The amount of money returned as interest depends on the initial
amount, the interest rate and the number of years.
Response:
The money has been invested for 9 yearsWhat is simple interest and how can the duration of investment be found?Given:
The return on investment = $6,336
Amount the Certificate of Deposit pays = 4.4% simple interest
The initial investment (the principal), P= $16,000
Required:
The duration the initial amount of money had been invested.
Solution:
Interest = Principal × Rate × Time
Which gives;
[tex]Time = \mathbf{ \dfrac{Interest }{ Principal \times Rate}}[/tex]
Therefore;
[tex]Length \ of \ time \ of \ the \ investment = \mathbf{ \dfrac{\$6,336}{\$16,000 \times 0.044(/year)}} = 9[/tex]
The duration the money had been invested = 9 yearsLearn more about simple interest here:
https://brainly.com/question/22943790
Answer: 9 years
Hope this helps.
find the quotient-you must show your thinking to support your answer - 5/4 divided by 1/4
Work Shown:
[tex]-\frac{5}{4} \div \frac{1}{4}\\\\-\frac{5}{4} \times \frac{4}{1}\\\\-\frac{5\times4}{4\times1}\\\\-\frac{5}{1}\\\\-5[/tex]
Whenever you divide fractions, you flip the second fraction and multiply. In this case, the '4's cancel.
If you can drive 300 km on 16 litres of petrol how far can you drive on 20 litres
Answer:
The answer is 375
Step-by-step explanation:
First you would need to divide 300 and 16 then you would get 18.75 then you multiply that by 20 and then you get your final answer which is 375.
A trapezoid has an area of 18 mi.² the bases are 5 miles and 7 miles what is the height of the trapezoid-
Answer:
the answer is H=3 miles
Step-by-step explanation:
Area of Trapezoid = [tex]{(Base1+Base2)/2 }* (Height)[/tex]
we sub the values we have in the formula:
18= ( 5+7)/2 * (H)
H = (2*18)/(5+7)
H = 3 miles
where is H is the Height
Please can you help I’ll give most Brainly worth 63 points to but also this is my last question and I’m stuck
Answer:
2.726
Step-by-step explanation:
This question has a lot of answers because it doesn't specify a certain w or l.
11.6*9.4=109.04
109.04*.1/4=27.26
x*y=27.26
x*10=27.26
x=2.726
any two numbers could multiply to that number.
I just used 10 and got 2.726
In the table below, x represents miles traveled and y represents the cost to travel by train.
Miles, x
Cost, y
2
8.50
5
15.25
8
22.00
12
31.00
Which linear equation represents the situation?
y = 2 x + 8.50
o y = 2.25 x + 4.00
y = 6.50 x + 2.25
y = 12 x + 22.50
It's second option, just didn't see a question up for this one
Answer:
Y=2.25x+4.00 would be the answer!:)
Step-by-step explanation:
The slope is 2.25 and the starting point is 4.00
To find the slope subtract 8.50 and 15.25 then divide it by 3
Answer:
B.) y = 2.25x + 4.00
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
A father is 3 times as old as his son, 9 years ago the father was 4 times as old
as his son. find their present ages.
[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]
Given :-We have given in the question that, A father is 3 times as old as his son 9 years a ago, The father was 4 times as old as his son To Find :-We have to find the present ages of son and father Let's Begin :-Let the present age of son be x
A father is 3 times old as his sonTherefore,
Present age of the father will be
[tex]\bold{ = 3x\:\: years }[/tex]
9 years ago,
The age of the son was
[tex]\bold{ = ( x - 9)\: years}[/tex]
So,Age of the father was
[tex]\bold{ = 3(x - 9) \:years ...eq(1)}[/tex]
But,
It is given that, 9 years a ago father was 4 times as old his son age That is, [tex]\bold{ 4(x - 9) ...eq(2)}[/tex]From eq(1) and eq(2) :-
[tex]\sf{3(x - 9) = 4(x - 9)}[/tex]
[tex]\sf{3x - 27 = 4x - 36}[/tex]
[tex]\sf{3x - 4x = -36 + 27}[/tex]
[tex]\sf{-x = -9 }[/tex]
[tex]\bold{\pink{ x = 9 \: years }}[/tex]
Thus, The present age of the son is 9 years
Therefore,Age of the father will be
[tex]\sf{ = 3 × 9 }[/tex]
[tex]\bold{\red{ = 27 \: years }}[/tex]
Hence, The present ages of son and father is 9 years and 27 years
i need help, plsss
4(-4x-1)+x+3=44
Answer:
x = -3
Step-by-step explanation:
Start by distributing the 4 to the terms in the parentheses:
4(-4x)+4(-1)+x+3=44
-16x-4+x+3=44
Combine like terms
-15x-1=44
Add 1 to both sides
-15x-1+1=44+1
-15x=45
Divide both sides by -15
x = -3
Answer: x = -3
Step-by-step explanation: distribute, combine, divide, you get x = -3
One more I think!
We got this!
Which of the following ordered pairs are solutions to the system of equations below?
a. (1, 6)
b. (1, -6)
3. (-1, -6)
4. (-1, 6)
Given :-
A system of linear equation in two variables .To Find :-
The solution set of the system .Solution :-
The given system of equation is ,
[tex]\begin{cases} 3x + 2y = 9\dots (i) \\\\ y = 4x + 10 \dots (ii)\end{cases}[/tex]
Firstly , taking equation (ii) ,
[tex] y = 4x +10[/tex]
On subtracting y on both sides, we have ;
[tex] 4x - y +10 = 0[/tex]
Multiplying both sides by 2 ,
[tex] 2(4x -y+10)=2(0)[/tex]
Simplify,
[tex] 8x - 2y = -20 \dots (iii)[/tex]
Adding equation (i) and (iii) ,
[tex] 3x + 2y + 8x - 2y = -20+9[/tex]
Add and subtract the like terms ,
[tex] 11x = -11 [/tex]
Divide both sides by 11 ,
[tex] x = -1 [/tex]
Now substitute this value in equation (i) ,
[tex] 3(-1) + 2y = 9\\ \\ -3 + 2y = 9 \\\\ 2y = 9+3 \\\\ 2y = 12 \\\\ y =\dfrac{12}{2}\\\\ y = 6[/tex]
Hence the correct option is 4 (-1,6) .
I hope this helps . Let me know if you need any further clarification .
Option 4.
For clear understanding refer to the attachment.
You have $100 to spend on Christmas gifts for your family. You buy the shirt below on sale for $15 for yourself. The remaining amount was split evenly on gifts for your four family members. How much did you spend on each family member?
Answer:
$21.25
Step-by-step explanation:
Step one: $100 and you subtract the $15 you spent on a shirt which leaves you with $85.
Step 2: finally you need to divide 4 into 85....Calculate...... You spend $21.25 on each member
Can you please help with problem 3
Answer: 6 and 8
Step-by-step explanation:
(The top and bottom)
A trapezoid has two bases and two legs. As seen, the lengths that represent the bases of the trapezoid are the parallel sides 8 and 6. This is because they go on straight and never intersect each other, which makes them parallel. The length that represents the height of the trapezoid is 4, which is the straight line that connects both bases.
Hope this helps =)
Will someone help out pleaseeeeee
Answer:
(x-2) (x+ 8)
that's the answer to the question
.
Find the values of x and y
3. In the Diagram, DEFG = WXFG.
E
х
75°
F
60°
question # 3
(15x + ylº
G 3x - 5
0
W
Answer:
x = 5 , y = 15
Step-by-step explanation:
Since the figures are congruent then corresponding sides and angles are congruent , that is
WG = DG ( substitute values )
3x - 5 = 10 ( add 5 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
and
∠ WGF = ∠ DGF , that is
15x + y = 90 ( substitute x = 5 )
15(5) + y = 90
75 + y = 90 ( subtract 75 from both sides )
y = 15
I have the equation I just don't know how to solve it
the answer to your question is a.
10/15 = x/20 in decimal
1. Observe problem
Restriction: Decimal Form
Least common multiple of 15 and 20 is: 60
Time sixty on both sides
40=3x
x=40/3
Therefore, decimal representation would be 13.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333...
Answer: 13.3 repeating
Step-by-step explanation:
First you cross multiple 10 times 20 to get 200=15x. Then you divide 200 by 15 to get 13.3 repeating
Find the missing side lengths.
Answer:
x= 6
y= 2
Step-by-step explanation:
conversion factor is 2, so you have to divide by 2 in order to get your answers :)
Answer:
x = 6
y = 2
Step-by-step explanation:
Just divide 6 a number and you have to get 3, in this case it's 2.
So then divide 4 and 12 by 2, and that will get you the answer.
Hope this helps!
What is the value of x in the equation one-fifthx – two-thirdsy = 30, when y = 15? 4 8 80 200.
On solving the linear system, for the value of y = 15, the value of x is 200. The correct option is D.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
The linear equation is shown below.
[tex]\rm \dfrac{1}{5}x - \dfrac{2}{3}y = 30[/tex]
The equation can be written as
[tex]\rm 3x - 10y = 450\\[/tex]
For y = 15, the value of x will be.
[tex]\begin{aligned} \rm 3x - 10*15 &= 450\\\\\rm 3x - 150 &= 450 \\\\\rm 3x &= 600\\\\\rm x &= 200\\\end{aligned}[/tex]
The value of x is 200.
Thus, option D is correct.
More about the linear system link is given below.
https://brainly.com/question/20379472
In the diagram below, AB is parallel to CD. What is the value of x?
72
А
B
D
O 72
O 18
62
108
Answer:
x = 72
Step-by-step explanation:
angles x and 72° are corresponding angles and are congruent , then
x = 72
The value of x is 72 degree.
Option A is correct.
What is Parallel line?The basic qualities listed below make it simple to identify parallel lines.
Parallel lines are defined as straight lines that are always the same distance apart.Parallel lines never intersect, regardless of how far they are extended in either direction.We have the parallel line AB || CD.
As, we know the parallel line have following property
Corresponding Angle are EqualAlternate Interior Angle are EqualAlternate Exterior Angle are EqualNow, from the figure using Corresponding angle
x = 72 degree
Thus, the required angle is 72 degree.
Learn more about Parallel line here:
https://brainly.com/question/16701300
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Which ordered pair is the solution to this system of equation?
y = x - 1
x + y = 5
(-6, -1)
(-6, -1)
(7, -2)
(7, -2)
(-1, 6)
(-1, 6)
(3, 2)
Answer:
(d) (3, -2)
Step-by-step explanation:
It is easy enough to check the offered choices. All but the last fail in the first equation.
(-6, -1): -1 ≠ -6 -1
(7, -2): -2 ≠ 7 -1
(-1, 6): 6 ≠ -1 -1
(3, 2): 2 = 3 -1 . . . . . this is your solution point
What is (2x⁵+2x³-5x²-x+4)÷(x²+x+2)?
Answer:
2x³ - 2x² - 1 + (6 / x² + x + 2)
Jose rode his bike for 18 miles in one hour. Which graph best represents y, the number of miles a Jose can travel in x hours?
Explain Please!
Answer:
the answer is option C..
Answer:
graph c
Step-by-step explanation:
if Jose rode his bike for 18 miles in one hour, the graph has to show it. Graph c is the only one that shows 18 miles in one hour, being the point (1,18)
identify the type of function represented by f(x)(1)/(2)*(3)^(x)
5. Which of the following algebraic expressions could
represent forty less than one-half the value of x?
A. 40 -
2
c. 3 (v – 40)
.
)
NINI
B.
40
D.
- 40
x
2
Select one:
O a. A
O b. B
Ос. С
O d. D.
Answer:
dang i had a hard time on this wish i could help
Step-by-step explanation:
find the slope intercept
Answer:
11 is B and 12 is A
Step-by-step explanation:
Which one is correct?
Answer:
C, there are 9 pencils in each row.
Step-by-step explanation:
Solve the inequality and graph the solution on the number line.
h−9 ≤ 3
I couldn't screenshot the graph
Answer:
A closed circle on 12, going to the left.
Step-by-step explanation:
h − 9 ≤ 3
+ 9 + 9
h ≤ 12
Look for a closed circle on 12, going to the left.
Hope that helps!
A cone-shaped tent has a diameter of 12 ft and a height of 6 ft. What is the approximate volume of the tent? Use 3. 14 to approximate pi, and express your final answer as a decimal. Enter your answer as a decimal in the box. Ft³.
Answer:
226.08 ft³
Step-by-step explanation:
[tex]\textsf{volume of a cone}=\frac{1}{3}\pi r^2h[/tex]
(where [tex]r[/tex] = radius of the base and [tex]h[/tex] = height)
[tex]\textsf{radius}\ r=\frac{1}{2}\ \textsf{diameter}[/tex]
Given:
diameter = 12ft ⇒ radius = 12 ÷ 2 = 6 ftheight = 6ft[tex]\pi[/tex] ≈ 3.14[tex]\implies \textsf{volume of tent}=\frac{1}{3}\times3.14 \times 6^2 \times 6=226.08 \ \textsf{ft}^3[/tex]
a right triangle has legs measuring 20 in. and 28 in. what is the length of the hypotnuse? round to the nearest tenth.
Let Hypotenuse be x
X² = 20² + 28²
x² = 400 + 784
[tex] \tt x= \sqrt{400 + 784 } [/tex]
[tex] \tt x= \sqrt{1,184} [/tex]
[tex] \tt x= 34.4[/tex]
A boat is heading towards a lighthouse, whose beacon-light is 105 feet above the water. From point AA, the boat’s crew measures the angle of elevation to the beacon, 7^{\circ}
∘
, before they draw closer. They measure the angle of elevation a second time from point BB at some later time to be 21^{\circ}
∘
. Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary.
Answer:
AB ≈ 581.6 ft
Step-by-step explanation:
The triangle from point A to the base of the lighthouse to the light beam can be modeled as a right triangle with the side opposite the angle being given. That means the distance from A to the base of the lighthouse is found from the tangent relation:
Tan = Opposite/Adjacent
tan(7°) = (105 ft)/A
A = (105 ft)/tan(7°)
Using similar reasoning, the distance to B is ...
B = (105 ft)/tan(21°)
Then the distance from A to B is ...
AB = (105 ft)/tan(7°) -(105 ft)/(tan(21°)) = (105 ft)(1/tan(7°) -1/tan(21°))
AB ≈ 581.6 ft
_____
Additional comment
We know that 1/tan(7°) = cot(7°) = tan(83°). This means the relation can be written ...
AB = (105 ft)(tan(83°) -tan(69°))
A regular octagon has a radius of 6 ft and a side length of 4. 6 ft. A regular octagon has a radius of 6 feet and side lengths of 4. 6 feet. What is the approximate area of the octagon? 71 ft2 101 ft2 110 ft2 202 ft2.
The regular octagon has eight equal sides. Then the area of the regular octagon of side length be 4.6 is 102 ft².
What is a regular octagon?It is a polygon that has eight equal sides. In a regular octagon, the opposite sides are parallel. And its diagonals are also equal and intersect at mid-point.
Given
A regular octagon has a radius of 6 ft and a side length of 4.6 ft.
We know the formula for the regular octagon.
Area of the regular octagon = 2(1 + [tex]\sqrt{2}[/tex]) a²
Where a be the side of a regular octagon.
Then the area of the regular octagon will be.
[tex]\rm Area = 2 (1+\sqrt{2} ) a^2\\\\Area = 2*(1 + 1.414) *4.6^2\\\\Area = 2 * (2.414)* 21.16\\\\Area = 102.16[/tex]
Thus, the area of the regular octagon of side length be 4.6 is 102 ft².
More about the regular octagon link is given below.
https://brainly.com/question/858868