The total amount of return will be 5611.8573. The principal amount is compounded annually.
What is compound interest?Compound interest is computed on a loan or deposit based on the starting principle and the preceding period's accrued interest.
The given data;
P(PRINCIPAL)=5300
r(rate)=2.9%
n=1
t(time)=2
The total amount of return is found as;
[tex]\rm A= 5300 (1+\frac{29}{100} )^2 \\\\ A=5611.8573[/tex]
Hence,the total amount of return will be 5611.8573.
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look at the image and please help
Match the numbers with the correct label.
Answer:
a = 1/7b = 0.2c = 3/9Step-by-step explanation:
Converting all fractions to decimal (for easier comparison) :
0.21/7 = 0.143/9 = 0.33Hence,
First point (a) = 1/7Second point (b) = 0.2Third point (c) = 3/9Workers Inc. just bought 15 boxes of pens to put in their storage room for employees to use as needed. Each box contains 40 pens. If each of the 26 employees working for Workers Inc. takes 4 pens when they are first brought into the office, how many pens
will be left in the storage room?
A. 230
B. 596
C. 574
D. 496
Answer:
D. 496
Step-by-step explanation:
Start by finding original number of pens:
15 boxes x 40 pens per box = 600 pens in all
find number of pens taken:
26 workers x 4 pens each = 104 pens taken
Find number of pens left:
600 original - 104 taken = 496 left
Answer: D. 496
Answer:
D
Step-by-step explanation:
15x40=600
26x4=104
600-104=496
verify the identity algebraically. Start on one side of the equation and manipulate using techniques to arrive at the other side
sin^2 − sin^4 = cos^2 − cos^4
Answer:
Step-by-step explanation:
sin^2 − sin^4 = cos^2 − cos^4
sin^2 (1-sin^2) = cos^2 − cos^4
sin^2 (cos^2) = cos^2 − cos^4
(1-cos^2) (cos^2) = cos^2 − cos^4
cos^2 − cos^4 = cos^2 − cos^4
Which is True :33 Send love
Which expression best represents the areas of this square with sides in the photo below?
Answer: 9x⁴y⁶
Step-by-step explanation:
[tex](3x^{2}y^{3})(3x^{2}y^{3}) = 9x^{4}y^{6}[/tex]
Basically, when multiplied, integers multiply, and exponents add.Is the triangle proved similar?
The angle of depression of the top and the foot of a flagpole as seen from the top of a building 145 metres away are 26° and 34° respectively. Find the heights of the pole and the building.
The height of the pole and the building are 27.1 meters and 97.8 meters respectively.
How to find the height of the pole and the building?The situation forms a right angle triangle. The height of the building can be found using trigonometric ratios,
Therefore,
tan 34 = opposite / adjacent
tan 34 = h / 145
h = 145 tan 34
h = 145 × 0.67450851684
h = 97.8037349422
Therefore,
height of the building = 97.8 meters
tan 26 = x / 145
x = 145 tan 26
x = 70.721225342 meters
Therefore,
height of the flagpole = 97.8 - 70.7 = 27.1 meters
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What is the equation of the line?
Answer:
y=1/2x+2
Step-by-step explanation:
I found this out just by looking at the line
Find the domain in the following
Y=2x+5
Answer
All real numbers or (-∞, ∞)
Step-by-step explanation:
There aren't any X values that can make this linear equation output an invalid results, so we can deduce that the domain is all x values.
Answer:
All Real Numbers
Step-by-step explanation:
The Domain for a function simply is all the possible x values.
When graphing this function, you'll realize that it's continuous and passes all x values.
Additionally, when looking at it, you'll realize you can input any number of your choosing.
When trying to evaluate the domain of other functions, you can look at if any values of x will create an undefined value.
For example, some functions may have x in the denominator, and since the denominator can not be 0, there will be a discontinuity.
Other examples where the domain wouldn't be all real numbers would be if x was under a square root and couldn't be negative, or if the function was a vertical line.
Hope that helps, please let me know if you have any queries.
Write .0043 as a percentage
Answer:
0.43%
Step-by-step explanation:
In order to change a decimal to a percentage, you multiply it by 100. You can also move the decimal point to the right two times. By doing so, you get 0.43%. Someone tell me if I did it wrong please.
A borrower has been approved for a loan of $5,000 at 8% interest. The loan will be repaid in nine months. What amount will be repaid at that time?
Answer:
Just multiply 5000 * 0.08, which equals 400.
400 + 5000 = 5400
The borrower will repay $5400 at the end of nine months.
Step-by-step explanation:
10.4 sides polygon with 2 sides of parallel sides. What type of polygon is it?
Answer:
Here is the answer:
Step-by-step explanation:
An isosceles trapezoid is a trapezoid whose non-parallel sides are congruent. A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.
Molly gives 3% of her paycheck to a charity. If she makes $350 per week, how much goes to the charity?
Answer:
$10.50
trust me
answer:
342$
Step-by-step explanation:
Think about it........................ 77 + 33 =100
Please help me guys
a) If 2 Tan a = 3 Tan B, then show that Tan (a-B) =5 sin2b/5Cos 2B-1
Given that :-
2 tan A = 3 tan BProve that :-
Tan (a-B) = [ sin 2B/(5 – cos 2B)]Taking RHS :-
= sin 2B/(5 – cos 2B)] = [(2 tan B)/(1 + tan2B)]/ [5 – {(1 – tan2B)/(1 + tan2B)}]
= (2 tan B)/ [5(1 + tan2B) – 1 + tan2B]
= (2 tan B)/[5 + 5 tan2B – 1 + tan2B)
= (2 tan B)/(4 + 6 tan2B)
= (2 tan B)/[2(2 + 3 tan2B)]
= tan B/(2 + 3 tan B tan B)
Dividing the numerator and denominator by 2,
= [(1/2) tan B]/ [1 + (3/2) tan B tan B]
= [(3/2) tan B – tan B]/[1 + tan A tan B] {from (i)}
= (tan A – tan B)/(1 + tan A tan B)
= tan(A – B) = LHS
find the value of x. cos(67°) = 1/x
[tex]~~~~~\cos 67^{\circ} = \dfrac 1x\\\\\\\implies x = \dfrac 1{\cos 67^{\circ}}\\\\\\\implies x = 2.55[/tex]
Lillian and Mackenzie clean rooms at a hotel. Today, they cleaned the same number of rooms, but Mackenzie worked fewer hours. Tomorrow, their shifts are the same length. Who will likely clean more rooms?
Answer:Mackenzie
Step-by-step explanation:
Answer:
Step-by-step explanation:
Mackenzie
You spin the spinner once.
4
1
3
2
What is P (odd)?
Write your answer as a percentage.
4 total numbers, 2 are odd
probability of getting odd = 2/4 = 0.50 =50%
Answer: 50%
If Mrs. Hamm divides 7 pounds of potting soil equally into three flower pots, what is the weight of potting soil in one flower pot? A) 3 7 pound B) 7 3 pounds C) 3 1 7 pounds D) 7 1 3 pounds
The weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have total weight of the potting soil = 7 pounds
It is divided equally into three flower pots.
So each pot contains = 7/3 potting soil
Thus, the weight of potting soil in one flower pot is 7/3 pounds or 2.34 pounds option (B) is correct.
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I need to solve for X
Check the picture below.
NEED HELP PLEASE!!!!!!
Answer:
i wish i knew im in the same situwantion
Step-by-step explanation:
due to inflatation, the cost of harys hot wings grows by 4% every year. this year a dozen hot wings cost 5.99
part a. how much will a dozen hot wings cost next year
part b. how much will a dozen hot wings cost in 2 years
Answer:
Part A : $6.23
Part B : $6.48
Step-by-step explanation:
Let's apply the Simple Interest Formula, which is :
Simple Interest = Principal Amount x Interest rate x Time Period
In one year :
I = 5.99 x 4% x 1I = $0.24Cost = $5.99 + $0.24Cost = $6.23In 2 years :
I = $6.23 x 4% x 1I = $0.25Cost = $6.23 + $0.25Cost = $6.48what is the name of the first female mathematician?
Answer:
Hypatia was the first female mathmatican
Answer:
Hypatia, (born c. 355 ce—died March 415, Alexandria), mathematician, astronomer, and philosopher who lived in a very turbulent era in Alexandria's history. She is the earliest female mathematician of whose life and work reasonably detailed knowledge exists.
Step-by-step explanation:
please answer this question
[tex] \bold{\underline{\underline{\underbrace{Answer}}}} [/tex]
x = p and y = -q
Step-by-step explanation:
To findThe value of x and y
Givenpx + qy = p² - q²(equation 1)
qx - py = 2py
Solution{Taking equation 2}
[tex] \sf qx - py = 2py[/tex]
{Taking py on RHS}
[tex] \sf qx = 2py \ + py [/tex]
{Dividing both sides by q
[tex] \sf x = \frac{2pq}{q} + \frac{py}{q} \\ \\ \sf x = 2p + \frac{py}{q} (equation \: 3)[/tex]
{Now substituting the value of equation 3 in equation 1}
[tex] \sf p(2p + \frac{py}{q} ) + qy = {p}^{2} - {q}^{2} \\ \\ \sf 2 {p}^{2} + \frac{ {p}^{2}y }{q} + qy = {p}^{2} - {q}^{2} [/tex]
{Taking 2p² on RHS and taking LCM on LHS}
[tex] \sf \frac{ {p}^{2}y + {q}^{2} y }{q} = {p}^{2} - {q}^{2} - 2 {p}^{2} \\ \\ \sf \frac{y( {p}^{2} + {q}^{2} ) }{q} = - ( {p}^{2} + {q}^{2} )[/tex]
{Dividing (p² + q²) both sides}
[tex] \sf \frac{y}{q} = - 1 \\ \\ \red{ \boxed {\bold{y = - q}} }[/tex]
{Now using value of y in equation 3}
[tex] \sf x = 2p - \frac{pq}{q} \\ \\ \sf x = 2p - p \\ \\ \red{ \boxed{ \bold{ x = p}}}[/tex]
A group of friends were working on a student film that had a budget of $1200. They used 62% of their budget on props. How much money did they spend on props?
ANSWER ASSAP PLEASE
Answer:
helloo!!!!
first up first.... i love your profile pic....
oh and the answer is 744..
please read the explanation... it always helps!!
Step-by-step explanation:
alrighty..
so the total budget is 1200, and we want to know how much is 62% of that
so you follow the percent formula as follows:
1200/100= 12 --> 12 x 62= 744 (which is the answer!)
Need help thank you
Find the slope.
y= X/3 + 4
M= ?/?
Answer:
m=1/7
Step-by-step explanation:
The slope of y=x/3 + 4 is 1/7.
x/3+4 = x/7 so m = 1/7.
Answer:
m = 1/3
Step-by-step explanation:
The equation given is in slope-intercept form, which has the basic structure:
y = mx + b
In this equation, "m" is the slope and "b" is the y-intercept.
The value of "b" is 4.
The value of "m" is 1/3. This is because (x/3) is the same as (1/3 times x).
Help me solve this question
-2 1/3 - ( - 5) = ?
Answer:
2 2/3
Step-by-step explanation:
-2 1/3 - ( - 5)
We are subtracting a negative which is like adding
-2 1/3 + ( 5)
The signs are different so we subtract and take the sign of the larger
5 - 2 1/3
Borr from the 5
4 3/3 - 2 1/3
2 2/3
The sign of the larger was positive so the answer is positive
2 2/3
Translate the problem into a mathematical sentence, using c as your variable
name. Do not use spaces in your answer.
Tom bought 13 CDs in December. Of those, 5 were jazz, the rest were
classical music. How many classical music discs did he buy?
Answer here
SUBMIT
c=8
Step-by-step explanation:
13-5=c, c=8
Using the table below, what is the probability of selecting a girl or someone who likes Michigan?
Ohio State
Michigan
NC State
Total
Boys
56
14
20
90
Girls
50
22
38
110
Total
106
36
58
200
Using the table of values, the probability of selecting a girl that likes Michigan is 0.11
How to determine the probability?The table is given as:
Ohio State Michigan NC State Total
Boys 56 14 20 90
Girls 50 22 38 110
Total 106 36 58 200
In the above table, 22 girls out of the total sample size of 200 like Michigan.
This means that the required probability is:
P = 22/200
Evaluate the quotient
P = 0.11
Hence, the probability of selecting a girl that likes Michigan is 0.11
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what is the different between replacing the first card and not replacing the first card
Replacing the first card illustrates an independent event, while not replacing the card illustrates a dependent event
How to determine the difference?In probability, when a selected card or item is replaced before another item is selected, then the event is an independent event.
This is so because, the selected card do not have effect on the probability of selecting the next card
However, if the card is not replaced, then the event is dependent
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