Answer:
500
Step-by-step explanation:
here
principal(p)=2500
rate (R)=5%
Time (T)=4 years
now,
Intrest (I)=(P×T×R)/100
(2500×5×4)/100
=Rs 500
After 4 years the investment of $2500 will be $3051.02.
What is compounded interest?Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Compound interest is calculated by multiplying the initial principal amount (P) by one plus the annual interest rate (R) raised to the number of compound periods (nt) minus one. That means, CI = P[(1 + R)ⁿˣ – 1] Here,
P = Initial amount
R = Annual rate of interest as a percentage
n = Number of compounding periods in a given time
Given, 2500 dollars is invested at an interest rate of 5% compounded monthly.
From the above formula of compound interest
Total amount A = P(1 + r/n)^nt
In our case
p = 2500
r = 5%
t = 4 years
Thus,
Total amount = 2500(1 + 5/12)^12 * 4
Total amount = 3051.02
therefore, this investment will be worth $3051.02 after 4 years.
Learn more about compounded interest here:
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A cone with a radius of 7ft and a height of 12ft is filled with wet sand. you took that sand and built a pyramid with a base of 4ft by 5ft how tall would the resulting pyramid be?
Answer:
95.36 ft
Step-by-step explanation:
Volume of a Cone[tex]=\frac{1}{3}\pi r^2 h[/tex]
Radius=7 ft, Height=12 ft
Therefore the volume of sand in the cone
[tex]=\frac{1}{3}\pi *7^2*12\\=615.7522$ ft^2[/tex]
If the sand was used to build as pyramid with a base of 4ft by 5ft.
Volume of a Pyramid[tex]=\frac{1}{3}*$Base Area* Height[/tex]
[tex]615.7522=\frac{1}{3}*(4*5)* Height\\615.7522=\dfrac{20}{3}* Height\\$Multiply both sides by \dfrac{3}{20}\\$Height =615.7522*\dfrac{3}{20}\\\\$Height of the pyramid=95.36 ft[/tex]
Can someone help with the following question. Explain why it's the answer
Thank you.
Which is the graph of g(x) = [x+3]
Answer:
Option D
Step-by-step explanation:
The graph of g(x) = ⌈x + 3⌉ is the graph of the parent function h(x) = ⌈x⌉ that has been shifted to the left 3 units.
The correct choice is D
Help asap . thank youu
Answerr:turturtyuturtyurtyurtujj
Step-by-step explanation:
hmhmhgmfgjrtyhetyhtrhtrthrtngjthgfrtyu
Answer:
No
Step-by-step explanation:
If you graph the line, you will get an exponential function
ok so I must be stupid but pls help
It is A and D
They both have a volume of 80
Please help, im so confused lol thank you
Answer:
3
Step-by-step explanation:
First find the values where f(x) = g(x)
These occur when the graphs intersect
x = -2, -1, 2
These are the points where the graphs intersect
Given the choices of -1,2,3,-2
They do not intersect at 3
I just need a bit more clarification (just checking if my answer is right)
I put: C
But I just want more clarification.
Answer:
I think it's right. you should be fine
The area of a rectangle is equal to its length times its width. If the area of a rectangle
is 14x + 42 square feet, which option(s) could be the length and width of that rectangle?
Answer:
Either x+15 or x-17.
Step-by-step explanation:
Please help. The correct and best answer gets brainiest! 29 points!!
(please make sure you are correct and show your work, no guessing)
Answer:(15, 100)
Step-by-step explanation:
first find the coordinates of the point above (3, 20)
you just look at the x axis and where the point is in this case x would be 6 and then you find y which would be 40
so the coordinate would be (6, 40)
now subtract (6, 40) by (3, 20)
6-3= 3
40- 20= 20
you get the first coordnites which is what you add (12,80) to
12 +3= 15
80+ 20= 100
you get the coordinates (15, 100)
PLEASE HELP ME ILL GIVE BRANLIEST!!! (and 50 points!)
A company mixes two kinds of cleansers to get a blend they sell for 59 cents a liter. One of the cleansers costs 50 cents per liter, and the other 80 cents per liter. How much of each kind should be mixed to get 2,000 liters of the blend?
Answer:
x = the 50c cleanser
y= the 80c cleanser
x= 1400 liters
y=600 liters
I'm pretty sure this is right
The side length of a square is 5.25 inches. What is its area? What is its perimeter? Be sure to show your work for credit and don't forget to label units!
Answer:
Step-by-step explanation:
area of a square is just L^2 or one of the sides squared
and the perimeter is 4L
that means
Area = 5.25^2
= 27.5625 in^2
Perimeter = 4 * 5.25
= 21 in
Solve for x. 10= in ( x - 5 )
Answer:
In decimal form it's 0.69897000... and in exact form it's 5
Step-by-step explanation:
A second-grade student is 4 feet tall. Her teacher is 5 2/3 feet tall.
How many times as tall as the student is the teacher?
What fraction of the teacher’s height is the student’s height?
Can anyone help with this please?
Answer:
1. 17/12
2. 12/17
Step-by-step explanation:
The teacher is 1.42 times as tall as the student and the required fraction is given by 17/12
What is a ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given here; Height of the student = 4 ft. and height of teacher =5²/₃
Ratio of the height of the teacher and student is
= 5+2/3 / 4 ( 5²/₃=5+2/3 , property of mixed fractions)
= 17/3 × 1/4
=17/12
=1.4166
Thus we can say that the height of teacher is 1.42 times as tall as the student.
Also as given above the teacher's height is 17/12 the students height.
Hence, The teacher is 1.42 times as tall as the student and the required fraction is given by 17/12
Learn more about ratios here:
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(01.01)
Evaluate 9 − 3 ⋅ 2 + 4. (1 point)
Group of answer choices
Answer: 7
Step-by-step explanation: 9-3•2+4
9-6+4
=7
4. Francisco says, "36 is 75% of 48." Is Francisco correct or incorrect?
Show your reasoning using a Tape Diagram."
Answer:
see below
Step-by-step explanation:
Is means equal and of means multiply
36 = 75% * 48
36 = .75* 48
36 = 3/4* 48
36 =36
Using the tape diagram
Divide 48 into 4 pieces
12 12 12 12
Then circle 3 of them
12 +12 + 12
36
Answer:
Correct
Step-by-step explanation:
75% of 48
75/100 × 48
3/4 × 48
36
Divide the tape of length 48 units into 4 parts, 3 parts add up to 36
What is the length of Line segment A J if Line segment A B is parallel to lines segment J K?
8 in.
8.75 in.
10.25 in.
14 in.
Answer:
8.75 in.
Step-by-step explanation:
See attachment for the figure.
As you can see, ∆ HBA & ∆HKJ are similar,
HB/HA = HK/HJ
3/5.25 = 8/HJ
3HJ/5.25 = 8
3HJ = 42
HJ = 14 in.
AJ = 14 - 5.25
AJ = 8.75 in.
Therefore, the length of Line segment AJ is 8.75 in.
Answer:
(B) 8.75
Step-by-step explanation:
is the relation a function?
please help.
Answer:
Yes
Step-by-step explanation:
A function has one input (x-value) per output (y-value).
In other words, a relation that does not repeat any x values is a function.
{(3,4) , (5,0) , (2,4) , (-5,-5)}
The domain of the relation is:
{-5,2,3,5}
Since none of the numbers repeat in the domain, the relation is a function.
For which values of x is the function
Y=x+4/(x+5)(x+11)
not defined? Select all that apply.
-4
5
-5
11
Answer:
x = - 5, x = - 11
Step-by-step explanation:
Given
y = [tex]\frac{x+4}{(x+5)(x+11)}[/tex]
The denominator cannot be zero as this would make y undefined.
Equating the denominator to zero and solving gives the values that x cannot be, that is
(x + 5)(x + 11) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x + 11 = 0 ⇒ x = - 11
Thus
x = - 11 and x = - 5 are excluded values.
Find the 23rd term of this sequence -25,-15,-5,5....
Answer:
195
Step-by-step explanation:
To find the 23rd term of this sequence, we can use the arithmetic sequence formula [tex]a_{n} =a_{1} +(n-1)d[/tex] where,
[tex]a_{n}[/tex] = [tex]n^{th}[/tex] term
[tex]a_{1}[/tex] = first term
[tex]n[/tex] = term position
[tex]d[/tex] = common difference
[tex]a_{23}=-25+(23-1)10[/tex]
[tex]a_{23} =195[/tex]
How many times were you able to transfer any contents of the cone into the cylinder? What comparison can you make between the volume of the cone and the volume of the cylinder?
Please answer correctly !!! Will mark brainliest !!!!!!
Answer:
5(x-4)-6
Step-by-step explanation:
If we subtract 6 from both sides, using the additive property of equality, we get that y, or f(x), equals 5(x-4)-6
What is the equation of the line that has a slope of –4 and passes through the point (2, 3)?
Answer:
y=-4x+11
Step-by-step explanation:
We can use the point-slope form of a line to solve this, which is
y - y₁ = m (x - x₁), where (x₁ , y₁) is a point and m is the slope.
We have:
y - 3 = -4(x - 2)
y - 3 = -4x + 8
y = -4x + 11
Hope this helps!
Combine the like terms to create an equivalent expression:
−3x-6+(-1)
Answer:
-3x-7
Step-by-step explanation:
The like terms here are -6 and -1. When we add the two, we get -7. Therefore, the answer is -3x-7. Hope this helps!
What is the slope of the line that passes through the points (6, 4) and (3,8)?
Answer:
-5/3
Step-by-step explanation:
you have to do slope formula
Plz, answer this question I need help. I'll mark you as brainliest and give you 5 stars.
Answer:
pretty sure its D but idk
Step-by-step explanation:
Allison currently has a balance of $2,300 in her checking account. She deposits a $345
paycheck, a $30 rebate check and a personal check for $600 into her checking account. She
withdrawals $350 in cash. How much will she have in her account after the transaction?
Answer:
2925
Step-by-step explanation:
2300 starting
Deposit means add
2300+ 345+30+600 =3275
Withdrawal means subtract
3275-350 =2925
She has 2925 in the account
Write the equation of a circle with a center at (-2,-10) and a radius of 1.2.
A) (x + 2)2 + (y + 10)2 =1.2
B) (x - 2)2 + (y - 10)2 = 1.2
C) (x + 2)2 + (y + 10)2 = 1.44
D) (x + 2)2 + (y + 10)2 = 14.4
Answer:
The correct option is the letter "C", [tex](x + 2)^2 + (y + 10)^2 = 1.44[/tex].
Step-by-step explanation:
The standard form for a circle's equation has the following structure:
[tex](x - x_c)^2 + (y - y_c)^2 = r^2[/tex]
Where [tex](x_c,y_c)[/tex] are the coordinates of the center of the circle and [tex]r[/tex] is the radius. Applying the data from the problem we have:
[tex](x - x_c)^2 + (y - y_c)^2 = r^2\\\[[x - (-2)]^2+ [y - (-10)]^2 = (1.2)^2\\(x + 2)^2 + (y + 10)^2 = 1.44[/tex]
Therefore the correct answer is the letter "C", [tex](x + 2)^2 + (y + 10)^2 = 1.44[/tex].
2. Why was Susan Weiss' work not
considered important?
Answer:
she was a woman.
a fully inflated car tire loses 2% of its air every day. if the tire atarted with 4460 cubic feet of air, write an equation to show how much air it had after d days.
Answer:
Step-by-step explanation:
4460=d*2
Find the average rate of change over the given interval f(x)=3^x,[1,4]
Answer:
26
Step-by-step explanation:
Thus, f(b)−f(a)b−a=3(4)−(3(1))4−(1)=26.