Given:
Amount = 8700
Time = 3 years
Rate of interest = 24% per annum
To find:
The principal values.
Solution:
Formula for amount:
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
Where, A is amount, P is principal, r is the rate of interest and t is the number of years.
Putting [tex]A=8700,r=24,t=3[/tex], we get
[tex]8700=P\left(1+\dfrac{24}{100}\right)^{3}[/tex]
[tex]8700=P\left(1+0.24\right)^{3}[/tex]
[tex]8700=P\left(1.24\right)^{3}[/tex]
[tex]8700=1.906624P[/tex]
Divide both sides by 1.906624.
[tex]\dfrac{8700}{1.906624}=P[/tex]
[tex]4563.0391729=P[/tex]
[tex]P\approx 4563.04[/tex]
Therefore, the principal value is about 4563.04.
Yolanda painted 2/5 of a wall in 40 minutes. If she keeps painting at the same rate, how much longer will it take her to finish painting the wall
Answer:
60 minutes
Step-by-step explanation:
She painted 2/5 of the wall.
She still needs to paint 3/5 of the wall.
3 is 50% more than 2, so 3/5 is 1.5 times 2/5, so it will take her 1.5 times the time it took so far.
1.5 * 40 minutes = 60 minutes.
Answer: 60 minutes
Help please question in picture
Answer:
10 units squared
Step-by-step explanation:
[tex]4(5)=20[/tex]
[tex]\frac{20}{2}=10[/tex]
I need the answer to
Answer:
I think its B
Hope this helps
32 ÷ 24 plese help me
Answer: 1.333
Step-by-step explanation:
Answer:
1.33
Step-by-step explanation:
nothing much to explain
Can Someone Please Help Me. ?
Answer: I think its A?
Step-by-step explanation:
4/12×1/8 in simplest form
Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
[tex]\frac{4}{12} *\frac{1}{8} =\frac{1}{24}[/tex]
3(6x-5)-7(3x+10)=0. solve for x
Answer:
x = -85/3
Step-by-step explanation:
The solution is, the value of x is - 33.33 in 3(6x-5)-7(3x+10)=0.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given expression is:
3(6x-5)-7(3x+10)=0
now, we have to simplify the expression to solve for x
we get,
3(6x-5)-7(3x+10)=0
or, 18x - 30 - 21x - 70 = 0
or, 18x - 21x -30 - 70 = 0
or, - 3x - 100 = 0
or, 3x = -100
or, x = -100/3
or, x = - 33.33
Hence, The solution is, the value of x is - 33.33 in 3(6x-5)-7(3x+10)=0.
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Can someone answer this.
Answer:
The first choice
Step-by-step explanation:
your most exciting day of school
Answer:
first day. yehahhhhhhhh
Answer:
School isn't exciting for me, lol.
Step-by-step explanation:
Calculate the balance for a $4,465 deposit in an account with an APR of 3.0% that compounds interest daily that is invested for 5 years?
Express your answer rounded correctly to the nearest cent. Do not include units on your answer.
help hurry
Compound interest formula:
Total = start value x ( 1 + rate/compound rate) ^( compound rate x time)
Total = 4,465(1 + .03/365)^(365x5)
Total = $5,187.56
The balance after 5 years will be $5177 and 10 cents.
How to calculate compound interest?
Compound interest is calculated by following formula:
[tex]A(1+\frac{r}{n})^{nt}[/tex]
Here:
A=principle amount=$4465
r=rate of interest/100=3/100=0.03
n=no. of days interest is applied=365 days
t=time period of interest=5 years
Putting all the values in the formula we get:
[tex]4465(1+0.03/365)^{365*5}=$5177.1[/tex]
Therefore, The amount at the end will be $5177 and 10 cents.
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Jackson has 180 pieces of gum. He wants to share the pieces equally with his friends. Which table shows the relationship between n, the number of people who received gum, and p the number of pieces of gum each person receives?
Answer:
Step-by-step explanation:
A cone has the same radius and height as a cylinder which has greater volume the cone or the cylinder
Answer:
The cylinder has the great volume
Step-by-step explanation:
The volume of a cone = (h/3)πr²
The volume of a cylinder = hπr²
The only difference is that h is divided by 3 for the volume of a cone, making the total volume of a cone smaller than the volume of a cylinder with the same radius and height.
HELP ME PLEASE
15 points and brainliest if right
Step-by-step explanation:
area of a rectangle bh
4x7=28
7x9=63
9x4=36
the only rectangle that has an area equal to 28 is the 4x7 which is the front face and back face.
Hope that helps :)
I need help on number 26
Answer:
The number of required shelves is 5
You have to find the HCF of 45, 105, and 75.
help please, i need it asap. thank you
Answer:
x = 5
Step-by-step explanation:
[tex]\frac{3}{x}[/tex] = [tex]\frac{4.5}{7.5}[/tex]
cross multiply
4.5x = 7.5(3)
4.5x = 22.5
Divide
x = 5
CAN U PLZ ANSWER THIS ITS FOR A TEST
Answer:
A. 300in^2
Step-by-step explanation:
Area=LWH
15*10*2=300
A bag contains 2 yellow, 12 red, and 6 green marbles. What is the probability of selecting 1 yellow marble, not replacing it, then selecting a green marble
Without replacement is very important
Determine the probability of having 2 girls and 3 boys in a 5-child family assuming boys and girls are equally likely.
The probability of having 2 girls and 3 boys in a 5-child family is 5/16
What is Probability ?Probability is the likeliness of an event to happen .
Total Probability of having 5 kids as boy or girl is 2⁵ = 32
The probability that there is 3 boys in the 5 children and remaining two are girls
[tex]\rm ^5C_3[/tex]
= (5*4*3*2*1)/(2*1)(3.2.1)
= 10 ways
probability of having 2 girls and 3 boys in a 5-child family is
=10/32
= 5/16
Therefore , the probability of having 2 girls and 3 boys in a 5-child family is 5/16
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The side adjacent to ∠W is …
Question 1 options:
side 34
side WU
side 90
side VW
The side adjacent to ∠W is side WU.
9514 1404 393
Answer:
(b) side WU
Step-by-step explanation:
With respect to any given acute angle in a right triangle, the sides of the triangle are called "adjacent", "opposite", or "hypotenuse".
The two sides that form angle W are WU and WV. Side WV is the longest, opposite the right angle, so it is the hypotenuse. Side WU is "adjacent" to angle W, and side UV is "opposite" angle W.
(It can help to note that the name of the opposite side UV does not contain the letter of the angle W. The name of the adjacent side WU does contain the letter of the angle.)
hey guys i got one more- 8 mi.=_yd. Thanks!!!(PLEASE ANWER FAST!!)
Answer:
if mi stands for miles then 8 miles = 14080 yards
Step-by-step explanation:
8 x 1760
Answer:
14080
Step-by-step explanation:
8 * 1760 = 14080
Can someone tell me how to do this and give me the answer please
Answer:
C. 94 Supplementary angles
Step-by-step explanation:
solve the equation on the interval [0,2}. 5 cos x - root 3 = 3 cos x
Answer:
Step-by-step explanation:
5 cos x-√3=3 cos x
5 cos x-3 cos x=√3
2 cos x=√3
cos x=√3/2=cos π/6,cos (2π-π/6)
x=π/6,11π/6
Answer:x=π/6,11π/6
Step-by-step explanation:
5 cos x-√3=3 cos x
5 cos x-3 cos x=√3
2 cos x=√3
cos x=√3/2=cos π/6,cos (2π-π/6)
x=π/6,11π/6
you roll a number cube numbered from 1 to 6. What id the probability that the number is a 3
Answer:
1 / 6
Step-by-step explanation:
S = { 1, 2, 3, 4, 5, 6 }
n ( S ) = 6
Let A be the event of getting the number " 3 ".
A = { 3 }
n ( A ) = 1
P ( A ) = n ( A ) / n ( S )
P ( A ) = 1 / 6
Therefore,
the probability that the number 3 is 1 / 6.
a2 + b ÷ 3= helpppppppp mmmmmeeeeeeeee! pls
Answer: 2a/3 + b/3
Since it has two different variables, there is no final answer. To find the answer, you must first expand the equation and then apply the fraction rule.
A football stadium holds 5000 people.
On a match day 5 of the stadium is full.
40% of the children are girls.
The ratio of adults to children is 2 : 3
How many of the children attending are boys?
Answer:
720 boysss
Step-by-step explanation:
Yep thts the answerrr...
13. Reasoning In 2016, the world's oldest
tree was 5,066 years old. Write the
number that is one hundred more using
number names?
Answer:
five thousand, one hundred and sixty six years old.
Step-by-step explanation:
Solve the equation 6 = p -8
Answer:
p = 14
Step-by-step explanation:
6 = p - 8
We want to isolate p, so add 8 to both sides.
6 + 8 = p
Add.
14 = p
Hope this helps!
Answer is: P = 14
Switch up the numbers.
6 = p - 8 → 6 + 8 = P
Solve for P.
6 + 8 = 14
Hence, 14 is the answer.
Consider the diagram.
Triangles M N P and A B C are connect between points B and M. Angles P N M and A B C are congruent. Sides P N and B C are congruent. Line segments A M and B N are congruent.
The congruence theorem that can be used to prove △MNP ≅ △ABC is
SSS.
ASA.
SAS.
AAS.
SAS, I guess (side angle side)
Step-by-step explanation:
Since AM=BC then AM+MB=MB+BN.
Therefore, AB=MN. So, the two triangle have one congruent angle, and the sides adjacent to it are congruent as well. Those triangle are thus congruent
Answer:
B. SAS (Side Angle Side)
Step-by-step explanation:
its right on E2020
Pls help ASAP. Pls and thx.
Answer:
(assuming the. values are the shaded areas)
area = x^2 + 2x +2
perimeter = 4x + 8
Step-by-step explanation:
you have all the side except the side of the 2 squares at the top.
The squares are 1 unit on each side because the area of the 2 slender rectangles on each side is x.
So the area is x^2 + x + x + 1 + 1
The perimeter is 1+x+1+1+1+x+1+1+1+x+1+x
(starting from the lower left side and walking around the perimeter clockwise)
The Northwood Clock Tower measures 193 meters tall. Dante is creating a scale model of this building using the scale 75 meters : 1 meter.
To the nearest tenth of a meter, what will be the height of the scale model?
Step-by-step explanation:
Height of real/height of scale=ratio of scale
193/x=75/1
x=2.6
Hope that helps :)