Given:
Principal = $400
Rate of interest = 6% compounded monthly
Time = 5 years.
To find:
The amount in the bank after 5 years.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.
Interest compounded monthly. So, [tex]n=12[/tex].
Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get
[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]
[tex]A=400\left(1+0.005 \right)^{60}[/tex]
[tex]A=400\left(1.005 \right)^{60}[/tex]
[tex]A\approx 539.54[/tex]
Therefore, the amount of money in the bank after 5 years is $539.54.
If the slowest time and the fastest time are removed from the data, how does the new mean compare to the mean of the original data set?
A. The mean would not be comparable as the data sets are different.
B.The mean would increase as there is less variability in the data.
C. The mean would decrease as there is less variability in the data .
D.The mean would not change as the lowest and greatest values were removed .
Please help hurry
Answer:
A or C Sorry!
Step-by-step explanation:
PLS USE the information given! DONT GUESS!
Write the equation of the circle.
A: (x+3)2+(y−6)2= 2
B: (x−3)2+(y+6)2= 2
C: (x+3)2+(y−6)2= 4
D: (x−3)2+(y+6)2= 4
Answer:
C. (x + 3)² + (y - 6)² = 4Step-by-step explanation:
Get the center and radius from the graph.
Center is: (-3, 6)Radius is: 2Use the circle formula:
(x - h)² + (y - k)² = r²We have:
h = -3, k = 6, r = 2Substitute and get the equation:
(x - (-3))² + (y - 6)² = 2² ⇒(x + 3)² + (y - 6)² = 4Correct choice is C
what fraction is equal to 3 1/4
Answer:
13/4
Step-by-step explanation:
(b) Write down an equation of a line that is parallel to y =2 – 3x
Answer:
4-6x=y2
Step-by-step explanation:
Help me I’m lost I’ve been stuck on this the pas 20 min anyone help
Answer:
I'm sorry but I can't see it lol.. maybe try taking a clear pic ya know.
Convert 0,0909 to a ratio of two integers
Answer:
not sure
Step-by-step explanation:
Drag tiles to describe each fraction Tiles may be used once, more than once, or not at all.
Answer:
1/3 is less than 2/3
7/9 is greater than 2/3
4/10 is less than 2/3
4/6 is equal to 2/3
Part A: Xavier needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items. Choose the correctly written inequality to represent the number of cans, c, that Xavier must still collect (before solving)
A 64 + c ≥ 120
B 64 + c < 120
C c - 120 ≤ 64
Answer:
A
Step-by-step explanation:
He needs to collect at least 120 so if c is what he must still collect
64 +c must be greater than or equal to 120
a positive number of two digits the ten place exced.the unit place digit by 5 .if the producted digit is 46. find the number
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
besties i need help on this question
PLEASE HELP!!! TIMED <33 WILL GIVE BRAINLIST. Evaluate the function requested. Write your answer as a fraction in lowest terms. Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 45, side C B is 36, side C A is 27. Find sin A. a. Sine A = four-fifths c. sine A = five-fourths b. sine A = four-thirds d. sine A = three-fifths
Answer:
sin A = perpendicular /hypotenuse
=36/27=12/9=4/3
Answer:
Its C.
Step-by-step explanation:
HURRY!!
The sequences are:
Number of moves: 1, 3, 7, 15, 31, 63, ...
2":2, 4, 8, 16, 32, 64, ...
Compare the two sequences. What is the pattern?
How could you find the minimum number of moves
required for a given number of disks?
The minimum number of moves required for a given number of disks.
We have given that,
The sequences are number of moves 1, 3, 7, 15, 31, 63,
2,2, 4, 8, 16, 32, 64,
Compare the two sequences.
Each term in the sequence of moves is 1 less than the corresponding term in the sequence of differences.
What is the sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.
You can find any term in the sequence of moves using the formula
[tex]a_1=2^n-1[/tex]
No one cares about the explanation good luck with your grade Bois.
The minimum number of moves required for a given number of disks.
To learn more about the sequence visit:
https://brainly.com/question/6561461
#SPJ2
Answer:
Each term in the sequence of moves is 1
less than the corresponding term in the
sequence of differences.
You can find any term in the sequence of
moves using the formula
Step-by-step explanation:
Which to expressions are equivalent to 3.2 (4p + 8.5)?
3.2 (Ap) + 3.2(8.5)
7.2p+8.5
12.8p+ 27.2
15.7p
40p
Answer:
A and C
Step-by-step explanation:
A is equivalent to the expression because it just expanded the equation more a bit. It's distributed, but not solved. Like 3.2 (4p +8.5) is the same as 3.2 (4p) + 3.2 (8.5) since in both 3.2 is being distributed or multiplied by both numbers.
C is equivalent to the expression because it simplified the expression more. 3.2 times 4p is 12.8p. 3.2 times 8.5 is 27.2. The expression cannot be simplified.
Hope I helped! :)
(4th grade math)
Please help.
Answer:
i
Step-by-step explanation:
Answer:
last one under H
Step-by-step explanation:
you want to look at which table says +27 under the value tab since that is what the question is looking for. the table under option H has those requirements so pick that one
Alisha received a fruit basket as a thank you gift and it had 18 tangerines, 4 pears, 2 plums, 6 bananas, and 3 peaches. Write the ratio of tangerines to pears and bananas in simplest form.
Answer:
9:14
Step-by-step explanation:
18:(18+4+6)
18:28
(18÷2);(28÷2)
9:14
PLS HELP! TELL ME HOW TO DO IT!
help help
Prove the following:
[tex] \sf\frac{ \tan( \theta) }{1 - \cot( \theta) } + \frac{ \cot( \theta) }{ 1 - \tan( \theta) } = \sec( \theta) \cdot \: \csc( \theta) + 1[/tex]
[tex]\text{note: explanation is obvious}[/tex]
Answer:
the pictures are attachedplease see the explanation in the attached pictureAnswer:
note:[tex]\theta =y[/tex]
Your answer is in the attachment.
we have
siny(cosy-siny)
taking - common from this
-siny(-cosy+siny)
-sin y(siny-cosy)
Salma paid a total of $42 for 7 frozen meals. She had a coupon for $6 off the regular price of each meal. Each meal had the same regular price. What was the regular price of each meal
Answer:
$12
Step-by-step explanation:
42 divided by 7 is 6 so you just add the 6 that was originally subtracted die to the discount and you get 12.
Jaden's batting average is .214. Raul hits 24.3% of his pitches. Abraham hit 2 out of the 9 balls he was pitched. Mark hit 22% of the balls he was pitched. Who has the greatest batting average? Who has the least batting average?
Answer:
Raul has greatest batting average. Jaden has least batting average.Step-by-step explanation:
Convert all the batting averages to a single unit so that comparison is easier.
Use percentages.
Jaden batting average:
= 0.214 = 214/1,000 = 21.4%
Raul = 24.3%
Abraham:
= 2 / 9 * 100%
= 22.2%
Mark = 22%
Raul has the greatest batting average.
Jaden has the least batting average.
Find the unknown length x in the right triangle, to the nearest tenth.
D
26
F
Х
55
E
What is the length for x
Mr. Linx and Mrs. Lynn both work for the same company, but they do not have the the same hourly wages. Together they make $32.50 per hour. This week, Mr. Linx (x) worked 35 hours, and Mrs. Lynn (y) worked 37 hours. Together, they made $1,172.50.
Answer:
Mr. Linx wages = x = $15
Mrs. Lynn wages = y = $17.50
Step-by-step explanation:
Mr. Linx wages = x
Mrs. Lynn wages = y
x + y = 32.50 (1)
35x + 37y = 1,172.50 (2)
From (1)
x = 32.50 - y
Substitute x = 32.50 - y into (2)
35x + 37y = 1,172.50
35(32.50 - y) + 37y = 1172.50
1137.5 - 35y + 37y = 1172.50
- 35y + 37y = 1172.50 - 1137.50
2y = 35
y = 35/2
y = 17.50
Substitute y = 17.50 into (1)
x + y = 32.50
x + 17.50 = 32.50
x = 32.50 - 17.50
x = 15
Mr. Linx wages = x = $15
Mrs. Lynn wages = y = $17.50
Can someone please help me
Answer:
radius = 10
(x-5)² + (y-11)² = 100
Step-by-step explanation:
The circumference is given, we get r = 20π/2π = 10
∴Equation of circle is (x-5)² + (y-11)² = 100
Answer:
hiii
Step-by-step explanation:
Chris got 28 out of 35 correct in his test.
What fraction of the marks did he get correct?
Answer:
4/5
Step-by-step explanation:
HELLLLLLLLLLLLLLLLLPPPPPPPPPPPP 10 POINTS anD BRAINIESt
Answer:
35.859375?
Step-by-step explanation: ;-;
jill uses some of her honey to make lotion. if each bottle of lotion requires 1/4 gallon and she uses a total 3 gallons how many bottles of lotion does she make
Answer:
am gonna need more imformation
Step-by-step explanation:
HELP
What is an equation of the line that passes through the points (-6, 2) and (6, –2)?
Answer:
y=(-1/3)x
Step-by-step explanation:
y=mx+b
(x,y)
put in the first point into y=mx+b
2=m(-6)+b
then the second point is (6,-2)
put the point into y=mx+b
-2=6m+b
----------------------------
Put both equations in a system of equations
-2=6m+b
2=m(-6)+b
solve for m and b
-1/3=m and 0=b
so put that back into y=mx+b
y=(-1/3)x+0
so that is the only line that passes through both points
Pls help i am stuck on this
Answer:
1,4.560
Step-by-step explanation:
I am not so sure.
Which of the following expressions is equivalent to 4^-3?
Answer:
x(12y+4)
Step-by-step explanation:
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?
Answer:
the answer is 4.5 in term of the measurement because Figure A has a larger scale and B has a smaller scale
Answer:
0.25
Step-by-step explanation:
Divide one side of Figure B by the congruent side of Figure A and you would get the scale factor.
If you multipy every side of figure A by 0.25 you would get the sides of figure B.
Hope this is helpful:)
logarithm
[tex] log(53.75) [/tex]
Answer:
log(53.75) ≈ 1.73
Step-by-step explanation:
Not sure if this was a question but I just put it into my calculator.
