Answer:
A = £1102.50
Step-by-step explanation:
Use the compound amount formula:
A = P(1 + r)^t, where P is the principal, r is the interest rate as a decimal fraction, and t is the number of years.
Here A = £1000·(1 + 0.05)^2, which evaluates to A = £1102.50
4.) Mr. Lakey is a taxi cab driver. He earns $5.00 hour plus tips. One week he works 40
hours, receiving $287 in tips. Find his weekly gross income.
Answer:
87
Step-by-step explanation:
earning rate (R) = $5/hr
total (T) = $287
time (t) = 40 hr
tips = T - Rt
= $287 - $5*40
$87
The question is the img. Please answer both if u can
Problem 1
x = number of weeks
y = amount left on gift card (in dollars)
He starts with $100. Then each week he spends $4.99 which means we subtract 4.99x from the 100 mentioned. We form the expression 100 - 4.99x which is the same as -4.99x + 100
The equation y = -4.99x + 100 is in slope intercept form with m = -4.99 as our slope and b = 100 as the y intercept.
Answer: y = -4.99x + 100=======================================================
Problem 2
The y intercept is 100 because it's the starting amount. Mark the point (0,100) on the graph.
We need one more point to form a straight line. Let's say we picked something like x = 4 to plug into the equation found earlier
y = -4.99x + 100
y = -4.99*4 + 100
y = -19.96 + 100
y = 80.04
After x = 4 weeks, Mark has y = 80.04 dollars left on the card. We'll plot the point (4, 80.04). Then we connect those points with a straight line.
Check out the diagram below.The location of (4, 80.04) can be visually marked as (4,80) since it's close enough in my opinion.
x =
A )10
B) 8
C) 9
Help me please this note is just so it will stop saying this is to short
Answer:
8
Step-by-step explanation:
it just makes sense, 5=10, therefore 4=8.
Write 1.42 as a mixed number in simplest form.
1.42=
The decimal is repeating
Answer:
71/50
Step-by-step explanation:
In a random sample of 520 adults, the mean was 150 and the standard deviation was 4. 5. The study was reported with a 95% confidence level, and the confidence interval for the study was 150 ± 0. 39. What range of values shows the confidence interval for the study? 146. 1 to 153. 9 149. 61 to 150. 39 150 to 150. 39 150 to 153. 9.
Using the principle of confidence interval, the range which shows the confidence interval of the study is (149.61 ; 150.39)
The confidence interval is defined thus :
150 ± 0. 39Lower boundary = 150 - 0.39 = 149.61
Upper boundary = 150 + 0.39 = 150.39
Therefore, the confidence interval for the study would be (149.61 ; 150.39)
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help me plz with this
Answer:
1-a
2-e
3-d
4- c
5- b
Step-by-step explanation:
Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating. 20% tip on a bill of $123.42 The amount of the tip is approximately $
Answer:
$24
Step-by-step explanation:
First, we round to the nearest tenth.
$120
Now, we calculate the tip amount.
[tex].20 * 120 = 24[/tex]
A stadium has fixed expenses of $20,000 per event. Last month it put on three big events and spent $50,000, $35,000, and 40,000 in advertising for them respectively. These events ended up earning a total of $500,000 in revenue. What was the stadium's profit margin last month?
Answer:
315,000
Step-by-step explanation:
(50,000+20,000)+(35,000+20,000)+(40,000+20,000)=185,000
500,000-185,000=315,000
kelsey bought a new jackat. the jackat costs $ 150.00 she will pay 7% in sales tax how much money will she pay in sales tax
Answer:
10.50
Step-by-step explanation:
Answer:
she will pay $10.50 in sales tax and $160.50 in total
Step-by-step explanation:
first, find 7% of 150.
150*.07=10.5
add 10.5 to the total
Grade 7 students were surveyed to determine how many hours a day they spent on various activities. The results are represented in the circle graph below. About how much time altogether was spent on homework and eating?
Can Someone Help me please
Answer:
As no graph is provided you can only solve it.Steps provided below
Graph of 7students so there must be 7 partsMark the point on graph where home work and painting is mentioned.Add both the respective valuesYes you have done it
four w plus ten equals negative w
Answer:
4w+10=-w
w=-2
Step-by-step explanation:
First, write out the equation in the algebraic form to make it easier to solve. This equation written out is 4w+10=-w. Then, isolate the variable and solve. Do this by subtracting 4w from both sides. Then, divide both sides by -5.
4w+10=-w10=-5w-2=wx=-5y+2
x=3y-2
elmantion or substutuion
Answer:
y = 1/2
Step-by-step explanation:
x = -5y+2
x=3y-2
substitute for x ans solve
3y-2=-5y+2
8y-2=2
8y = 4
y= 4/8
y=1/2
A line goes through the points (5, -1) and (7, -5). What is a possible equation to a new line that is perpendicular?
Ok, so you are given an equation in standard form, 5x+4y=2, and a point, (7, 5). You are being asked to write the equation for a line that is parallel to the equation in standard from, and that includes the point (7, 5).
First, let's start by finding the slope of your new line. We know that it needs to have the same slope as 5x+4y=2, because parallel lines have the same slopes. To do that, we need to put the equation into slope-intercept form (y=mx+b), which means we need to isolate the "y."
5x+4y=2
-5x -5x (subtract 5x from both sides to move it to the right side of your equation)
4y = 2 - 5x
/4 /4 /4 (divide all the terms by 4 to get "y" by itself)
y = (1/2) - (5/4)x ... I suggest leaving your slope as a fraction.
Now, we know that our slope, m , is going to be -(5/4).
Next, we are going to use our slope, -(5/4), and point, (7, 5), to find the b-value (y-intercept) of your new line. Let's plug in what we know:
y = 5
m = -(5/4)
x = 7
y=mx+b
5=(-5/4)(7) + b -> I plugged in what we knew for y, m, and x.
5 = -(35/4) + b -> I multiplied the numbers in the numerator (5 x 7) to get 35/4
20/4 = -(35/4) + b -> I converted 5 into a faction with a denominator of 4 by multiplying by (4/4)
+(35/4) +(35/4) -> I add (35/4) to both sides to isolate b
55/4 = b ... or b = 13.74
Answer:
m = -(5/4)
b = 13.75
The equation perpendicular to the line going through the points (5, -1) and (7, -5) is [tex]y=\frac{1}{2} x-\frac{7}{2}[/tex]
The line passes through the points (5, -1) and (7, -5)
That is [tex]x_1=5, y_1=-1, x_2=7, y_2=-5[/tex]
Calculate the slope(m) using the formula below:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-5-(-1)}{7-5} \\\\m=\frac{-4}{2}\\\\m=-2[/tex]
The equation of the new line perpendicular to the line above will be given as:
[tex]y-y_1=\frac{-1}{m} (x-x_1)\\\\y-(-1)=\frac{-1}{-2} (x-5)\\\\y+1=\frac{1}{2}(x-5)\\\\y=\frac{1}{2} x-\frac{5}{2} -1\\\\y=\frac{1}{2} x-\frac{7}{2}[/tex]
The equation perpendicular to the line going through the points (5, -1) and (7, -5) is [tex]y=\frac{1}{2} x-\frac{7}{2}[/tex]
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Find the perimeter. Simplify your answer.
Answer:
20u-26
Step-by-step explanation:
To find the perimeter we have to add up all the sides
9u-6+u-7+9u-6+u-7
Combine light terms and we get
20u-26
An acute angle of a right-angled triangle is twice the other acute ongle find them
Answer:
30° and 60°Step-by-step explanation:
An acute angle of a right-angled triangle is twice the other acute ongle find them
the sum of the internal angles of a triangle is 180 °, take away the right angle (90 °) and divide by three, and you find one of the unknown angles, you multiply it by 2 and you find the other unknown angle
(180 - 90) : 3 = 30
30 * 2 = 60
----------------------
check
90 + 30 + 60 = 180°
the answer is good
15. (07.05 MC)
What is the solution to the equation 5x + 2(x - 4) = 5x + X - 10?
Answer:
x = -2
Step-by-step explanation:
5x + 2(x - 4) = 5x + x - 10
→ Expand the brackets
5x + 2x - 8 = 5x + x - 10
→ Collect the x terms
7x - 8 = 6x - 10
→ Minus 6x from both sides
x - 8 = -10
→ Add -8 to both sides
x = -2
Item 38 Pre-Test: What category of magazine saw the largest number of new titles during the late 1800s
Answer:
Women's magazines
Step-by-step explanation:
help me please!!!??
Answer:
1/6
0.95833333333
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
1/6 (1/4) + 17/24 = 1/24 + 17/24
=3/4
Which statement is true regarding the functions in the graph?
F(6)=g(3)
F(3)=g(3)
F(3)=g(6)
F(6)=g(6)
Solve for b.
8b−1=24b+4
Enter your answer in the box.
Answer:
b=-5/16
Step-by-step explanation:
Sara took skydiving lessons. The Skydome charges $45 per hour for lessons. Sara also gave her Skydiving Instructor a tip of $20. Define the unknown in the scenario and assign it a letter or symbol. math
Answer:
45+20=t t=65
Step-by-step explanation:
t is my assigned letter
Hope this helps
Which is the function represented by the table?
Answer:
its the first one on the list bc when x is 0 you get f(x) = 1 and thats the only fjnction that does that with all of them.
Answer:
f(x) = - 2x + 1
Step-by-step explanation:
The equation of a linear function in slope- intercept form is
f(x) = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (2, - 3) ← 2 ordered pairs from the table
m = [tex]\frac{-3-3}{2-(-1)}[/tex] = [tex]\frac{-6}{2+1}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
The function crosses the y- axis at (0, 1 ) ⇒ c = 1
f(x) = - 2x + 1
Write an equation in standard form for a line that is (a) parallel (b) perpendicular to the line with an equation of 5 3 − = x y that passes through the point (8, 5).
Answer:
e
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPP
Answer:
HWHAHAHAHA hatdog
jejdisisisiwis
PLEASE HELP ME NOW!!!!! ILL GIVE BRAINLIEST!!!
Answer:
its C. 17/10
Bcs 3/2
=1.5
And on the figure shown 1.5 comes in c
Mark me BRAINLIESTHi i need the answer to this asap please
2 divided by 3
please explain how you got answer like show work
please do not answer in decimal form or the answer from go ogle
and please dont just answer for points
Which expression has a sum of one and eight thirtieths?
Question 5 options:
three sixths + three fifths
four sixths + three fifths
four sixths + four fifths
five sixths + one fifth
Answer:
[tex]\frac{4}{6}+\frac{3}{5}[/tex]
Step-by-step explanation:
1 + [tex]\frac{8}{30}[/tex] = [tex]\frac{30}{30}[/tex] + [tex]\frac{8}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]
[tex]\frac{3}{6}[/tex] + [tex]\frac{3}{5}[/tex] = [tex]\frac{3.5}{6.5} + \frac{3.6}{5.6}[/tex] = [tex]\frac{15}{30} + \frac{18}{30} = \frac{33}{30}[/tex] = [tex]\frac{11}{10}[/tex]
[tex]\frac{4}{6} + \frac{3}{5} = \frac{4.5}{6.5} + \frac{3.6}{5.6} = \frac{20}{30} + \frac{18}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]
[tex]\frac{4}{6} + \frac{4}{5} = \frac{4.5}{6.5} + \frac{4.6}{5.6} =\frac{20}{30}+\frac{24}{30}[/tex] = [tex]\frac{44}{30}[/tex] = [tex]\frac{22}{15}[/tex]
[tex]\frac{5}{6}+\frac{1}{5}=\frac{5.5}{6.5}+\frac{1.6}{5.6}=\frac{25}{30}+\frac{6}{30}=\frac{31}{30}[/tex]
Can sides with lengths of 8, 3, 8 form a triangle
Answer:
Yes, sides with lengths of 8, 3, 8 can form a triangle. The type of triangle sides with these lengths would form is called an isosceles triangle. Isosceles triangles have three sides, two of which are equal.
reduce 4/36 to simplest terms
a. 1/8
b. 2/13
c. 1/9
d. 2/12
PLS ANSWER THISS :D
Answer:
C
Step-by-step explanation:
HCF of 4 and 36 is 4
Divide the numerator and denominator by 4
[tex]\dfrac{4}{36}=\dfrac{4*1}{4*9}=\dfrac{1}{9}[/tex]
can someone help mee pleaseee
f(x) = x^2 - 13x + 30
Step-by-step explanation:
A quadratic equation may be expressed as a product of the two binomials. The roots of the equations are 3 and 10, so the factors are (x-3) and (x-10).
f(x) = (x-3)(x-10)
f(x) = x^2 - 13x + 30