Answer:
amount in 30 yrs is: $1787.0977
interest is for 20 yrs: $1387.0977
Step-by-step explanation:
Given data
principal amount = $400
rate = 5 % = 0.05
time period = 20 years
(Sorry if I'm wrong :( )
Use the distributive property to remove parentheses
2/5(4+10y)
2/5(4) + 2/5(10y)
8/5 +20y/5
8/5 + 4y
Answer:
8/5 + 4y
Step-by-step explanation:
[tex]\frac{2}{5}(4)=\frac{8}{5}\\\\\frac{2}{5}(10y)=4y\\\\\frac{8}{5}+4y[/tex]
An elevator starts on the 15th floor, then rises 8 floors, drops 10 floors and rises 2 floor. What floor is the elevator on?
Answer:
15
Step-by-step explanation:
rises 8 floors = 15 + 8 = 23
drops 10 floors = 23 - 10 = 13
rises 2 floors = 13 + 2 = 15
calculate the absolute value
| 4 - 3x | = 5x + 4
Recall the definition of absolute value:
• |x| = x if x ≥ 0
• |x| = -x if x < 0
So we have 2 cases to consider:
• If 4 - 3x ≥ 0, then |4 - 3x| = 4 - 3x, and we have
4 - 3x = 5x + 4
8x = 0
x = 0
• If 4 - 3x < 0, then |4 - 3x| = -(4 - 3x) = 3x - 4, which gives
3x - 4 = 5x + 4
2x = -8
x = -4
However, keep in mind that |x| is always non-negative. If x = -4, then the right side of the equation becomes
5(-4) + 4 = -20 + 4 = -16 < 0
so the solution in this case is extraneous.
What is the volume of a square pyramid that is 15cm tall and has a base area of 16 square centimeters
Answer:
Formula
V=a^2h/3
a is the base area
h is the height
V= 16^2×15/3
V=1280cm^3
13. Solve 5x² - 6x + 1 = 0 using the quadratic formula.
please help me and show work
Answer: x= 1, [tex]\frac{1}{5\\}[/tex]
Step-by-step explanation:
The quadratic equation is
[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
and
[tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]
So we just need to sub in the proper numbers from the equation given, in this case, it would result in
[tex]x=\frac{6+\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]
and
[tex]x=\frac{6-\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]
Once we get this we can either manually simplify or use a calculator, using a calculator would result in the answers
x= 1, [tex]\frac{1}{5\\}[/tex]
episode the ratio of males to females were 3 to 9 if there are 360 people at the fair how many males are there exact answer
Answer:
90 males
Step-by-step explanation:
3 males plus 9 females is 12 overall.
360/12 is 30 for each "1".
30 multiplied by 3 males is 90 males.
Hopefully that made sense. Sorry I'm bad at explaining.
20 - (30 -50) x 10
= 20 - (-20) x 10
= 20 - 20 x 10
= 0 x 10
= 0
where is the mistake?
Answer:
20-(30-50)×10
20 - × - 20 ×10
20+20×10
20+200
220
order these numbers from least to greatest
2.069, 2.7, 2.6912, 2.69
Answer:
2.069, 2.69, 2.6912, 2.7
Step-by-step explanation:
Tom works at a car dealership selling cars. If he makes $4000 a month and $250 per car he sells, how much did he
make in July if he sold 12 cars? In August he made $6500, how many cars did he sell?
Answer:
Answer = he made 7,000 in July and sold 10 cars in august.
Step-by-step explanation:
Don’t pay attention to number 6 I just need help with number 5.
State if the given binomial is a factor of the given polynomial.
(2x^3+16x^2+22x-40) + (x+4)
Answer: Yes, (x+4) is a factor of the given polynomial.
==========================================================
Explanation:
We can use the remainder theorem here.
Consider any polynomial p(x). The binomial x-k will be a factor of p(x) if and only if p(k) = 0. I'm using the special case of the remainder theorem, where we look for a remainder of 0.
The binomial x+4 is the same as x-(-4). Compare this to x-k to see that k = -4.
Then plug this k value into the p(x) polynomial given
p(x) = 2x^3 + 16x^2 + 22x - 40
p(-4) = 2(-4)^3 + 16(-4)^2 + 22(-4) - 40
p(-4) = 2(-64) + 16(16) + 22(-4) - 40
p(-4) = -128 + 256 - 88 - 40
p(-4) = 0
This shows that dividing p(x) = 2x^3 + 16x^2 + 22x - 40 over x+4 leads to a remainder of 0. Therefore, (x+4) is a factor of p(x).
10. A rectangle has width the same as a side of a square whose perimeter is 20 m. the length
of the rectangle is 9 m. Find the perimeter of this rectangle.
Answer:
The perimeter of the rectangle is 28m
Step-by-step explanation:
Perimeter of a square = 4 x side length
20 = 4 x side length
side length = 20/4 = 5m
width of rectangle = 5m
length of rectangle = 9m
Perimeter of rectangle = 2(l + w)
= 2(9 + 5)
= 2(14)
= 28m
Help please due tomorrow
Answer:
1/2 is the answer because its half
Answer:
1 / 2
Step-by-step explanation:
10 is to 5 as 10 (5/10) = 50/10 = 5
8 is to 4 as 8 ( 4/8 ) = 32/8 = 4
6 is to 3 as 6 ( 3/6 ) = 18/6 = 3
Each of the scale factors are 5/10, 4/8, 3/6 which equals 1/2.
Find x special right triangle
Answer:
[tex] \sin(45 ) = y \div 11 \sqrt{6} [/tex]
[tex] \frac{1}{ \sqrt{2} } = \frac{y}{11 \sqrt{6} } \\ \\ y = \frac{11 \sqrt{6} }{ \sqrt{2} } \\ y = 11 \sqrt{3} [/tex]
[tex] \tan(60) = \frac{x }{11 \sqrt{3} } \\ \\ \sqrt{3} = \frac{x}{11 \sqrt{3} } \\ x = \sqrt{3} \times 11 \sqrt{3} \\ x = 33[/tex]
PLEASEEE HELP I AM GIVING BRAINLIEST PLSSS
Answer:
Step-by-step explanation:
lim x ->0 ln(1+5x)/2x
answer
−>0(1+5)/2
hope it helps
11x-3y=54 find slope and y intercept
Answer:
m=11/3,y intercept is (0,-18)
Step-by-step explanation:
-3y=54-11x
y=-18+11/3x
the slope is 11/3
the y intercept is (0,-18)
The student body of 125 students wants to elect a president, vice president, and secretary. How many possible results are there?
Which of the following fractions converts to a repeating decimals
Step-by-step explanation:
The answer is a option.
hope it helps
19. Solve 5x^2 - 6x + 1 = 0 using the quadratic formula.
Please give detailed steps!!
Answer:
x = 1 , x = 1/5
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT!
Answer:
3 feet
Step-by-step explanation:
The equation modeled by this throw is
-16t^2+8t+2
Using the vertex x coordinate formula of -b/2a,
we find that the x coordinate of the vertex is 0.25. Subbing 0.25 seconds for t into -16t^2+8t+2, we find out that the y value of the vertex is 3. This means the highest point reached by the ball is 3 feet and this takes 0.25 seconds
Given: Circle W W (-4, 6) Radius = 10 Units Which point lies on circle W?
The solution is : Option A is correct; Point Q is outside circle W
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.
here, we have,
If the circle is given as having center W, this means the radius starts from point W and ends at any point on the circumference.
The radius has been given as 5 units, and this also means any measurement from point W to the circumference is either equal to or less than the radius which is 5 units.
Any measurement that is greater than 5 would be outside of the circumference.
we have,
Point Q is 6 units away from point W, therefore point Q is outside the circumference, that is, outside circle W.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
complete question:
Circle W has a center of point W and a radius of 5 units. Point Q is 6 units away from point W. Where is point Q?
A)outside circle W
B)inside circle W
C)on circle W
D)cannot be determined
PLEASE HELP ME!
A box P contains five cards labeled with numbers 1, 2, 4, 5, 7 and a box Q contains five cards labeled S, I, H, A, T. A card is chosen random at boxes P and Q respectively. Verify conjecture about the formula of probability of getting prime number and a vowel letter by listing all the possible outcome.
Graph the given function.
f(x)=(x-1)^3+2
Answer:
Sorry
Step-by-step explanation:
For my Poor H. And Coordinates
A group of friends in Chicago watched a televised bullfight. They ordered 3 pizzas ($15 each), 15 drinks ($1.50 each), and 6 large nachos ($5.80 each). After adding 5% and a 20% tip to the total, what did they pay for the food? (The tip is 20% of the total before the tax is added) around the answer to the nearest while cent
Answer:
$127.875
Step-by-step explanation:
cost of 3 pizzas= $15*3
cost of 3 pizzas=$45
cost of 15 drinks=$1.50*15
cost of 15 drinks=$22.5
cost of 6 nachos=$5.80*6
cost of 6 nachos=$34.8
Total cost = pizza cost+ drinks+nachos
total cost=$45+$22.5+$34.8
total cost=$102.3
Now ,
Tip cost=$102.3*20%
=$20.46
tex cost=$102.3*5%
=$5.115
Bill which all friends pay=total cost+ tip cost+tex cost
= $102.3+$20.46+$5.115
=$127.875
Graph step by step:
f(x)=-2x+1
Step-by-step explanation:
Root:(1/2, 0)
Domain: x∈R
Range: y∈R
Vertical intercept: (0, 1)
Solve the formula for the specified variable P=wm
Answer:
below
Step-by-step explanation:
I'm not sure what variable you want to solve for but I'll solve for w and m if needed.
p = wm
~Divide w to both sides
p/w = m
p = wm
~Divide m to both sides
p/m = w
Best of Luck!
Which equation has no solution?
4(х + 3) 2x = 6(х + 2)
5 + 2(3 + 2x) = x4 3(х + 1)
5(х + 3) +х= 4(х + 3) + 3
4 + 6(2 + х) = 2(3х + 8)
Answer:
2? equation does not have a solution
Step-by-step explanation:
Find the value of x.
Answer:
x = 8
Step-by-step explanation:
Since all the angles are congruent, this is an equilateral triangle. With an equilateral triangle, all sides are equal.
find the defference between 5 2/7 and 2 2/4
Answer: 39/14
Step-by-step explanation:
Given
5 2/7 - 2 2/4
Convert mixed fraction to improper fraction
5 2/7 = (5 × 7 + 2) / 7 = (35 + 2) / 7 = 37/7
2 2/4 = (2 × 4 + 2) / 4 = (8 + 2) / 4 = 10 / 4 = 5/2
Find the common denominator for 37/7 and 5/2
First 10 multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
First 5 multiples of 7 = 7, 14, 21, 28, 35
Since 14 is the first common multiple in the lists, 14 would be the common denominator of 37/7 and 5/2
Convert to the common denominator
(37 × 2) / (7 × 2) = 74 / 14
(5 × 7) / (2 × 7) = 35 / 14
Simplify by subtraction of numerator
=74/14 - 35/14
=(74 - 35) / 14
=[tex]\boxed{\frac{39}{14} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
please help brainliest to correct answer
Answer:
2nd one
Step-by-step explanation:
as it is a negative number so the point on the number line should move backwards