Answer:
(-18, 9)
Step-by-step explanation:
If a coordinate A(x,y) is dilated by a factor of k, the new coordinates will be expressed as;
A' = (kx, ky)
A' = A (kx, ky)
Given the following
k = 1/3
A' = (-6, 3)
Substitute
(-6, 3) = 1/3(x, y)
Cross multiply
3(-6, 3) = (x, y)
(x, y) = (3(-6), 3(3))
(x, y) = (-18, 9)
Hence the coordinate prior to dilation is (-18, 9)
Jennifer age 18 initially invested $1000 at 8% interest how old would she be when the account is $128,000
Answer:
2,304 years old
Step-by-step explanation:
Given: Jennifer age = 18, Invested = $1000 at 8% interest
To find: How old would she be when the account is $128,000?
Wrong solution
Solution: To figure out how old she will be when her account is $128,000, simply find the difference between her current account value by her current age, by dividing. Then multiply the result by the future account value.
Step 1: [tex]\frac{1000}{18} = 55.5555555556[/tex]
Rounding, that is; 55.56
Step 2: Now, multiply the result by the future account value.
[tex]55.56[/tex] × [tex]128000 = 7111680[/tex]
Correct solution
Solution: To find out how old she will be when her account is $128,000, set up a fraction;
[tex]\frac{1000}{8} = \frac{12800}{x}[/tex]
Step 1: Divide the numbers
[tex]\frac{1000}{8} = \frac{128000}{x} \\\\\frac{500}{9} = \frac{128000}{x}[/tex]
Step 2: Multiply all terms by the same value to eliminate fraction denominators
[tex]\frac{500}{9} = \frac{128000}{x} \\\\x * \frac{500}{9} = x * \frac{128000}{x}[/tex]
Step 3: Cancel multiplied terms that are in the denominator
[tex]x *\frac{500}{9} = x * \frac{128000}{x} \\\\x * \frac{500}{9} = 128000[/tex]
Step 4: Re-order terms so constants are on the left
[tex]x * \frac{500}{9} = 128000\\\\\frac{500}{9} x= 128000[/tex]
Step 5: Combine multiplied terms into a single fraction
[tex]\frac{500}{9} x = 128000\\\\\frac{500x}{9} = 128000[/tex]
Step 6: Multiply all terms by the same value to eliminate fraction denominators
[tex]\frac{500x}{9} = 128000\\\\9 * \frac{500x}{9} = 9 * 128000[/tex]
Step 7: Cancel multiplied terms that are in the denominator
[tex]9 * \frac{500x}{9} = 9 * 128000\\500
Please help me, no random answers or links, please.
Answer: -3
Step-by-step explanation:
To find the gradient...
Take any two points on the line and use the gradient fromula...
y2 - y1/ x2 - x1
Using points (0, 4) and (1,1):
1-4 / 1-0 = -3/1
Graident/slope = -3
Answer:
Step-by-step explanation:
(0, 4) (1, 1)
(1 - 4)/(1 - 0) = -3/1= -3
-3 is the slope
What is the y-intercept in the equation y = 4x - 3?
answer: -3
remember the equation y = mx + b
m is the slope, and b is the y-intercept
so in the equation y = 4x - 3,
4 replaces the m as the slope and -3 replaces b for the y-intercept
so -3 is your answer
Answer:
-3
Step-by-step explanation:
Find the equation of a line perpendicular to 4x - 5y = -1 that contains the point (5, -4)
Answer:
y = -5/4x + 2 1/4
Step-by-step explanation:
you would start by changing the equation to point intercept form
4x + 1 = 5y
4/5y + 1/5 = y
then you fill in the points and change the slope to -5/4 (reciprocal and opposite sign)
-4 = -5/4(5) + b
-4 = -6.25 + b
2.25 = b
WHATS THE ANGLE MEASUREMENTS ?? & TELL HOW YOU GOT IT !!
PLEASE HELP !! ILL GIVE BRAINLIEST!! 100 POINTS !! NO FAKE ANSWERS.
Answer:
a=42 b=71.5 c=42.5 (lemme know if this is wrong)
Step-by-step explanation:
7x+4x+5x=16x
2+10=12
180-12= 168 degrees.
168/16=x
x=10.5
b= 71.5
a=42
c=42.5
if i have 12 apples, and then sally takes one, and billy takes 8, then i go pick 18 more apple but i eat 14, how many apples do i have? ANSWER THIS FAST!!
Answer:
7 apples is the correct answer I believe.
Find the area of this
irregular figure.
9 ft
[ ? ] square feet
8 ft
15 ft
26 ft
Answer:
426 ft^2.
Step-by-step explanation:
It area = area of the rectangle + area of the triangle
= 15 * 26 + 1/2 * 8 * 9
= 390 + 1/2*8*9
= 390 + 36
= 426 ft^2.
The area of the figure given is 426 ft^2.
How to find the surface area of some object?Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object.
Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.
Area = Area of the rectangle + Area of the triangle
Area = 15 * 26 + 1/2 * 8 * 9
Area = 390 + 1/2*8*9
Area = 390 + 36
Area = 426 ft^2.
Therefore, the area of the figure given is 426 ft^2.
Learn more about surface area here:
https://brainly.com/question/15096475
#SPJ5
What's is 25/6 as an mixed number
Answer:
4 1/6
Step-by-step explanation:
6 goes into 25 4 times with one leftover converting to the extra 1/6th
Answer:
4 R 1
Step-by-step explanation:
Solve for x
7 x + 3 = 17
X= 2
x = 7
x = 20
x = 27
Answer:
27
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
7x + 3 = 17
7x = 17 - 3
7x = 14
7x ÷ 7 = 14 ÷ 7
x = 2
What is the 12th term of the geometric sequence where *
A7 = 7 and 10 = -56
O-448
0-224
O -112
0 -96
Answer:
-224
Step-by-step explanation:
Geometric sequence is given by An = A*R^(n-1)
Given A7 = 7 and A10 = -56
A10/A7 = -8 = R^(10-7)
R^3 = -8
R = -2
A12 = A10*R^2
= -56*-2^2
= -224
Answer:
Step-by-step explanation:
A7 = 7
A10 = -56
7xRxRxR = -56
R = -2
A12 = A10xRxR
= -56 x -2 x -2
= 224
Henry is recording what kind of shoes people are wearing at
the mall. Out of the 12 people he has seen, 4 are wearing high
heels. What is the experimental probability that the next
person Henry sees will be wearing high heels?
Answer:
1/4
Step-by-step explanation:
if you subtract 12 - 4 you get 8 and 4/8 = 1/4
A food scientist takes a random sample of 25 cereals in order to test the claim that the mean fiber content is less than 2.5 grams. The graphs of the data and two types of hypothesis test output are provided below. Determine which output should be used and state the conclusion of this test at the 5% significance level.
Answer:
Choice A: there is insufficient evidence to conclude that the mean for the fiber content is less than 2.5 gms.
Step-by-step explanation:
From the graphs given the more appropriate is one sample t- test
One sample t- test is used and the results are
Hypothesis Test Fiber
Sample Mean 2.62
Sample St. Dev 3.492
Degrees of Freedom 24
t- test statistic 0.1718
p- value 0.5675
the critical region for this test at ∝= 0.05 is t < -1.711
There is not enough evidence to reject the null hypothesis.
Since the calculated t= 0.1718 does not fall in the critical region the null hypothesis is accepted that the mean fiber content is not less than 2.5 grams.T
Use the following probabilities to answer the question. It may be helpful to sketch a Venn diagram.
P(A) = 0.44, P(B) = 0.36 and P(A and B) = 0.20 .
P(B ∣ not A)=
Answer:
0.2857
Step-by-step explanation:
P(B | not A)
Recall :
P(A | B) = P(A n B) / P(B)
Hence ;
P(B | not A) = P(B and not A) / P(not A)
P(not A) = 1 - P(A) = 1 - 0.44 = 0.56
P(B and not A) = P(B) - P(A and B) = 0.36 - 0.20 = 0.16
Hence,
P(B | not A) =P(B and not A) / P(not A) = 0.16 / 0.56
= 0.2857
HELP PLEASE GOD HELP
Answer:
x=2, x=-8 : 2 will be taken as the answer as negative is discarded so C is the answer
Step-by-step explanation:
Apply Log Rules:
x(x+6)=16
Solve:
x=2, x=-8
What is the exponential form of the expanded form below?
10 times 10 times 10 times 10 times 10
5 times 10
5 superscript 10
10 superscript 1
10 superscript 5
Answer:
b
Step-by-step explanation:
Answer:
it's D (10^5)
Step-by-step explanation:
What is the correct order of the functions from least to greasiest according to the average rate of change on the interval from x-1 to x =3
453-44:6*7/2-678
Heeeeeeelp
Answer:
[tex]\frac{-752}{3}[/tex]
Step-by-step explanation:
5 The regular price of a kite is $9.60. Today it is on sale at 1/3 off the regular price. What is the sale price of the kite? $
Answer:
its 6.40
Step-by-step explanation:
Classify the slope of the line shown:
Answer:
Its a positive slope since its going up.
A hoodie normally costs $35. There is a 25% discount. What is the sale price of the hoodie ?
Answer:
The new sale price is $26.25 dollars.
Step-by-step explanation:
Answer: $26.25
Step-by-step explanation:
multiply 35.00 by .25 or 25% and you get 8.75 and then subtract that from 35 to get $26.25
Hope this helps ! :)
Use operations of decimal, fraction, and percent numbers to model the following scenarios. In your final answer, include only an equation or proportion modeling the scenario. Do not solve the problems.
A family dines in a popular franchise restaurant. At the end of the meal, they decide to leave their server a monetary tip that is equal to 20% of the total bill amount, $60.50. How much will the family leave their server as a tip?
A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 15% off of their total dinner bill, not including applicable sales tax or their server’s tip. If the family’s dinner bill totaled $34.00 before tax and tip, how much money will they save by using the coupon?
A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 10% off of their total dinner bill, not including applicable sales tax or their server’s tip. The bill totals $157.30 before tax and tip. What is the new total after the server applies the 10% off coupon?
A family of eight dines in a popular franchise restaurant. The restaurant has a policy of automatically including a standard tip to the final bill for parties larger than six people. The bill for the meal included a total of $58.25 in food and beverage sales, plus a standard tip of $10.49. What percent of the food and beverage sales does the restaurant consider to be a standard tip for parties larger than six?
A family dines in a popular franchise restaurant that has a policy of automatically including a 20% tip on all food and beverage sales before coupon discounts are applied. What is the family’s total bill amount if their food and beverages totaled $94.20 and they used a 15% off coupon? (HINT: Create more than one model.) DONT ANSWER THE QUESTION JUST PUT THE EQUATIONS
Answer:
A) t=0.2(60.5)
B) d=0.15(34)
C) t=0.9(157.3)
D) p=100(10.49/58.25)
E) t=0.85(94.2+0.2(94.2))
Step-by-step explanation:
A)
Let the tip be represented by t. The tip is 20% of $60.50:
t=0.2(60.5)
B)
Let the money they save be represented by d. Their discount is 15% of $34:
d=0.15(34)
C)
Let the new total be represented by t. Their discount is 10%, so they will only be paying 90% of $157.30t:
t=0.9(157.3)
D)
Let the percentage be represented by p. The tip is $10.49, to find this as a precent of the $58.25 bill, divide the tip by the bill and multiply by 100:
p=100(10.49/58.25)
E)
First find the total after the tip but before the coupon.
Their tip is 20% of $94.20, and their total before the coupon is $94.20 plus the tip: 94.2+0.2(94.2)
Now find their final total.
Let the final total be represented by t. The discount is 15%, so they will only be paying 85% of the total after tip:
t=0.85(94.2+0.2(94.2))
a 440m long road is being repaired at the end of 3 days the workers had repaired 3/4 of the road what length of the road is left unrepaired
THE ANSWER IS 110 m
Workers had repaired 3/4 of the road
it means3/4×440 is been repaired
length of repaired road is 3×110 = 330m
length of unrepaired road = Length of to road - length of repaired road
i.e. = 440-330 = 110m
Helppppppppppppppppppppppppppppppppppppp
Who ever answers gets to be brainlist anyways tell me how to mark you as brainlist?
Answer:
part W
you tap the person and it gives you that option
hope that helps I don't answer things for points I like to help and maybe
PLEASE HELP! Image below
Answer:
1.6
Step-by-step explanation:
So, first, write down the number of jokers in each deck of cards.
That would be: 0, 1, 2, 2, 3
Then, add up all those numbers.
0+1+2+2+3=8
Now, divide that sum by the number of decks or cards shown in the data set, which would be 5.
8/5=1.6
So, the mean of the data in the dot plot shown is 1.6.
:L)
HELP ME PLEASEEEEEEEEEEEEEEEE
Answer:
76
Step-by-step explanation:
Helpppppp pleaseee this is timed. NO LINKS OR I WILL REPORT YOU please help I will mark you brainliest. Also please give an explanation please pretty please
Answer:
whats the question??
Step-by-step explanation:
A person invested $810 in an account growing at a rate allowing the money to double
every 10 years. How long, to the nearest tenth of a year would it take for the value of
the account to reach $1,690?
Answer:
i dont know bro
Step-by-step explanation:
Answer:
10.6
Step-by-step explanation:
Simplify
2x² + (4x – 6x²) + 9 – (6x + 3)
Answer: -4x²-2x+6
Step-by-step explanation:
2x²+(4x-6x²)+9-(6x+3)
2x²+4x-6x²+9-6x-3
2x²-6x²+4x-6x+9-3
-4x²-2x+6
Answer:
=-4x^2-2x+6
Step-by-step explanation:
44 points for answer
Answer:
30 m vertically and 10 horizontally for a rectangle in a corner of the warehouse.