Answer:
£3691 (nearest pound)
Step-by-step explanation:
Consider the rate of compound interest is r and the initial amount of savings is P, hence
[tex]P \ + \ P \ \times \ r \ = \ P \ (\ 1 \ + \ r \ ) \qquad (Final \ amount \ for \ the \ 1st \ year ) \\ \\ \ P \ (\ 1 \ + \ r \ ) \ + \ P \ (\ 1 \ + \ r \ ) \ \times \ r \ = \\ \ P\ ( \ 1\ + \ r \ ) \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^2 \qquad (Final \ amount \ for \ the \ 2nd \ year) \\ \\ \ P \ {(\ 1 \ + \ r \ )}^2 \ + \ P \ {(\ 1 \ + \ r \ )}^2 \ \times \ r \ = \\ \ P\ {( \ 1\ + \ r \ )}^2 \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^3 \\ \\ (Final \ amount \ for \ the \ 3rd \ year)...[/tex]
Therefore, the final amount of savings after nth years of compund interest is
[tex]P \ {( \ 1 \ + \ r \ )}^n[/tex].
Given that 4.2% compound interest was used for the first 4 years to a savings of £2350, thus
[tex]Final \ amount \ for \ the \ first \ 4 \ years \ = \ 2350 \ {( \ 1 \ + \ \frac{4.2}{100} \ )}^4 \ = \ 2770.36[/tex]
Then, taking the final amount of savings previously into an initial amount for the next 6 years with 4.9% compound interest.
[tex]2770.36 \ {( \ 1 + \frac{4.9}{100} \ )}^6 \ = \ 3691.40 \ = \ 3691 \ (nearest \ pound)[/tex]
. Osteen has 32 marbles in his collection. 18 of his marbles are red, four are blue, and the rest are
green. What part of Osteen's marbles are red?
A. 5/16
B. 9/16
C. 1/2
D. 2/3
Answer: B
Explanation:
32 marbles in total.
18 red marbles
4 blue marbles
10 green marbles.
You are asked what part of Osteen's marbles are red?
Probability = number of possible outcomes/total number of out outcomes.
P(Red) = 18/32 = 9/16
Both, 18 and 32 are divisible by 2 which gives 9/16. Since 9/16 cannot be reduced any further, we live it as it is. If you wanted to plug this into a calculator that would give 0.5625 which is 56.25% of Osteen's marbles are red.
P(Blue) = 4/32 = 1/8. 1/8 = 0.125 which 12.5% of his marbles are blue.
P(Green) = 10/32 = 5/16. 5/16= 0.3125 which 31.25 of his marbles are green. When you add 0.5625 + 0.125 + 0.3125 = 1 which is 100%. All probabilities add up to 1.
Hope this elaborate explanation helps.
Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $143.70.
Step-by-step explanation:
x = number of hours A
y = number of hours B
x + y = 23
5.7x + 7.1y = 143.7
from the first equation we get
x = 23 - y
and that we use in the second equation
5.7×(23 - y) + 7.1y = 143.7
131.1 - 5.7y + 7.1y = 143.7
1.4y = 12.6
y = 12.6/1.4 = 9
x = 23 - y = 23 - 9 = 14
she was working 14 hours on job A and 9 hours on job B.
Answer:
she is rich
Step-by-step explanation:
Are the figures below similar?
NO LINKS!! NEED ANSWER ASAP
Answer:
no
Step-by-step explanation:
Solve.
x/2=−0.73
What is the solution to the equation?
Enter your answer as a decimal in the box.
x =
x/2 = -0.73
To solve for x multiply both sides by 2:
x = -1.46
Solve. 213−12x=−23 Enter your answer in the box.
[tex]213 -12x = -23\\\\\implies 12x = 213 +23 = 236\\\\\implies x = \dfrac{236}{12}= \dfrac{59}3 = 19.67[/tex]
The value of x from the given equation is [tex]19\frac{2}{3}[/tex].
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given equation is 213-12x=-23.
Now, 213+23=12x
⇒ 12x=236
⇒ x=236/12
⇒ x=59/3
⇒ x=[tex]19\frac{2}{3}[/tex]
Therefore, the value of x is [tex]19\frac{2}{3}[/tex].
To learn more about the solution of an equation visit:
https://brainly.com/question/14506845.
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can someone help me with this
Your ship accidentally left an alien stranded at your starting location. How does the slope of this line compare with the slope of the line from the origin to the point (1, 4)? They are the same.
Answer:
no
Step-by-step explanation:
no I said no no nono nooooooo
Help due in 2 mins!!!!
What is the value of the expression below???
Answer:
A. 4
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Please help! Even 1 answer would be helpful
In the original equation, x is a variable, hence f(x). If that term in the parenthesis changes, such as to 0 or -2, we will plug in that number in place of the current variable.
f(0) = 4(0)^2 + 3 = 0 + 3 = 3
f(-2) = 4(-2)^2 + 3 = 4(4) + 3 = 16 + 3 = 19
Hope this helps! :)
The following is a linear inequality: y<6x-4
In the graph, will the line be solid or dashed?
1: Solid
2: Dashed
Answer:
it maybe solid
hope I'm correct if not then I'm sorry but I'm pretty sure it is solid
It costs Chevy $20,000,000 to develop and market a new model of a car. The company sells each car for $25,000, How many cars
must Chevy sell to make more than
$5,000,000 in profits?
Answer:
I believe it to be 1000 cars. Please look at solution to check if I did it the way your problem wants you to do it.
Step-by-step explanation:
Since Chevy needs to make 5,000,000 in profits, earns 25,000 per car, and had invested 20,000,000, we can set an equation with x being the number of cars:
5,000,000 = 25,000x -20,000,000
Notice how 20,000,000 is negative. This is because chevy starts with a negative amount of money (as they just spent it) and are wanting to earn it back. Anyway, lets solve this.
25,000,000=25,000x
x=1,000
we can see that chevy needs to sell more than 1000 cars to make a profit, however I'm unsure of the 25,000 part. This answer is assuming that they make 25,000 profit for each car.
easy one for you folks. show work.
who ate more?
Answer:
Regan ate more
Step-by-step explanation:
maggie: 5/8 of pizza to start
eats 1/4 of 5/8
1/4 times 5/8 gives 5/32
regan: 7/12 of pizza to start
eats 2/3 of 7/12
2/3 times 7/12 gives 14/36 or 7/18
7/18 > 5/32
Answer: Reagan
Step-by-step explanation: because 2/3 is more than 1/4
What type of triangle is this?
6
3
8
acute
obtuse
What is another way to represent 3%?
A) 0.3
B) 3
C) 0.03
D) 3/10
it's C 0.03
0.03= 3%
0.30= 30%
3.00= 300%
Fill with possible values to make the statement true in 2 diffrent ways:
35 is _% of _
Answer:
35 is 35% of 100 and 35 is 17.5% out of 200
Step-by-step explanation:
5 friends are sharing 8 pieces of pizza equally.How many pieces will each friend get to eat?
Answer:
8÷5 = 1 . 6
Step-by-step explanation:
They will divide the pizzas into 5 pieces further
Can you please help me with this question
Answer:
A. y ≥ -3x +4
Step-by-step explanation:
The boundary line crosses the y-axis at +4, so the y-intercept of it is +4. This eliminates choices C and D.
The shading is above the line, where y-values are greater than those on the line. This eliminates choice B.
The correct inequality is ...
A. y ≥ -3x +4
Please help with my math! I need the answer quick! :( *It's been so long since I've done the math LOL*
Answer:
unit rate 1:8
Step-by-step explanation:
the selling price for a pair of jeans is 39.98. There is a 4.5% sales tax on all purchases. How much would it cost to buy the jeans?
Answer:
$41.78
Step-by-step explanation:
tax is 4.5% on top of original price of 39.98
so multiplying 39.98 by 1.045 gives us 41.78
you multiply by 1.045 because 4.5% is the same as 0.045 and the 39.98 represents 100% of the price so it is 1 and you are paying 104.5% of that price for it when tax is included
Given SV//TU and SVX=UTX
Prove: VUTS is a parallelogram
Write a paragraph proof.
Thank you! :)
Answer:
ΔSVX ≅ ΔUTX Given
SV // TU Given
SV ≅ TU Corresponding part of congruent triangle
VUTS parallelogram Definition of parallelogram.
Hint: 1) If any one pair of opposite side is congruent and parallel, then the quadrilateral is parallelogram.
2) If two pair of opposite sides are parallel then it is a parallelogram.
Step-by-step explanation:
I need as many digits of pi I can get.
Answer:
3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
Step-by-step explanation:
Answer:
3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651 328230664709384460955058223172535940812848111745028410270193 852110555964462294895493038196442881097566593344612847564823 3786783165271201909145648566923460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989
Step-by-step explanation:
These r the first 1,000 numbers but there are over 200 million numbers in pi.
hope this helps! Plz give brainliest!
Write the equation of the line in fully simplified slope-intercept form.
Lucia brought 13 2/5 pitchers of juice to a volleyball game, and the players drank 5 4/5
pitchers of it. How much juice is left?
Write your answer as a fraction or as a whole or mixed number.
Answer:
7 3/5 or 38/5
Step-by-step explanation:
13 2/5 - 5 4/5 = 38/5 = 7 3/5
Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?
A. y = -2x + 30
B. y = 2x + 30
C. y = -2x - 30
D. y = 2x - 30
From the computation done, the linear equation that represents the information given will be A. y = -2x + 30.
From the information given, we're told that Yuson must complete 30 hours of community service and that she does 2 hours each day.
Therefore, the linear equation that represents the hours Yuson has left after x days will be represented thus:
y = 30 - (2 × x)
y = 30 - 2x
y = -2x + 30
Learn more about equations on:
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Express the ratio below in its simplest form.
72
:
36
[tex]72:36 = \dfrac{72}{36} = \dfrac{36 \times 2}{36} = 2:1[/tex]
Find the values of k for which y = kx + 1 is a tangent to the curve y = 2x^2 + x +3
the smiths want to fence their square garden, which has an area 256 square meters.
Questions 4, 5 and 6
PLEASE I NEED THIS ASAP
Can someone plzzzz help you have to enter the answer like this:26 but that is not the answer
Answer:
84 cm²Step-by-step explanation:
Total surface consists of 2 right triangles and 3 rectangles.
Sum of their areas is the total surface area.
Area of 2 triangles:
A = 2*(1/2)*4*3 = 12 cm²Area of 3 rectangles:
A = 6*(3 + 4 + 5) = 6*12 = 72 cm²Total surface area:
S = 12 + 72 = 84 cm²help pls please PLEASE
Answer:
c
Step-by-step explanation:
it's really product of power
A rock is thrown into a pool 72 inches deep. The rock sinks at a rate of 4 inches per
second (s). The rock's height (h) above the bottom of the pool is given by the
equation: h = 72 – 4s. After how many seconds will the rock be half way to the
bottom?
Half of 72 is 36. If you divided 36 by 4, you would get 9. So, s = 9 and means that it takes 9 seconds for the rock to be sunk half way.