[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\pounds 4679.43\\ P=\textit{original amount deposited}\dotfill &\pounds 4000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years \end{cases}[/tex]
[tex]4679.43=4000\left(1+\frac{0.04}{1}\right)^{1\cdot t}\implies \cfrac{4679.43}{4000}=(1.04)^t \\\\\\ \log\left( \cfrac{4679.43}{4000} \right)=\log(1.04^t)\implies \log\left( \cfrac{4679.43}{4000} \right)=t\log(1.04) \\\\\\ \cfrac{\log\left( \frac{4679.43}{4000} \right)}{\log(1.04)}=t\implies 4\approx t[/tex]
-3x - 4 = -5y -8 y-intercept and x-intercept
Answer:
y-intercept: -0.8
x-intercept: 1.333
Select the correct answer. What is the vertex of the parabola given by y = -(x − 2)^2 − 1?
Answer:
vertex: -2,1
Step-by-step explanation:
You need to graph it.
The distance from O to A is 3 and the distance from A to A prime is 3. The diagram shows a dilation. Which dilation does it represent? What is the scale factor?.
The dilation which represented by the line is enlargement and the scale factor of dilation is 2.
What is the dilation of the figure?Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.
The distance from O to A is 3. Therefore,
[tex]OA=3[/tex]
The distance from A to A prime is 3. Therefore,
[tex]AA'=3[/tex]
Here, the new length of the line segment is,
[tex]OA'=OA+AA'\\OA'=3+3\\OA'=6[/tex]
The scale factor of dilation is,
[tex]r=\dfrac{OA'}{OA}\\r=\dfrac{6}{3}\\r=2[/tex]
The scale factor is 2 and the image is enlarged.
Hence, the dilation which represented by the line is enlargement and the scale factor of dilation is 2.
Learn more about the dilation of the figure here;
https://brainly.com/question/3457976
Answer:
enlargement
2
Step-by-step explanation:
PLS HELP ME ASAP I WILL GIVE YOU 43 POINTS
The diagram shows 3/4 of a fraction strip shaded. Mary erases some of the shadings to show 5/8. Explain the steps she took to shade 5/8 of the fraction strip.
Answer:
a 8 parts b 8 3|4 = 3×2|4×2=b|8
Step-by-step explanation:
find x using Pythagoras theorem
Answer:
x = 3
Step-by-step explanation:
The Pythagorean theorem tells you the sum of squares of the legs is equal to the square of the hypotenuse. In this geometry, a radius from the circle center to point T is length x, and is one leg of the right triangle.
x^2 +4^2 = (x +2)^2
x^2 +16 = x^2 +4x +4 . . . . . expand
12 = 4x . . . . . . . . . . . . . subtract (x^2 +4)
3 = x . . . . . . . divide by 4
The radius of the circle is 3 cm.
is this correct or it needs any fixing
Can someone help me please and have an explanation :)
Answer:
ok so lets find the difference on the table
from 5 to 8 is goes up 250.5(668-417.5)
so that means 3 tickets goes 250.5 so lets divide by 3
250.5 divide by 3=83.5 per ticket
83.5*6=501
501
Hope This Helps!!!
Answer:
Equation : $83.50x = Cost of the tickets
(where x = number of tickets)
Cost of 6 tickets : $501
Step-by-step explanation:
I'm not sure if this is the way they want you to do it, but what I did is :
1) Solve a proportion to figure out the cost of 1 ticket
5/417.50 = 1/x
5x = 417.50(1)
5x/5 = 417.50/5
x = 83.50
So, the cost of 1 ticket is $83.50
2) Create an equation
If x equals the number of tickets :
83.50x = Cost of the tickets
3) Solve for 6 tickets
83.50(6) = Cost of the tickets
501 = Cost of the tickets
Substitute x for the number of tickets, which is 6 and you'll get $501 :)
Dave buys a coat for £20, a hat for £15 and a pair of gloves for £5.
Later, he sells the coat at 50% profit. He sells the hat for £18 but has to sell the gloves at a 20% loss.
What is his overall percentage profit?
Answer:
30%
Step-by-step explanation:
Purchases:
Coat £20
Hat £15
Gloves for £5
Total amount of purchases: £20 + £15 + £5 = £40
Sales:
Coat at 50% profit: 150% × £20 = 1.5 × £20 = £30
Hat: £18
Gloves at a 20% loss: 80% of £5 = £4
Total amount of sales: £30 + £18 + £4 = £52
Amount of profit: £52 - £40 = £12
Percent of profit: £12 / £40 × 100% = 30%
Use the graph to write a linear function that relates y to x
Answer:
y = [tex]\frac{4}{3} x + 2[/tex]
Answer:
Y=4/3x+2
Step-by-step explanation:
The slope is 4/3 because i counted 3 spaces to the right and 4 spaces up which is 4/3 and the starting point is 2 which is where it crosses on the y intercept hope this helps! :)
Write the point slope form of the equation of the line through the given points: (4,-1) and (-3,1)
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{4}}}\implies \cfrac{1+1}{-7}\implies -\cfrac{2}{7}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-\cfrac{2}{7}}(x-\stackrel{x_1}{4})\implies y+1=-\cfrac{2}{7}(x-4) \\\\\\ y+1=-\cfrac{2}{7}x+\cfrac{8}{7}\implies y=-\cfrac{2}{7}x+\cfrac{8}{7}-1\implies y=-\cfrac{2}{7}x+\cfrac{1}{7}[/tex]
A base is labeled on the triangle below. B. C 7 * base Which line segment shows the height that corresponds to the given base of the triangle?
Answer: A
Step-by-step explanation:
Looks like A, since it's the altitude.
The band director at a high school wants to know what percentage of parents supports a decrease in the budget for fine arts. Because many parents attend the school’s annual musical, the director surveys the first 30 parents who arrive at the show. Explain why this sampling method is biased. Is the proportion of parents in the sample who support the decrease likely greater than or less than the proportion of all parents in the school who support the decrease?
Using sampling concepts, it is found that the sampled is biased because only parents who attend the school's musical show are surveyed, hence they are not very likely to support the decrease, and the population proportion should be greater than the one found in the show.
How are samples classified?Samples may be classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.A sample has to take into account all aspects of the population, otherwise it is biased. In this problem, either people support the decrease, or they do not. Only people that went to the show were surveyed, that is, people who are unlikely to support the decrease, which generates bias, as the population proportion should be greater than the one found in the show.
More can be learned about sampling concepts at https://brainly.com/question/25122507
find the constant term of -8x-5x^4-1-x^5/9+8x^3
PLS HELP THXS
a laptop computer is purchased for $1800. after each year the resale value decreases by 35%. what will the resale value be after 5 years? round to nearest dollar.
Answer:
1800-35%=1170
1170-35%=760,5
760,5-35%=494,325
494,325-35%=321,31
311,31-35%=208,85
after round it is 209
Answer:
$209
Step-by-step explanation:
1800-(1800*.35)=1170
1170-(1170*.35)=760.5
760.5-(760.5*.35)=494.325
494.325-(494.325*.35)=321.31125
321.31125-(321.31125*.35)=208.8523125
$209 after 5 years
Hope this helps
what is the Area of the parallelogram
Answer:
55
Step-by-step explanation:
The Distance between (-2, -5) and (-2, 6) is 11 and the distance between (-2, 5) and (3, 5) [the altitiude] is 5. 11 x 5 is 55 so therefore the area is 55 :)
help i give 5 stars and a crown
Answer:
false
Step-by-step explanation:
it cannot possibly be 180 because when you add up the other two together and then add 180 it is over 360 degrees
(PLEASE HELP!) (IM GIVING GOOD POINTS!) Michaela buys 2 cartons of eggs at $1.58 a carton, 415 pounds of ground turkey at $6.99 a pound, and a jar of strawberry jam for $4.38. She gives the cashier four $10 bills.
How much change will Michaela receive?
Enter your answer as a decimal rounded to the nearest hundredths place, if necessary, like this: 4.25
Answer:
Michaela gets 3.45$ back.
Step-by-step explanation:
1 carton of eggs = 1.58$
she buys 2, so 2 times 1.58= 3.16$
1 pound of turkey = 6.99$
she buys 4.15 pounds, so 4.15 times 6.99= 29.01$
she buys a jar of jam for 4.38$
4.38 + 3.16 + 29.01 = 36.55$
4 times 10= 40
40 - 36.55 = 3.45$
Answer:
$3.10
Step-by-step explanation:
The cost of the goods Michaela buys is ...
2 cartons eggs at $1.58 per carton = $3.16
4 1/5 pounds turkey at $6.99 per pound = $29.36
1 jar of jam at $4.38 per jar = $4.38
The total is then ...
$3.16 +29.36 +4.38 = $36.90
Four $10 bills will be $40, so the change is ...
$40 -36.90 = $3.10
Michaela will receive $3.10 in change.
_____
Additional comment
We know that Brainly often mangles mixed numbers, so we have assumed that "415" is intended to be 4 1/5. If it is intended to be 4.15 pounds, then the price of the turkey, and the change, will be different by about $0.35. Michaela's change will increase by that amount.
What is another way of saying that Janelle can ride her bike at a rate of 15 kilometers per hour?
Answer:
Janelle can ride her bike at a rate of 9.32 miles per hour
Step-by-step explanation:
15 kilometers is 9.32 miles
A shirt is on sale for 30% off the regular price. The regular price is $27.00.
What is the sale price?
$8.10
$18.20
$18.90
$18.80
Answer:
18.90
Step-by-step explanation:
what should be subtracted from
[tex] {a}^{2} - 7ab \: + {3b}^{2} [/tex]
to get
[tex]( - 4 {a}^{2} + 6ab \: + 3 {b}^{2} )[/tex]
?
-5a²+13ab should be subtracted.
Step-by-step explanation:-Based on the given conditions, formulate,
[tex]→- {a}^{2} - 4 {a}^{2} + 13ab[/tex]
[tex]→-({a}^{2} - 4 {a}^{2}) + 13ab[/tex]
Taking the coefficients or numbers, we get,
[tex]→(- 1 - 4) {a}^{2} + 13ab[/tex]
[tex]→ - 5 {a}^{2} + 13ab[/tex]
Given :
What should be subtracted from a² – 7ab + 3b² to get – 4a² + 6ab + 3b² ?
Solution :
Let the required expression to be subtracted be x
⇢ a² – 7ab + 3b² – x = – 4a² + 6ab + 3b²
⇢ a² – 7ab + 3b² – (– 4a² + 6ab + 3b²) = x
⇢ a² – 7ab + 3b² + 4a² – 6ab – 3b² = x
Combining the like terms :
⇢ a² + 4a² – 7ab – 6ab + 3b² – 3b² = x
⇢ 5a² – 13ab = x
⇢ x = 5a² – 13ab
Therefore,
5a² – 13ab should be subtracted from a² – 7ab + 3b² to get – 4a² + 6ab + 3b².
If line m bisects AB at point P, and if AP= 1/2 y and PB= y-2, then find AB
Answer:
the answer is twenty four
help with angle sum theorem please
Please factor 4n + 4 x 2
Answer:
4 ( n + 2 )
[tex]4(n + 2)[/tex]
HELP ME PLEASE!! the inequality X <38 can be used to represent how much water is in a swimming pool. where X is the volume of water in the pool in cubic meters. Which of these statement BEST describes how much water is in the swimming pool?
Answer:
x < 38 represents that there is less than 38 cubic meters of water in the pool.
Step-by-step explanation:
" < " sign represents less than.
" > " sign represents more than.
" ≥ " sign represents at least or more than.
" ≤ "sign represents at least or less than.
Answer:
B
Step-by-step explanation:
The sign < means less than
Given x is the volume of the pool
Therefore, x < 38 means the volume of the pool is less than 38 m³
For information, the statements written as inequalities would be
A: x > 38
B: x < 38
C: x ≥ 38
D: x ≤ 38
i need help on 10 please
Angle 1 = 54.
Step-by-step explanation:
54+36= 90 or 90-36=54
help mee its due today at 3:00am
Answer:
Here is the answer......hope u understand...
x^2(x+2)(x+6)=0
What are the solutions to the equation?
Answer:
3 solutions
Step-by-step explanation:
x = 0; x = 2; x = -6
As we are given with an equation as follows :
[tex]{:\implies \quad \sf x^{2}(x+2)(x+6)=0}[/tex]
As product of these three factors is equal . So , any of these factor can be 0 as product is 0 only when one of the expressions which are multiplied is 0. So , 3 cases arises as follows ;
Case I :-[tex]{:\implies \quad \sf x^{2}=0}[/tex]
On raising ½ power to both sides we have ;
[tex]{:\implies \quad \sf x=\pm \: 0}[/tex]
Now , as +0 and -0 have no difference in them . So , it's simply 0
[tex]{:\implies \quad \sf So\quad x=0}[/tex]
Case II :-[tex]{:\implies \quad \sf x+2=0}[/tex]
[tex]{:\implies \quad \sf So\quad x=-2}[/tex]
Case III :-[tex]{:\implies \quad \sf x+6=0}[/tex]
[tex]{:\implies \quad \sf So\quad x=-6}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Hence \:\: x\in \{0,\: -6,\: -2\}}}}[/tex]
What is the value of x in the equation 2. 5 minus 0. 25 x = negative 3? –22 –1. 1 1. 1 22.
please answer quickly attachment is under this little message
Answer:
315 dm3
Step-by-step explanation:
[tex]V=\frac{lwh}{3} \\\V=\frac{9*7*15}{3} \\V=\frac{945}{3} \\V=315[/tex]
find the value of 16 to the power of 3/4
Answer:
8
Step-by-step explanation:
If we write this as an expression it looks like [tex]16^{\frac{3}{4} }[/tex]
Multiply the top number of the fraction by itself to find its square. Write the result and place the fraction line below it.