Answer:
t≈ 8
Step-by-step explanation:
\text{Compounded Monthly:}
Compounded Monthly:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
A=109700\hspace{35px}P=97000\hspace{35px}r=0.016\hspace{35px}n=12
A=109700P=97000r=0.016n=12
Given values
109700=
109700=
\,\,97000\left(1+\frac{0.016}{12}\right)^{12t}
97000(1+
12
0.016
)
12t
Plug in values
109700=
109700=
\,\,97000(1.0013333)^{12t}
97000(1.0013333)
12t
Simplify
\frac{109700}{97000}=
97000
109700
=
\,\,\frac{97000(1.0013333)^{12t}}{97000}
97000
97000(1.0013333)
12t
Divide by 97000
1.1309278=
1.1309278=
\,\,1.0013333^{12t}
1.0013333
12t
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\log\left(1.0013333^{\color{blue}{12t}}\right)
log(1.0013333
12t
)
Take the log of both sides
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\color{blue}{12t}\log\left(1.0013333\right)
12tlog(1.0013333)
Bring exponent to the front
\frac{\log\left(1.1309278\right)}{\log\left(1.0013333\right)}=
log(1.0013333)
log(1.1309278)
=
\,\,\frac{12t\log\left(1.0013333\right)}{\log\left(1.0013333\right)}
log(1.0013333)
12tlog(1.0013333)
Divide both sides by log(1.0013333)
92.3402971=
92.3402971=
\,\,12t
12t
Use calculator
\frac{92.3402971}{12}=
12
92.3402971
=
\,\,\frac{12t}{12}
12
12t
Divide by 12
7.6950248=
7.6950248=
\,\,t
t
The point slope form of the equation of the line that passes through (-9,-2) and (1,3 ) is y- 3= 1/2(x-1). What is the slope intercept form of the equation for this line? (Plz help!! It’s 15 points!! )
Answer:
y=.5x+2.5 OR [tex]y=\frac{1}{2}x +\frac{5}{2}[/tex] (both are right)
Step-by-step explanation:
Distribute the 1/2
y-3=.5x-.5
add 3
y=.5x+2.5 OR [tex]y=\frac{1}{2}x +\frac{5}{2}[/tex] if you're into fractions
An ice cream shop sells five sundaes for every six cones. Yesterday the shop sold 60 sundaes. How many cones were sold?
Answer:
50
Step-by-step explanation:
To get each sundae come from sold, you divide sold by for every x cones, then multiply by how many sundaes
Answer:
72
Step-by-step explanation:
60÷5=12
6×12=72 cones
Hummingbirds beat their wings very fast. The smaller the
hummingbird is, the faster its wings beat. The average hummingbird beats its
wings about 3 x 10 3 times a minute. How many times a minute is that, written as
a whole number?
Pls help me! I will give brainliest
Answer:
A hummingbird's heart beats from 225 times per minute when it's at rest and more than 1,200 times per minute when it is flying. Its wings beat about 70 times per second in regular flight and more than 200 times per second while diving.
Answer: A hummingbird's heart beats from 225 times per minute when it's at rest and more than 1,200 times per minute when it is flying. Its wings beat about 70 times per second in regular flight and more than 200 times per second while diving.
Step-by-step explanation:
Help me please
Find the slope
Answer:
this is a negative slope.
Step-by-step explanation:
1+2x6+7= -13
where do i have to put the parenthesis so its correct
Answer:
you have to but it back 2 times
Step-by-step explanation:
ir is because it should be back 2 rimes
I need help please it’s a test and I don’t understand
Answer:
to get x look at that triangle that it is in I know the angles in a triangle add up to 180° so it will be 180 - 63 degrees plus 36 degrees then to get z it will be 36 + 63 because interior angles add up to one exterior angle then to get y addz + 13 degrees then subtract it from 180°
30 - 19r + 15 - 9r =
25 points!
Answer:
45-28r
Step-by-step explanation:
30+15-19r-9r
45-19r-9r
45-28r
I hope this is right! Hope this helps!
Answer:
[tex]45-28r[/tex]
Step-by-step explanation:
Combine like terms
[tex]30-19r+15-9r = 30+15-19r-9r=45-28r[/tex]
Helpppppp I don’t understand
Hopefully you can read it this time
The mass of a freight train is 9.98 ⋅ 10^6 kilograms. The mass of an aircraft carrier is 7.3 ⋅ 10^7 kilograms. Approximately how many more kilograms is the mass of an aircraft carrier than the mass of a freight train? Show your work and write your answer in scientific notation. (10 points)
9514 1404 393
Answer:
6.302×10^7 kg
Step-by-step explanation:
Since we want to find the difference in mass, we need to have the same exponent on both numbers. For that purpose, it is convenient to change the representation of the train's mass to 0.998×10^7 kg.
The carrier has more mass by the amount of ...
7.3×10^7 -0.998×10^7 = (7.300 -0.998)×10^7 = 6.302×10^7 . . . kg
_____
Your (scientific or graphing) calculator or a spreadsheet can figure this for you and give you the scientific notation display.
When you add my age to my son's age, you get 52. When you subtract my son's age
from my age, you get 28. How old am I and how old is my son?
your son is 24 and you are 28
Step-by-step explanation:
you have to do 52-28
Is (2, 2) a solution to this system of equations? 3x + 7y = 20 7x + y = 16
Answer: Yes they both pass through the point
Jill jumped 6 1 3feet in the long-jump event. Jill’s best friend jumped 6 5 7feet. How much farther did Jill’s best friend jump? Describe in words the process you used to solve the problem
Answer:
Subtract 6.13ft from 6.57ft, and you should get .44 as your answer.
29747 ÷ 5828 × 492 equals what?
Answer:
2511.2429
Step-by-step explanation:
You should know this this like yr 7 stuff
29747÷ 5828=5.1041523
5.1041523 × 492= 2511.2429
what is the value of y
Answer:
100°
Step-by-step explanation:
180 - 80 = 100
The line is 180 so you take away what you already know (80) and then you have 100.
Answer:
180 degree (exterior angle ) please follow and like me
Problem
Justin's rice ball recipe uses 100100100 grams of rice to make 111 rice ball. Justin has 700700700 grams of rice.
How many rice balls can Justin make with 700700700 grams of rice?
rice balls
Answer:
777
join my zoom meeting no audio no camera just chat
Step-by-step explanation:
Pass code: G0qkw3
ID: 448251
Numeric Passcode: 756933
Answer:
777 rice balls
Step-by-step explanation:
find the value of each power 1. 3 to the power of negative 3 2. 4 to the power of 4
Answer:
1. 1/3
2. 256
Step-by-step explanation:
3/3/3 is .133333 (3's are repeated)
4*4*4*4 is 256
What is 8 x 1 + 9 x (1/10) + 6 x (1/100) + 2 x (1/1000)?
Answer:
8962
Step-by-step explanation:
8×1+9...etc..etc
= 8962
Answer:
8.962
Step-by-step explanation:
A baker used 8 bags of flour every 9 days. He used
of a bag cach day
L20 nens in 5 seconds What is the rate
Answer:
0.8 repeating or 8/9 bags a day
Step-by-step explanation:
30 students in a class took a math test 24 students pass the test what percent past
Answer:
80% passed
Step-by-step explanation:
1. 24 out of 30 passed
2. In order to make it a % you have to multiply
3. 100 * 24/30
4. = 2400/30
5. Therefore the answer is 80
Will Give Brainliest if Correct
Answer:
(a) 0
(b) -3/26
Step-by-step explanation:
(a)
We essentially plug 1 in for x and 2 in for y.
Our expression is [tex]\frac{2x-y}{y^2+1}[/tex], so making the correct substitutions yields:
[tex]\frac{2x-y}{y^2+1}=\frac{2*1-2}{2^2+1}=\frac{2-2}{4+1} =\frac{0}{5} =0[/tex]
So, the answer for part (a) is 0.
(b)
Again, we're now plugging in 1 for x and 5 for y:
[tex]\frac{2x-y}{y^2+1}=\frac{2*1-5}{5^2+1}=\frac{2-5}{25+1} =\frac{-3}{26} =-\frac{3}{26}[/tex]
So, the answer for part (b) is -3/26.
Step-by-step explanation:
So we have the rational expression [tex]\frac{2x -y}{y^{2} +1}\\[/tex]. All we have to do is to just plug the given values for what x and y are.
Solution of a:[tex]\frac{2x -y}{y^{2} +1}\\ \frac{2(1) -(2)}{(2)^{2} +1} \\ \frac{2 -(2)}{4+1} \\ \frac{0}{5} \\ 0[/tex]
Answer of a:[tex]0[/tex]
Solution of b:[tex]\frac{2x -y}{y^{2} +1}\\ \frac{2(1) -(5)}{(5)^{2} +1} \\ \frac{2 -(5)}{25+1} \\ \frac{-3}{26} \\ -\frac{3}{26}[/tex]
Answer of b:[tex]-\frac{3}{26}\\[/tex]
Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. Utilize the information provided to determine your answer. A correct numerical answer with no work shown will receive only 1 point.
Micah vacationed on a Caribbean island in the summer at a luxury hotel. He spent an entire day on a sightseeing excursion that explored the beautiful scenery of the city. Those who went on the trip boarded a bus which went 15mph through a 30 mile section of the city's countryside. There was a lunch stop at a local eatery before the group continued on a 3 hour tour of the city’s sights at a speed of 10mph. Lastly, the bus left the city and travelled 40 miles back to the hotel. Micah arrived back at the hotel exactly 2 hours after leaving the local eatery. What was the bus’s average rate for the entire trip?
Answer:
The bus's average rate for the entire trip is approximately 14.29 mph
Step-by-step explanation:
The given information are;
The speed of the bus through the 30 mile section = 15 mph
The time the bus moved at 10 mph = 3 hours
The distance the bus travelled back from the city = 40 miles
The time Micah arrived back at the hotel after leaving the local eatery = 2 hours
Assuming Micah correctly arrived back at the hotel after leaving the city = 2 hours
We have;
Total distance = 30 miles + 3 hour × 10 mph + 40 miles = 100 miles
Total time = 30 miles/(15 mph) + 3 hours + 2 hours = 7 hours
The average velocity = Total distance/(Total time) = 100 miles/(7 hours) ≈ 14.29 mph.
The bus's average rate for the entire trip ≈ 14.29 mph.
17. A team won 16 and lost 4 of its.games. What percent of all of its games did
the team win?
(a) 40%
(b) 80%
(c) 75%
(d) 40%
(e) none of these
Please show the work
Answer: 80%
Step-by-step explanation
4 out of 20 equals 20%
16 out of 20 equals 80%
20 pounds of pet food for
$14.99
Find the unit rate?
Answer:
$0.75 per pound
Step-by-step explanation:
To find the unit rate, divide the price by the amount you have.
14.99/20 = 0.7495
need these 3 problems answered
1.(2x-3)^2+24=0
2.(3x+1)^2-49=0
3.3x^2-12x=-45
Answer:
ummm ................
Jane's garden is 3.4 meters by 6.5 meters. If fencing costs $2.25 per meter, how much will it cost to put fence around her garden?
Help plz!!!!!!!!!!!!!!!!!
Answer:
5
Step-by-step explanation:
w-3=-2
first you need to figure out what w stands for
I just started plugging in numbers starting from 1 and when I got to 5 the number fit.
Please help me I got a bad grade and I need to redo them
Find the slope
Answer:
The first one has a slope of 4
The second one has a slope of 0.3 repeating
Step-by-step explanation:
You pick two points on the graph.
You find the x and y coordinates of each point.
You find the difference between the two x coordinates.
You find the difference between the two y coordinates.
Divide the difference in the y coordinates by the x coordinates.
If im wrong sorry owo im only in elementary school... <3
Answer:
4/6
Step-by-step explanation:
A parabola has a vertex of (-2,1) and passes through the point (0,-7). What is the value of amplitude
Answer:
The value of the amplitude is -2
Step-by-step explanation:
The given parameters are;
The vertex of the parabola = (-2, 1)
The point through which the parabola passes = (0, -7)
The equation of the parabola can be expressed as follows;
y - y₀ = a·(x - x₀)²
Where;
y₀ = The y-coordinate of the vertex = 1
x₀ = The x-coordinate of the vertex = -2
Therefore, we substitute the known values of the coordinates of a point the parabola to get;
-7 - 1 = a·(0 - (-2))²
-8 = 4·a
a = -8/4 = -2
The value of the amplitude a = -2.
Select the correct answer.
Jenny is tracking the monthly sales totals for her boutique. The given piecewise function represents the boutique's monthly sales, in dollars,
where x represents the number of months since Jenny began tracking the data.
(4,000(1.1)
0 < I<3
f(0) = 1001 + 5,024 , 3
- 2 + 5x + 5,630, 6
3
What were the boutique's monthly sales when Jenny first began tracking the data?
A.
$4,000
B.
$5,324
C.
$5,616
D.
$4,400
MacBOOK
Answer:
what is your question here can you be more specific?
Step-by-step explanation:
Answer:
Please mark me as Brainliest :)
Step-by-step explanation:
helppp pleaseee
Consider the functions below.
f(x) = x
g(x) = 3x
Which of the following statements describes the graph of function g?
The graph of g is 3 times steeper than the graph of f.
The graph of g is 3 units to right of the graph of f.
The graph of g is 3 units to left of the graph of f.
The graph of g is times as steep as the graph of f.
Answer:
The graph of g is 3 times steeper than the graph of f.
Step-by-step explanation:
I just did it and got it right
Answer:
The graph of g is 3 times steeper than the graph of f.
Step-by-step explanation: