Answer:
After three days Heng will have 9000.15 in his account.
Step-by-step explanation:
In order to solve this problem, we must apply the correct formula, which is given below:
[tex]M = C*(1 + r/n)^{n*t}[/tex]
Where M is the final amount, C is the money invested, r is the annual interest rate, n is the number of times the money gets compounded in a year and t is the time elapsed. Since in this account the money is compounded daily, it means that for each year it gets compounded 365 times, therefore n = 365. The ammount will be compounded for 3 days, therefore we must convert this value to years in order to apply it in the "t" variable, we do that by dividing it by 365. With this knowledge we can solve the problem as shown below:
[tex]M = 9000*(1 + \frac{0.002}{365})^{365*\frac{3}{365}[/tex]
[tex]M = 9000*(1.000005479)^{3}\\M = 9000.15\\[/tex]
After three days Heng will have 9000.15 in his account.
Find the midpoint of a line segment starting from the origin and ending at (–8, 0).
Question 6 options:
A)
(0, 0)
B)
(–16, 0)
C)
(0, –4)
D)
(–4, 0)
Answer:
Option D
-4, 0
Step-by-step explanation:
We will first of all identify the coordinates we are dealing with here.
The coordinates for this question (x,y) are: (0,0) and (-8,0)
The next thing we will do is get the formula for finding mid points of line segments.
This is [tex](\frac{x_{1}+x_{2}}{2}, )(\frac{y_{1}+y_{2}}{2}, )[/tex]
Next we will substitute the values of x 1 ,x 2, y 1, and y 2 into the equation.
We will have
[tex](\frac{0+(-8)}{2}, )(\frac{0+0}{2}, )=(-4, 0)[/tex]
Hence the coordinates of the midpoint is (-4,0)
15 POINTS!!
A scale drawing of a living room is shown below. The scale used to create this drawing is 1 in. = 2 ft. What is the actual area of the living room?
Write down the value of of
(square root of 49)
Work out the value of
5^³
Ali and Felicia analyzed the patterns of equivalent ratios for StartFraction 3 Over 8 EndFraction in the table below.
A multiplication table. In the column labeled 3, the numbers 3, 6, 9, 12, 15, 18, 21, 24, and 27 are highlighted. In the column labeled 8, the numbers 8, 16, 24, 32, 40, 48, 56, 64, and 72 are highlighted.
The table below summarizes the method that each person used to write equivalent ratios for StartFraction 3 Over 8 EndFraction.
Step 1: Step 2: First ratio Step 3: Second ratio
Ali Extend the table to column 16. Pick a row. Write a ratio comparing a number in column 6 to a number in column 16. Pick a different row. Write a ratio comparing a number in column 6 to a number in column 16.
Felicia Extend the table to column 24. Pick a row. Write a ratio comparing a number in column 9 to a number in column 24. Pick a different row. Write a ratio comparing a number in column 9 to a number in column 24.
Which person has a pattern of equivalent ratios for StartFraction 3 Over 8 EndFraction?
Ali only
Felicia only
both Ali and Felicia
neither Ali nor Felicia
Answer:
Your answer would be c! Have a WONDERFUL DAY!! <3
Step-by-step explanation:
Answer:IT'S C LISTEN TO HER/HIM FOR CHRIST SAKES
Step-by-step explanation:Pls mark me brainliest
Evaluate the expression when a=6 and b=4.
b +9a
Answer:
58
Step-by-step explanation:
plz answer this step by step thank you x^2 + 15x + 56
Answer:
(x + 7)(x + 8)
Step-by-step explanation:
[tex] {x}^{2} + 15x + 56 \\ = {x}^{2} + 8x + 7x + 56 \\ = {x}(x + 8) + 7(x + 8) \\ = \huge \red{ \boxed{ (x + 8)(x + 7)}}[/tex]
Nandini makes 'halwa' one evening and divides it into four equal portions for her family of four. However, just as they are about to eat it, an unexpected guest arrives and Nandini has to now re-divide the halwa into five equal portions. By what percentage has each family member's share reduced due to this?
Answer:
5%
Step-by-step explanation:
We know that when there are four people, then each person gets 25% of the halwa. However, when the fifth person comes, they have everyone including the guest get 20% of the halwa. In this way, the original four people are losing 5% of their halwa in order for the fifth person to get his piece
To prove that ΔAED ˜ ΔACB by SAS, Jose shows that StartFraction A E Over A C EndFraction = StartFraction A D Over A B EndFraction.
Triangle A E D is shown. Line segment B C is drawn from side A D to A E to form triangle A C B.
Jose also has to state that
please help!!!!!!
Answer:
A on Edg.
Step-by-step explanation:
Took the Test
Answer:
<A is congruent to <A
Step-by-step explanation:
<A is in both triangle and it can be equal to itself because of the reflexive property.
which function has a greater y-intercept? f(x)=2x^2-6x+4
a. f has a greater y-intercept than g.
b. g has a greater y-intercept than f.
c. f and g share the same y-intercept.
Answer:a. f has a greater y- intercept than g
Step-by-step explanation:
The function y=-16x^2+36 represents the height y (in feet) of an apple x seconds after falling from a tree. Find and interpret the x - and y -intercepts.
Answer:
292
Step-by-step explanation:
I don't know if it's correct but You need to learn pemdas
Btw I did this menatlly
How to do it ? plz answer it..
I hope you understand....
Jerry is making trail mix for his camping trip. He has 400 grams of peanuts, 350 grams of raisins, and 785 grams of pretzels. He wants to make 2 kilograms of trail mix.
How many more grams of ingredients does he need to add to the mix?
Jerry needs 465 grams more of ingredients to add to the mix.
You placed each of these cards in a brown paper bag and randomly select one and then record your results. After each selection, you place it back in the bag and select another. You do this for a total of 50 times and your results are: 6 times you picked the ace, 14 times you picked the 2, 13 times you picked the 3, 4 times you picked the 4, and 13 times you picked the 5. After looking at your results, what is the experimental probability of selecting the 4? Hint: You may have to reduce. *
Answer:
The experimenta probability of picking a 4 is [tex]\frac{4}{50}[/tex]
Step-by-step explanation:
To determine the experimental probability, we just need to divide the number of observations of the specific event by the total number of trials. In this case, we are interested in the event "picking a 4 card". This event happened 4 times. We have a total number of trials of 50. So , the experimental probability is
[tex]\frac{4}{50}[/tex]
what do you add to 2/9 to make it a whole
Answer:
7/9
Step-by-step explanation:
9/9 = 1 whole
2+7 = 9
Answer:
7/9
Step-by-step explanation:
1 Whole = 1/1
2/9 + 7/9 = 1/1
or
1/1 - 2/9 = 7/9
What is the volume of a cylinder with base radius 2 22 and height 9 99? Either enter an exact answer in terms of π πpi or use 3.14 3.143, point, 14 for π πpi and enter your answer as a decimal.
Answer: 44[tex]\pi[/tex]
Step-by-step explanation:
khan academy
The volume of a given cylinder is 113.04 cubic units.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, a cylinder with base radius 2 units and height units.
We know that, the volume of a cylinder is πr²h.
Now, volume = 3.14×2²×9
= 113.04 cubic units
Therefore, the volume of a given cylinder is 113.04 cubic units.
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A trail mix consist of 7 3/4 oz of sunflower seeds, 9 1/4 oz of raisins, 4 1/4 oz of walnuts, and 7 1/2 oz of soybeans. If the mix is split equally between eight hikers, how much would each one get?
Answer:
Each biker gets 3 19/32 of the mix.
Step-by-step explanation:
In the questions, we are told that a trail mix consist
7 3/4 oz of sunflower seeds,
9 1/4 oz of raisins
4 1/4 oz of walnuts
7 1/2 oz of soybeans
Step 1
Add up every element in the trail mix
We have are given mixed numbers which is made up of whole number and a proper fraction
7 3/4 oz + 9 1/4 oz + 4 1/4 oz + 7 1/2 oz
So we add up the whole numbers first
27 + ( 3/4 oz + 1/4 oz + 1/4 oz + 1/2 oz)
Next, We find the lowest common multiple of the denominators of the proper fractions which is 4
= 27 + ((3×1) + (1×1) + (1×1) +(1×2)/4)
27 + (3+1+1+2) / 4
27 + 7/4
27 + 1 3/4
27 + 1 + 3/4
Total mix = 28 3/4
Step 2
If the mix is split equally between eight hikers, how much would each one get?
We would convert 28 3/4 into an improper fraction and divide it by 8 bikers
115/4 ÷ 8
115/ 4 × 1/8
= 115/32
Turning it into a mixed fraction, we have:
3 19/32
Therefore, each biker gets 3 19/32 of the mix.
another one hhh i must know
Answer:
35 degrees.
Step-by-step explanation:
Angle DGC and AGB are vertical angles. Therefore AGB is 90 degrees.
180 - (90 + 55) = 35 degrees.
please help me find this equation :)
Which is the graph of x^2/9 + y^2/4 = 1
Answer:
Step-by-step explanation:
it is an ellipse.
The graph of the ellipse (x²/3²) + (y²/2²) = 1 is given in the image below.
What is an ellipse?An ellipse is a closed curve in a plane that is symmetric around two perpendicular lines known as the ellipse's axis.
The given equation is in the standard form of the equation of an ellipse centered at the origin with its major axis on the x-axis and its minor axis on the y-axis:
(x²/3²) + (y²/2²) = 1
The square of the semi-major axis (a) is 3² = 9, so the semi-major axis is a = 3.
The square of the semi-minor axis (b) is 2² = 4, so the semi-minor axis is b = 2.
Therefore, the characteristic of the given ellipse is:
a²- b² = 9 - 4 = 5
So the characteristic of the ellipse is 5.
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A new car has a sticker price of $25,550, while the invoice price paid on it was
$19,990. What is the percent amount of markup?
Answer: 27.81%
Step-by-step explanation:
what are 2 binomials that are factors of this trinomial? x^2-x-20
Answer:
(x-5) (x+4)
Step-by-step explanation:
x^2 -x -20
What two terms multiply to -20 and add to -1
-5*4 = -20
-5+4 = -1
(x-5) (x+4)
Answer:
[tex](x + 4)(x - 5)[/tex]
Step-by-step explanation:
[tex] {x}^{2} - x - 20 \\ {x}^{2} - 5x + 4x - 20 \\ x(x - 5) + 4(x - 5) \\ (x + 4)(x - 5)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
what is the length of a hypotenuse triangle with two 45 degree angles, one 90 degree angle, and two side lengths of 3 times the square root of 2?
Answer:
4.24
Step-by-step explanation:
remember a² + b² = c²
(3*(sqrt(2))² + (3*(sqrt(2))² = 18
this would be c²
square root of this is c = 4.2426...
You put $2000 into an account earning 4% interest compounded continuously. Find the amount in the account at the end of 8 years.
Answer:
You'll need the attached formula.
Total = Principal * e ^ (rate * years)
rate = .04
Total = 2,000 * 2.718281828 ^ (.04 * 8)
Total = 2,000 * 2.718281828 ^ (.32)
Total = 2,000 * 1.3771277643
Total = 2754.2555285231
Total = 2,754.26 (rounded)
Step-by-step explanation:
The amount in the account at the end of 8 years will be $2,737.12.
To understand the calculations, check below.
Compound interest:The compound interest amount is given as,
[tex]Amount=P*(1+\frac{r}{100} )^{n}[/tex]
Where P is principal , r is rate and n is times.
It is given that,
[tex]P=\$2,000, r=4\%, t=8 years[/tex]
[tex]Amount=2,000*(1+\frac{4}{100} )^{8}\\\\Amount=2000*(\frac{104}{100} )^{8} \\\\Amount=\$ 2,737.12[/tex]
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What’s - 46.15 as a mixed number
Answer: -46 15/100
Explanation: (see pic attached)
Answer:
46 3/20
Step-by-step explanation:
Rewrite the decimal number as a fraction with 1 in the denominator
46.15=46.15/1
Multiply to remove 2 decimal places. Here, you multiply top and bottom by 10^2 = 100
46.15/1 x 100/100= 4615/100
Find the Greatest Common Factor (GCF) of 4615 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 5
4615/100 divided by 5/5= 923/20
Simplify the improper fraction
46 3/20
In conclusion
46.15= 46 3/20
I hope that helped ;)
what is the area of a circle with radius of 7cm using 3.14 for pi and round to he nearest tenth plz hurry
Answer:153.9 cm
Step-by-step explanation:
The area of a circle is found by pi × radius squared and pi is aprox 3.14 so 3.15×7² = 153.86 then round off to the nearest tenth you get 153.9
Chen bikes 212 miles in 512 hour. What is Chen’s unit rate in miles per hour
Answer:
Unit rate = 0.414 mph
Step-by-step explanation:
Distance travelled = 212 miles
Time taken = 512 hours
[tex]Unit \: rate = \frac{distance \: travelled}{time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{212}{512} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.414 \: mph (miles \: per \: hour)[/tex]
Answer:
53/128 mph
Step-by-step explanation:
Unit rate is essentially just asking for the number of miles Chen can bike in only 1 hour. That's what "unit" means - 1.
Here, we know that Chen can bike 212 miles in 512 hours, so let's set up a proportion:
[tex]\frac{212mi}{512hr} =\frac{x}{1hr}[/tex] , where x is the number of miles Chen can bike in 1 hour
Cross multiply:
512x = 212
Divide by 512:
x = 212 / 512 = 53/128 miles
So, Chen's unit rate is 53/128 mph.
If one person makes 18 dollars in 2 hours and the other makes 36 dollars in 3 hours who makes more money per hour??
Answer:
the second person because they make 12 an hour and the first person only makes 9 an hour
Step-by-step explanation:
write an expression that shows 7 times the quantity of 52 more than 6
Answer:
7·52≥6 dont do the line under the more than sign i couldnt find the symbol without the line and the dot means multiplying PLEASE MARK THE BRAINLIEST
Expressions can be represented as equations or inequalities or neither.
The required expression is: 7 * 52 - 6
7 times the quantity of 52 means 7 * 52
More than 6 means we subtract 6 from 7 * 52
So, we have:
7 * 52 - 6
Hence, the expression that shows 7 times the quantity of 52 more than 6 is: 7 * 52 - 6
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70 = -7 k solve the equations
Answer:
-10
Step-by-step explanation:
70= -7k
70 -7k
-- --
-7 -7
-10=k
Have a great day
Answer:
k= -10
Step-by-step explanation:
70= -7k
Divide both sides by -7
-7k/-7 = 70/7
Simplify
k=-10
shop sells pencils in packs and in boxes. There are 4 pencils in a pack and 12 pencils in a box. Lola buys d packs of pencils. (a) Write down an expression, in terms of d, for the number of pencils Lola buys. (1) Rory buys x packs of pencils and y boxes of pencils. (b) Write down an expression, in terms of x and y, for the total number of pencils Rory buys.
Answer:
(a) 4d
(b) 4x+12y
Step-by-step explanation:
If there are 4 pencils in a pack and she buys d packs, the amount of pencils she gets is 4*d, or 4d. The same principle goes for (b). Hope this helps!