Answer: 9 months.
Step-by-step explanation:
Simple interest = Principal x rate(in decimal) x Time(in years)
Given: Principal = $15,000 , rate = [tex]5\dfrac12\%=\dfrac{11}{2}\%= 5.5\%= 0.055[/tex]
Interest = $618.75
let t= time
Then,
[tex]618.75=15000\times 0.055\times t\\\\\Rightarrow\ t=\dfrac{618.75}{15000\times0.055}\\\\\Rightarrow\ t= 0.75\ or\ t=\dfrac34\ year[/tex]
1 year =12 months
[tex]\dfrac34\ year=\dfrac34\times12 = 9\ months[/tex]
Hence, it will take 9 months.
What is (p) + (2p + 1) + (p+4)
Answer:
4p + 5
Step-by-step explanation:
Add all like terms:
p + 2p + p = 4p
1 + 4 = 5
4p + 5
What is 20% of $3,500 ?
Answer:
700
Step-by-step explanation:
What is the calculation for determining simple interest and compound interest? Borrowing if borrowed $20,000 for 5 years at a 4% interest rate? What is total interest paid?
Answer:
If using simple interest, the formula is:
= Amount * ( 1 + rate * time)
= 20,000 * ( 1 + 4% * 5)
= $24,000
Interest = Balance after 5 years - Investment
= 24,000 - 20,000
= $4,000
Using Compound Interest:
= Amount * ( 1 + rate)^time
= 20,000 * ( 1 + 4%)⁵
= $24,333.06
Interest = 24,333.06 - 20,000
= $4,333.06
Find the 9th term of the geometric sequence 9, 27,81.....
Step-by-step explanation:
[tex]nth \: term \: = a1 \times {r}^{n - 1} \\ = 9 \times {3}^{9 - 1} \\ = 9 \times 6561 \\ = 59 \: 049[/tex]
Nick had to run 36 laps around the track. He has finished 27 laps. What is the
percent of laps that Nick has left to run?
Answer:
25%
Step-by-step explanation:
He has already done 27/36
so he has 9/ 36 left
that is is equal to 1/4
1/4 as a percentage is 25%
Two angles of a triangle measures 55° and 25° what is the measure of the third angle of the triangle
Answer:
100°
Step-by-step explanation:
55°+25°+third angle=180°(by angle sum property)
80°+third angle=180°
third angle=180°-80°
third angle=100°
Answer:
The measure of the third angle of the triangle would be 100°.
Step-by-step explanation:
25 + 55 + x = 180
80 + x = 180
x = 180 - 80
x = 100
Addi places the letters from the word DECEMBER into a bag, a letter will be randomly selected and not replaced. Thnen another letter will be celected. What is the probability of Addi selecting an C and then an E?
Answer:
Step-by-step explanation:
for c it would be 1\8
for E it would be 3\8
Answer:
Step-by-step explanation:
1/8+3/8= 4/8
How did you compute the cost of 4 pounds of beef at $5.89 per pound? Use this example to explain your strategy.
Answer:
$23.56
Step-by-step explanation:
Step one:
given data
We are told that the unit cost per pound is $5.89
Required
the cost of 4 pounds
If 1 pound cost $5.89
4 pounds cost x
cross multiply
x= 4*5.89
x=$23.56
The slope of a line is the ratio of rise to run for any two points on a line. Is this a true statement? Explain in two to four sentences. If false, provide a corrected statement.
Answer:
True
Step-by-step explanation:
The slope is the ratio of rise to run for any two points on a line.
The rise is the change in vertical axis, y
Rise = y2 - y1
The run is the change in the horizontal axis, x
Run = x2 - x1
Slope is the ratio of both:
Rise / Run = (y2 - y1) / (x2 - x1)
On average sasha can drive 28 miles on every gallon of gasoline if she fills up her tank for $2.25 per gallon how much will it cost her to drive 336 miles
Answer:
It will cost her $27 to drive 336 miles.
Step-by-step explanation:
With the information provided, you can use a rule of three to find how much it will cost to drive 336 miles given that driving 28 miles costs $2.25:
28 miles → $2.25
336 miles → x
x=(336*2.25)/28= 27
According to this, the answer is that it will cost her $27 to drive 336 miles.
PLS HELP ASAP WILL GIVE BRAINLIEST!
Answer:
A & C
Step-by-step explanation:
Hope this Helps! :)
Answer:
A and C
Step-by-step explanation:
They do not know how many fish nor mammals there are therefore those are unknown
Which shows the correct substitution of the values a, b, and c from the equation 1 = –2x + 3x2 + 1 into the quadratic formula?
Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction
Answer:
its B on edg2020
brainlest please
The correct substitution for the formula is a = 3,b= -2 and c=0.
What is a quadratic equation?
It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
The given quadratic equation is,
1 = –2x + 3x² + 1
3x²-2x + 0 = 0
The formula is,
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
The standard form of the quadratic equation is,
ax² + bx + c = 0
Compare the equation with the standard equation.
a = 3
b = -2
c = 0
Therefore, the correct substitution for the formula is a = 3,b= -2 and c=0.
To know more about quadratic equations follow
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Simplify the rational expression:
5y+5/2 ÷ 25y-20/40y²-32y
Step-by-step explanation:
Your problem → 5y+5/2 / 25y-20/40y^2-32y
5y+5/2÷25y-20/40y^2-32y
=5⋅y+5/2÷25×y-20/40×y^2-32×y
=5y+5/2÷25×y-20/40×y^2-32y
=5y+5/2×1/25×y-20/40×y^2-32y
=5y+y/10-20/40×y^2-32y
=5y+y/10-y^2/2-32y
=5y×10+y-y^2×5-32y×10 ÷ 10
=50y+y-5y2-320y ÷ 10
= -269y-5y^2 / 10
Help me with this pls
A. 2x+30=90
Step-by-step explanation:
To find x they must add to 90 degrees
BRAINLEST: Without shipping costs, a textbook costs $11.17 from a particular online
dealer. If Jordan paid $14.43 for the textbook, including shipping, how
much did the shipping cost?
Answer:
3.26$
Step-by-step explanation:
Simply subtract one from another to find the difference in the cost.
Using π = 3.14, what is the circumference of a circle with a radius of 3.6 units? Round your answer to the nearest hundredth.
Answer:
The circumference is 22.61
C=2πr
C=2π(3.6)
C=7.2 π
C=22.608
Step-by-step explanation:
use the coordinates below to determine if abc and def are congruent a(2 -8)
HELP
Answer:
Step-by-step explanation:
We need to find whether the two given triangles are congruent.
The given triangles are congruent.
The distance between two points is given by
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
A(2,-8) and B(-5,-2)
[tex]AB=\sqrt{(-5-2)^2+(-2-(-8))^2}\\\Rightarrow AB=\sqrt{49+36}\\\Rightarrow AB=\sqrt{85}[/tex]
D(-9,7) and E(-11,12)
[tex]DE=\sqrt{(-11-(-9))^2+(12-7)^2}\\\Rightarrow DE=\sqrt{29}[/tex]
B(-5,-2) and C(-7,3)
[tex]BC=\sqrt{(-7-(-5))^2+(3-(-2))^2}\\\Rightarrow BC=\sqrt{29}[/tex]
E(-11,12) and F(-2,1)
[tex]EF=\sqrt{(-2-(-11))^2+(1-12)^2}\\\Rightarrow EF=\sqrt{202}[/tex]
A(2,-8) and C(-7,3)
[tex]AC=\sqrt{(-7-2)^2+(3-(-8))^2}\\\Rightarrow AC=\sqrt{202}[/tex]
D(-9,7) and F(-2,1)
[tex]DF=\sqrt{(-2-(-9))^2+(1-7)^2}\\\Rightarrow DF=\sqrt{85}[/tex]
It can be seen that [tex]AB=DF=\sqrt{85}[/tex], [tex]BC=DE=\sqrt{29}[/tex] and [tex]AC=EF=\sqrt{202}[/tex].
Since, each side of triangle ABC is equal to one side of triangle DEF they are congruent to each other.
Learn more:
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Use the triangle below. Find the length of the missing side. If necessary, round to the nearest tenth. B = 12 and c = 13 A= ?
Answer:
..................
17.7
complete it (picture)
Use the triangle below. Find the length of the missing side. If necessary, round to the nearest tenth. b = 12 and c = 13
A=?
Answer:
☆The length of the missing side is 5.
.
Step-by-step explanation:
☆Remember, Pythagorean theorem!
It looks like: [tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
.
☆All we need to do is plug in!
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {a}^{2} + {12}^{2} = {13}^{2} \\ {a}^{2} + 144 = 169 \\ \frac{\: \: \: \: \: \: \: \: - 144 = - 144}{ {a}^{2} = \sqrt{25} } \\ a = 5[/tex]
☆Therefore the value of A is 5.
A construction job for gallery 10 painters were tasked with painting the interior these painters made up 40% of the painting crew so how many painters in all worked on this job
Answer:
Total number of painters = 25 painters
Step-by-step explanation:
Interior painting = 10 painters
These painters made up 40% of the painting crew
how many painters in all worked on this job?
Let
Total number of painters = x
Interior painters = 40% of x
10 = 40% * x
10 = 0.4 * x
10 = 0.4x
x = 10/0.4
x = 25 painters
Total number of painters = x = 25 painters
A factory uses 1/6 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1/2 of a barrel of raisins. How many batches of granola bars did the factory make yesterday? Simplify your answer and write it as a proper fraction or as a whole or mixed number.
Answer:
The factory made 3 batches of granola bars.
Step-by-step explanation:
Given that:
1/6 barrel of raisins is used in each batch of granola bars.
1/6 barrel = 1 batch
1/2 barrel = x batches
As the relationship is proportional,
1/6 : 1 :: 1/2 : x
Product of mean = Product of extreme
[tex]\frac{1}{6}x=\frac{1}{2}[/tex]
Multiplying both sides by 6
[tex]6*\frac{1}{6}x=\frac{1}{2}*6\\x=3[/tex]
Hence,
The factory made 3 batches of granola bars.
The length of a cell phone is 1.6 inches and the width is 3.2 inches. The company making the cell phone wants to make a new version whose length will be 0.96 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Answer:
5.76
Step-by-step explanation:
i just added them
PLEASE HELP MEEE PLEASEEEE
9514 1404 393
Answer:
x³ +9x² +27x +27
Step-by-step explanation:
Put x where 'a' is, and put 3 where 'b' is in the given pattern, then simplify.
(x +3)³ = x³ +3x²(3) +3x(3²) +3³
= x³ +9x² +27x +27
Is W = 2 a solution to the inequality below?
8 < W
yes
no
Pls help
Answer: no
Step-by-step explanation: 8 is not less than 2
Please this is my last point I really need help
Show workings
Answer:
x = 14.375
Step-by-step explanation:
Ok, so we know that a triangle has a total interior degree of 180°. And since we already have a 95° angle, we just need to subtract 95 from 180.
180° - 95° = 85°
Now, we already have indicators that two of the three sides are equal. And we already got the angle of the side that does not have a matching partner. So we just need to divide what we already have by 2.
85° / 2 = 42.5°
Now that we know each side is 42.5 degrees, we just need to grab our given equation and put and equal sign at the end with what we already know is the answer (since we are trying to solve for x).
(4x - 15) = 42.5
Now, let's just get rid of those useless parentheses.
4x - 15 = 42.5
Next, we just need to have the variable on its own side, all by itself. So, in order to do that, we just add 15 to both sides.
4x = 57.5
Now, for our final step, we just need to divide each side by our variables' factor (which is a positive 4). In which we get our final answer of:
x = 14.375
Answer:
x = 14.375
Step-by-step explanation:
Since 2 sides are congruent then the triangle is isosceles and the base angles are congruent, both (4x - 15)
The sum of the 3 angles in the triangle = 180°
sum the angles and equate to 180
4x - 15 + 4x - 15 + 95 = 180 , that is
8x + 65 = 180 ( subtract 65 from both sides )
8x = 115 ( divide both sides by 8 )
x = 14.375
The Science Club went on a two-day field trip. The first day the members paid $30 for transportation plus $10 per ticket to the planetarium. The second day they paid $85 for transportation plus $7 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.
emergency help mate i need answers now
Answer: 132
Step-by-step explanation: For day A the students payed 40 dollars and on day B they paid 92 so 40+92=$132 in all.
Two brothers, Jim and John, had a straight log in their backyard. Jim wanted the log cut into 24 equal parts. He painted red lines on the log and called to a lumberjack to cut the log by the painted lines. John wanted the log cut too, but into 18 equal parts. He painted yellow lines on the log with some yellow lines painted over red lines. The lumberjack came and cut the log by the painted lines. How many cuts did the lumberjack make?
Answer:
432
Explanation:
If the lumberjack follows Jim's instruction and cuts the log of wood into 24 parts the first time, the log of wood has 24 parts
If the lumberjack follows John's instruction to further cut the log of wood already cut into 24 parts then we would have 24×18= 432 parts of the log of wood
Can someone help I'm horrible at math!!it's also to today!!!
Answer: C
Step-by-step explanation: When triangles are similar, all of their angles should be equal to their respective angles on the other triangle.
Chiyoko wants to fence off a section of her backyard to be an exercise space for her dogs, as shown in the diagram. Chiyoko must find the perimeter to figure out how much fencing she needs. How can Chiyoko express the perimeter in the most simplified way?
A.4(x + 4)
B. x(x + 4)
C. 5x + 4
D . 5x + 8
Answer:
D
Step-by-step explanation:
i did it
Answer:
It is D
Step-by-step explanation:
The way to find the perimeter is to add the side lengths and then simplify by combining like terms.
