Answer:
Step-by-step explanation:
a1 = 100
r = 1/5
an = 100 (1/5)^(n - 1)
Try it. We have the answer for a_3
a_3 = 100 * (1/5)^(3 - 1)
a_3 = 100 * (1/5)^2
a_3 = 100 * 1/25
a_3 = 4 which is just what the series says should be the answer.
Sarah took out a $30,000 loan at a 4% interest rate to put a new pool in her backyard. If the interest is compounded quarterly, write a function to model this situation. How much interest will she have paid after 12 years?
Answer: $48,366.78
Step-by-step explanation:
3000(1+0.04/4) 4t
The function is A = 30,000(1+0.04/4)^(4t) and the compound interest is $18,366.78 if the interest is compounded quarterly.
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]\rm A = P(1+\dfrac{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)
Here P = $30,000
r = 4% = 0.04
n = 4
t = 12
The function of this situation:
[tex]\rm A = 30,000(1+\dfrac{0.04}{4})^{4t}[/tex]
Plug t = 12 in the above function.
[tex]\rm A = 30,000(1+\dfrac{0.04}{4})^{4\times12}[/tex]
A = $48,366.78
So compound interest CI = 48,366.78 - $30,000
CI = $18,366.78
Thus, the function is A = 30,000(1+0.04/4)^(4t) and the compound interest is $18,366.78 if the interest is compounded quarterly.
Learn more about the compound interest here:
brainly.com/question/26457073
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I NEED HELP PLEASEE ASAP
Answer:
7. open & shade right
4. ∞>x>=11
5. 10.5<x<∞
9. closed & shade right
Step-by-step explanation:
Answer:
Step-by-step explanation:
K < 8= open circle on 8 shade left
d < 4 = open circle on 4 going to the left
9. closed circle on 13.5 going to the right
Im not sure about the others but h oped this helped!
9x + 3y = -15
-18x - 6y = 30
X = ?
Y = ?
Answer:
I dont know why the answers are the same thats how i got the answer solving them
Step-by-step explanation:
answer for 9x+3y=-15
is
x=-5/3 -y/3
y= -5 - 3x
answer for -18x-6y=30
is
x=-5/3 - y/3
y= -5-3x
i have no question .
Answer:
I have no answers.
Step-by-step explanation:
mr rolando sold the house and that at 10, 500,000.00 if he will receive 4% commansion, how much his commansion?
Given:
Mr. Rolando sold the house and that at 10,500,000.00.
Commission percent = 4%
To find:
The amount of commission.
Solution:
We have,
Commission percent = 4%
Commission = 4% of selling price of the house.
= [tex]\dfrac{4}{100}\times 10,500,000[/tex]
= [tex]4\times 105,000[/tex]
= [tex]420,000[/tex]
Therefore, the amount of commission is 420,000.
What kind of sequence is this? 52, 39, 26, 13, ...
Check you
What is th
y = 3x + 7
5x - 2y=-10
✓
Please answer
Answer:
x=-4; y=-5Step-by-step explanation:
5x-2(3x+7)=-10
5x-6x-14=-10
-x=4
x=-4
y=3(-4)+7
y=-5
Need help please!!!!!!
Answer:
x = 13.75
Step-by-step explanation:
(4x + 5) - 10 = 50
4x + 5 - 10 = 50
4x - 5 = 50
4x = 50 + 5
4x = 55
x = 55/4
x = 13.75
write the slope intercept from of the equation of the line
Answer:
y= x + 2
Hope this helps
How do you write 25/50
as a percentage?
Answer:
50%
Step-by-step explanation:
Converting a fraction such as 25/50 into a percent is pretty easy.
All you have to do is divide the numerator by the denominator and then multiply that result with 100 like so:
(Numerator/Denominator)*100
Then you enter 25/50 into the above formula, you get (25/50)*100 which calculates to:
50%
:)
Hope this helps!
Help please will give brainliest
Answer:
the first one
Step-by-step explanation:
have a great day
3.
We have $10,000 to invest for 45 months. How much money will we have if we put
the money into an account that has an annual interest rate of 5.5% and interest is
compounded...
a. monthly
b. quarterly
c.continuously
(find all)
Apply the distributive property to create an equivalent expression.
( 1 -2g +4h)\cdot 5 =(1−2g+4h)⋅5
Given:
The expression is
[tex](1-2g+4h)\cdot 5[/tex]
To find:
The equivalent expression.
Solution:
Distributive property of multiplication over addition is
[tex]a(b+c)=ab+ac[/tex]
Where, a, b and c are real numbers.
We have,
[tex](1-2g+4h)\cdot 5[/tex]
Using distributive property, we get
[tex]=(1)\cdot 5+(-2g)\cdot 5+(4h)\cdot 5[/tex]
[tex]=5-10g+20h[/tex]
Therefore, the expression [tex]5-10g+20h[/tex] is equivalent to the given expression.
Answer:
5-10g+20h
Step-by-step
Please give Brainliest :)
Noah is buying a pair of jeans and using a coupon for 10% off. The total price is $56.70, which includes $2.70 in sales tax. Noah's purchase can be modeled by the equation:
x - 0.1x + 2.70 = $56.70
Which of the following points could be tied to the coordinate graphiasathind point to
create an isoscelestrande Choose all that apply
5
-5
(2 points)
(1,3)
(-2,5
0 (4,-2)
HELP! I need to divide 31.35 / m squared.
Answer:
it doesn't change
Step-by-step explanation:
What is the value of 6x90.6
Answer:
543.6
Step-by-step explanation:
answer is 543.6 :)
Factor the following expression.
12 vx?y9 + 18V3x6
Answer:
the anwser is 6(2vw?y+3V^3x^6)
Step-by-step explanation:
-2(n-12)+1=-2n+25
help
Answer:
infinite solutions
Step-by-step explanation:
use the distributive property
-2n + 24 + 1 = -2n + 25
-2n + 25 = -2n + 25
+2n +2n
25 = 25
infinite solutions
Answer:
infinitely many solutions
Step-by-step explanation:
-2(n-12)+1=-2n+25 Distribute.
-2n+24+1=-2n+25 Combine like terms on each side of the equation.
-2n+25=-2n+25 Add 2n on both sides of the equation.
+2n +2n
25=25
This statement is true, so there are infinitely many solutions.
I hope this helps...have an awesome day (~*▽*)~
Factorise fully 6ac + 10ac
Step-by-step explanation:
6ac+10ac
2ac(6ac+10ac)
2ac(3+5)
Convert 4 miles into yards there are 3,520 yards in 2 miles
Answer:
7,040
Step-by-step explanation:
2 miles is half of 4 miles so you would multiply 3,520 yards by 2.
what is 14/20 as a percentage ?
Answer:
The answer is 70% HOPED THIS HELPED !!
Step-by-step explanation:
You turn 14/20 to a decimal which is 0.7 then multiply 0.7 by 100 which equals 70%.
Did I get this correct? If not please help me!!!
Answer:
I thinck u did get it write ....
Step-by-step explanation:
Find the shaded area. 12 cm 18 cm 8cm 8cm
Step-by-step explanation:
152 cm square is ur answer
-3x-y=9
y=-3x+9
(select the correct answer for the solution to the following system of equations)
A: (1,6)
B: (0,-9)
C: infinite solutions
D: no solution
Answer:
D: no solution
...because none of the answers work for both of the equations when you plug in the x and y values
how to do two digits multiplication
Search it up! There are lots of helpful and informative videos that can explain how to do it more than I can!
i hope this helps :)
anybody knows what to do ...
Answer:
put them in goo gle they are chemicals they shoulf bting up a picture
Step-by-step explanation:
Write a ratio in simplest form that compares the number of basketball cards to the total number of cards.
I am expecting that 52 total cards
complete the algebra terms with table and graph given y = 2x +3
HELPPP IM ON A TIME LIMIT IF I FAILE IM GOING TO GET A WHOOPING OK PLS HELP
Which of the following represents the equation below in intercept form?
f (x) = 2x² + 6x - 80
A) f (x) = (x-5) (x+8)
B) f (x) = 2 (x-5) (x+8)
C) f (x) =2 (x+5) (x-8)
D) f (x) = 2 (x-4) (x+10)
Answer:
A
Step-by-step explanation:
since your in hurry i wont be showing work
Answer: B
is B f(x) = 2 (x-5) (x+8)
Step-by-step explanation:
Because you simplify
f (x) = 2x² + 6x - 80
f (x) = 2x2+6x−80
f (x) = 2x2+6x−80
= 2 (x−5)(x+8)
hope this help ;)