Answer:
The base salary was £21,500.
Step-by-step explanation:
Giving the following information:
Increase rate (g)= 12%
New salary= £24,080
To calculate the base salary, we need to use the following formula:
Base salary= new salary / (1 + increase rate)
Base salary= 24,080 / (1.12)
Base salary= £21,500
The base salary was £21,500.
A total of 394 people got on a boat that already had 108 people on it.
what is the best estimate for the total number of people on the boat?
Answer:
502
Step-by-step explanation:
394+108
Answer:
500 is my best answer
Step-by-step explanation:
For the equation y = 2x2 − 5x + 18, choose the correct application of the quadratic formula.
What is the surface area of the composite solid?
A rectangular prism with a length of 2 meters, width of 8 meters, and height of 2 meters. A rectangular prism with a length of 2 meters, with of 3 meters, and height of 11 meters.
Answer:
162 m^2
Step-by-step explanation:
Tops:
The area of the high top is 3*2 = 6
The area of the lower top is 5*2 = 10
--------
16
Bottom:
The area of the bottom is 8*2 =16
Back:
The area of the back is 2*11 = 22
Front:
The top front is 9*2 =18
The bottom front is 2*2 =4
-------------------------------------------
22
Sides
The area of the left side is
vertical piece 11*3 =33
horizontal piece 5*2 = 10
-------------
43
The right side is the same = 33+10 = 43
Add them together
top+bottom+ back+front+left+right
16+16+22+22+43+43 =162 m^2
Correctly order the steps to solve the equation below.
2(x + 5) + 3 = 4(x + 2) -11
= Use the distributive property on both sides
= "Undo" addition to isolate the variable term
= Identify and combine any like terms
= "Undo" multiplication to isolate the variable
Answer:
See belowStep-by-step explanation:
Solution
2(x + 5) + 3 = 4(x + 2) - 112x + 10 + 3 = 4x + 8 - 112x + 13 = 4x - 34x - 2x = 13 + 32x = 16x = 16/2x = 8Order of operations
= Use the distributive property on both sides= Identify and combine any like terms= "Undo" addition to isolate the variable term= "Undo" multiplication to isolate the variableA cylinder and a cone have the same volume. The cylinder has radius x and height y . The cone has radius 1/2x . Find the height of the cone in terms of y .
Answer:
height = 1/4y
Step-by-step explanation:
V(cylinder) = πr²h
V(cone) = πr²h ÷ 3
V(cyl) = πx²y
V(cone) = π(1/2x)²y which simplifies to be πx²y ÷ 4
πx²y = πx²y ÷ 4
if you divide each side by πx² you get:
y = y/4
height is 1/4y
Linda performed a computation using her calculator. The display on her calculator showed the answer as 6.1 E -4. Which numbers are equivalent to the number displayed in Linda’s calculator? Select all that apply.
Answer:c and f
Step-by-step explanation:
6.1E-4= 6.1 x 10^⁴ =0.00061
please help guys!!
2.
Recall that
lines never intersect. This is because they have the
same
and different
If their y-intercepts were also the
same, then the lines would
and intersect everywhere. Lines that intersect
to form right angles are called
. When we constructed perpendicular lines,
we
the points of a line 90 degrees. This is how the
angles were created. Algebraically, we say that the slopes are
reciprocals meaning that their slopes have opposite
and flipped
You can check by multiplying them. The
of negative
reciprocals is -1.
Word Bank:
negative
slope
perpendicular
rotated
product
overlap
right
parallel
signs
y-intercept
fractions
Answer:
and the question is? I'm confused
Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed distance, the speed R varies inversely with the time T. In one particular pair of markings, R 58 is mph when T is 7 seconds. Find the speed of a car that travels the given distance in 9 seconds.
Answer: [tex]45.11\ mph[/tex]
Step-by-step explanation:
Given
Speed R varies inversely with time T i.e.
[tex]R\propto \dfrac{1}{T}\\\\R=\dfrac{C}{T}\quad [\text{C=constant}][/tex]
when R=58 mph, T=7 s i.e.
[tex]58=\dfrac{C}{7}\quad \ldots(i)[/tex]
when T=9 s
[tex]R=\dfrac{C}{7}\quad \ldots(ii)[/tex]
Divide (i) and (ii)
[tex]\Rightarrow \dfrac{58}{R}=\dfrac{9}{7}\\\\\Rightarrow R=\dfrac{7}{9}\times 58\\\\\Rightarrow R=45.11\ mph[/tex]
1. what is the exact demical value of 225/16?
2. what is the exact decimal value of 77/12?
Answer:
14.0625 = [tex]\frac{225}{16}[/tex]
6.41666666666... = [tex]\frac{77}{12}[/tex]
Hope that this helps!
The area of a rectangle is n^2+6n-27. One side of the rectangle is n + 9. What is the length of the
remaining side?
[tex]n^2 +6n-27 = n^2+6n-27+0\\~\\n^2+6n-27+0 = n^2+6n-27+(3n-3n) \\~\\n^2+6n-27+(3n-3n) = n^2+9n-3n-27\\~\\n^2+9n-3n-27 = n\cdot(n+9)-3\cdot(n+9) \\~\\n\cdot(n+9)-3\cdot(n+9) = (n+9)(n-3)[/tex]
The other side is n-3
A coffee roaster is designing a coffee can that can be modeled with a right cylinder for its new Breakfast Blend . Breakfast Blend costs the roaster $0.03 per cubic inch to produce. The roaster wants the can to contain an amount of coffee that will cost him no more than $7.50 to produce. Given that the height of the can is to be equal to its diameter, what is the maximum height allowable for the can? Round to the nearest tenth of an inch.
Answer: 6.8 inches
Step-by-step explanation:
Which property or postulate is shown? If A=B and B=C, then A=C.
Subtraction Postulate
Symmetric Property
Transitive Property
Reflexive Property
This is the transitive property :)
What is the volume of a sphere with a diameter of 9.1 m, rounded to the nearest tenth of a cubic meter?
Answer: 394.6 m^3
Step-by-step explanation:
-
Describe the transformation
Linda invested $12,500 in an
account that earns 4.5% interest,
compounded monthly. What is
the value of the account after
4 years? Round your answer to
the nearest cent.
Answer:
12500
Step-by-step explanation:
4.5 × 48=216.
12500 Plus 216= 12,716
The value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+r)^t[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
t = How long the money is deposited or borrowed (in years)
We have in the question:
p = $12,500
r = 4.5% ⇒ 0.045
t = 4 years ⇒ 4×12 ⇒ 48 months
Put the above values in the formula, we get;
[tex]\rm A = 12500(1+0.045)^4^8[/tex]
A = 12500×8.27145
A = $103393.20
Thus, the value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.
Learn more about the compound interest here:
brainly.com/question/26457073
hey! please help i’ll give brainliest
Answer:
A (Option 1)
Step-by-step explanation:
Answer:
A
hope this helps
have a good day :)
Step-by-step explanation:
Brad and Don went to the mall together. Brad spent $18 on food. Don spent twice the amount of money that Brad spent.
a) Write an algebraic equation to express how much Don spent and solve the equation you made.
b) Brad's sister had gone to the mall the day before and spent 30% of what Don did. How much did she spend?
c) If the tax rate was 13% how much of what Don and Brad spent was for tax?
Answer:
a). x=18x2
18x2=36
Don spent 36 dollars.
b). x=36x0.3
36x0.3=10.8
Brad's sister spent 10 dollars and 80 cents.
c). 36+18=54
1.0-0.13 = 0.87
54x0.87=46.98
54-46.98=7.02
Don and Brad paid 7 dollars and 2 cents in tax.
Which is not a solution of 5g - 6 => 24?
A. g=6
B. g=10
C. g. 20
D. g=-8
Answer:
A. g=6
Step-by-step explanation:
5g-6=24
5g=30
g=30/5
g=6
Answer:
D, g = -8
Step-by-step explanation:
5 (-8) - 6 => 24
-40 - 6 => 24
-46 is NOT greater than or equal to 24.
i need to gina the length of the side
Answer:
15
Step-by-step explanation:
9 squared + 12 squared = x squared
81 + 144 = x
81 + 144 = 225
the sqaure root of 225 = 15
Write the function tan([tex]\frac{3\pi }{4} -x[/tex]) as an expression involving functions of x only
Step-by-step explanation:
[tex] \tan( \frac{3\pi}{4}- x) = \frac{ \tan( \frac{3\pi}{4} ) - \tan(x) }{1 + \tan( \frac{3\pi}{4} ) \tan(x)} [/tex]
Since tan(3pi/4) = -1
[tex] \tan( \frac{3\pi}{4}- x) = \frac{ - 1 - \tan(x) }{1 - \tan(x)} [/tex]
[tex] = \frac{ \tan(x) + 1}{ \tan(x) - 1} [/tex]
An ice-cream store sold 70 sundaes. The ratio of
strawberry to chocolate sundaes was 3:4. How
many strawberry sundacs did they sell
Answer:
30 strawberry sundaes.
Step-by-step explanation:
We know there is a total of 70 sundaes.
3 sundaes will be strawberry.
4 sundaes will be choclate.
When you add 3 and 4 together, you get 7. This is your total ratio.
So 3/7 of the sundaes are strawberry.
And 4/7 of sundaes are choclate.
We know there is a total of 70 sundaes.
The total ratio we figured out is 7.
If the total sundaes is 70, and the total ration is 7. Then the total sundaes is 10 times bigger than the ratio.
This means we need to multiply the 3 strawberry sundaes and 4 choclate sundaes by 10.
3*10=30
4*10=40
So there are 30 strawberry sundaes and 40 choclate sundaes.
We need to find the strawberry sundae amount, so the answer is 30.
Hope this helps!
Find the value of x
Answer:
use Pisagorth theormi
23²=18²+x²
x²=23²-18²
23²=529
18²=324
x²=205
so the x =√205
its nearly equal 14.3.....
For some integer q, Every odd integer is of the form
(a) q (b) q+1 (c) 2q (d) 2q+1
Answer:
Every Odd Integer is of the form 2q+1
Take 5 as our test odd Number
2(5) + 1 = 11.
This works and Nothing else will from the set of Options.
SO OPTION D IS LEGIT!
what is the longest line segment that can be drawn in a right rectanglular prism that is 14 cm long 13 cm wide and 10 cm tall
Here's the revenue and expenses for the month. Calculate whenever Mia had a profit or loss.
Answer:$450 i think?
Step-by-step explanation:
A man works 6 hours overtime. His basic rate is $7.00 per hour. He is paid double time for overtime. What is his overtime pay
Answer:
His overtime pay is of $84.00.
Step-by-step explanation:
He is paid double time for overtime.
Basic rate of $7.00, overtime is double, so $7.00*2 = $14.00.
Worked 6 hours overtime:
So his overtime pay is:
$14.00*6 = $84.00
His overtime pay is of $84.00.
Find the amount each consent would carry if the total amount carried (5 cups) was redistributed equally among all contestants.
Answer:
Step-by-step explanation:
Given that :
Total amount in cups of green Ooze = 5 cups
From. The dot plot ; The total number of contestants obtained by counting each dot on the plot is 10
Hence ; amout received by each contestants given equal distribution :
5 cups / 10 = 1/2 cups
1/2 cups per contestant.
HELP PLEASEEEEEEE
Suppose x = 7 is a solution to the equation 4x – 2(x + a) = 8.
Find the value of a that makes the equation true.
-25
2
3
6
=> 4(7)–2(7+a)=8
=>28–14–2a=8=>14–2a=8=>-2a=8–14=>-2a=-6=>a=3need help in this question
Answer:
B) 9
Step-by-step explanation:
110 + 75 + 11x - 9 + 8x + 13 = 360
19x + 189 = 360
19x (+ 189 - 189) = 360 - 189
19x = 171
19x/19 = 171/19
x = 9
And the last part
Xxxxxxx
Answer:
(-1, -1)
Step-by-step explanation:
The previously obtained values of x and y are your coordinates, so you can just input them into the last part in the format (x, y).