Colin invests £4600 into his bank account.
He receives 4% per year compound interest.
How much will Colin have after 7 years?
Give your answer to the nearest penny where appropriate.
Answer:
6,053.29
Step-by-step explanation:
Use this formula:
A= p(1+r/n)^nt
A= Amount (?)
P= Principal (4600)
r - interest rate (4%)
n= number of times the interest is compounded per year (1)
t= time (7 years)
Answer:
£6053.29 to the nearest penny.
Step-by-step explanation:
Amount after 7 years = 4600(1 + 0.04)^7
= 4600 * 1.04^7
= £6053.286.
what is -3/4(16v+12)+10
Answer:
-3/4(16v+12)+10
=
-9/2v+1
In 2001, Takeru Kobayashi set a world record by eating 50 hot dogs in 12 minutes. Find Kobayahi's rate of consumption in hot dogs per minute.
OPTIONS
Pack of 24 for $1.68
UNIT PRICE
$
per
Pack of 12 for $1.08
$
per
Solve Each Equation PLS SHOW WORK
|5k-8| / 10 = 2
|5k-8| / 10 is a fraction btw
Answer:
K is -12/5
k is also 28/5
Step-by-step explanation:
Here, we want to solve the equation
|5k-8| = 10(2)
5k-8 = 20
5k = 20 + 8
5k = 28
k = 28/5
or
5k-8 = -20
5k = -20 + 8
5k = -12
k = -12/5
Generate the next three terms of each geometric sequence defined below. (in picture)
Answer:
a) -9, -10, -11
b)24, 36, 54
c)-10, 20, -40
Step-by-step explanation:
-8 - 1 = -9
-9 - 1 = -10
-10 - 1 = -11
a2 = 16 * 3/2 = 24
a3 = 24 * 3/2 = 36
a4 = 36 * 3/2 = 54
f(2) = 5 * -2 = -10
f(3) = -10 * -2 = 20
f(4) = 20 * -2 = -40
The next three terms of each geometric sequence are;
a) -9, -10, -11
b)24, 36, 54
c)-10, 20, -40
What is a geometric sequence?There are three parameters which differentiate between which geometric sequence we're talking about.
The first parameter is the initial value of the sequence.
The second parameter is the quantity by which we multiply previous term to get the next term.
a) The common difference is;
-8 - 1 = -9
b) The common difference is;
-9 - 1 = -10
c) The common difference is;
-10 - 1 = -11
a2 = 16 * 3/2 = 24
a3 = 24 * 3/2 = 36
a4 = 36 * 3/2 = 54
Therefore, the next terms are;
f(2) = 5 * -2 = -10
f(3) = -10 * -2 = 20
f(4) = 20 * -2 = -40
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Find the selling price of a karaoke machine with a 60.5% markup.
Answer:
$99.91
Step-by-step explanation:
If the markup is 60.5%, then the selling price would be 160.5% of the original price.
160.5%=1.605
$62.25*1.605=$99.91125
Since you can't have 0.00125 dollars, lets round to the nearest hundredth.
The selling price is $99.91
A friend gives you two baseball cards for your birthday. Afterward, you begin collecting them. You buy the same number of cards once each week. The equation y = 4x + 2 describes the number of cards, y, you have after x weeks.
Discuss which points on the line do not make sense in this situation. Then plot three more points on the line that do make sense.
Answer:You have 2 cards upfront, so the constant term in this linear equation is 2. The slope represents how many more cards you buy or acquire per day, week or month (depending upon how eager you are to fatten your collection). ;)
y = 2 + (rate of acquisition of cards)(time)
y = 2 + rt
PLEASE HELP ME AND EXPLAIN PLEASE ITS DUE TODAY
Answer:No
Step-by-step explanation:
1/6 x 10= 1 4/6
The 10 comes from how many time 6 minutes can go into 60 = 1hr
Answer:
No. Jami can mow more than her advertisement states
Step-by-step explanation:
Because she can mow 1/6 of an acre in 6 minutes, and an hour is 60 minutes long, we know that she can mow up to ten times that in one hour. Think about it this way. How many times does six minutes go into 60? 10. So Jami can mow 1/6 of an acre up to 10 times in one hour. This means that in an hour Jami can mow 10/6, or 1 and 2/3 of an acre in an hour. Thus, her advertisement is understating how quickly she can mow.
Helpppp it’s rational and irrational
Answer:
all are irrational except for -3
Rita ran for class president. She received 90 votes in the election. These votes represent 60% of the total number of students in her class. How many students are in her class?
Answer:
54 students
Step-by-step explanation:
90× 60% = 54
Anybody know the answer to these
(From MATH workbook 8A)
Answer:
-4
Step-by-step explanation:
sorry if this is wrong I forgot how to do it. :)
(I think)
A concession stand sells bags of popcorn for $3 and cotton candy for $2. A customer purchased
bags of popcorn as well as cotton candy and spent $12.
2(9n-1)+7(n+6)=-60
what is this answer
Answer:
n=-4
Step-by-step explanation:
2 (9n-1)+7(n+6)= -60
18n-2 +7n + 42 = -60
25n + 40 = -60
25n = -100
n = -4
Answer:
n = - 4
Step-by-step explanation:
2 ( 9n - 1 ) + 7 ( n + 6 ) = - 60
Solve the brackets.
18n - 2 + 7n + 42 = - 60
Combine like terms.
25n + 40 = - 60
Subtract 40 from both sides.
25n = - 60 - 40
25n = - 100
Subtract 25 from both sides.
n = -4
Complete the statement to describe the expression (a+b+c)(d+e+f)
The expression consists of _ factors, and each factor contains _ terms.
Fill in the blanks.
Answer:
Please check the explanation.
Step-by-step explanation:
We know that if we multiply 3 and 4, we get 12.
In other words, 3 × 4 = 12
Thus, 3 and 4 are factors of 12.
now
Given the expression
[tex](a+b+c)(d+e+f)[/tex]
The given expression consists of two factors which are:
(a+b+c)(d+e+f)We also know that an expression can consist of terms, a term may be a constant or a variable. It can be both as well.
For example, in the expression, 4b + 2, 4b and 2 are terms.
so,
The factor (a+b+c) consists of 3 terms. These terms are a, b and c.Similarly, the factor (d+e+f) consists of 3 terms. These terms are d, e, and f.Please help as soon as POSSIBLE!!!! WILL GIVE BRAINLY TO CORRECT ANSWER!!!
Answer:
I asked my friend and she said c, but she has terrible grades
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Help pleaseeeeeeeeeee
Given that,
The cone and the sphere have the same volume.
___________________________________________
Volume of the cone
[tex] = \frac{1}{3}\pi {r}^{2} h[/tex]
[tex] = \frac{1}{3} \times \frac{22}{7} \times 2.4 \times 2.4 \times 8.3[/tex]
[tex] = 1 \times \frac{22}{7} \times 0.8 \times 2.4 \times 8.3[/tex]
[tex] = \frac{22}{7} \times 1.92 \times 8.3[/tex]
[tex] = \frac{22}{7} \times 15.93[/tex]
[tex] = 22 \times 2.27[/tex]
[tex] = 49.94[/tex]
[tex] = 50 {cm}^{3} (rounded)[/tex]
Also,
Volume of the sphere
= 50cm³
[tex] = \frac{4}{3} \pi {r}^{2} = 50[/tex]
[tex] \pi {r}^{2} = 50 \times \frac{3}{4} [/tex]
[tex]\pi {r}^{2} = 37.5[/tex]
hi guys can u please help and doing hw and i don't understand.
Answer:
C
Step-by-step explanation:
The weight of the weight lighting bar = the initial value/y-intercept (b) = 45
Amount of weight = x
Total amount of weight = y
The rate of change (m) = 1
Thus to write the function that models this situation, substitute m = 1, and b = 45 into y = mx + b
Thus:
y = (1)x + 45
y = x + 45
The correct option is c
in a right triangle, the side c opposite the right angle is called the hypotenuse, and the other two sides a and b are called legs. the pythagorean theorem states that in any right triangle, the lengths of the three sides are related by the equation . use the pythagorean theorem to answer the following question. determine the length of the hypotenuse in a right triangle with legs 5 inches and 12 inches. a. approximately 13.38 inches b. 13 inches c. 169 inches d. 17 inches
The length of the hypotenuse is 13.
A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.
In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
According to the question ,
Given that , legs is 5 inches and 12 inches
how to find hypotenuse :
we know , c^{2} = a^{2} + b^{2}
⇒ c^{2}= 5^{2} + 12^{2}
⇒ c^{2} = 25 + 144
⇒ c = \sqrt{169}
⇒ c = 13
The length of the hypotenuse is 13.
Correct option is (b) 13 inches .
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Please help! State which property of equality justifies the statement:
If VR+TY=EN+TY, then VR=EN.
The property of equality that justifies the statement where the statement is given as "If VR + TY = EN + TY, then VR = EN" is the subtraction property of equality
How to determine the property of equality that justifies the statement?The statement is given as
If VR + TY = EN + TY, then VR=EN
In the above statement, we have the following equation
VR + TY = EN + TY
By applying the subtraction property of equality, we have the following equation
So, we have
VR + TY - TY = EN + TY - TY
Evaluate the difference in the above equation
So, we have
VR = EN
Hence, the property of equality that justifies the statement where the statement is given as "If VR + TY = EN + TY, then VR = EN" is the subtraction property of equality
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Debbie has at most $58 to spend on clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $9. Write and solve an inequality that represents this word problem.
Answer:
The Inequality Equation =
22 + 9x ≤ 58
The number of T -shirts Debbie can buy is at most 4 T-shirts
Step-by-step explanation:
Let the number of T shirts Debbie can buy be represented as x
We are told in the question: Debbie has at most $58 to spend on clothes.
This means she would not exceed $58. She would be spending less than or equal to $58
The Inequality Equation =
$22 + $9 × x ≤ $58
22 + 9x ≤ 58
Solving the Inequality Equation above:
22 + 9x ≤ 58
9x ≤ 58 - 22
9x ≤ 36
x ≤ 36/9
x ≤ 4 shirts
The number of T -shirts Debbie can buy is at most 4 T-shirts
Question in image. :)
Answer:
All real numbers greater than or equal to 0.
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph, we see that our x-values span from 0 to infinity. Since 0 is a closed dot, it is inclusive in the domain:
[0, ∞) or x ≥ 0 or All Real Numbers greater than or equal to 0.
Please help me the picture is posted above
Answer: C, D, E
Step-by-step explanation: sub in -3 for x and 6 for y in all equations. Only c and d are true. In the graphs, E is the only one that has the point (-3,6)
Answer:
c, d, and e
Step-by-step explanation:
if y=2
Evaluate the following expression
4(2y-3)
Answer:
4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
4(2y - 3)
y = 2
Step 2: Evaluate
Substitute in y: 4(2(2) - 3)Multiply: 4(4 - 3)Subtract: 4(1)Multiply: 4Answer:
4
Step-by-step explanation:
Substitute y for 2
4((2×2)-3)
Simplify
4(4-3)
Simplify further
4×1
4×1=4
vector a~ is 2.54 units long and points in the positive y direction. vector b~ has a negative x component 2.32 units long, a positive y component 2.88 units long, and no ~z component. find a~ · b~ .
Therefore [tex]\overrightarrow{\mathrm{a.b}}=3.00 \hat{i}+6.00 \hat{j}[/tex]
Ax=-2.54 Ay=2.32
The sum of two or more vectors is called the Resultant.
The Resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together. If displacement vectors A, B, and C are added together, the result will be vector R.
[tex]$$\mathrm{A}_{\mathrm{x}}=-3.00, \mathrm{~A}_{\mathrm{y}}=2.00$$(a) $\overrightarrow{\mathrm{A}}=\mathrm{A}_{\mathrm{x}} \hat{\mathrm{i}}+\mathrm{A}_{\mathrm{y}} \hat{\mathrm{j}}=-3.00 \hat{\mathrm{i}}+2.00 \hat{\mathrm{j}}$(b) $|\overrightarrow{\mathrm{A}}|=\sqrt{\mathrm{A}_{\mathrm{z}}^2+\mathrm{A}_{\mathrm{y}}^2}=\sqrt{(-3.00)^2+(2.00)^2}=3.61$$$\theta=\tan ^{-1}\left(\frac{\mathrm{A}_{\mathrm{Y}}}{\mathrm{A}_{\mathrm{K}}}\right)=\tan ^{-1}\left(\frac{2.00}{-3.00}\right)=-33.7^0$$[/tex]
[tex]$\theta=180^{\circ}+\left(-33.7^{\circ}\right)=146^{\circ}$[/tex]
[tex]$\mathrm{R}_{\mathrm{x}}=0, \mathrm{R}_{\mathrm{y}}=-4.00$ and $\overrightarrow{\mathrm{R}}=\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}$, thus $\overrightarrow{\mathrm{B}}=\overrightarrow{\mathrm{R}}-\overrightarrow{\mathrm{A}}$ and$$\mathrm{B}_{\mathrm{x}}=\mathrm{R}_{\mathrm{x}}-\mathrm{A}_{\mathrm{x}}=0-(-3.00)=3.00, \mathrm{~B}_{\mathrm{y}}=\mathrm{R}_{\mathrm{y}}-\mathrm{A}_{\mathrm{y}}=-4.00-2.00=-6.00$$[/tex]
[tex]\text { Therefore, } \overrightarrow{\mathrm{a,b}}=3.00 \hat{i}+6.00 \hat{j}[/tex]
[tex]\text { Therefore, } \overrightarrow{\mathrm{a.b}}=3.00 \hat{i}+6.00 \hat{j}[/tex]
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Need help ASAP ill love you forever please
0.25x+1y=12 is the answer, because you are multiplying 0.25 and 1 to see how many games/rides there were.
Answer:
The first one
Step-by-step explanation:
the sum of two numbers 94. their diffirence is 12
Lets denote the numbers x and y:
The sum of two numbers 94 → x + y = 94
Their difference is 12 → x - y = 12
We have:
x + y = 94
x - y = 12
---------------- Add both equations
2x = 106
x = 106/2
x = 53
Using first equation:
x + y = 94
53 + y = 94
y = 94 - 53
y = 41
A/ The numbers are 53 and 41.
The owner where your work explains that you’re paid $8/hour and receives a $25 bonus each month for being the manager. If the owner hands you a check for $250, How many hours did you work this month? Write an equation and solve.
Answer:
28.125 hours
Step-by-step explanation:
250- the 25 dollar bonus=225
225/8 dollars an hour= 28.125 hours
Answer:
6.25
Step-by-step explanation:
250/8= 31.25
then take away the added bonus
31.25-25= 6.25
how to simplify ( 2/4)^2
Answer:
2/4x2/4=0.25 or 1/4
Step-by-step explanation: