When interest compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]A = P (1 + \frac{r}{n} )^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
If the interest compounded continuously:
P = $12000, r = 4.5% = 0.045%
⇒ [tex]A (t) = 12000 (e)^{0.045t}[/tex]
When t = 10 years, plug this value in the above expression and calculating, we get;
A(10) = $18819.75
When interest compounded daily:
[tex]A(t) = 12000 (1 + \frac{0.045}{365} )^{365t}[/tex]
Plug t = 10 years:
We get;
A(10) = $18819.22
Similarly, If interest is compounded monthly:
n = 12 and t =10, we get:
A(10) = $18803.91
Thus, when interest compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.
Learn more about the compound interest here:
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Chris works at a local hardware store where she earns a weekly salary of $150 and a 3% commission on all sales this week she sold $1500 worth of products
Answer:
Commission is $45.00
Weekly salary was $150.00 + $45.00
She earned $195.00 for her paycheck
Step-by-step explanation:
11 divided by 30.8 please help
Answer:
2.8
Step-by-step explanation:
Answer:
0.357142857...
Step-by-step explanation:
11 ÷ 30.8 = 0.357142857...
1 decimal place = 0.4
2 decimal place (also 2 significant figures) = 0.36
3 decimal place (also 3 significant figures) = 0.357
At an amusement park, anyone who is taller than 5 feet is allowed to ride the rollercoasters. Write an algebraic inequality using y to represent those who are taller than 5 feet and can ride the rollercoaster.
Answer:
y > 5
Step-by-step explanation:
To ride the Rollercoaster, height must be above 5 feets
y = height
Hence, the inequality representing those who can ride the Rollercoaster is :
Height above 5 feets
y > 5
Hence, anybody for which the inequality statement is true can ride the Rollercoaster.
4x[tex]x^{2}[/tex]+6x+2=0
What is a²+3a-38=0. How do you work this out Please show steps.
Use Quadratic Equation.......#
Hope it helps........☺
Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
4n3+6n2
Answer:
2n^2
Step-by-step explanation:
The greatest common factor (GCF) in a polynomial is the factor by which all the terms in the polynomial can be divided. In order to find this factor, you need to completely factor both terms in the polynomial and then note down which ones they have in common:
Step 1: 4n^3 + 6n^2 (Given polynomial)
Step 2: 2*2*n*n*n + 2*3*n*n (Factor the polynomial)
Step 3: 2*2*n*n*n + 2*3*n*n (Identify shared factors)
Step 4: 2*n*n = 2n^2; the GCF is 2n^2 (Multiply the shared factors by each other to get the GCF)
The greatest common factor of the above polynomial is [tex]2n^{2}[/tex].
We have a polynomial as -
[tex]4n^{3} +6n^{2}[/tex]
We have to find out the greatest common factor of this polynomial.
Define Greatest common factor.The greatest factor is the largest number that is the factor of two or more numbers.
We have the following polynomial -
f(n) = [tex]4n^{3} +6n^{2}[/tex]
We can write the function as -
f(n) = [tex]f_{1}(n) +f_{2}(n)[/tex]
In order to find the greatest common factor, take out all the common terms from the individual functions [tex]f_{1}(n)[/tex] and [tex]f_{2}(n)[/tex].
Therefore, we can write the above function f(n) as -
f(n) = [tex]2n\times2n^{2} + 2n^{2}\times3 \;\;= \;\;2n^{2} (2n +3)[/tex]
Hence, the greatest common factor of the above polynomial is [tex]2n^{2}[/tex].
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You invest $1,000 into a start up company at a 3% annual interest rate for 20 years. How much interest do you earn?
Answer:
600
Step-by-step explanation:
? = 1000 x .03 x 20
the 1000 is the original amount
the .03 is the percent/interest
the 20 is the time
12 i
REASONING Target A has a circumference of 20 feet. Target B has a diameter of 3 feet. Both targets are the same
distance away. Which target is easier to hit?
Answer:
target a
Step-by-step explanation:
target b has a 6 ft. circumference
please please complete the picture
Answer:
mode=most common answer
Step-by-step explanation:
1.12
2.9
3.1.8
4.56
5.5.9
A restaurant is offering 2 specials: 15 burritos for $12, or 9 burritos for $7.50. Noah needs 90 burritos for his party. Should he buy 6 orders of the 15-burrito special or 10 orders of the 9-burrito special?
Answer:
15 for $12 special
Step-by-step explanation:
It costs $72 for the 15 for $12 while it costs $75 for the 9 burrito special.
Answer:
9 burritos
Step-by-step explanation:
i think thats right if not sorry
please help quick!! i’ll give brainliest!!
Answer:
its the second one i belive
Step-by-step explanation:
write the inequality in words 1/3n-10>22
Answer:
10 is subtracted from a third of a number is greater than 22
Step-by-step explanation:
1/3n-10>22
you subtract 10 from 1/3n
1/3 - 10 is greater than 22
so:
10 is subtracted from a third of a number is greater than 22
What is the answer step by step
2(3x-4)-(x-7)=-6(x+1)+7x
Answer:
x = -5/4
Step-by-step explanation:
Which expression has the greatest value when x=3?
1. 2x'3 2. 2x'3 +5 3. (2x)'3 4. (x-1)'3
The '3 means to the power of 3 Thanks♡
Answer:
3) [tex](2x)^{3}[/tex]
Step-by-step explanation:
x = 3
1) [tex]2x^{3}[/tex]
2 x [tex]3^{3}[/tex]
= 54
2) [tex]2x^{3} + 5[/tex]
2 x [tex]3^{3}[/tex] + 5
= 59
3) [tex](2x)^{3}[/tex]
(2 x 3[tex])^{3}[/tex]
[tex]6^{3}[/tex]
=216
4) [tex](x - 1)^{3}[/tex]
(3 - 1[tex])^{2}[/tex]
[tex]2^{3}[/tex]
= 8
HELP ME PLEASE FOR THE SAKE OF GOD LOL
Answer:
Cells we are made of Stem cells
Red blood cells
White blood cells
Step-by-step explanation:
please help me reeeeeeeeee
Answer:
hiiiiiiiii what can i do foe youuui
Katelyn wants to build a desk for her doll. Her actual desk is 3 feet tall. The scale is 0.5 in: 1 ft How tall will the doll desk be?
Write an equation (y=mx+b) through the points: (3,-1) and (8,9)
Answer:
y=2x-7
Step-by-step explanation:
m==2
y=mx+b
9=16-7
y=2x-7
Person 3 bought a brand new car for $22,000. A year later the car had depreciated 23%. How much did the car depreciate?
What is the value of the car now?
A ball is thrown straight up with initial velocity of 64 ft./s. The height of the ball t seconds after it is thrown is given by the formula s(t)=64t-16t^2
Answer:
64 feet
Step-by-step explanation:
Complete question
A ball is thrown straight up with initial velocity of 64 ft./s. The height of the ball t seconds after it is thrown is given by the formula s(t)=64t-16t^2. Find the maximum height reached by the ball.
At maximum height, the velocity of the ball is zero, i.e ds/dt =0
ds/dt = 64 - 32t
64 - 32t = 0
32t = 64
t = 64/32
t = 2secs
Substitute t = 2secs into the given equation;
Recall that s(t)=64t-16t^2
s(2) = 64(2) - 16(2)^2
s(2) = 128 - 16(4)
s(2) = 128 - 64
s(2) = 64 ft
Hence the maximum height reached by the ball is 64 feet
Together with the interest of 15%, in 20 days an amount of 5445 dollars was received. What is the capital, and how much is the interest?
Answer:
$5400
$45
Step-by-step explanation:
Interest = principal x interest rate x time
principal = p
interest rate = 15%
time = 20/365 = 0.054795
Interest = 5445 - p
5445 - p = 0.15 x p x 0.054795
5445 - p = 0.008219p
Collect like terms and solve for p
p = $5400
Interest = 5445 - 5400 = $45
Solve for x.
3/4(8x-12) = 2/3(6x+12)
I’ll mark YOU as brainlister please help ASAP
An artist mixes paint to make new colors.
She uses 13 cup of red paint and 13 cup of yellow paint to make a batch of orange paint.
If the artist has 2 cups of red paint available and 3 cups of yellow paint available,
how many batches of orange paint can she make?
Answer:
The artist can make six batches of orange paint and it remains one cup of yellow paint
Hope it helps plz give me brainlist :)
Craig likes to collect vinyl records. Last year he had 63 records in his collection. No he has 112 records. What is the percent increase in his collection? Round to the nearest whole.
Answer:
Collection increased by 78%.
Step-by-step explanation:
Last year number of vinyl records in Craig's collection = 63
Now he has number of vinyl records = 112
Number of vinyl records increased = 112 - 63 = 49
Percentage increase in his collection = [tex]\frac{\text{Number of records increase}}{\text{Number of records last year}}\times 100[/tex]
= [tex]\frac{49}{63}\times 100[/tex]
= 77.8
≈ 78%
Therefore, his collection increased by 78%.
identify the slope of the graph below
show work please
Answer:
0
Step-by-step explanation:
Slope is 0 in any horizontal lineThe table shows the results from a random sample of 5 students at a high
school. Which option best describes the population from which this random
sample was taken?
Answer:
I think it's D
Help show work I will mark brainliest
Answer:
1.46035
2.200
3. 236
Step-by-step explanation:
1. Formula: length x width x height
23x9x5=46035
2. Formula: triangle area (base x height / 2) x length
10 x 20 = 200
3. Formula: πr^2 x height
(5/2)^2 x 3.14 x 12 = 235.5 = 236
Answer and step-by-step explanation:
1. A=734
due to this stuff A=2(wl+hl+hw)=2·(9·23+5·23+5·9)=734
3. A≈227.77
due to this A=2πrh+2πr2=2·π·2.5·12+2·π·2.52≈227.76547
2. the other guy is right
Solve the equation 3x2 + 11z – 4= 0.
Help I need to plug these in and find the two answers for x
Step-by-step explanation:
Explanation:
Given:
−3x2+12x+1=0
This is in the form:
ax2+bx+c=0
with a=−3, b=12 and c=1
In order to decide which method to use, we can first examine the discriminant:
Δ=b2−4ac=122−4(−3)(1)=144+12=156
Since Δ>0 we can tell that the quadratic has 2 distinct real solutions, but because it is not a perfect square we can also tell that those solutions are irrational.
So there is no rational factorisation and we can discount the use of an AC method or similar.
We can use the quadratic formula or we can complete the square.
If we choose to use the quadratic formula, then we find:
x=−b±√b2−4ac2a
x=−b±√Δ2a
x=−(12)±√1562(−3)
x=−12±2√39−6
x=2±√393
When completing the square, note that b=12 is already divisible by a=−3 and by
Someone please help with this Free Response on USATestPrep
Given the equation y = 12x − 25, describe a real-life context that could be modeled by the equation and describe the meaning of the coefficient, variable, and constant term expressed in the equation.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the equation :
y = 12x − 25
The initial depth of groundwater being held by a storage tank which extends downward below the ground surface is - 25. The rate of change in depth the groundwater per unit of Rainfall is 12. Hence, a linear model which could model the depth of water in the tank in the described scenario is ;
y = 12x − 25
The rate of change in depth of ground water, y per unit change in number of Rainfall, x gives the slope Coefficient, which equals 12
The intercept value, which is the initial depth of groundwater before, it started raining is - 25
