Answer:
2.4%
Step-by-step explanation:
The value of R is, 2.4%
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
Louis invested £2950 in a savings account for 5 years.
He was paid 1.9% per annum compound interest for each of the first 4 years.
And, He was then paid R% interest for the fifth year.
Louis had £3257 in his savings account at the end of the 5 years.
Here, We know that;
⇒ Compound interest formula = Capital × (1 + r%) ⁿ
Where, n is time in years.
So, We can formulate;
⇒ £2950 × (1 + 0.019)⁴
⇒ £3180.67
And, For calculate R;
⇒ £3180.67 × (1 + R%)⁵ = £3257
⇒ R = 2.4%
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The area of a rectangle is represented by 3x^2 + 14x + 8. Factor the area to determine the dimensions of the rectangle.
Answer:
(3x+2)(x+4)
Step-by-step explanation:
(3x+2)(x+4) = (3x)(x) + (3x)(4) + (2)(x) + (2)(4)
= 3x² + 12x + 2x + 8 *****
= 3x² + 14x + 8
You start by figuring it will be in the form of (3x + a)(x + b) because 3 doesn't factor. The two middle terms in the line followed by the stars must add up to 14x. And in (3x + a)(x + b), ab must be equal to the 8 on the end (the constant factor).
For most people, factoring takes a LOT of practice. And somethimes you just have to try a lot of factors before you hit the right combination. But if you do it enough, it really does get easier to 'see' the answer a lot of the time.
Hope this helped!
Which choice below lists all of the square roots of the number 100?
A. V10-10
C. 10,-10
B. 10
E. 50,-50
D. -10
Answer:
c. 10, -10
Step-by-step explanation:
10x10=100
-10x-10=100
Answer:C
Step-by-step explanation: when doing the square root of 100 it’s 10 but -10 times -10 is also 100 because of double negatives
Bruce flipped a penny 5 times. It landed on heads 2 times and tails 3 times. If he flips the coin a 6th time, what statement is true?
A. It is more likely to be heads.
BIt is equally likely to be heads or tails.
C. It is more likely to be tails.
D. It in not likely to be tails.
Answer:
B
Step-by-step explanation:
I would say B because they're only 2 options head and tails.
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1. It's either B or D
Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $0.42.
A. c(p) = p + 0.42
B. c(p) = 42p
C. c(p) = p/0.42
D. c(p) = 0.42p
Answer:
D. c(p) = 0.42p
Step-by-step explanation:
total cost = .42(P)
Example: 5 lbs
$2.10 = $.42(5)
c(p) = 0.42p <== ur function
Since a pound of sugar increases proportionally to the total cost of sugar bought, then the function can be written as:
c(p) = 0.42p
Where: c(p) = total cost of sugar bought
p = pounds of sugar
c(p) is a function of p, because c(p) depends on p.
Answer: The function rule that gives the total cost is given by
Step-by-step explanation:
Let the number of pounds of sugar be 'p'.
Let the total cost would be C(p).
Cost of each pound = $0.42
So, the function rule would be
Hence, the function rule that gives the total cost is given by
A person can pay $6 for a membership to the science museum and then go to the museum
for just $1 per visit. For a member of the science museum, what is the total cost of 44
visits?
i am a multiple of 7, i am also a mutiple of 3 my units digit is half my tens digit. Thanks!
Answer:
21 or 42......both work
3. Identify the pair of angles,
2
O complementary
supplementary
neither
Answer:
I am almost positive it is Complementary.
Step-by-step explanation:
Sorry if i am wrong please let me know if i am.
An employee makes less than
$
78
,
000
a year in income. Which inequality and graph represent the employee’s possible income?
The inequality of the statememt is x < 78000
How to determine the inequalityFrom the question, we have the following parameters that can be used in our computation:
An employee makes less than $78,000 a year in income.
Represent the earnings of the employee with x
So, we have
x is less than $78,000
When represented as an inequality, we have
x < 78000
See attachment for the graph
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Armando deposits $3,827 into a bank account paying 2.8% interest,
compounded monthly (12 times per year). How much money will he have in
his bank account after 16 years? PLEASE HELP!!
Answer:
$745,460.8
Step-by-step explanation:
2.8/100 × 3827 = $107.16
monthly = 1/12
[tex]p = \frac{100 \times i}{rt} = \frac{100 \times 107.16}{2.8 \times \frac{1}{12} } = \frac{10716}{0.23} \\ = 46591.3[/tex]
$46,591.3 in 1year
16 years; $46,591.3 × 16 = $745,460.8
In ΔEFG, g = 4.3 cm, e = 9.1 cm and ∠F=116°. Find the length of f, to the nearest 10th of a centimeter.
Answer:
11.6
Step-by-step explanation:
The length of f of the triangle is f = 11.7 cm
What is Law of Cosines?The Law of Cosines is a mathematical formula used to find an unknown side or angle of a triangle, given the lengths of the other two sides and the angle opposite the unknown side. It is also known as the Cosine Rule.
The Law of Cosines states that for any triangle with sides a, b, and c and angle C opposite side c, the following equation is true:
c² = a² + b² - 2ab cos(C)
where cos(C) is the cosine of angle C. This formula can be rearranged to solve for any of the variables, depending on which values are known.
Given data ,
Let the triangle be represented as ΔEFG
And , the measures of the sides of the triangle are
g = 4.3 cm
e = 9.1 cm
And , measure of angle ∠F = 116°
where c² = a² + b² - 2ab cos(C)
On simplifying , we get
a² = c² - b² + 2abcos ( C )
78.26 ( cos 116° ) - 4.3² - 9.1² = f²
f² = 135.7344
Taking square roots on both sides , we get
f = 11.7 cm
Hence , the length is f = 11.7 cm
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in the diagram below, de is parallel to xy. what is the value of y
porfa ayuda plissss
(SINO SABES NO CONTESTES)
DOY PUNTOS
Answer:
B
Step-by-step explanation:
Si cuentas desde el once hasta el espacio entre A y B llegas hasta 5. Entonces el número que está en ese espacio es 11.05
Answer:
ES LA B AMIGA
Step-by-step explanation:
PLEASE HELP ME I WILL MARK RBAINLIEST I SWEAR
Answer:
160=b
14
b: 2240
Answer:
b= 2240
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
then you simplify
hope this helps!
The first three terms of a sequence are given. Round to the nearest thousand (if necessary). 9, 18, 36 Find the 6th term.
What is the slope of the line that passes through the points (5, 17) and (2,5)?
Alice baked 88 cookies with 11 scoops of flour. With 12 scoops of flour, how many cookies
can Alice bake? Solve using unit rates.
Flora is making a gift box. She plans to cover the entire surface of the gift box with glitter, and she knows that 1 jar of glitter can cover 12 square inches of surface. Based on the net for the gift box below, how many jars of glitter will Flora need to cover the entire surface of the gift box?
Mariam is a waitress at a restaurant. Each day she works, Mariam will make a guaranteed wage of $30, however the additional amount that Mariam earns from tips depends on the number of tables she waits on that day. From past experience, Mariam noticed that she will get about $9 in tips for each table she waits on. How much would Mariam expect to earn in a day on which she waits on 19 tables? How much would Mariam expect to make in a day when waiting on t t tables?
Answer:
19 tables = $201
t tables = 9t+30
Step-by-step explanation:
the slope would be 9 because she gets $9 for each table (t), 30 would be the y-intercept because she will always get that amount each week.
Insert 19 to equation:
y(t) = 9(19) + 30
Solve:
201
Hope this helped :)
The quantity inside a 3-dimensional space is called its
A.volume
B.heaviness
C.length
D.ratio
Answer:
volume
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
theres no weight refered, no length and ratio i dont know cause im not english but i think its A
solve the equation -30p-2=58 for p.
Answer:
p=-2
Step-by-step explanation:
1.Combine like terms on both sides.
2.Subtract 6 y 6y 6y on both sides to keep the variable y to the left side only.
3.Add 11 to both sides of the equation.
4.Finally, divide both sides by −10 to get the solution.
Pls help me answer the products and factors
thx
Answer:
products - -3x and 6x^2
factors - 8 and 2x
Step-by-step explanation:
Answer:
-8x would go in the box above -16x and -8 would go in the other box
Multiply the Following binomials using an area model (x+5) (x-5)
Please help me with this homework
Answer:
See screenshot below
Step-by-step explanation:
Yes Bus Column:
We need to find an answer for the "no taxi" section. And we have the total and the "yes taxi" section. So, the "yes taxi" section + the "no taxi" section gives you the total. Another way of saying this is total - "yes taxi" = "no taxi"125 - 30 = 95No Bus Column:
We need to find the total of the "yes taxi" section and the "no taxi" section. So, if we add those two sections together, we'll get the total90 + 185 = 275Total column:
So, this column is really simple to fill out. All we're doing it adding our answers above to get one answer in each section."Yes Taxi" section: 30 + 90 = 120"No Taxi" section: 280Total section: 125 + 275 = 400We could have also done the total section by adding together 120 and 280, but we would get the same answer, anyway.I hope this helps!
A right rectangular prism has a square base with a side length of 3 inches. The height of the prism is 8 1/4inches. What is the volume of this prism?
Answer:
Step-by-step explanation:
V = 3*3*8.25= 74.25 cubic inches
you go to the park on a windy day to fly a kite. You have released 40 ft of string. The strings make it angle of 36 degrees with the ground. How high is the kite in the air
Which of the following statements provides the correct freezing and boiling points of water on the Celsius and Fahrenheit temperature scales
If x is to y as 4 is to 5, then what is y : x?
Answer:
4:5
Step-by-step explanation:
You are doing ratios
John said he can find 38×10 by adding a 0 to the end of 38 to get 380. John finds 46.52×10 using the same method and gets 46.520. Use the drop-down menus to complete the statement about why John is correct or incorrect. CLEAR CHECK John is because 46.52 is 46.520. 46.52×10=
Answer: See explanation
Step-by-step explanation:
John said he can find 38×10 by adding a 0 to the end of 38 to get 380. John finds 46.52×10 using the same method and gets 46.520.
For the first one that is, 38 × 10 = 380, John is correct. For the second one, that is, 46.52 × 10 = 46.520. John is incorrect. In this case, the first one is correct because John was multiplying by a whole number.
For the second one involving a decimal, John could have shifted the decimal point one place to the right and not add 0 to the end. Then he will get:
46.52 × 10 = 465.2
A square picture has a 3-in. frame around it. If the area of the frame alone is 96 in.2 , what is the area of the picture?
Answer:
[tex] {25in}^{2} [/tex]
Step-by-step explanation:
see attached image
write an equation for the line that passes through the points (3,5) and (2,-2)
Answer:
Step-by-step explanation:
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