Money in Alex's account after 16 years = [tex]\boxed{\bold{\color{plum}£4347.11}}[/tex]
○=> Steps to derive correct answer :Money invested by Alex = £3045
Percentage of compound interest per annum = 2.25%
We know that :
[tex]\tt \: \color{hotpink}A \color{plum} = P {(1 + \frac{r}{n} )}^{nt} [/tex]
In this case :
Principal = £3045
Rate = 2.25% = 0.0025
Number of times interest is compounded per year = 1
Time = 16 years
Which means :
Money Alex will have in the account after 16 years :
[tex] = \tt3045 ({1 + \frac{ 0.0025}{1} })^{16} [/tex]
[tex] \color{plum}= \tt £4347.11[/tex]
Therefore, the money in Alex's account after 16 years = £4347.11
he drawing shows the view of the top of a building. What is the value of x?
Answer:
65 degrees
Step-by-step explanation:
The angles in a triangle must add up to 180 so you subtract 90 and 25 from 180 and are left with 65
Which shows the expression below in simplified form?
(9.1 x 10-4)-(1.6 x 10-7)
A.9.084 x 10-5
В.9.084 x 10-4
C.9.0984 x 10-4
D.9.09984 x 10-4
Answer:
[tex]9.0984*10^{-4}[/tex] Answer C
Step-by-step explanation:
18. Select all the expressions equivalent to 12 + 30y.
3(4 + 10y)
4(3 + 10y)
6(2 + 5y)
2(6 + 30y)
6(3 + 10y)
Find the value of x (show work)
Answer:
Is there supposed to be a picture?
Step-by-step explanation:
Is this a function?
Answer:
yes its a function
Step-by-step explanation:
(if there are different kinds or functions
hoped this helped lmk if it did
When you dilate a figure by a factor of 2, which of the following statements are true? *
1 point
Angle measures change
Angle measures stay the same
Side lengths stay the same
Side lengths change
Answer:
it's c
Step-by-step explanation:
i took the quiz
What is the algebraic expression for the difference between seven times a number and three times that number?
Given
An algebraic expression is the difference between seven times a number and three times that number.
To find:
The algebraic expression.
Solution:
Let x be the unknown number.
Multiplication is used for times and subtraction is used for difference.
7 times of a number = 7x
3 times of that number = 3x
The difference between seven times a number and three times that number is
[tex]Difference = 7x-3x[/tex]
[tex]Difference =4x[/tex]
Therefore, the algebraic expression for the given statement is 7x-3x and its simplified form is 4x.
Answer:
I got you covered, friend!
the answer you want is 7x-3x
Step-by-step explanation:
7x-3x means the difference between seven times a number (x) and three times that number (also x)
have a great day
Antonio is starring in the high school play and has lots of family members and
friends who want to see him perform. He has purchased 17 tickets for the
play. Some of these are adult tickets and some are child tickets. The cost of an
adult ticket is $4 and the cost of a child ticket is $2. If the total cost of the 17
tickets was $60, find the number of each type of ticket purchased.
Answer:
4 Kids 13 Adults
Step-by-step explanation:
13 x 4 = 52 < Adults
4 x 2 = 8 <Kids
52
+ 8
----------
= $60
13 + 4 = 17 Tickets
A cone sits inside a cylinder, as shown. They share the same height and radius. What is the volume of the cylinder not taken up by the cone? Use 3.14 for p.
A
75.36 in.3
B
150.72 in.3
C
226.08 in.3
D
301.44 in.3
Answer:
Step-by-step explanation:
Volume of cylinder = πr²h
Volume of cone = πr²h/3
Volume of cylinder is not used by cone = ⅔πr²h = ⅔(3.14)(3^2)(8) = 150.72 sq in
Factor the following polynomial completely.
x^3 + x^2 - 6x
Answer:
x(x+3)(x-2)
Step-by-step explanation:
i hope this helps :)
The RMC Theater holds 250 people and last night's performance was sold out! Children
under the age of 16 paid $4.50 per ticket, while adults paid $6.00 per ticket. Last night's
show brought in $1320. Write two equations to represent the given information in this
situation. Let c = the number of children's tickets sold and let a = the number of adult
tickets sold. You do not need to solve the system of equations.
Answer:
im on that question too thats crazy
Step-by-step explanation:
i need help asap thank you
Answer:
250
Explanation:
2,000 plus 250 × 3 is 2,750 so that is the answer.
help meplease i give 5 star
How do you eliminate the radical sign?
Answer:
Step-by-step explanation:
you can eliminate the radical by squaring both sides of the equation
Monica deposits $300 into a savings account that pays a simple interest rate of 4.2% paul deposits $400 into a savings account that pays a simple interest rate of 3.8% monica says that she will earn more interest in 1 year because her interest rate is higher is she correct?
Answer:
Paul earned $2.6 more interest than Monica.
Step-by-step explanation:
Giving the following information:
Monica:
Initial investment= $300
Interest rate= 4.2%
Paul:
Initial investment= $400
Interest rate= 3.8%
To calculate the income earned, we need to use the following formula:
I= P*r*t
P= principal
r= interest rate
t= time
Monica:
I= 300*0.042*1= $12.6
Paul:
I= 400*0.038*1= $15.2
Paul earned $2.6 more interest than Monica.
Find the missing dimension Use the scale 1:5
Model: 3ft
Actual: ?
Answer:
it will be 1 : 3
Step-by-step explanation:
i need the missing term
Answer:
-2x
Step-by-step explanation:
negative one times 2x is -2x
Answer:
-2x
Step-by-step explanation:
HOPE THIS HELPS YOU OUT! MAYBE JUST MAYBE CONSIDER ME BRAINLIEST I DONT EVEN HAVE 1 LOL
Ben paid $45 for an old guitar he cleaned the guitar, then resold it after marking the price 15% he used 36% of the money he got for the the guitar to buy books how much money did ben spend on books?
Answer:it’s $18.63
Step-by-step explanation:
($45+.15($45)).36
Answer:
18.63
Step-by-step explanation:
[tex]\left \{ {{y=2} \atop {x=2}} \right. 17.49 +?=18.63[/tex]
Help me with this please
Answer: (17 , 5)
18 + 16 / 2 = 17
0 + 10 / 2 = 5
Answer:
Step-by-step explanation:
F = (18, 0 ) as ( x1 , y1)
G = (16 , 10) as (x2, y2 )
mid = (x1+x2) / 2 ,( y1 + y2) / 2
mid = (18+16)/2 , (0+10)/2
mid = 34/2 , 10 /2
mid =( 17, 5)
The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input whole number only.)
Please Help!!!! Giving brainliest!!!
Answer:
54
Step-by-step explanation:
Both Triangles: 12
Square: 10.5
Back rectangle: 14
Front Rectangle: 17.5
And just add all of them together
if same earns $2 more, he’ll have $24. How much does he have to start out with?
Answer:2
Step-by-step explanation:
Answer: 22
Step-by-step explanation:
Juan needed to use a total of 9 lbs 14 oz of clay for his item.
HELP ME PLEASE
Answer:
Area of rectangle = 80
Area of Half Circle 8π
Step-by-step explanation:
The area of the rectangle is width x length, so:
Area of Rectangle: 8x10=80 ft^2
Since we know that this is a rectangle, opposite sides are equal, hence the half circle's diamiter being 8 as well.
The area of a circle is πr^2 and half-circle being πr^2/2, so with radius 4 (d/2= 8/2=4)
Area of half circle= π(4)^2= 16π/2= 8π
find the mean of the data set below 2,2,3,5,7,8
someone answer asap
A fair dice has 6 sides numbered 1 to 6. After it is rolled, 5 of the numbers can be seen. What is the probability that one of these numbers is a 3
Answer:
[tex] \frac{5}{6} [/tex]
Step-by-step explanation:
Out of those 5 sides, we need to be able to see a 3 from a 6 sided dice.
The total will always be your demoninator and since we was looking at sides, we just need a side that has a 3.
I don’t know the answer to this but what is f(x)=-0.5x+27? Can someone help me out please?
f(X)=-0.5x+27 is a linear function that has -0.5 as the slope nad 27 as the y intercept
Answer: f(x) = 26.5
-_-
Help me ASAP!!!!!!!!!
Answer:
The answer is C
Step-by-step explanation:
C is the only option that represents the inequality 2x - 6 ≥ 6(x - 2) + 8.
SELECT THE CORRECT COMPARISON
PLEASE HELP!! (will give brainlyest
Answer:
C. The typical value is greater in set . The spread is greater in set A.
Step-by-step explanation:
Set A data is all over the place meanwhile set b data is clumped in one spot. This means Set A data has its data more spread. Then the value is greater in set B since the arrow is on 8.5 while in set A it is on 4.
Angela is 4 feet 7 inches tall. Angela's doll is 11 inches tall. What is the ratio of Angela's height to the
doll's height?
Answer: 5:1 (simplified and in inches)
Step-by-step explanation:
Let’s convert Angelicas height in inches so all the measurements are the same.
Anglelicas height: 4 ft7 in
OR
Angelicas height: 55 inches
Dolls height: 11 inches
The ratio would be 55:11 but we would need to simplify since both numbers are divisible by a GCD (greatest common denominator)
55 and 11 are both divisible by 11 so the new simplified ratio would be...
5:1
Solve for p -10p = -40 ???
Answer:
p = 40/9
Step-by-step explanation:
p - 10p = -40
-9p = -40
p = -40/(-9
p = 40/9
HELP ME PLEASEE ASAP!!!! PLEASEE
Answer:
B is the correct option.
Hope it helps!!!