WILL MARK BRAINLIEST The amount (A) that principal (P) will be worth after t years at interest rate (r) compounded annually is
A = P(1 + r)
t
Suppose $6,000 is invested at 5.5% and yields a total of $7,255. How many years was it invested?
Put in the formula
[tex]\\ \rm\Rrightarrow A=P(1+r)^t[/tex]
[tex]\\ \rm\Rrightarrow 7255=6000(1+0.055)^t[/tex]
[tex]\\ \rm\Rrightarrow 1.20917=(1.055)^t[/tex]
[tex]\\ \rm\Rrightarrow ln1.20917=tln1.055[/tex]
[tex]\\ \rm\Rrightarrow t=\dfrac{ln1.20917}{ln1.055}[/tex]
[tex]\\ \rm\Rrightarrow t=3.5years[/tex]
Answer:
4 years (nearest year) or
3.5 years (nearest tenth) or
3 years, 6 months and 17 days (most accurate)
Step-by-step explanation:
Annual Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
A = $7,255P = $6,000r = 5.5% = 0.055Substitute the given values into the formula and solve for t:
[tex]\implies \sf 7255=6000(1+0.055)^t[/tex]
[tex]\implies \sf 7255=6000(1.055)^t[/tex]
[tex]\implies \sf \dfrac{7255}{6000}=(1.055)^t[/tex]
Take natural logs of both sides:
[tex]\implies \sf \ln \left(\dfrac{7255}{6000}\right)= \ln (1.055)^t[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\implies \sf \ln \left(\dfrac{7255}{6000}\right)= t\ln (1.055)[/tex]
[tex]\implies \sf t=\dfrac{\ln \left(\dfrac{7255}{6000}\right)}{\ln (1.055)}[/tex]
[tex]\sf \implies t=3.547416819...[/tex]
Therefore, the number of years the principal was invested is:
4 years (nearest year)3.5 years (nearest tenth)3 years, 6 months and 17 daysLearn more about compound interest here:
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Determine whether the equation is true or false
Answer:
its is true just keep practicing applying urself love<33
Brainly for the one who help me
Answer:
the 3rd choice
Step-by-step explanation:
Which of the following isn't equivalent to -1.2 + 6?
A. 6 - 1.2
B. -2 (0.6 - 3)
C. (-2.4 + 12) / 2
D. -1 (1.2 + 6)
E. I don't know.
A popcorn concessionaire has 25pounds of popcorn kernel. if he uses 1/4 pound of kernels for every bag he sells, how many bags of popcorn can he make?
Answer:
6.25 bags of popcorn
Answer:
6.25 Bags
or
6 whole bags
Step-by-step explanation:
= 25 * 0.25 <-- (This is how you write percentage algebraically)
= 6.25 Bags
Please help asap.Thanks
Ratio & rate graphs:
A commercial airplane is flying at a rate of 15 miles every 2 minutes.
Complete the table.
Minutes: 2,___, 6, 10
Miles flown: 15, 30,___,___
Answer:
4, 45, 75
Step-by-step explanation:
15 miles per 2 min = 7.5 miles per 1 min
2 min = 15 min
4 min = 30 min
6 min = 45 min
10 min = 75 min
DUE BEFORE 11 PM
USING THE LAW OF SINES SOLVE
Answer:
I round it to the whole number and degree.
<A = 33°
<C = 97°
C = 63
Step-by-step explanation:
Law of Sine: [tex]\frac{sinA}{A} =\frac{sinB}{B}= \frac{sin C}{C}[/tex]
[tex]\frac{sin(A)}{A} =\frac{sin(B)}{B}\\\frac{sin(A)}{104} =\frac{sin(50)}{49} \\\\sin(A)=\frac{104*sin(50)}{49}[/tex]
A = sin^-1 (104*sin(50)/49)
A = 33°
180° - <B - <A = <C
180° - 50° - 33° = 97°
[tex]\frac{sin(B)}{B}=\frac{sin(C)}{C} \\\\C =\frac{Bsin(C)}{sin(B)}\\\\C=\frac{104sin(97)}{sin(50)}\\\\C = 63[/tex]
You can transform circle F to circle F' by translating it and then performing a dilation centered at F'. Find the translation rule and the scale factor of the dilation
The translation is 8 units to the right and 5 units downwards, and the scale factor is k = 0.8
How to find the transformations used?
First, we have a translation that goes from F to F', to identify it, we need to find the centers of the two circles.
F = (-5, 4)
F'= (3, -1)
To get the translation we take the difference between the two centers:
F' - F = (3, -1) - (-5, 4) = (8, -5)
So the translation moves 8 units to the right and 5 units downwards.
To get the dilation we need to find the quotient between the radius of F' and the radius of F.
This is:
k = 4/5 = 0.8
So the scale factor is 0.8
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Choose all the factors of 12. (Check all that apply.) multiple choice
10
9
2
6
3
8
5
12
7
11
4
1
Please help
Answer:
Hey!!!!
the answers are 2, 6, 3, 12, 4, 1
Please read the explanation... it always helps..
Step-by-step explanation:
Alrighty... let's begin....
A factor is any number that you can multiply by another number to get a product
So choose the numbers you can mutiply by another number to get twelve... which are... 2, 6, 3, 12, 4, 1
if you are wondering why twelve well... 12 x 1 = 12
i hope this helps!!!!
what valur of x makes the equation below true? 9^5 * 9^7=9^x
Answer:
x=12
Step-by-step explanation:
(9^5)(9^7)=9^x
282429536481=9^x
Step 1: Flip the equation.
9^x=282429536481
Step 2: Solve Exponent.
9^x=282429536481
log(9^x)=log(282429536481)(Take log of both sides)
x*(log(9))=log(282429536481)
x=log(282429536481)/log(9)
x=12
The Smith family bought 25 raffle tickets
for a drawing sponsored by the Boys'
Club. If 1000 tickets were sold, which
fraction represents the Smiths' chance of
winning?
(1)
975
1
1
(2) 25
(
(3)
1
40
(4)
1
400
(5) 975
5
Answer:1/40
Step-by-step explanation: If the Smiths bought 25 raffle tickets, and there were 1000 sold in total, it would mean they have a 25/1000 chance. we can simplify 25/1000 into 1/40. Therefore, the answer is (3)
The product of a 25 and a number, increase by 8 is 68. find the number.
Answer:
2.4
Step-by-step explanation:
set up an equation to find x, the number.
[tex]25x+8=68[/tex]
subtract 8 from both sides
[tex]25x=60[/tex]
divide both sides by 25 to get x (the variable) alone
[tex]x=\frac{60}{25}=\frac{12}{5}=2.4[/tex]
Select the expression that represents the following statement: multiply the difference of 5 and 2 by 7, and then add 6. 7 x (5 − 2) + 6
5 + 2 x 7 + 6
7 x (5 + 2) − 6
6 − 2 + (7 x 5)
Answer:
7(5-2)+6
Step-by-step explanation:
difference - subtraction
putting the 7 next to it means that it will multiply times that first
need help due in 10 mins
Answer:
A) The amount of money deposited monthly
Step-by-step explanation:
y = 35x (slope) (amount deposited each month)+ 250 (y-intercept) (starting amount)
what is 2 90/100 in decimal form
Answer:
2 90/100 in decimal form would be 2.9.
Solve for the variable: 3(x+2) - 9 = 15 - 4(5x - 2)
[tex]\tt 3(x+2)-9=15-4(5x-2)[/tex]
To solve this equation, let's apply the distributive property:-
Multiple 3 by ( x+2)/ Subtract 9 from 6 = -3/ and then use the distributive property to multiply −4 by (5x-2) :-
[tex]\tt 3x - 3=15 - 20x+8[/tex]
Add 15 and 8 = 23
[tex]\tt 3x - 3=23 - 20x[/tex]
Now, add 20x to both sides:-
[tex]\tt 3x - 3=23 - 20x[/tex]
Combine like terms:-
[tex]\tt 23x-3=23[/tex]
Add 3 to both sides:-
[tex]\tt 23x=23+3[/tex]
[tex] \tt 23x=26[/tex]
Divide both sides by 23:-
[tex]\tt \: x = \dfrac{26}{23} [/tex]
- :)
The question is attached.
Answer:
A
Step-by-step explanation:
Please see attached, I have colour coded for your convenience
5 STARS FOR A CORRECT ANSWER IMAGE ATTACHED can anyone please answer this or how i find the weighted mean?
So, basically this is the formula to calculate weight mean.
Thank you.
What is the slop of a line that passes through the points (-3,2) and (-6,5)
The radius of a circle with an area of 60 square centimeters is represented by the expression StartRoot StartFraction 60 Over pi EndFraction centimeters. What is another way of expressing the radius?
2 StartRoot 15 pi EndRoot
4 StartRoot 5 pi EndRoot
StartFraction 2 StartRoot 15 pi EndRoot Over pi EndFraction
StartFraction 4 StartRoot 5 pi EndRoot Over pi EndFraction
Answer:
C) StartFraction 2 StartRoot 15 pi EndRoot Over pi EndFractionStep-by-step explanation:
Given circle with area of:
A = 60 cm²Find its radius
A = πr² ⇒ A/π = r² ⇒ √(A/π) = r ⇒ r = √(A/π)Substitute the values and find the value of r:
r = √(60/π) = 2√(15/π) = 2√(15π) / πNow compare this with answer choices:
A) 2 StartRoot 15 pi EndRoot ⇒ 2√(15π), incorrectB) 4 StartRoot 5 pi EndRoot ⇒ 4√(5π), incorrectC) StartFraction 2 StartRoot 15 pi EndRoot Over pi EndFraction ⇒ 2√(15π) / π, correctD) StartFraction 4 StartRoot 5 pi EndRoot Over pi EndFraction ⇒ 4√(5π) / π, incorrectAnswer:
c
Step-by-step explanation:
i want to know this factorization
Help plsss! I have no clue how to do this
Answer:
4
Step-by-step explanation:
Finding the mean :
105 + 106 + 120 + 111 + 109 + 104 + 110 + 115 / 8880/8110Absolute Mean Deviation of each term :
|110 - 105| = 5|110 - 106| = 4|120 - 110| = 10|111 - 110| = 1|110 - 109| = 1|110 - 104| = 6|110 - 110| = 0|115 - 110| = 5M.A.D. = 5 + 4 + 10 + 1 + 1 + 6 + 0 + 5 / 8
32/84What percent of 17 is 3?
Answer: 3 is 17.6471% of 17
Step-by-step explanation:
A pedestrian walks 7.4 kilometers west
and then 9.2 kilometers south.
What is the magnitude of the
pedestrian's resultant vector?
Hint: Draw a vector diagram.
[ ? ] kilometers
Round your answer to the nearest tenth.
Answer: 11.8 km
Step-by-step explanation:
The resulting figure is a right angled triangle shown below
[tex]$$Apply the Pythagorean theorem to find out the magnitude of the resultant vector $A B$ in the triangle $A B C$ as follows -$$\begin{aligned}&A B^{2}=B C^{2}+C A^{2} \text { (Hypotenuse }{ }^{2}=\text { Base }^{2}+\text { Adjacent }^{2} \text { ) } \\&=7.4^{2}+9.2^{2} \\&=139.4 \\&A B=11.806777 \\&\quad A B \approx 11.8 \mathrm{~km} \text { (Rounded off to the nearest tenth) }\end{aligned}$$[/tex]
Solve for x. Show all work.
Answer:
x = 10.
Step-by-step explanation:
By similar triangles:
3x - 5 / (3x - 5 +10) = 20 / 28
3x-5 / 3x+5 = 5/7
7(3x - 5) = 5(3x + 5)
21x - 35 = 15x + 25
6x = 60
x = 10.
Answer:
x= 10
Step-by-step explanation:
By similar triangles:
3x - 5 / (3x - 5 +10) = 20 / 28
3x-5 / 3x+5 = 5/7
7(3x - 5) = 5(3x + 5)
21x - 35 = 15x + 25
6x = 60
x = 10.
Is this function linear or exponential?
x y
0
–
5
1
–
10
2
–
20
3
–
40
4
–
80
The function represented by the table of values is an exponential function
How to determine the function type?The table is given as:
x 0 1 2 3 4
y 5 10 20 40 80
On the table, we have the following highlights:
As x increases by 1y multiplies by 2This means that the function has a common ratio
Only exponential functions have a common ratio
Hence, the function is an exponential function
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A survey of 100 students was taken. It was found that 60 students watched sports, and 34 of these
students did not like pop music. or the students who did not water sports, 70% liked pop music.
Complete the two-way frequency table.
Answer:
[tex]\left[\begin{array}{ccc}38&28&66\\22&12&34\\60&40&100\end{array}\right][/tex]
Step-by-step explanation:
70% of 40 is 28, with that number you can obtain the other data.
What I got is in the image below.
I got the rest of the numbers by subtracting and adding. I also managed to find the 70% by multiplying 40 (I subtracted 60 and 100 to get the total number of people who don't watch sports) by 0.7, getting that 28 of people who don't watch sports liked pop music. From there, getting the rest of the numbers is just a whole lot of adding and subtracting. I subtracted 60 and 34 to get the number of people who watch sports and like pop, which is 26. I also added 26 and 28 to get the total of people who like pop, which is 56. To get 46 for total number of people who don't like pop, I subtracted 40 and 28 which equals 12 (number of people who don't watch sports but don't like pop), then added 34 + 12 to get 46.
Which statement is logically equivalent to the following statement: “If it is raining, I will stay home from the concert”?
If I do not stay home from the concert, then it is not raining.
If it is not raining, I will not stay home from the concert.
If it is raining, I will not stay home from the concert.
If I stay home from the concert, then it is raining.
PLS help
Answer:
It’s If I do not stay home from the concert then it is not raining.
Step-by-step explanation:
it’s the answer that I have because in the question it’s asking what is the same but I guess opposite. Which is why I chose the first answer as my answer since if it’s not raining then they would go to the concert.
Simplify each expression. Write your answer as a complex number.
4i+(2+8i)
(2-7i) - (5-3i)
(5-4i)+(2-7i)
(-3-4i) - (-3+5i
Answer:
1. 2 + 12i
2. -3 - 4i
3. 7 - 11i
4. -9i
Step-by-step explanation:
just add and subtract like 'i' is a variable and make sure the answer is in the form a+bi
help will mark Brainliest
Answer:
Your answer is B.
Step-by-step explanation:
n>0 means n is greater than 0.
It is an open circle that is pointing to the right for positive values greater than 0.
Answer:Try B.
Step-by-step explanation: