(2 3/40) is the answer.
Answer: 9 22/40
Step-by-step explanation:
find the slope and y intercept
Answer:
slope = -1
y intercept (0,-2)
Step-by-step explanation:
We can use the two points to find the slope
(-4,2) and (1,-3)
m = ( y2-y1)/(x2-x1)
= (-3 -2)/(1 - -4)
= -5 /(1+4)
= -5/5
- 1
The y intercept is where it crosses the y axis
y intercept is (0,-2)
Solve for x in the equation x squared + 11 x + StartFraction 121 Over 4 EndFraction = StartFraction 125 Over 4 EndFraction.
Answer:
Below
Step-by-step explanation:
● x^2 + 11x + 121/4 = 125/4
Substract 125/4 from both sides:
● x^2 + 11x + 121/4-125/4= 125/4 -125/4
● x^2 + 11x - (-4/4) = 0
● x^2 +11x -(-1) = 0
● x^2 + 11 x + 1 = 0
This is a quadratic equation so we will use the determinanant (b^2-4ac)
● a = 1
● b = 11
● c = 1
● b^2-4ac = 11^2-4*1*1 = 117
So this equation has two solutions:
● x = (-b -/+ √(b^2-4ac) ) / 2a
● x = (-11 -/+ √(117) ) / 2
● x = (-11 -/+ 3√(13))/ 2
● x = -0.91 or x = -10.9
Round to the nearest unit
● x = -1 or x = -11
The solutions are { -1,-11}
The solution of the equation x² + 11x + (121/4) = 125/4 will be 0.09 and negative 11.09.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The equation is given below.
x² + 11x + (121/4) = 125/4
Simplify the equation, then the equation will be
4x² + 44x + 121 = 125
4x² + 44x + 121 - 125 = 0
4x² + 44x - 4 = 0
x² + 11x - 1 = 0
We know that the formula, then we have
[tex]\rm x = \dfrac{-b \pm \sqrt {b^2 - 4ac}}{2a}[/tex]
The value of a = 1, b = 11, and c = -1. Then we have
[tex]\rm x = \dfrac{-11 \pm \sqrt {11^2 - 4 \times 1 \times (-1)}}{2 \times 1}\\\rm x = \dfrac{-11 \pm \sqrt {121 +4}}{2 }\\x = \dfrac{-11 \pm \sqrt {125}}{2 }[/tex]
Simplify the equation, then we have
x = (- 11 ± 11.18) / 2
x = (-11 - 11.18) / 2, (-11 + 11.18) / 2
x = -11.09, 0.09
The solution of the equation will be 0.09 and negative 11.09.
More about the solution of the equation link is given below.
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Factorise the following
Answer:
4ny²+4n²-4n-8+y⁴-2y²
Complex numbers
[ = square root symbol
-[-64
How would I find this?
[tex]-\sqrt{-64}=-\sqrt{8^2\cdot (-1)}-8\sqrt{-1}=-8i[/tex]