since it's per annum, we'll assume is compounded interest.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\pounds 3550\\ r=rate\to 3.05\%\to \frac{3.05}{100}\dotfill &0.0305\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=3550\left(1+\frac{0.0305}{1}\right)^{1\cdot 5}\implies A=3550(1.0305)^5\implies A\approx 4125.42[/tex]
Write the equation in standard form. 4y−5x=3(4x−2y+1)
Answer:
-17x+10y=3
Step-by-step explanation:
Standard form is:
Ax+By=C
Let's start by simplifying the equation:
4y-5x=3(4x-2y+1)
Distribute the 3:
4y-5x=3(4x)+3(-2y)+3(1)
4y-5x=12x-6y+3
Subtract 12x from both sides
4y-17x=-6y+3
Add 6y to both sides
10y-17x=3
-17x+10y=3
A tree is 4 ft 2 in. Tall. To find the height of a tower, the shadow of the tree and the shadow of the tower were measured. What is the height h of the tower?.
Answer:
20 ft
Step-by-step explanation:
Convert all measurements to a single unit, inches, using the fact that 1 foot is equal to 12 inches.
ZY=(24⋅12) in.
Simplify.
ZY=288 in.
RH=(4⋅12) in.+2 in.
Simplify.
RH=50 in.
RQ=(5⋅12) in.
Simplify.
RQ=60 in.
ZX¯¯¯¯¯ and QH¯¯¯¯¯¯ are parallel because the rays of the Sun that form them are parallel. Therefore, the angles they form with the ground
are congruent: ∠Z≅∠Q.
∠Y≅∠R by the Right Angle Congruence Theorem.
Therefore, by the Angle-Angle Similarity △ZXY~△QHR.
Find XY. Set up a proportion with the lengths of the known sides and the unknown length (height of the tower).
ZYQR=XYHR
Substitute the values.
28860=h50
Cross multiply.
60h=50(288)
Simplify.
60h=14400
Divide both sides by 60.
h=240
The height of the tower is 240 in., or 20 ft.
What is the solution for x in the equation?
-2x + 14 + 10x = 34
Answer:
[tex]x=2.5[/tex]
Step-by-step explanation:
Given the following question:
[tex]-2x+14+10x=34[/tex]
In order to find the answer, we will group like terms, (terms with similar variables) and simplify.
[tex]-2x+14+10x=34[/tex]
[tex]-2x+14+10x=34=-2x+10x+14=34[/tex]
[tex]-2x+10x+14=34[/tex]
[tex]14-14=0[/tex]
[tex]34-14=20[/tex]
[tex]-2x+10x=20[/tex]
[tex]-2x+10x=8x[/tex]
[tex]8x=20[/tex]
[tex]8x\div8=x[/tex]
[tex]20\div8=2.5[/tex]
[tex]x=\frac{5}{2}/2.5[/tex]
Hope this helps.
how do i know when my father will come back wit da milk
Answer:
you dont he never will
Step-by-step explanation:
he left
got milk
forgot about you
never came back
Answer:
He will neva come back
Step-by-step explanation:
Have a good day!
. What are the coordinates of the point (-1,0) after a translation 5 units to the right?
Answer:
4,0
Step-by-step explanation:
by moving left or right, our position on the y axis stays the same. We are however moving along the x axis. add 5 to -1, and you get 4.
Approximately how much fabric of each color will be needed to make a single parachute canopy? 88. 5 ft 88. 5 ft² 265. 5 ft 265. 5 ft².
The 88.5 ft² fabric of each color will be needed to make a single parachute canopy.
Given
The canopy of a parachute is a semicircle with a radius of 13 feet.
A company that is making parachutes for a Fourth of July celebration wants each parachute to be made from equal parts of red, white, and blue fabric.
What is the surface area of a semicircle?The area of a semicircle is half of the area of the circle.
The first step is the surface area of the semicircle.
The surface area of a circle is;
[tex]\rm Surface \ area=\pi r^2\\\\Surface \ area=3.14 \times 13^2\\\\Surface \ area =530.929[/tex]
Since the semicircle, we divide this by 2.
S.A of the parachute is;
[tex]\rm =\dfrac{530.929}{2}\\\\= 265.4645[/tex]
To get the fabric is needed for each color we divide this by 3.
The fabric needed for each color is;
[tex]\rm= \dfrac{265.4645}{3}\\\\=88.5[/tex]
Hence, the 88.5 ft² fabric of each color will be needed to make a single parachute canopy.
To know more about semicircles click the link given below.
https://brainly.com/question/1799492
What is the length of the hypotenuse, c? Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
By using the Pythagorean theorem:
b^2+3^2=5^2
b^2+9=25
b=sqrt (25-9)
b=sqrt(16)
b=4
=> 4^2+7^2=c^2
16+49=c^2
65=c^2
=>c=sqrt(65)
c = (approximately) 8
5. Solve for x:
1/x-1/3=-1/3x
Answer:
(x-3)/9
Step-by-step explanation:
STEP
1
:
-x
Simplify ——
3
Equation at the end of step
1
:
(3 - x) -x
——————— • ——
3x 3
STEP
2
:
3 - x
Simplify —————
3x
Equation at the end of step
2
:
(3 - x) -x
——————— • ——
3x 3
STEP
3
:
Canceling Out :
3.1 Canceling out x as it appears on both sides of the fraction line
Final result :
x - 3
—————
9
hope this helps!!
if 48 square ; 68x The Power Of 4;x ;36Xpower Of 2 Are in Proportion Fond The Value Of x
Hi!
Let's solve this question,
As [tex]48x^{2} [/tex]; [tex]64 {x}^{4} [/tex]; [tex]x[/tex]; [tex]36 {x}^{2} [/tex] are in proportion, so,
[tex]48 {x}^{2} = 64 {x}^{4} = x = 36 {x}^{2} [/tex]{x ≠ 0}
(Simplification attached as image)
[tex] = > \frac{12}{ {17x}^{2} } = \frac{1}{36x} [/tex]
[tex] = > 17 {x}^{2} = 12 \times 36x[/tex]
[tex] = > 17x = 432[/tex](Divided by 17 each side)
[tex] = > x = \frac{432}{17} [/tex]
Hence, value of x is [tex] \frac{432}{17} [/tex]
If f(x) = 9/4x, what is the value of f(-10)
Step-by-step explanation:
Substitute f(-10) into the function:
[tex]f(-10)=\frac{9}{4(-10)}[/tex]
Multiply:
[tex]f(-10)=\frac{9}{(-40)}[/tex]
Simplify:
[tex]f(-10)=-0.225[/tex]
Please I could use all the help (no URL links)
Which word phrase describes the algebraic expression x - 16. 5? 16. 5 decreased by x x less 16. 5 x more than 16. 5 16. 5 minus x.
The expression "x -16.5" is expressed as "x less 16.5". Option B shows the correct expression.
What is the expression?The expression is defined as a set of terms combined using the operations addition, subtraction, multiplication, or division.
The given expression is [tex]x - 16.5[/tex].
The expression shows that 16.5 is subtracted from x. The resulting value is 16.5 less than x.
If the expression is expressed in words, it would be "x minus 16.5" or "x is reduced by 16.5"
Hence we can conclude that the expression "x -16.5" is expressed as "x less 16.5". Option B shows the correct expression.
To know more about the expression, follow the link given below.
brainly.com/question/13947055.
James is riding in a 102-mile bike race.
When he stops for his first water break,
he is told that the second part of the
course is twice as long as the first part.
How long is the first part of the course?
Answer:
The first part of the course is 34 miles
Step-by-step explanation:
If you get 34 miles into a 102 miles bike race, you still have 68 miles left, which is double 34
Answer:
34
Step-by-step explanation:
34 + 68 =102
34×2 =102 so 34 is the answer.
A large cheese pizza cost $7.40. Diego has $40 to spend on pizzas. How many large cheese pizzas can he affors?
Answer:
If 7.40 is the price of a pizza, we have to make sure that he spends less than $40 on large pizzas. if Diego buy 5 pizzas he would spend $37 and would not have enough to afford another large pizza, meaning that he can buy 5 large pizzas
A yard has a perimeter of 30 feet. It’s length is four times its width. what are the length and width of the yard
Answer:
24feet
Step-by-step explanation:
Divide 30feet by 5
You'll get 6feet
Subtract 6 feet from 30feet
You'll get 24feet
From a sample tray, 4 out of the last 10 cake samples chosen were strawberry. based on past data, of the next 20 samples taken, how many you should expect to be pieces of strawberry cake?
Answer:
8 pieces
Step-by-step explanation:
Is the golden gate bridge an example of a quadratic function?
Answer:
The main suspension cables between the towers of the Golden Gate Bridge form a parabola that can be modeled by the quadratic function: Y = 0.000112x2 + 220 where x is the horizontal distance from the middle of the bridge to the towers and y is the vertical distance from the water level to the bridge deck.
Step-by-step explanation:
So... yes.
What does this figure represent?
Answer:
C. Ray.Step-by-step explanation:
A ray is a line with 1 arrow and 1 dot. That arrow keeps on going forward that direction forever.
So, here are the options verified:
A. Incorrect. A line is a line that has 2 arrows going different ways.B. Incorrect. A segment is a line that stays where it is at. It does not move left or right.C. Correct.D. Incorrect. A point is a dot that stays where it is at.Correct choice is C.
3.4 Six men can build 150 m of wall in ten hours. How many men are needed to build a
200 m wall in four hours?
Answer:
20 men
Step-by-step explanation:
6*10=60 man hours to build 150 m
60/150=2/5 man hours per m
200*2/5=80 man hours
80/4 =20 men
Pls help. It is due in 20 mins
state weather (-2)3 will be positive or negative
Answer:
negative.
Step-by-step explanation:
rules of multiplying intergers;
- * - = +
+ * + = +
- * + = - (-2) x 3 follows this rule)
+ * - = -
1,800 kilometers in 75 hours = ______ kilometers per hour
Answer:
24 kilometers per hour
Step-by-step explanation:
Distance = Rate x time
You need to divide the number of kilometers by the number of hours it took.
1800 kilometers = 75 hours1800 kilometers ÷ 75 = 1 hour24 kilometers per hour-Chetan K
I'm very confused, can someone explain this to me?
Answer: 118 degrees
Step-by-step explanation:
By the exterior angle theorem.
3x + 12 + 2x + 16 = 6x + 10
5x + 28 = 6x + 10
x = 18
So measure of angle 3 = 6(18) + 10 = 118 degrees
Please help, thanks.
Answer:
a) $60
b) 60 + 6(22) = 132 + 60 = $192
c) 60 + 6(30) + 9(8) = 240 + 72 = $312
HELPPP PLEASE!!!!!! answer all
Answer:
anyyyy girrllll online hereeeere m soo bored
HELPP
if you are diving from a diving board that is 20 feet in the air, into a pool. When jumping into the pool, you touch the bottom in the 10-foot section of the pool. How far did you fall from the diving board to the bottom of the pool? (sentence required)
Answer: 30 feet
Explanation:
Draw a vertical number line.
Mark +20 or simply 20 which is the starting position at the diving board. The value 0 on the number line is the water's surface. The position -10 is the portion 10 feet at the bottom of the pool.
Going from 20 to 0 is 20 feet. Then going from 0 to -10 is another 10 feet.
Overall, you travel 20+10 = 30 feet.
What is the solution to the proportion? (1 point)
Answer:
Your answer would be 25.
What is the volume of a right circular cylinder with a base diameter of 6 m and a height of 5 m? Enter your answer in the box. Express your answer using π. M³ $\text{Basic}$.
The volume of the cylinder depends on its radius and height. The volume of the cylinder is 141.3 m3.
What is the volume of the cylinder?The volume of the cylinder is defined as the density of the cylinder which measures the amount of material contained by the cylinder.
Given that the height h of the cylinder is 5m and the diameter d of the base of the cylinder is 6m.
The radius of the cylinder is given below.
[tex]r = \dfrac {d}{2}[/tex]
[tex]r= \dfrac {6}{2}[/tex]
[tex]r = 3\;\rm m[/tex]
The volume of the cylinder is calculated as given below.
[tex]V = \pi r^2 h[/tex]
[tex]V = 3.14 \times 3^2 \times 5[/tex]
[tex]V = 141.3 \;\rm m^3[/tex]
Hence we can conclude that the volume of the cylinder is 141.3 m3.
To know more about the volume of the cylinder, follow the link given below.
brainly.com/question/12748872.
At the Flyer Factory, the assembly line produces 102 computers
in a batch. The computers are packaged in boxes with 25 each.
if 10 batches are made in one day, how many computers will be
leftover at the end of it?
Write the equation in standard form. Identity the center and radius.
x² + y2 + 8x-4y-7=0
Answer:
See belowStep-by-step explanation:
Given equation:
x² + y² + 8x - 4y - 7 = 0Convert this to standard form by completing the square:
(x - h)² + (y - k)² = r², where (h, k) - center, r - radiusx² + 2*4x + 4² + y² - 2*2y + 2² - 16 - 4 - 7 = 0(x + 4)² + (y - 2)² - 27 = 0(x + 4)² + (y - 2)² = 27 (x + 4)² + (y - 2)² = (√27)²The center is (- 4, 2) and the radius is √27