Given:
Principal value = 4580
Rate of interest = 6% apr compounded weekly
To find:
The total amount after 2 years.
Solution:
The formula for amount is
[tex]A=P\left(1+\dfrac{r}{100n}\right)^{nt}[/tex]
Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.
1 year = 52 week
n=52
Putting P=4580, r=6, n=52, t=2 in the above formula, we get
[tex]A=4580\left(1+\dfrac{6}{100(52)}\right)^{52\times 2}[/tex]
[tex]A=4580\left(1+\dfrac{6}{5200}\right)^{104}[/tex]
[tex]A=4580\left(1+\dfrac{3}{2600}\right)^{104}[/tex]
[tex]A=4580\left(\dfrac{2603}{2600}\right)^{104}[/tex]
On further simplification, we get
[tex]A=4580(1.1274188)[/tex]
[tex]A=5163.5781[/tex]
[tex]A\approx 5163.58[/tex]
Therefore, the ending balance after 2 years is 5163.58.
32 + 24 = 55 ( + ) Write 32 + 23 as a product of the two factors using the GCF and the distributive property.
The right presentation of the question is:
(a) Write 32 + 24 as a product of the two factors using the GCF and the distributive property.
(b) Write 32 + 23 as a product of the two factors using the GCF and the distributive property.
Answer:
[tex](a)\ 32 + 24 = 8*7[/tex]
[tex](b)\ 32 + 23 = 5*11[/tex]
Step-by-step explanation:
Solving (a):
First, we take the GCF of 32 and 24
[tex]32 = 2 * 2 * 2 * 2 * 2[/tex]
[tex]24 = 2 * 2 * 2 * 3[/tex]
Take common factors:
[tex]GCF = 2 * 2 * 2[/tex]
[tex]GCF = 8[/tex]
So, we factorize 32 and 24 using 8.
The expression becomes:
[tex]32 + 24 = 8(4 + 3)[/tex]
Simplify the expression in bracket
[tex]32 + 24 = 8(7)[/tex]
Remove bracket
[tex]32 + 24 = 8*7[/tex]
--------------------------------------------------------------------------------------------------
Solving (b):
[tex]32 + 23 =[/tex]
32 and 23 do not have a common factor, so we have to start by writing 32 as 30 + 2
[tex]32 + 23 = 30 + 2 + 23[/tex]
Add 2 to 23
[tex]32 + 23 = 30 + 25[/tex]
Take the GCF of 30 and 25
[tex]30 = 2 * 3 * 5[/tex]
[tex]25 = 5 * 5[/tex]
Take common factors:
[tex]GCF = 5[/tex]
So, we factorize 30 and 25 using 5.
[tex]32 + 23 = 5(6 + 5)[/tex]
Simplify the expression in bracket
[tex]32 + 23 = 5(11)[/tex]
Remove bracket
[tex]32 + 23 = 5*11[/tex]
6 less than the product of 3 and a number
Answer:
(3n)- 6 or the other way around 6-(3n)
Step-by-step explanation:
The perimeter of a rectangular lawn is 80m. If the length had been 2m less and breadth
2m more, the lawn would have been a square. Find the dimensions of the lawn.
?
Answer:
The dimensions of the lawn are 22 m and 18 m
Step-by-step explanation:
Let us solve the question
Let the length of the rectangular lawn is x m and its breadth is y m
∵ The length of the lawn = x meters
∵ The breadth of the lawn = y meters
∵ Its perimeter = 80 meters
→ The formula of the perimeter is P = 2(length + breadth)
∴ 2(Length + breadth) = 80
→ Substitute the length by x and the breadth by y
∴ 2(x + y) = 80
→ Divide both sides by 2
∵ (x + y) = 40
∴ x + y = 40 ⇒ (1)
∵ The length had been 2 m less
∴ The new length = x - 2 meters
∵ breadth had been 2 m more
∴ The new breadth = y + 2 meters
∵ The lawn would have been a square
→ The square has equal sides, then equate the new length and breadth
∴ x - 2 = y + 2
→ Add 2 to both sides
∵ x - 2 + 2 = y + 2 + 2
∴ x = y + 4 ⇒ (2)
→ Substitute x in equation (1) by equation (2)
∵ y + 4 + y = 40
→ Add the like terms
∴ 2y + 4 = 40
→ Subtract 4 from both sides
∵ 2y + 4 - 4 = 40 - 4
∴ 2y = 36
→ Divide both sides by 2
∴ y = 18
→ Substitute y by 18 in equation (2) to find x
∵ x = 18 + 4
∴ x = 22
∴ The dimensions of the lawn are 22 m and 18 m
A box contains 5 chocolate chip cookies, 4 sugar and 6 oatmeal raisin. What is the probability of picking a chocolate chip cookie?
A) 1/9
B) 1/3
C)2/21
D) 2/3
Answer:
b
Step-by-step explanation:
the chocolate chip cookies are 5/15 and the equavilent is 1/3
I really need help asapppppp
Answer:
5 cups
Step-by-step explanation:
3.75 x 1 1/3
Answer:
5 cups!
Step-by-step explanation:
well, first start off with the whole numbers. then move onto fractions and add it up. they need common denominators!
Q1:A circle has an area of 64π square inches. Which best represents the circumference of the circle?
Q2:The circumference of a circle is 20π units. What is the area of the circle in terms ofπ ?
A projectile fired at 5 m/s from a gun. If the horizontal component of the initial velocity is equal to 4 m/s. What is the value of the vertical component?
Answer:
[tex]the \: value \: of \: the \: vertical \: component \to : \\ (v_v) = 3m {s}^{ - 1} \\ [/tex]
Step-by-step explanation:
[tex]let \: the \: velocity \: be \to \: v \\let \: the \: horizontal \: component \: be \to \: v_h \\ let \: the \: vertical \: component \: be \to \: v_v \\ applying \: the \: pythagorean \: rule \: of \: vectors \to : \\ {v}^{2} = {v_v}^{2} + {v_h}^{2} \\ {v_v}^{2} = {v}^{2} - {v_h}^{2} \\ {v_v}^{2} = {5}^{2} - {4}^{2} \\ v_v = \sqrt{(25 - 16)} \\ v_v = \sqrt{9} \\ \boxed{ v_v = 3 {ms}^{ - 1} }[/tex]
6,10,14,...
Find the 30th term.
Answer:
6,10,14,...
Find the 30th term.
18,22,26,30
Explanation:
+4 each time?
can someone help me with school
??? ??? I was also looking for the answer
Greg made $253 for 11 hours of work. At the same rate, how much would he make for 18 hours of work?
Answer:
$414
Step-by-step explanation:
Let's start by figuring out how much he earns per hour.
253/11=23
Greg earns $23 per hour. So if he worked for 18 hours, he would make $414.
Answer:
$414
Step-by-step explanation:
First, we have to find the unit rate, so our first equation is:
253 ÷ 11 = 23
So Greg gets $23 an hour
So for 18 hours our equation is:
23 x 18 = 414
So Greg would make $414 if he worked for 18 hours
1. In Kite ABCD below, point E is the midpoint of segment BD. What are the
coordinates of point D?"
O A. (22,4)
O B. (4,4)
O C. (-16,4)
O D. (4.16)
Answer:
The coordinates of point D( 4,4)
Step-by-step explanation:
Step(i):-
Given points are E(10,4) and B(16,4)
'E' is the mid-point of segment BD
Let D(x₁, y₁) be a point
E = midpoint of segment BD
[tex](10,4) = (\frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]
[tex]10 = \frac{x_{1} +16 }{2}[/tex]
20 = x₁ + 16
20-16 = x₁
x₁ =4
Step(ii):-
[tex]\frac{y_{1} +y_{2} }{2} = 4[/tex]
[tex]\frac{4 +y_{2} }{2} = 4[/tex]
4 + y₂ = 8
y₂ = 8-4 =4
The co-ordinates of point D( 4,4)
Express (x−4)^2 as a trinomial in standard form.
What's the name of the longest chord of a circle?
Question 17 options:
1)
Diameter
2)
Interior
3)
Radius
4)
Central angle
Annwer:
Diameter
Explanation:
A chord that passes through the of a circle is called a diameter and is the longest chord.
hehe:)
Answer:
Diameter
Step-by-step explanation:
what is the standard form of the equation y+6=2(x-3)
Answer:
Step-by-step explanation:
Y+6=2x-6
6+6=2x-y
12=2x-y
Hom0zygous means that the....
A. Hom0logous pairs are not the same on each chromosome
B. Alleles are different for that characteristic
C. Hom0logous pair has the same gene in each chromosome
D. None of these
Answer:
this right answer for this would be D
Answer:
D brainly won't let me explain..
Lamont Gatling purchased a phone answering system for his home office. The list price was $99.86. He also purchased a 12-foot handset cord for $8.95 and 50 feet telephone wire for 45¢ per foot. He received a $5.00 rebate on the phone system and had a store coupon for $1.00 off each accessory. If he paid a 6 percent sales tax on the final price, how much did he pay?
Answer:
$130.7086
Step-by-step explanation:
List price of phone answering system = $99.86
Handset cord = $8.95
Telephone wire = 45 cent/foot ; length = 50 feet
Rebate on phone system = $5
Store coupon =$1 of each accessory
Sales tax = 6% on final price
Price before coupon = (99.86 + 8.95 + (50*0.45)) =$131. 31
Number of accessories = 3
Total coupon = $5 + ($1 * 3) = $8
Price after coupon = final price : $131.31 - $8 = $123.31
Sales tax = 0.06 * $123.31 = $7.3986
Amount paid = $123.31 + $7.3986 = $130.7086
don't have any more points but I REALLY NEED THIS QUESTION DONE
I believe that the answer is 25.
Answer:
38
Step-by-step explanation:
Because ST is midsegment the half of DG
so' 19×2 = 38BRAINILIEST PLEASE
Suppose the commute times for employees of a large company follow a
normal distribution. If the mean time is 24 minutes and the standard
deviation is 5 minutes, 95% of the employees will have a travel time within
which range?
A. 9 minutes to 39 minutes
B. 19.25 minutes to 28.75 minutes
C. 14 minutes to 34 minutes
D. 19 minutes to 29 minutes
Answer:
C is the answer.
Step-by-step explanation:
i just got it right so that means you would too> let's goooo!!
The employees will have to travel within 19.25 minutes to 28.75 minutes.
What is Normal Distribution?'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'
According to the given problem,
Mean time = 24 minutes
Standard deviation = 5 minutes
Therefore,
⇒24 + 5 = 29
⇒24 - 5 = 19
Now,
(29 - 19) * 95% = 9.5
Hence, we can conclude that 95% of the employees will have to travel within 19.25 minutes to 28.75 minutes.
Learn more about normal distribution here:
https://brainly.in/question/8877034
#SPJ2
For each situation, determine the slope and y-intercept of the graph of the equation that describes the situation.
John gets a new job and receives a $500 signing bonus. After that, he makes $200 a day.
Answer:
slope=200
y-intercept=500
Step-by-step explanation:
Equation of straight line in slope intercept form is given as
[tex]y=mx+b[/tex]
here
slope=m=200/day
y-intercept=b=500
[tex]y=200x+500[/tex]
b) The distance between two places is 18 km. If the map scale is 1:400000, find the
distance between the places in centimetres drawn in the map.
Answer:
Map scale is 1:400000 => 1 cm on the map represents 400000 cm (4 km) on the ground.
So, 18 km on the ground is represented by 18/4 cm or 4.5 cm on the map.
Answer: 4.5 cm
Step-by-step explanation:
The clear and easiest way to deal with this problem is to convert all measurements to centimeters because that is the stated unit to be used. In SI, the metric prefixes can be written as exponents. The prefix kilo corresponds to 10^3 while the prefix centi corresponds to 10^-2 so 18 km = 18 x 10^3 m = 18 x 10^3 x 10^2 cm= 18 x 10^5 cm.
The number 18 x 10^5 cm is to be reduced to 400,000 times in the map and it means a process of division is to be performed. Dividing 18 x 10^5 cm by 400,000 gives a quotient of 4.5 cm.
This means that an actual distance of 18 km, on the map it just corresponds to 4.5 cm distance if the scale used is 1:400,000.
Geoff earns 10% commission on his total sales at work..To pay for a concert ticket, Geoff needs to earn $135 in commission. What must Geoff's sales total for the week?
Answer:
$1350
Step-by-step explanation:
Percentage commision earned = 10%
Amount needed to pay for concert = $135
Hence, total sales for the week must be :
Let total sales = x
10% of total sales = $135
10/ 100 * x = $135
0.1x = $135
x = $135 / 0.1
x = $1350
A bakery has 312 bagels left at the end of the day. The owners would like to divide them evenly to donate to 3 nearby food banks. How many bagels will EACH food bank receive?
Answer:
104 bagels
Step-by-step explanation:
My friends and I are sharing a candy bar. I got 1/4 of the candy bar, and my friend Abby got 1/4 of it. How much is left?
Answer: [tex]\dfrac12[/tex] of candy is left.
Step-by-step explanation:
Given: Fraction of candy bar I got = [tex]\dfrac14[/tex]
Fraction of candy bar friend got = [tex]\dfrac14[/tex]
Considering whole candy as 1.
Then, fraction of candy left = [tex]1-\dfrac14-\dfrac14[/tex]
[tex]=1-\dfrac24\\\\=1-\dfrac12\\\\=\dfrac12[/tex]
Hence, [tex]\dfrac12[/tex] of candy is left.
Answer:
Step-by-step explanation:
m
Kayla is baking cupcakes. She needs 2 3 4cups of white sugar and 1 5 6 cups of brown sugar. How much sugar is in Kayla's cupcakes?
Complete Question
Kayla is baking cupcakes. She needs 2 3/4cups of white sugar and 1 5/6 cups of brown sugar. How much sugar is in Kayla's cupcakes?
Answer:
4 5/12 Cups of sugar
Step-by-step explanation:
She needs 2 3/4cups of white sugar and 1 5/6 cups of brown sugar.
The amount of sugar is in Kayla's cupcakes is calculated as:
White sugar + Brown Sugar
= 2 3/4 cups + 1 5/6 cups
2+ 1 + [ 3/4 + 5/6]
Lowes Common Denominator = 12
3 + [9 +10/12]
3 + 19/12
3 + 1 5/12
= 4 5/12 Cups of sugar
Therefore, 4 5/12 Cups of sugar is in Kayla's cupcakes.
William got scores of
Answer: where is the rest of the question?
Step-by-step explanation:
48 as a fraction hhhhheeeellllllllloooo
2.9y=11.6 what does y equal?
Answer:
4
Step-by-step explanation:
The first reaction will be a reaction of the iodide ion (I-1) with hydrogen peroxide (H2O2) in an acidic solution. This reaction produces a slightly orange solution. In our experiment, we will add some orange food coloring to make this solution more orange.
2 H+ (aq) + 2 I- (aq) + H2O2 (aq) ⟶ I2 (aq) + 2 H2O (l)
The next reaction will be between the iodine and starch
I2 + starch ⟶ I2-starch complex (blue-black)
So, when starch is added to the iodine solution made from the first reaction, the solution will turn black immediately, so it is difficult to find the rate of reaction. In order to be able to time this reaction, you will slow it down with another reaction. Adding ascorbic acid will react with the iodine, reducing the concentration of the iodine available to react with the starch.
C6H8O6 (aq) + I2 (aq) ⟶ 2I- (aq) + C6H6O6 (aq) + 2 H+ (aq)
When the ascorbic acid is used up, the remaining iodine molecules can react with the starch and form the black color. The more ascorbic acid you add, the slower the reaction to form the iodine-starch complex will be.
1. What was your hypothesis?
2. Plot your data as drops of ascorbic acid vs. time.
3. As the concentration of ascorbic acid was increased, did the rate of the formation of the iodine-starch complex increase or decrease? Explain your answer in terms of the chemical reactions involved.
4. Was your hypothesis correct?
5. Make a general rule about the effects of concentration of reactants on reaction rates.
6. For practice, the molecular formula for ascorbic acid is C6H8O6, and you used 6 g in this experiment, calculate the molarity of the ascorbic acid. Now calculate the concentration in moles per drop (assume 1 mL = 20 drops).
Answer:
hello ! i just did this project and received a 100,, so here you are ::
1. I hypothesize that if you continue to add more drops, then the time it takes will continue to increase.
2. A; 9.70 secs, B; 14.63 secs, C; 18.78 secs, D; 28.70 secs, E; 31.45 secs.
3. The formation continued to increased. As more was added, the time it took to reach the full reaction was increased.
4. Yes.
5. When the concentration of all the reactants increases, more molecules or ions interact to form new compounds, and the rate of reaction increases. When the concentration of a reactant decreases, there are fewer of that molecule or ion present, and the rate of reaction decreases.
6. 6mL.
Step-by-step explanation:
for this one it was simple, they are only asking you what you think will happen to the time if they increase the number of drops. remember to use the "if....then..." format.i recorded the container labeled and the time it took for the solution to turn black. they are asking the same thing that they are for the hypothesis but this time after watching the video you know what actually happens. in this case, the more drops you put in the longer it takes for it to react. write this one down without the if then format.for mine, i got it correct but you can put yours wrong on purpose if youd like.i looked this one up, but it makes sense. this is correct, so dont worry.like i said,, i go this correct so dw ! <3
The rate of reaction depends on the slow step of a reaction.
A hypothesis is a tentative explanation of an observation. This question refers to an experiment so I will try to explain as much as possible. We can see that the rate of reaction is determined by the concentration of the ascorbic acid.
Hence, we can assert that, the more the concentration of the ascorbic acid, the lower the rate of reaction. The rate of reaction depends on the slow step of a reaction.
We know that the molar mass of ascorbic acid is 176 g/mol. The mass of ascorbic acid is 6 g. Hence;
Number of moles of ascorbic acid = 6 g/176 g/mol = 0.034 moles
concentration of ascorbic acid = 0.034 moles/20 × 1 × 10-3 = 1.7 M
Learn more about ascorbic acid: https://brainly.com/question/24809886
-2y + 6 = -12 lol how do i solve that again??
Answer:
y=9
Step-by-step explanation:
-2y + 6 = -12
-2y - 6 = -6
-2y = -18
-2/y= -18/-2
y= 9
You need to subtract six one both sides first, that will cancel out the positive six, and that will also give you this:
-2y = -18
Now, divide negative two on both sides, that will cancel out both the negative signs, and it will also cancel out the two and it will give you your final answer:
y = 9
Dominic makes some pizzas before opening his pizzeria each day. For every 3 cheese pizzas he makes, he makes 2 specialty pizzas. How many specialty pizzas will Dominic make if he makes 12 cheese pizzas?
Answer:
8 specialty pizzas
Step-by-step explanation:
the ratio is 3 cheese pizzas for every 2 specialty pizzas 3/2 so you multiply 2 times 12 (2 × 12= 24) and then divide the 24 by 3 (24 ÷ 3= 8)
