Answer:
11
Step-by-step explanation:
\text{Compounded Daily:}
Compounded Daily:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
A=70900\hspace{35px}P=37000\hspace{35px}r=0.057\hspace{35px}n=365
A=70900P=37000r=0.057n=365
Given values
70900=
70900=
\,\,37000\left(1+\frac{0.057}{365}\right)^{365t}
37000(1+
365
0.057
)
365t
Plug in values
70900=
70900=
\,\,37000(1.0001562)^{365t}
37000(1.0001562)
365t
Simplify
\frac{70900}{37000}=
37000
70900
=
\,\,\frac{37000(1.0001562)^{365t}}{37000}
37000
37000(1.0001562)
365t
Divide by 37000
1.9162162=
1.9162162=
\,\,1.0001562^{365t}
1.0001562
365t
\log\left(1.9162162\right)=
log(1.9162162)=
\,\,\log\left(1.0001562^{\color{blue}{365t}}\right)
log(1.0001562
365t
)
Take the log of both sides
\log\left(1.9162162\right)=
log(1.9162162)=
\,\,\color{blue}{365t}\log\left(1.0001562\right)
365tlog(1.0001562)
Bring exponent to the front
\frac{\log\left(1.9162162\right)}{\log\left(1.0001562\right)}=
log(1.0001562)
log(1.9162162)
=
\,\,\frac{365t\log\left(1.0001562\right)}{\log\left(1.0001562\right)}
log(1.0001562)
365tlog(1.0001562)
Divide both sides by log(1.0001562)
4164.8632402=
4164.8632402=
\,\,365t
365t
Use calculator
\frac{4164.8632402}{365}=
365
4164.8632402
=
\,\,\frac{365t}{365}
365
365t
Divide by 365
11.4105842=
11.4105842=
\,\,t
t
t\approx
t≈
\,\,11
11
Using compound interest, it is found that it would take 11 years for the value of the account to reach $70,900.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.Hence, the parameters are given as follows:
[tex]A(t) = 70900, P = 37000, n = 365, r = 0.057[/tex]
We have to solve for t, then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]70900 = 37000\left(1 + \frac{0.057}{365}\right)^{365t}[/tex]
[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = \frac{70900}{37000}[/tex]
[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = 1.91621622[/tex]
[tex](1.00015616)^{365t} = 1.91621622[/tex]
[tex]\log{(1.00015616)^{365t}} = \log{1.91621622}[/tex]
[tex]365t\log{1.00015616} = \log{1.91621622}[/tex]
[tex]t = \frac{\log{1.91621622}}{365\log{1.00015616}}[/tex]
t = 11.41
Rounding to the nearest year, it would take 11 years for the value of the account to reach $70,900.
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For f(x) = 3x2 - 2, find F(x) =
f(x)dx
Answer: below
Step-by-step explanation: Given f(x) =kxn where k is a constant, then f'(x) = nkx(n - 1)
Can you apply this principle to this problem, Let me know if you have any further questions about this problem. Thanks.
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1
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please help need this urgently
Answer:
a
Step-by-step explanation:
Answer:
The answer is A. y=1/3x+4
Explanation:
Perpendicular means that the slope is flipped and the only answer that has -3 flipped is A.
GUYS PLEASE HELP ME ive been struggling with this for the past 15 minutes
Answer:
Loading Answer...
Step-by-step explanation:
Loading Explanation...
Marie gets paid $ 2,000 monthly and a commission of 50 dollars for each sale she makes. Write an expression that represents her salary.
Answer:
2000+(50× x)
Step-by-step explanation:
The certain salary is 2000 but we do not know how much sale where made so the amount is placed as x inwhich will be multiples by 50 then added to 2000 to get total
WILL REWARD What is the equation of the line in point-slope form?
Use the red point in your equation. Write your answer using integers, proper fractions, and
improper fractions in simplest form.
Y-___=___(x-____)
Step-by-step explanation:
the red point is (4, -5).
so, y - (-5) = -1/7(x - 4)
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Rewrite in simplest terms: 9(-6r – 3) + 2(r +9)
Answer:
I think its 'r= 15/7=0.467'
Step-by-step explanation:
Clea estimates that a glass contains 250.55 mL of water. the actual amount of water in the glass is 279.48 mL. To the nearest tenth of a percent what is the percent error in Clea's estimate?
You only have to answer 7,8 but if you want you can do 9 and 10
Answer:
#7) x = 3
#8) x = 9
Step-by-step explanation:
# 7
Well AOB + BOC = AOC so...
4x - 1 + 2x + 15 = 8x + 8 (collect like terms)
6x + 14 = 8x + 8 (subtract 8 on each side)
6x + 6 = 8x (subtract 6x on both sides)
6 = 2x (divide by 2 on both sides)
3 = x
#8
COD + BOC = BOD so..
8x + 13 + 3x - 10 = 12x - 6 (collect like terms)
11x + 3 = 12x - 6 (add 6 on both sides)
11x + 9 = 12x (subtract 11x on both sides)
9 = x
Hope this helps!!
HELP PLS BRAINLIEST FOR CORRECT ANSWER
Answer:
83
Step-by-step explanation:
Answer:
x = 59
y = 83
Step-by-step explanation:
First, you need to solve for y in order to solve for x. Using the Triangle Sum Theorem, you will find that y is 83 degrees.
Now, using the Vertical Angles Theorem, you can figure out the third angle of the triangle in which x is, 83.
Using the Triangle Sum Theorem again, you will find that x is 59.
If I am adding one positive number and one negative number, will the answer be positive or negative? What does it depend on?
It depends on which number has the greatest absolute value.
Think about it as money
If you owe me $10, this is shown as -10
Now if I give you back 2 dollars (+2), How much money do I still owe you.
The equation is -10+2
I still owe you 8 dollars which is portrayed as -8
Hope this helps :)
use a single digit times a power of 10 to estimate the number 0.00007264
Answer:
0.0007264
Step-by-step explanation:
I think it is right but if not I am so sorry! Hope this helps!
do all of the digits in 8.88 have the same value? and explain why.
Answer:
No
Step-by-step explanation:
Mitochondria is the powerhouse of the cell
hi everyone i need help
Answer:
1/9
Step-by-step explanation:
-2/3(-1/6)
1/9
Work out the length x pls
Answer:
~17.67
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2
7.5^2+16^2=c^2
~17.67
Answer:
Step-by-step explanation:
We use pythagorus theorem which is; a²+b²=c²
(16cm)²+(75/10cm)²=x²
256cm²+225/4cm²=x²
1249/4cm²=x²
√1249/4cm²=√x²
312.25cm=x
Anyone know how to do this? pls explain how
If Mis a centroid of triangle WOR and WM = 16, what is WX?
8
24
10
32
Answer:
WX = 24
Step-by-step explanation:
Centroid of a triangle divides the medians of the triangle in the ratio 2 : 1
Therefore,
WM/ MX = 2/1
16/MX = 2/1
2MX = 16
MX = 16/2
MX = 8
WX = WM + MX
WX = 16 + 8
WX = 24
The value of the side WX is equal to 24. The correct option is B.
What is the centroid of the triangle?The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together.
A line connecting a side's midpoint and the triangle's opposite vertex is called the median. Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The centroid of a triangle divides the medians of the triangle in the ratio of 2: 1.
Here, the ratio of the two sides will be given as:-
WM/ MX = 2/1
Calculate the value of MX to get the value of WX.
16/MX = 2/1
2MX = 16
MX = 16/2
MX = 8
The value of WX will be:-
WX = WM + MX
WX = 16 + 8
WX = 24
Therefore, the value of the side WX is equal to 24.
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please help so I can pass
Write 0.15 as a fraction in simplest
Answer: 3/20 also known as 15% Hope this helps Have a great night
Step-by-step explanation:
if any of you guys know someone named shurmpy or molly plz tell me they real good freinds to me
Answer:
ok
Step-by-step explanation:
LuAnn is playing a math game. She chooses three cards. The value of each of her cards is shown. • First card: -12 • Second card: 3 • Third card: -5 What is the sum of the values of LuAnn's three cards?
The sum of all the cards of Luann is -14.
One of the four fundamental operations for arithmetic on integers, decimals, fractions, real and complex numbers, as well as in algebraic expressions or on structures related to them, including vector spaces, is sum (also known as addition).
The terms, addends, or summands collectively refer to the numbers or objects that need to be added in general addition; this nomenclature also applies to the summation of several terms. This should be distinguished from multiplied factors.Addition or sum follows the commutative , associative and distributive properties.The given numbers on the cards are given as - 12 , 3 and - 5 .
Therefore the addition or sum is equal to :
-12 + 3 + ( - 5 ) = - 17 + 3 = - 14
Hence the sum of all the cards in LuAnn's card games is -14.
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need help finding the slope line through each apartment of points
Answer:
how are yall so smart bc im sittin over here like bruh these guys are smarter than enistain
Step-by-step explanation:
Answer:
8/-11
Step-by-step explanation:
m=y2-y1/x2-x1
16-8=8
9-20=(-11)
8/-11
hope this helps :3
if it did pls mark brainliest
1.
Susan has five blocks of candy. She wantsstwo ciwe chook into -size pieces of
candy. How many pieces of candy willstrebe anettonale?
6
Estimate each percent.
70% of 103
(1 Point)
Enter your answer
Will make Brainlylist
Answer:72.1
103*.7=72.1
I hope this is good enough:
BRAINLIEST FOR THE ANSWER!!! PLEASE ANSWER QUICK
Which number line shows the graph of -2.75
-3
-2
-1
0
1
2
3
0
1
2.
3
-3 -2
-1
0
1
2 3
-3 -2
0
1
2.
3
Answer:
B.
Step-by-step Explanation:
The correct number line for -2.75 < x in the given options is the second diagram.
What is number line?
A number line is a picture of straight line that represents real numbers. These real numbers include both negative and positive numbers.
For the given expression which -2.75 < x, that is negative 2.75 is less than x or x is greater than negative 2.75.
On the number line, the arrow with unshaded circular bottom must start from -2.75 and point towards the right.
Thus, the correct number line in the given options is the second diagram or option B.
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What is the value of 30 minus 2 (7 + 2) minus 1?
11
14
17
19
plus brainlyest and im being times so please hurry
Answer:
11
Step-by-step explanation:
30-2(7+2)-1
30-2(9)-1
30-18-1
30-19
11
What is the slope,m, of the table?
What is the y-intercept,b, of the table?
What is the equation that represents the table?
Answer:
9
Step-by-step explanation:
These two lines are graphs of non-proportional relationships what makes them not proportional
Answer: b or c
Step-by-step explanation:
who can solve |x-4| = 21
Answer:
|x| = 25
Step-by-step explanation:
Original Equation:
|x - 4| = 21
Just add 4 to both sides
|x| = 25
Hope this helped :)
Answer:
the answer is 25 or -17
Check
Your Understanding
Marcos deposited $500 into a 2.5-year simple interest account. He wants to earn $50 interest. What interest rate must the account pay?
The account must pay a 40 percent interest rate under Marcos.
A basic interest account is what?A loan's or deposit's initial principal serves as the foundation for simple interest.
Contrarily, compound interest is calculated based on both the principal amount and the interest that is accrued on it each period.
Simple interest is simpler to compute than compound interest because it is just applied to the principal.
based on the information provided,
500+x=200
x=200/500
x=40
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