Answer:
See below
Step-by-step explanation:
20% loss a year with initial value of £6000 can be shown as function:
V(t) = 6000*0.8^tV(t) - is the value after t years
a) t = 1 year
V(1) = 6000*0.8 = £4800b) t = 3 years
V(3) = 6000*0.8^3 = £3072c) t = 8 years
V(8) = 6000*0.8^8 = £1006.63For these questions, give your answers to 1 decimal place.
a) Change 5 out of 19 to a percentage
b) Change 72 out of 123 to a percentage
Answer:
a) 26.3% b) 58.5%
Step-by-step explanation:
(5/19) * 100 = 26.3
(72/123) * 100 = 58.5
A box of candy contains three times as many cherry pieces. It hasfour more grape pieces than cherry pieces. There are 46 total pieces in the box. How many cherry pieces are in the box
Answer:
The number of cheery pieces in the box are [tex]18[/tex].
Step-by-step explanation:
Let the number of orange pieces in the box be [tex]x[/tex].
The box contains three times as many cherry pieces as orange pieces.
So, the number of cherry pieces in the box be [tex]3x[/tex].
It has four more grape pieces than cherry pieces.
So, the number of grape pieces in the box be [tex]3x+4[/tex].
There are [tex]46[/tex] total pieces in the box.
So, [tex]x+3x+3x+4=46[/tex]
[tex]\Rightarrow 7x+4=46[/tex]
[tex]\Rightarrow 7x=46-4[/tex]
[tex]\Rightarrow 7x=42[/tex]
[tex]\Rightarrow x=\frac{42}{7}[/tex]
[tex]\Rightarrow x=6[/tex]
So, the number of cherry pieces [tex]=3x=3\times 6=18[/tex].
Hence, the number of cheery pieces in the box are [tex]18[/tex].
Plzz help!!
Identify each pair of congruent corresponding parts with justifications.
"pioneer logs" is a brand of children's toy which is sold in large cylindrical container.
diameter = 29.5cm
height= 27.5cm
what is the surface area of the lateral side ( the curved part)?
Answer:
πd X 27.5
π X 29.5 X 27.5= 2548.61704
2548.62cm
Put the following least you greatest
125%
1 1/2
1.26
Answer:
...
Step-by-step explanation:
Answer:
125 is 1 1/4
so it would b before 1 1/2
and is im right it would b
1.26
125%
1 1/2
Step-by-step explanation:
What is the approximate what is the approximate area of the circle shown below?
A. 908 cm2
B. 53 cm2
c. 3630 cm2
D. 107 cm2
The area of the circle is around 908 square centimeters, so the correct option is A.
How to find the area of the circle?The area of a circle of radius R is given by:
A = pi*R²
Where pi is an irrational number, and we can write it as pi = 3.14
Here we can see that the radius of the circle is 17cm, then we can replace that in the area formula to get:
A = 3.14*(17cm)² = 908 cm²
Then the corret option is A.
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Mrs. Carter needs 1/2 meter of cloth to make a pillowcase. How many pillowcases can she make with 5 meters of cloth?
when f(n) =12, what is rhe value of n
Answer:
When f(n) = 12, what is the value of n? Answer: n=5
Step-by-step explanation:
An artist mixes 25 ounce of blue paint with 115 ounce of green paint. Using the same ratio, how many ounces of green paint should she mix with 3 ounces of blue paint?
Answer:
Ounces of green paint needed = 13.8
Step-by-step explanation:
Blue paint : green paint = 25 : 115
how many ounces of green paint should she mix with 3 ounces of blue paint?
Let
Ounces of green paint needed = x
Blue paint : green paint = 3 : x
Equate both ratios
25 : 115 = 3 : x
25/115 = 3/x
25 * x = 115 * 3
25x = 345
x = 345/25
x = 13.8 ounces
Ounces of green paint needed = 13.8
A piece of wire is 76cm long. It is cut into two unequal parts and each part is bent into a square. The sum of the areas of the two squares is 205cm². Find the length of the shorter part of the wire.
Answer:
The length of the shorter part of the wire is 24 centimeters.
Step-by-step explanation:
Let [tex]L[/tex] the total length of the piece of wire, where [tex]L-x[/tex] and [tex]x[/tex] are the perimeters of the greater and lesser squares. All lengths are measured in centimeters. Since squares have four sides of equal length, the side lengths for the greater and lesser squares are [tex]\frac{L-x}{4}[/tex] and [tex]\frac{x}{4}[/tex]. From statement we find that the sum of the areas of the two squares ([tex]A[/tex]), measured in square centimeters, is represented by the following expression:
[tex]A = \left(\frac{L-x}{4} \right)^{2}+\left(\frac{x}{4} \right)^{2}[/tex] (1)
And we expand this polynomial below:
[tex]A = \frac{L^{2}-2\cdot L\cdot x +x^{2}}{16} + \frac{x^{2}}{16}[/tex]
[tex]A = \frac{L^{2}-2\cdot L\cdot x +2\cdot x^{2}}{16}[/tex]
[tex]2\cdot x^{2}-2\cdot L\cdot x +L^{2}-16\cdot A = 0[/tex] (2)
If we know that [tex]L = 76\,cm[/tex] and [tex]A = 205\,cm^{2 }[/tex], then the length of the shorter part of the wire is:
[tex]2\cdot x^{2}-152\cdot x +2496 = 0[/tex]
By the Quadratic Formula, we determine the roots associated with the polynomial:
[tex]x_{1} = 52\,cm[/tex], [tex]x_{2} = 24\,cm[/tex]
The length of the shorter part of the wire corresponds to the second root. Hence, the length of the shorter part of the wire is 24 centimeters.
Lynn has a box of crayons.
4/9 of the crayons are blue
65% of the remaining crayons are red.
The other 14 crayons are yellow.
How many crayons are in the box altogether?
Answer:
There are 72 crayons in the box
Step-by-step explanation:
Fractions
To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.
Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:
[tex]1-\frac{4}{9}=\frac{5}{9}[/tex]
From that portion, 65% are red, or equivalently, 35% are yellow.
We write 35% as a fraction:
[tex]\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}[/tex]
Thus, the portion of yellow crayons is:
[tex]\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}[/tex]
This fraction of x crayons is equal to 14, thus:
[tex]\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}[/tex]
x = 72
There are 72 crayons in the box
2/3x+1=1/6x-7
What the answer solve for 15 points !!
Answer:
The value of x is -16.
Step-by-step explanation:
☆Let's solve!
[tex] \: \: \: \: \: \: \: \: \: \: \frac{2}{3} x + 1 = \frac{1}{6} x - 7 \\ \frac{ - \frac{1}{6}x \: \: \: \: \: \: \: \: \: = - \frac{1}6{x} }{ \frac{1}{2}x + 1 = - 7} \\ \: \: \: \: \: \frac{ - 1 = - 1}{ \frac{ \frac{1}{2} x}{ \frac{1}{2} } = \frac{ - 8}{ \frac{1}{2} } } \\ x = - 16[/tex]
A computer was on sale for 270 if the original price was cut by 40% what was the original price
explain.
Answer: 108
Step-by-step explanation: The 40% percent taken away from $270 would be $108, because I round it to 50% percent off and that would $135 but since it's 40% off not 50% so I took away 10% from $135, and that's how I found my answer .
solve using roots please show work !! PLEASE HELPS SOMEONE (x+4)^2=0
Answer: I hope this helps^-^
Find the roots of (x+4)2=0 by solving for x
x=−4
Step-by-step explanation:
Solve for n: 2n < 6
Math pls answer this
Answer:
n can be a number less than 3
Step-by-step explanation:
Hope this helps!
Answer:
N<3
Step-by-step explanation:
Evaluate x−y if x=−5 1/4 and y=−6.8 . Write your answer in simplest form.
The answer i got is -1.55, im not sure though
The value of the given algebric expression is x - y when x=−5 1/4 and y=−6.8 will be 2.05.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
As per the given expression, x - y
x = - 5 1/4 = (-5 x 4 + 1)/4 = -19/4 = -4.75
y = -6.8
Substitute x and y into the above expression,
-4.75 - (-6.8) = 2.05
Hence "The value of the given algebric expression is x - y when x=−5 1/4 and y=−6.8 will be 2.05".
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2 x + 4 x - 3 + 8 x + 18 = 43
whats x
Which is fraction is less 1/5 4/5?
Answer:
1/5
Step-by-step explanation:
Look at it this way; 1/5th of a pizza. Five parts of a pizza, you only have one. But 4/5? You have four slices of the pizza! Much more! Yum.
Answer:
1/5<4/5
Step-by-step explanation:
Eight is 1/5 of what number
Answer:
40
Step-by-step explanation:
8 = x/5
x = 8*5
x = 40
Help! I would appreciate it
The degree of the polynomial function below is ____
f(x)=-3x^5+4x-2
Answer:
the degree of the polynomial is 5
Answer:the
Step-by-step explanation:
What is the solution to this equation?
X/5 = 25
A. x = 20
B. x= 125
C. x = 5
D. x= 30
Answer:
A. x=20
Step-by-step explanation:
HELP PLEASE I WILL MARK BRAINLIEST IF RIGHT ANSWER!!
Answer:
Its XYW is half of LXYZ
Step-by-step explanation:
.
Answer:
this is the required solution
Guys can y'all help me out D:
Answer: a
Step-by-step explanation: thanks for being my friend and sorry if im wrong
Vineisha earned 22 out of 20 points on her science quiz over the phases of the moon due to an extra credit question. What percent did she earn on the quiz?
Vineisha earned 110 percent on the science quiz which was about the phases of the moon.
How to calculate the percent earned ?Vineisha earned 22 out of 20 points on her science quiz over the phases of the moon
The percent earned can be calculated by dividing 20 by 22 and then multiplying the result by 100
22/20 × 100
= 1.1 × 100= 110
Hence the percent she earned on the quiz is 110%
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JODJODODODODODOOODODODDOOOODODODOD
Answer:
thx for the free points
Step-by-step explanation:
this is part three of four
Answer:
D. 275
Step-by-step explanation:
400/2... So just do 550/2 and you will get your answer
Help me please please please please
Answer:
-4r + 9
Step-by-step explanation:
Join the r terms, you get -4r, join the numbers, you get 9.
Hope it helps!
Which ratio does not belong with the other three?
Please choose ABCD when answering also :DD
Answer:
The answer is B
Step-by-step explanation:
All other fractions when simplified are equal to 2/5
Mario's Pizza just received two big orders from customers throwing parties. The first customer, Amelia, bought 10 regular pizzas and 1 deluxe pizza and paid $133. The second customer, Jaden, ordered 7 regular pizzas and 9 deluxe pizzas, paying a total of $284. What is the price of each pizza?
Answer:
The regular costs 11 dollars each while the deluxe cost 23 each.
Step-by-step explanation:
You need to setup two equations.I used two variable for the prices of the types of pizzas because they are unknown.I used x for the cost of regular and y for the cost of deluxe.The equation I did are 10x+y=133 and 7x+9y=284.You need to solve one equation only.I solved the first one.