1) To get the present value, we need to get the amount after 5.5years
Amount = Principal + Interest
Interest = PRT/100
Interest = $19,513.75*3*5.5/100
Interest = 321,976.875/100
Interest = $3219.76875
Amount = $19,513.75+$3219.76875
Amount = 22,733.51875
Hence the present value is $22,733.51875
2) Simple Interest = PRT/100
Simple Interest = 5000*(4 3/4)* 18/12*100
Simple interest = 5 * 19 * 18/4*12
Simple interest = 1710/48
Simple interest =35.625
Amount = 5000 + 35.625
Amount = $5035.625
Hence the present value is $5035.625
Richard sells cupcakes at a school bake sale for $1.25 each. The amount of money, m, that he makes and the number of cupcakes he sells, c, are related. Which variable is the Independent Variable and which variable is the Dependent Variable? Independent Variable: Dependent Variable:
Answer:
Independent: Number of cups he sells
Dependent: Amount of money he makes
Step-by-step explanation:
Complete the equation to show how to find the sum of 7/10 and 20/100. Write your answers in the boxes. HALP MEH PLS
Answer:
9/10
Step-by-step explanation:
To solve this you need a common denominator, here we'll make it 10, leaving 7/10 and simplifying 20/100 by dividing both the 20 and 100 by 10 to get our common denominator of 10. Now we have 7/10 + 2/10 which is 9/10.
A car uses 25 litres of fuel when travelling 355 kilometers. How far can it travel with 42 liters of fuel
Answer:
[tex]\boxed {\boxed {\sf 596.4 \ kilometers}}[/tex]
Step-by-step explanation:
Let's create a proportion using this setup.
[tex]\frac {liters}{kilometers} = \frac{liters}{kilometers}[/tex]
We know that 25 liters are used for 355 kilometers.
[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{liters}{kilometers}[/tex]
We don't know how many kilometers are used with 42 liters. Therefore we say x kilometers are used for 42 liters.
[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{42 \ liters}{x \ kilometers}[/tex]
[tex]\frac {25 }{355 } = \frac{42 }{x}[/tex]
Cross multiply. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.
[tex]25*x=42*355[/tex]
[tex]25x=14910[/tex]
Since we are solving for x, we need to isolate the variable. x is being multiplied by 25. The inverse of multiplication is division, so divide both sides by 25.
[tex]\frac{25x}{25}=\frac {14910}{25}[/tex]
[tex]x=596.4[/tex]
The car can travel 596.4 kilometers with 42 liters of fuel.
Martina owns 32 shares of a certain stock. Yesterday the value of each share went up by 8
dollars. What was the total change in value of her shares?
Answer:
wef
Step-by-step explanation:
wef
A string requires 186n of force to break a 1.5 kg mass is tied to the string
Question 17
5 pts
The population of fish in an aquarium can be modeled after exponential growth. If there
were originally 3 fish and after 6 weeks there were 31 fish, how many fish would there
be after 14 weeks?
321 fish
698 fish
452 fish
815 fish
Answer:
698 fishes
Step-by-step explanation:
Generally, we can represent an exponential growth function as;
y = a•(1 + r)^t
originally, there were 3 fishes
The original value in this case means a = 3
After 6 weeks, there were 31
31 in this case is y
r is the increase percentage or rate
t is the time
So, we have it that;
31 = 3•(1 + r)^6
31/3 = (1 + r)^6
10.33 = (1 + r)^6
ln 10.33 = 6 ln (1 + r)
ln 10.33/6 = ln (1 + r)
e^0.3892 = (1 + r)
1 + r = 1.476
r = 1.476-1
r = 0.476 or 47.6%
So the growth percentage or rate is 47.6%
For 14 weeks, we simply have the value of t as 14;
So ;
y = 3•(1 + 0.476)^14
y = 3(1.476)^14
y = 698 fishes
A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many DUCKS are there?
Answer:
let no of pigs=x
ducks=y
x+y=10.....(1)
4x+2y=36
2x+y=18....(2)
by(1)..y=10-x
putting vvalue
2x+10-x=18
x=8
ducks=8
Which could NOT be the length of the unknown side of the triangle?
Answer:
5
Step-by-step explanation:
1.
Solve 17 - x = 1 + 3x
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
1) Add x to both sides.
[tex]17 = 1 + 3x + x[/tex]
2) Simplify 1 + 3x + x to 1 + 4x.
[tex]17 = 1 + 4x[/tex]
3) Subtract 1 from both sides.
[tex]17 - 1 = 4x[/tex]
4) Simplify 17 - 1 to 16.
[tex]16 = 4x[/tex]
5) Divide both sides by 4.
[tex] \frac{16}{4} = x[/tex]
6) Simplify 16/4 to 4.
[tex]4 = x[/tex]
7) Switch sides.
[tex]x = 4[/tex]
Therefor, the answer is x = 4.
Please help me figure this out
In the accompanying diagram of rectangle ABCD, diagonal AC is drawn, DE = 8, DE 1 AC, and m2 DAC = 55. Find the area of rectangle ABCD to the nearest integer.
Answer:
sin (55) = DE / AD
AD = DE / sin (55)
AD = 8 / sin (55)
And
tan (55) = DC / AD
tan (55) = DC / [8 / sin (55) ]
DC = 8 tan (55) / sin (55)
AD * DC =
[8 /sin (55) ] [ 8 tan (55) / sin (55) ] = 136 units^2
Step-by-step explanation:
f
Which equation represents a linear function
Answer: B
Step-by-step explanation:
A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 2√3 cm.
What is the area of the hexagonal floor tile?
Enter your answer as a decimal to the nearest hundredth.
area = cm2
Answer:
Area of regular hexagon[tex] \approx 41.57 \: {cm}^{2} [/tex]
Step-by-step explanation:
Area of regular hexagon
[tex] = 6 \times area \: of \: one \: triangle \\ \\ = 6 \times \frac{1}{2} \times 4 \times 2 \sqrt{3} \\ \\ = 24 \sqrt{3} \\ \\ = 41.5692194 \: {cm}^{2} \\ \\ \approx 41.57 \: {cm}^{2} [/tex]
Answer:
41.57
Step-by-step explanation:
took the test
????help me please #6thgrademath
Answer:
c
Step-by-step explanation:
you divide to see how much she earns per hour
solve for x. please help asap we have a test on these tomorrow and i have no idea what’s going on.
Answer:
x = 20°
Step-by-step explanation:
You know the horizontal line is 180°. If the left side of the horizontal line is 90° (right angle), then the right side of the horizontal line should be 90° too. (180° - 90° = 90°)
Thus, 90° = 43° + 2x + 7°
2x = 90° - 43° - 7°
= 40°
x = 40° ÷ 2
x = 20°
Answer:
X = 2
Step-by-step explanation:
As the lines are perpendicular...
90 = 43 + 2x + 7
Solve for x by making x the subject.
90 - 43 - 7 = 2x
40 = 2x
40/2 = x
20 = x
therefore, x = 2
Can someone explain what the GFC is to me pls. Step by step explanation.
Answer:
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.
Step-by-step explanation:
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.
Answer:
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
Step-by-step explanation:
Example: 6,8,20
6-1,2,3,6
8-1,2,4,8
20-1,2,4,5,20
GCF is 2
its math and i think thats all you really need to know
Answer:
148692/12
Step-by-step explanation:
12391
Pls pray for me of this is the last one-
What’s is 3+4+8+9+2+5+6+7=
Answer:
44
Step-by-step explanation:
I just used mental math soooo.......
have a great day luvs <3
Answer:
44
Step-by-step explanation:
3+4+8+9+2+5+6+7=
7+8+9+2+5+6+7=
15+9+2+5+6+7=
24+2+5+6+7=
26+5+6+7=
31+6+7=
37+7= 44
44 = 44
how do you find the circumference of a circle
Answer:
circumference = pi (3.14 or 22/7, whatever your teacher wants or whatever the problem asks) x the diameter
Step-by-step explanation:
Answer:
To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).
Step-by-step explanation:
I hope the images help!!
A cube-shaped box has a volume of 1000 cubic inches. How tall is the box?
Answer:
10 inches
Step-by-step explanation:
the box is 1000 cubic inches in volume, and 10×10×10 is 1000
The side lengths are each 10 inches tall
The box is 10 inches tall, wide, and long
Solve the equation for a.
3a+13.61=−9.43
What is the value of a that correctly solves the equation?
Enter your answer as a number with two decimal places, like this: 4.25
Do not round your answer.
Answer:
a=-7.68
Step-by-step explanation:
3a+13.61=-9.43
-13.61
_____________
-23.04
3a=-23.04
-23.04/3= -7.68
what % of 276 = 77.28
Answer:
28%
Step-by-step explanation:
you can divide 276 by 100 to get how much each individual percentage is worth so when you multiply that number by 28 you get 77.28
5.) Solve the proportion. *
2
m - 6
7.
m - 8
Explain what it means for x and y to vary directly
Answer:
(Some textbooks describe direct variation by saying " y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x . ") This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.
Help hurry !2. What is the value of the expression? (V5)?
B) V125
C) 5
A) V5
D) 25
Does 3 (x-1) = 2x + 9 have one solution, no solution, or infinite solutions?
Answer:
one solution
x = 12
Step-by-step explanation:
3 (x-1) = 2x + 9
3x - 3 = 2x + 9
subtract 2x from each side of the equation:
x - 3 = 9
add 3 to each side:
x = 12
Step-by-step explanation:
3x-3=2x+9
3x-2x=9+3
x=12
only one solution
Find the measure of unlabeled angle in the quadrilateral
Answer:
x=140
Step-by-step explanation:
A quadralterial interior angles sum up to 360. We are given three angles and need to find the missing angle.
Let x, represent the missing angle.
[tex]60 + 55 + 105 + x = 360[/tex]
[tex]220 + x = 360[/tex]
[tex]x = 140[/tex]
What are the measures of ∠1, ∠2, and ∠3?
Answer:
wjdh
Step-by-step explanation:
wqd
select the correct answer. one of the factors of the polynomial x^3+5x^2+6x is (x^2+3x). what is the other factor?
Answer:
x(x+2)(x+3)
Step-by-step explanation:
Answer:
x+2
Step-by-step explanation: