Answer:
The interest generated the first year will be 10% of the principal value, while the second year said interest will be 10.25%.
Step-by-step explanation:
Given that a person deposits Rs 55000 in Bank P for 2 years at the rate of 10% per annum compounded annually, but after one year, bank has changed the policy and decided to pay semi annual compounded interest at the same rate, to determine what is the percentage difference between the compound interests of the first year and second year, the following calculation must be performed:
Year 1 =
55,000 x (1 + 0.1 / 1) ^ 1x1 = X
55,000 x 1.1 = X
60,500
Year 2 =
60,500 x (1 + 0.1 / 2) ^ 1x2 = X
60,500 x 1.05 ^ 2 = X
66,701.25 = X
55,000 = 100
60,500 = X
60,500 x 100 / 55,000 = X
110 = X
60,500 = 100
66,701.25 = X
66,701.25 x 100 / 60,500 = X
110.25 = X
Therefore, the interest generated the first year will be 10% of the principal value, while the second year said interest will be 10.25%.
Write each rational numbers as a decimal rounded to 4 decimal places.
43/10 = and 4 15/18 =
Answer:
Step-by-step explanation:
3
Emma buys two bus tickets to Bradford. She pays with a £10 note. How much change will she get?
Hello there I hop you are having a good day :)
So, if she brought 2 tickets an they cost £4.00 you would add £4.00 + £4.00 = £8.00 and then you would take that away from the £10.00 - £8.00 = £2.00 so Emma would get £2.00 change :) hopefully that helps you.
does the following data show direct variation.
Brendan has $200 in a savings account with a 1% interest rate. Using the formula for simple interest, how much will he earn in interest after 7 years?
Answer:
$14
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 200(.01)(7)
I = 14
Robert spun the fair spinner shown below 1,060 times,
About how many times would Robert expect to spin a 1, 3, or 8?
Answer:
About 400 times
Step-by-step explanation:
Given
[tex]n = 1060[/tex]
See attachment for spinner
Required
Determine the number of times an outcome of 1, 3 or 8 is expected
First, calculate the theoretical probability of 1, 3, or 8
This is calculated as:
[tex]Pr = P(1) + P(3) + P(8)[/tex]
The spinner is divided into 8 equal segments and each outcome appears once.
So, we have:
[tex]Pr = \frac{1}{8}+\frac{1}{8}+\frac{1}{8}[/tex]
Take LCM and add
[tex]Pr = \frac{1+1+1}{8}[/tex]
[tex]Pr = \frac{3}{8}[/tex]
So, the expected number of times (E) is:
[tex]E = Pr * n[/tex]
[tex]E = \frac{3}{8} * 1060[/tex]
[tex]E = \frac{3* 1060}{8}[/tex]
[tex]E = \frac{3180}{8}[/tex]
[tex]E = 397.5[/tex]
Approximate
[tex]E = 398[/tex]
This means about 400 times
Ms. Dodd buys 6 coffees for the teachers for a total of $19.50. Write an equation that can be used to find the cost of one coffee, c.
Answer:
19.50/6=c c=3.25
Step-by-step explanation:
In this case C=3.25
Answer:
19.50÷6= c
Step-by-step explanation:
19.50÷6 =c
divide to find how much 1 cup of coffee is
Given a bag of marbles 3 are red, 5 are black, and 8 are green, what is the
probability that the you do not pull out a red marble?
Answer:
13/15
86.67%
Step-by-step explanation:
non red marbles = 13
total marbles = 15
13/15 = 0.866667
86.67%
What’s the answers to 13 and 14
Answer:
13: 59
14: 118
Step-by-step explanation:
These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two yellow
marbles if the first one is NOT placed back into
the bag before the second draw?
Give your answer as a rational number, reduced to
simplest terms.
1
[ ?
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
Answer: 1/45
Step-by-step explanation:
If a vertical angle has 74 degree and also opposite angle is 2x degree ,what is value of x?
Answer:
x = 37
Step-by-step explanation:
Well if you didn't know vertical angles are congruent ( or equal to each other )
Which means that 74 = 2x
If we want to find the value of x, then we need to get rid of the "2" on 2x
To do so we can divide each side by 2
74 / 2 = 37
2x / 2 = x
we would be left with x = 37
HELP!!
What is the lateral and surface area of this triangle?
Please answer number 5 I’ll give brainliest thanks
Answer:
Hello! answer: C
Hope that helps!
Answer:
b
Step-by-step explanation:
Experimental - 5 choices, 1 is Q = 1/5
Theoretical - 5 choices, landed on Q 4 times =4/5
graph your linear equation. y=x÷3
what is 20% off £49.90
Answer:
£9.98
Step-by-step explanation:
Answer:
£39.92
Step-by-step explanation:
Step 1: Find 20% of 49.90 = 9.98
Convert 20% into a decimal[tex]20\%\:=\frac{20}{100}[/tex][tex]=0.2[/tex]Multiply 0.2 to 49.90[tex]=0.2\cdot \:49.9[/tex][tex]=9.98[/tex]Step 2: Now subtract the result from the original price
[tex]49.90 - 9.98[/tex]
[tex]=39.92[/tex]
£39.92 is 20% off £49.90
sin(A) =
cos(A) =
tan(A) =
m
Step-by-step explanation:
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did you u know that
that ans is i don't khow
Alondra studies 7 hours this week for end-of-year exams. He spends 1 hour on English and an equal number of hours each on math, science and history.
Write an equation and find the solution.
Step-by-step explanation: 5 19 7 36
Alondra studies 7 hours this week for end-of-year exams. He spends 1 hour on English and an equal number of hours each on math, science and history.
Write an equation and find the solution
Total hours = english hours + ( math + science + history ) hours
Total hours = english hours + other subjects hours
7 hours = 1 hours + 3( x ) hours solve for x
(7 - 1) hours = (1 - 1) hours + 3x hours
6 hours / 3 = 3x / 3 hours
2 hours = x hours
Mya has 78 pounds of bird food she put an equal portion on the phone birdfeeders how much bird food in pounds does she put in each birdfeeder
answer:
7/32 or 0.2 lbs
step-by-step explanation:
given:
mya has 7/8 pound of bird food. she puts an equal portion into 4 bird feeders. how much bird food, in pounds, does she put in each bird feeder?
solution:
let us assume that, she put x pounds in each bird feeder.
(pound in each feeder) * the total number of feeders = total food.
filling in the missing variables-
x * 4 = (7/8)
x = (7/8) ÷ 4
x = (7/8) * (1/4)
x = (7/32)lbs
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
Problem: 2=414x - 4+18
Step 1:-16 = 4.14x-4
Step 2: 4 = 4x-4
Step 3: 16 = 41-4
Step 4: 20= 4x
Y = 5
Analyze her work. Did she make a mistake, and if so where?
Answer:
2=414x-4+18
2=414x+14
2-14=414x
-12=414x
-12/414=x
Step-by-step explanation:
What is 3 fifth of 100
60 I think?
I may be wrong-
Answer:
60
Step-by-step explanation:
Use the information for the question below.
Project A Project B Time 0 -$10,000 -$10,000 Time 1 $5,000 $4,000 Time 2 $4,000 $3,000 Time 3 $3,000 $10,000
If WiseGuy Inc. uses payback period rule to choose projects, which of the projects (Project A or Project B) will WiseGuy Inc. prefer?
a. Project A and Project B have the same ranking,
b. Project A
c. Cannot calculate a payback period without a discount rate.
d. Project B
Answer:
The correct option is d. Project B.
Step-by-step explanation:
Note: See the attached excel file for the calculation of the Cumulative Cash Flows of Projects A and B.
Payback period refers to the number of time or period that is needed to recoup the amount of money spent a project. The
payback period rule states that when considering two or more projects, a project with the shortest payback period should be selected.
Payback period can be calculated as follows:
Payback period = Time before full recovery + (Unrecovered cost at start of the time of full recovery / Cash flow during the time of full recovery) ………………. (1)
Using the information in the excel file (in red color), equation (1) can be calculated for Project A and Project B as follows:
Project A payback period = 2 + ($1,000 / $3,000) = 2.33
Project B payback period = 2 + ($3,000 / $10,000) = 2.30
Since the payback period of Project B payback period which is 2.30 is lower than the Project A payback period of 2.33, Project B should be selected.
Therefore, the correct option is d. Project B.
Anna is making a banner out of 4 congruent triangles as shown below. How much blue trim will she need for each side
Answer:
The length of each blue trim is 17.2 inches
Step-by-step explanation:
Given
See attachment for banner
Required
The length of each blue trim
Since all 4 triangles are equal, then the dimension of 1 triangle is:
[tex]Side\ 1 = 10[/tex]
[tex]Side\ 2 = 14[/tex]
The hypotenuse (x) of the triangle blue trim is represented by the blue trim
So:
[tex]x^2 = Side\ 1^2 + Side\ 2^2[/tex]
This gives
[tex]x^2 = 10^2 + 14^2[/tex]
[tex]x^2 = 100 + 196[/tex]
[tex]x^2 = 296[/tex]
Take square root
[tex]x = \sqrt{296[/tex]
[tex]x = 17.2in[/tex]
guys help meeee im timed
56000009x434383985934863
Answer:
2.43255071E22
Rounding to the nearest tenth: 2.4
Nearest hundredth: 2.43
Step-by-step explanation:
Hope I helped! :)
Answer:
2.43255e16
Step-by-step explanation:
properties of trapezium
Answer:
The sum of its angles Is 360°(Like any quadrilateral)
Adjacent angles are Supplementary(Add to 180°)
The diagonals Bisect each other
The weights of cans of Ocean brand tuna are supposed to have a net weight of 6 ounces. The manufacturer tells you that the net weight is actually a Normal random variable with a mean of 6.03 ounces and a standard deviation of 0.22 ounces. Suppose that you draw a random sample of 40 cans.
Part i) Using the information about the distribution of the net weight given by the manufacturer, find the probability that the mean weight of the sample is less than 5.99 ounces. (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places. Use Rcmdr for this question.)
Probability (as a value to 3 decimal places between 0 and 1 inclusive) ______
Part ii) Use normal approximation to find the probability that more than 56% of the sampled cans are overweight, i.e. the net weight exceeds 6 ounces. (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places. Use Rcmdr for this question.)
Probability (as a value to 3 decimal places between 0 and 1 inclusive) _______
Answer:
Following are the solution to the given points:
Step-by-step explanation:
For point (i):
[tex]P(X < 5.99) = P(Z < (\frac{(5.99 - 6.03)}{\frac{0.22}{\sqrt{(40)}}})[/tex]
[tex]= P(Z < -1.15) \\\\= 0.125[/tex]
For point (ii):
[tex]P(X> 6) = P( Z > \frac{(6 - 6.03)}{(\frac{0.22}{\sqrt{(40)}})})[/tex]
[tex]= P(Z > -0.8624 ) \\\\ = 0.806\\\\\to n = 40 \\\\ \to p = 0.806\\\\\to 56\% = 0.56\times 40 = 22.4\\\\\to u = np = 40\times 0.806 = 32.24\\\\P(X > 22.4) = P(Z > \frac{(22.4 - 32.24)}{\sqrt{(40\times 0.806\\\times (1-0.806))}})[/tex]
[tex]= P(Z > -3.93 ) \\\\= 1[/tex]
what is the volume of the cube I'm confused (look at the picture to see)
Answer: D (64)
Step-by-step explanation:
My answer is correct because, it's showing that 4 is the length, width, and height. So it bassically 4 x 4 x 4 in other words 4 exponent 3. And 4 exponent 3 would equal 64.
Hope This Helps!
Five times the sum of 4 and some number is 40.
Answer:
5 × 4 = 20 not 40
Step-by-step explanation:
Solve the following equation. log(3x)=log(2x-4) *
log(3x) = log(2x-4)
taking antilog of both sides:
3x = 2x - 4
3x - 2x = -4 [subtracting 2x from both sides]
x = -4
and we're done already!
(2/7×8/4)+2/3÷(2/6×3/6+1/6)
Answer:
Answer attached
Step-by-step explanation:
Help me out it’s important thank youuuu
Answer:
120 000 centimeters
Step-by-step explanation:
Answer:
120,000 cm³
Step-by-step explanation:
Given :-
A block of hay with dimensions 100 cm × 40 cm × 30cm is given .And we need to find the volume of the hay . The hay is in the form of cuboid .We know that the volume of a cuboid is ,
[tex]:\implies[/tex] Volume = l × b × h
[tex]:\implies[/tex] Volume = 100cm*40cm*30cm
[tex]:\implies[/tex] Volume = 1,20,000 cm³
Hence the correct option is B .