Chef Alfredo made the investment 4 years ago.
To solve this problem, we have to use the formula of simple interest.
Data;
rate = 5%principal = 4800Simple Interest + principal = $6000T = time ?Simple InterestThe formula of simple interest is given as
[tex]S.I = \frac{PRT}{100}[/tex]
Let's subtract the principal from the final amount to know the simple interest
[tex]6000-4800=1200[/tex]
Substitute the values into the formula
[tex]s.i=\frac{prt}{100} \\1200=\frac{6000*5*t}{100}\\ 1200*100=6000*5*t\\120000=30000t\\t = 4[/tex]
The time he made that investment was 4 years ago
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Can somebody explain how I do this?
Answer:
You carry the 1 bring the 2 then divide by 3 multiply by 4 times the 2nd power then gimme those points.
Step-by-step explanation:
i have no vlue
Mathe help #2 lots of points help please
Medians bisect eachother at centroid in ratio 2:1
ZS=XS=80SU is perpendicular bisector
UY=UZ
So
YZ=2(66)=132Apply Pythagorean theorem
[tex]\\ \tt\hookrightarrow VY^2=XS^2-VS^2=80^2-48^2=6400-2304=4096\implies VY=64[/tex]
Answer:
XS = 80
YZ= 132
VY = 64
Step-by-step explanation:
Firstly, SU is a perpendicular bisector
so, UV= UZ and YZ = 2(66) = 132
Each median bisect each other at centre with the ratio 2 : 1
therefore ZS = 80 = XS
now , by using P.G.T
VY² = XS²-VS²
=> 80²-48²
=> 6400-2304
=> 4096
=> √4096
=> 64
VY = 64
please help me ..............................................................................
Hiyaaa! I'm Nat and I'm gonna help you~♡
Thermo means heat! So. Thermosphere has to relate to hot and warm things.
Meso meaning middle,or intermediate.
,
Thermosphere = is very hot,satellites travel here,reached out into spaceMesosphere= Directly under the stratosphere,is very cold,acts has a barrierHope this helps!!
Brainliest?
-Nat
-107
Describe the transformation that maps the pre-image A to the image A.
1)
A)
translated 8 units up and then reflected across the y-axis
B)
- translated 8 units down and then reflected across the y-axis
Eliminate
translated 1 unit to left and then rotated 180° counterclockwise about the
origin
D)
translated 1 unit to right and then rotated 180° counterclockwise about
the origin
Answer:
C) translated 1 unit to the left and then rotated 180° counterclockwise about the origin
Step-by-step explanation:
by inspection, shape A has been translated 1 unit to the left and then rotated 180° counterclockwise about the origin
find the equation of the line tangent to the graph of f at (1,4), where f is given by f(x)=2x^3-3x^2+5
Answer:
[tex]y = 4[/tex]
Step-by-step explanation:
First, find the derivative of f:
[tex]\displaystyle \begin{aligned} f'(x) & = \frac{d}{dx}\left[ 2x^3 - 3x^2 + 5\right] \\ \\ & = 6x^2 - 6x \\ \\ & = 6x(x-1)\end{aligned}[/tex]
Find the instantaneous slope at x = 1:
[tex]\displaystyle \begin{aligned} f'(1) & = 6(1)((1)-1) \\ \\ &= 0 \end{aligned}[/tex]
From the point-slope form, find the equation of the line:
[tex]\displaystyle \begin{aligned}y - y_1 & = m(x-x_1) \\ \\ y - (4) & =(0)(x-(1)) \\ \\ y & = 4 \end{aligned}[/tex]
In conclusion, the equation of the tangent line is y = 4.
Ava cannot spend more than $100 on food for a party. The lemonade will cost $19 and she wants to spend the rest on pizza. Each pizza costs $7.
How many pizzas can she buy?
Enter your answer in the box.
___ pizzas
Answer and Step-by-step explanation:
So for this question, we need to create an equation. We will use one of the most common forms of equations of math, which would be the linear equation of y=mx+b. The only difference is, we need to change the = to a ≥ symbol, meaning greater than or equal to, because the 100 dollars needs to be more or equal to the amount spent. But we cannot solve this problem until we know where everything goes.
So, the 100 is all she can spend, so this is where the ≤ comes in handy. She can use less than or equal to the amount of 100 dollars for the food for this party. And because she started out with 19 dollars, that can be added into the problem. So far we have:
100 ≥ __x + 19.
Now we need to find what the missing part of the equation is. But first let's change the x to p in this equation so that it is easier to understand. The p stands for the amount of pizzas purchased. Each pizza costs 7 dollars, so the equation should look like this:
100 ≥ 7p + 19. Now we solve for p.
-19 - 19 Subtract 19 from both sides to cancel out the positive 19 (+ 19).
81 ≥ 7p Divide 7 into 81 to single out p.
7 7 So p = 81/7. But we can't have 81/7 of a pizza, so we convert this to a decimal then round. So: 11.57142857… is the decimal form.
Now we need to round, because that is way too big. So, we round to the nearest whole number. So we look at the placement behind it (The tenths placement in this situation). Because the placement behind it (5) is on the 5 - 9 scale, the placement before it gets rounded up.
So, Ava can buy 12 pizzas.
I hope that this helps.
Answer:
12
Step-by-step explanation:
I Took The Test
One half of a number is subtracted from 25 the answer is 10. What is the number
Answer:
The answer is 30
Step-by-step explanation:
30÷2=15
25-15=10
Answer:
30
Step-by-step explanation:
25-30/2 = 25-15 = 10 Hope this helps!
THIS IS DUE IN 5 MINUTES!!!!!!!!!!! I NEEED THIS ASAP! A 13 3/4 -inch candle burns down in 11 hours. If b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context.
I HOPE THIS HELPSSSSSS
GOOD LUCKKKKKK :)
qiulian and tammy have 2400 cards. tammy has twice as many cards as qualian.how many cards must tammy gaive qiulian so that tey have a the same number of card?
Tammy must give Qiulian 800 cards, so that they have the same number of card.
Let Qiulian's card be Q.Let Tammy's card be T.Given the following data:
Total cards, T = 2400 cards.How to solve the word problem.Translating the word problem into an algebraic expression, we have;
Qiulian and Tammy have 2400 cards:
[tex]Q+T=2400[/tex] .....equation 1.
Tammy has twice as many cards as Qiulian:
[tex]T=2Q[/tex] .....equation 2.
To determine the amount of card that Tammy must give Qiulian so that they have the same number of card:
Substituting eqn. 2 into eqn. 1, we have:
[tex]Q+2Q=2400\\\\3Q=2400\\\\Q=\frac{2400}{3}[/tex]
Q = 800 cards.
For Tammy:
[tex]T =2Q\\\\T=2\times 800[/tex]
T = 1600 cards.
Therefore, Tammy must give Qiulian 800 cards, so that they have the same number of card.
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Frank made 105$ for 5 hours of work.
At the same rate, how much would he make for 7 hours of work?
Answer:
147$
Step-by-step explanation:
105/5 = x/7
x = 105*7/5 = 147
Four eighth graders solve the equation
x
3
−
150
=
66.
x3−150=66. The table shows the students’ answers.
Which statement is true?
Student
1
1 is correct because
72
3
−
150
=
66.
723−150=66.Student 1 is correct because 72 cubed minus 150 is equal to 66 point
Student
2
2 is correct because
6
3
−
150
=
66.
63−150=66.Student 2 is correct because 6 cubed minus 150 is equal to 66 point
Student
3
3 is correct because
18
3
−
150
=
66.
183−150=66.Student 3 is correct because 18 cubed minus 150 is equal to 66 point
Student
4
4 is correct because
7
3
−
150
=
66.
73−150=66.Student 4 is correct because 7 cubed minus 150 is equal to 66 point
Answer:
Student 2 is correct because 6 cubed minus 150 is equal to 66
Step-by-step explanation:
[tex]x^3-150=66[/tex]
[tex]\implies x^3=66+150=216[/tex]
[tex]\implies x=\sqrt[3]{216} =6[/tex]
Santino fires a paintball 3 meters from the ground such that the initial trajectory is perfectly horizontal. Assume the paintball does not hit anything in the ground is level. When will the paintball hit the ground?
A. About 3 seconds
B. About 0.78 seconds
C. About 0.52 seconds
D. About 1 second
Answer: B
PLZ HELP ILL MARK AS BRAINLEIST
Answer:
c
Step-by-step explanation:
A=2πrh+2πr2=2·π·3·20+2·π·32≈433.53979
A computer generates 50 integers from 1 to 8 at random. The results are recorded in this table.
Outcome 1 2 3 4 5 6 7 8
Number of times outcome occurred
5 8 9 7 4 6 5 6
What is the experimental probability of the computer generating a 4 or a 7?
8%
14%
22%
24%
Answer:
D. 24%Step-by-step explanation:
Number of 4 generated is 7 and number of 7 generated is 5.
Total of 7 + 5 = 12 outcomes out of 50:
P(4 or 7) = 12/50 = 24/100 = 24%The experimental probability of the computer generating a 4 or a 7 is D. 24%.
What is experimental probability?Experimental probability calculates the probability of some event from the results of experiments.
For an event E, we get the experimental probability of that event
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]
where P_e(E) is denoting the experimental probability of occurrence of E.
A computer generates 50 integers from 1 to 8 at random. The results are recorded in this table.
Outcome 1 2 3 4 5 6 7 8
Number of times outcome occurred
5 8 9 7 4 6 5 6
The Total of 7 + 5 = 12 outcomes out of 50:
The experimental probability of the computer generating a 4 or a 7
P(4 or 7) = 12/50
= 24/100
= 24%
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Help Me what is 2,267,742,732,288 in scientific notation for 20 pts
Answer:
2.267742732288 × 1012
Step-by-step explanation:
8x18divided by (16divide8x3)
Answer:
It might be 96. I don't know
Step-by-step explanation:
75 POINTS
Provide the missing reasons for the proof.
Answer:
1. Given
2. definition of vertical angles
3. SAS triangle similarity theorem
Step-by-step explanation:
1. Given simply means the problem directly tells you it is true
2. Vertical angles are angles that share 2 lines and are congruent.
3. SAS triangle similarity theorem is the theorem that proves 2 triangles with a similar side, angle, and side (in that order) are similar.
need help with This question
Answer:
56 meters
none of these
Step-by-step explanation:
4*2=8
8*6=48
48+8=56
Answer:
32
Step-by-step explanation:
you add all the sides and to find the missing side you add 4+4 because it is the opposite and the other 8-6 to get 2 so 4+8+8+6+4+2=32
Question 9 of 20
Mr. Chen is parking in a lot downtown. The graph shows the relationship
between the time and the total cost of parking . Evaluate the function for an
input of 10
Cost of Parking in Lot
20
l
A. After 18 hours, the cost is $18.
B. After 18 hours, the cost is $10.
C. After 10 hours, the cost is $18.
D. After 10 hours, the cost is $10.
The answer to the problem(i did this question before) B
The solution to the question by reading the graph is:
When x(Time of parking) is 6 hours, y(Cost of Parking) is 12 hours.
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
here, we have,
Mr. Chen is parking in a lot downtown. The graph shows the relationship
between the time and the total cost of parking .
now, we have to find the function for an input of 10 Cost of Parking in Lot 20.
Hence, The solution to the question by reading the graph is:
When x(Time of parking) is 6 hours, y(Cost of Parking) is 12 hours.
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Find the measure of angle
Answer:
It can be any measure
Step-by-step explanati
Earning Commission
Sales Commision Rate Commission
$450
6%
?
The commission is ?
Answer:6%
Step-by-step explanation:
This is pretty much asking what the percentage is!
The work shows the first steps of writing a partial fraction decomposition. StartFraction negative 5 x cubed + 2 x squared + 9 x + 2 Over (x squared + 2) squared EndFraction = StartFraction A x + B Over x squared + 2 EndFraction + StartFraction C x + D Over (x squared + 2) squared EndFraction Negative 5 x cubed + 2 x squared + 9 x + 2 = (A x + B) (x squared + 2) + C x + D Negative 5 x cubed + 2 x squared + 9 x + 2 = A x cubed + 2 A x + B x squared + 2 B + C x + D For this partial fraction decomposition, find the unknowns. A = , B = , C = , and D =
Answer:
I'm certainly late, but it took me a while to figure this one out so I want to leave an answer.
A=-5 B=2 C=19 D=-2
Step-by-step explanation:
I looked back at the video and actually tried to pay attention and the way to figure these problems out is set up all of the degrees of x in an equation. So, take all of the coefficients that are attached to an x^3, and set them up equal to each other. This makes -5=A, which is the first answer. Repeat for x^2 and you have B=2. For x, it becomes 9=2A+C. A is equal to -5 (from the x^3), so you can substitute and get c=19. Repeat for the x^0 term (the constants), and you get 2=2B+D. Plug in the value for B, 2, and get 2=4+D, which then becomes D=-2. That's how you get the answer and I hope this helps somebody.
The values are A=-5, B=2, C=19 and D=-2
What is partial fraction?Partial fractions are the fractions used for the decomposition of a rational expression. When an algebraic expression is split into a sum of two or more rational expressions, then each part is called a partial fraction. Hence, basically, it is the reverse of the addition of rational expressions.
Given:(-5x³+2x²+9x+2) / x²+2 =(Ax + B)/x²+2 + (Cx + d)/x²+2 .......(1)
First, we have to perform the long division as follows
The long division gives
(-5x³+2x²+9x+2 )/ x²+2= ( -5x+2)+ (19x-2)/ x²+2
Now, we have to find the partial fraction for (19x-2)/ x²+2
But, as denominator cannot be factored, So no partial fraction can be calculated.
Thus, (-5x³+2x²+9x+2 )/ x²+2= ( -5x+2)+ (19x-2)/ x²+2
Comparing it with equation (1), we get
Hence, A=-5, B=2, C=19 and D= -2
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The solutions to a certain quadratic equation are x= -4 and X = 3. Write the equation in standard form below.
[blank] +x [blank] [blank] = 0
Answer:
x² + x - 12 = 0
Step-by-step explanation:
If x = -4 and x = 3 are solutions to a quadratic equation, then
(x + 4)(x - 3) = 0
Expand the brackets: x² - 3x + 4x - 12 = 0
Combine like terms: x² + x - 12 = 0
The table represents the number of medals won by each member of the Academic Bowl Team. What is the ratio of the number of medals won by Josephine to the total number of medals won by the team?
A) 1/13
B) 1/4
C) 1/3
D) 2/5
1. Ratio of medals won by Josephine to the total number won by the team: 1/13 (A)
2. Ratio of medals won by Jacob to medals won by Antonio: 2/1 (D)
What is Ratio?Ratio can be described as a quantitative relation that compares how many times a value is contained in another.
1. Ratio of medals won by Josephine to the total number won by the team:
Total won by the team = 26
Medals won by Josephine = 2
Ratio = 2:26 = 2/26
= 1/13 (A)
2. Ratio of medals won by Jacob to medals won by Antonio:
Jacob = 8
Antonio = 4
Ratio = 8:4 = 8/4
= 2/1 (D)
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bernice buys 5 VHS tapes. each VHS tape cost $9. if bernice receives a $2 discount on each vhs, what is the total amount of money she spends? write an expression that matches the words.
Answer: bernice buys 5 VHS tapes. each VHS tape cost $9. if bernice receives a $2 discount on each vhs, what is the total amount of money she spends? write an expression that matches the words.
the answer is $11
Step-by-step explanation: 9+2=11
How many solutions of linear equation of -x + y = -5
Answer:
infinite
Step-by-step explanation:
a) Multiply 82 X 34 with math workings
b) multiply 69 x 12 with math working
Multiply each term of 82 by each broken term of 34, i.e.
[tex] \tt \multimap \: 80 \times (30 + 4) + 2 \times (30 + 4)[/tex]
[tex] \tt \nrightarrow \: 80 \times 34 + 2 \times 34[/tex]
[tex] \tt \Rrightarrow \: 2720 + 68[/tex]
[tex] \tt \rightharpoonup \: 2788[/tex]
#b69 = 70-112 = 10+2Multiply each term of 69 by each broken term of 12, i.e.
[tex] \sf \multimap \: 70 \times (10 + 2) - 1(10 + 2)[/tex]
[tex] \sf \nrightarrow \: 70 \times 12 - 1 \times 12[/tex]
[tex] \sf \Rrightarrow \: 840 - 12[/tex]
[tex] \sf \rightharpoondown \: 828[/tex]
Remi plans on spending at most $75 at the mall. She wants to buy a $30 hoodie and some t-shirts that cost $9. Write and solve an inequality to find how many t-shirts Remi can purchase.
Please help! :(
Answer:
T-shirts= 5
Step-by-step explanation:
Remi plans on spending 75$ and she already bought a hoodie that cost $30.
x= how many hoodies you buy.
Inequality- $75= 30+75+x
Next- 75-30= $45
Finally- 45/9= 5 t-shirts that you can buy.
Hope that helped! :)
solve 2x +5y =-24 2x+ y =-8
Answer:
[tex]x=-2, y=-4[/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}2 * \frac{-24 - 5y}{2}+ y= -8\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-24-4y=-8\end{array}\right][/tex]
[tex]x=\frac{-24-5(-4)}{2}[/tex]
[tex]x=-2, y=-4[/tex]
Answer:
[tex]{x,y} = {-2,-4}[/tex]
Step-by-step explanation:
[tex]2x + 5y = -24 \\ 2x + y = -8[/tex] <---------- Linear equations given
Graphic Representation of the Equations : PICTURE
[tex]5y + 2x = -24 \\ y + 2x = -8[/tex]
Solve by Substitution :
// Solve equation [2] for the variable y
[tex][2] y = -2x - 8[/tex]
// Plug this in for variable y in equation [1]
[tex][1] 2x + 5*(-2x-8) = -24\\ [1] -8x = 16[/tex]
/ Solve equation [1] for the variable x
[tex][1] 8x = - 16 [1] x = - 2[/tex]
// By now we know this much :
[tex]x = -2 \\ y = -2x-8[/tex]
// Use the x value to solve for y
[tex]y = -2(-2)-8 = -4[/tex]
Solution :
[tex]{x,y} = {-2,-4}[/tex]
Please help me simplify both of these.
Answer:
A is 3/y, B is 4y
Step-by-step explanation: