Answer:
the interest rate on this investment k = 0.05 or 5%
Step-by-step explanation:
Given that;
dp/dt = kp
dp/p = k dt
now we integrate on both sides
integral dp/p = integral k dt
ln p = kt + c
p =e^kt + c
p = ce^kt
Given that p = $180,000 is invested (when t = 0)
p = ce^kt
we substitute
180000 = ce^k×0
180000 = ce^0
180000 = c × 1
c = 180,000
we substitute the value in the equation
p = 180000e^kt
now given that the amount in the account after 17 years is $421,136
i.e at t = 17 and p = 421,136
we substitute
421,136 = 180000e^17k
divide both sides by 180000
421136/180000 = 180000e^17k / 180000
e^17k = 2.3396
17k = In(2.3396)
17k = 0.8499
k = 0.04999 ≈ 0.05
therefore the interest rate on this investment k = 0.05 or 5%
Find the line's slope and a point on the line. y-2=1/3(x+4)
slope:
point on the line:
Using the diagram, find the measure of the angle indicated in bold.
A 95
B 110
C 120
D 130
idk what this answer would be help please!
Find the value of X algebraically. Show your work.
Answer: 21
Step-by-step explanation:
We know 9x - 56 is equal to 6x + 7
So:
9x - 56 = 6x + 7
Add 56 to each side
9x = 6x + 63
Subtract 6x from each side
3x = 63
Now divide each side by 3
x = 21
4x + 16 factor out gcf
Answer:
4(x+4)
Step-by-step explanation:
To factor out the gcf we need to find the greatest common factor. Then we multiply it be the other divided part.
what is 6x+2y=18 in intercept form?
Answer:
y = -3x + 9
Step-by-step explanation:
6x + 2y = 18
move 6x to the right of the equation by subtracting on both sides
2y = -6x + 18
then to single out the 'y' divide by 2 on both sides
y = -3x = 9
Hope this helps <3
plz i need help with this
Answer:
congruence, corresponding,sum of 180
What is the value of x? enter your answer in the box.
Answer:
X = 20
Step-by-step explanation:
3x + 50 = 6x -10
3x - 6x = -10 - 50
-3x = -60
x = -60/-3
x = 20
Answer:
x = 20
Step-by-step explanation:
Vertically opposite angles are congruent.
6x - 10 = 3x + 50
6x = 3x + 50 + 10
6x = 3x + 60
6x - 3x = 60
3x = 60
x = 60/3
x = 20
if k = am+3mx what is the value of m in terms of
x
Please help
Answer:
k = am + 3mx
Group by taking common factor m
k = m(a + 3x)
Divide both sides by (a +3x)
k / (a+3x) = m
Then, m = k / (a+3x). This is the answer
Step-by-step explanation:
fill in the blanks polynomials
Step-by-step explanation:
2 degrees
1 terms..
hope it helps you...
take care buddy....
What is the opposite of the opposite of -1.4?
Answer:
1.4
Step-by-step explanation:
when we add -1.4 and 1.4 we get zero so its the opposite
31x m=217 what does the m mean i cant seem to figure that out.
Answer:
7?
Step-by-step explanation:
31xm=217
m=217/31
m=7
Ms. Rogers asked 15 piano students how many hours of practice they put in each week. The list shows the data she recorded.
6,6,7,7,7,8,8,8,8,8,9,9,9,10,10
Which statement is true?
A.The data is skewed to the left.
B. The data is skewed to the right.
C. The data is symmetrical.
D. The skew of the data cannot be determined.
Answer:
D
Step-by-step explanation:
A student that goes to class can not put 10 hours of practice per day.
Answer:
The data is skewed to the left.
Step-by-step explanation:
Students in Mrs. Barnes’s class determined the probability that she will check homework on a randomly chosen day is 0.8. They also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9. What is the probability that the students will have their homework checked and take a pop quiz on a randomly chosen day?
0.48
0.54
0.72
0.80
Answer:
A) 0.48
Step-by-step explanation:
The probability that Mrs. Barnes does not check homework if the students take a pop quiz will be 0.77.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Mrs. Barnes’s class determined the probability that she will check homework on a randomly chosen day is 0.42.
They also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9.
Then the probability that Mrs. Barnes does not check homework if the students take a pop quiz will be =
P = 0.42 x 0.6 + 0.58 x 0.9
P = 0.252 + 0.522
P = 0.774 ≈ 0.77
More about the probability link is given below.
brainly.com/question/795909
#SPJ3
write a definition for a unite rate
Answer:
Step-by-step explanation:
I wish I knew
Calculate the mean, median, mode, and midrange of this quiz distribution and explain whether the distribution is skewed to the left or to the right.
a.
Mean = 9, median = 8.2, mode = 7, midrange = 9; skewed to the left.
b.
Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the left.
c.
Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the right.
d.
Mean = 9, median = 8.2, mode = 7, midrange = 9; skewed to the right.
Answer:
B
Step-by-step explanation:
JANITIA IS 15 YEARS OLD AND HER BROTHER IS 5 YEARS. WHAT IS THE RATIO OF JANTIA AGE TO HER BROTHER AGE
PLEASE ANSWER MY QUESTION
Answer:
3:1
Step-by-step explanation:
15:5 = 3:1
Answer:
3:1
Step-by-step explanation:
15:5
3:1
i think this is the answer
Please anerw the pic attached below!
Answer:
x = 27
Step-by-step explanation:
m<X + m<XWY + m<XYW = 180 (measures of <s of triangle add to 180)
m<X = 90
90 + m<XWY + m<XYW = 180
m<XWY + m<XYW = 90 Equation 1
m<XWY + m<VWY = 180 (linear pair) Eq. 2
m<XYW + m<ZYW = 180 (linear pair) Eq. 3
Add Eqs 2 & 3
m<XWY + m<VWY + m<XYW + m<ZYW = 360
m<XWY + m<VWY + m<XYW + m<ZYW = 360
According to Eq. 1, m<XWY + m<XYW = 90.
90 + m<XYW + m<ZYW = 360
Also, m<VWY = 6x & m<ZYW = 4x
90 + 6x + 4x = 360
10x = 270
x = 27
Malloy had some money to give to his five
children. He first took $5 for himself and then
evenly divided the rest among his children.
Each child received S3 How much money did
he start with?
Answer:
$20
Step-by-step explanation:
he gave 5*3=15 dollars to his children
he took 5
add together to get 20
Answer:
$20
Step-by-step explanation:
$3 x 5 = $15
$15 + $5 = $20
Please help me on this question
Answer:
B
Step-by-step explanation:
2) For 9 cows, 13 kg 500 g of food supplement are required every day.
In the same proportion, how much will be needed for 12 cows?
Answer:
18 kg
Step-by-step explanation:
We can use a proportion.
First, 13 kg 500 g = 13 kg + 500 g = 13 kg + 0.5 kg = 13.5 kg
Proportion:
9 cows is to 13.5 kg as 12 cows is to x
9/13.5 = 12/x
Cross multiply.
9x = 13.5 * 12
Divide both sides by 3.
3x = 4.5 * 12
Divide both sides by 3.
x = 1.5 * 12
x = 18
Answer: 18 kg
2/3 + 3/4
but i need to find a common denominator
Answer:
46
Step-by-step explanation:
the common one is 2
Answer:
2/3 plus 3/4 is 17/12.
Step-by-step explanation:
this is because the common denominator is 12, and once you add it all you get 17/12 :))
IF CORRECT I WILL GIVE BRAINLIEST!!
Answer is not 9. IDK THE ANSWER. The last few problems everybody is saying it is 9.
Please help me do this problem!
Screenshot below!
Answer:
2
Step-by-step explanation: I'm not very smart, nor do I understand this, so it's probably wrong but I'm just trying to help
Assume the birth of a boy or a girl is equally likely. The probability that a single child is born a girl is One-half. What is the probability that the next child born to the same familiy will also be a girl?
a.
One-half
b.
One-fourth
c.
StartFraction 1 Over 8 EndFraction
d.
StartFraction 1 Over 12 EndFraction
Answer:
B
Step-by-step explanation:
EDG2021
Josh buys cucumbers that cost $0.62 per pound. He pays $2.79 for the cucumbers. How many pounds of cucumbers does Josh have?
Answer:
Josh bought 4.5 pounds of cucumbers.
Step-by-step explanation:
2.79 divided by the cost per pound, .62, is 4.5. Therefore he bought 4.5 pounds of cucumbers
For f(x) = -5x + 10, what is the value of x for which f(x) = 35?
Answer:
x= -5
Step-by-step explanation:
f(x) = -5x +10
plug in 35 for f(x)
35= -5x +10
ten move 10 to the other side
25= -5x
then divide by -5
-5 = x
Work out the percentage change to 2 decimal places when a price of £12 is increased to £15.99.
Answer:
2/15.99 = 0.34 euros is the right answer.
helpppppp now plssss
Answer:
translation of four units up
Step-by-step explanation:
Answer:
A. translation of 4 units up
Step-by-step explanation:
Take one point from each line, for example:
f(x): (0, 1)g(x): (0, 5)The y-values of these points are 5 points apart, therefore, f(x) was translated 4 units up to get g(x).
Given the side lengths 9.5 cm, 7.5 cm, and 10 cm, can they form a triangle and if so, what type of triangle?
Answer:
this number 6
Step-by-step explanation:
yes self 4
Answer:
yes
Step-by-step explanation:
because if you add correctly you will get the answer
Find the area of the curve y= f(x) = x between x = 5 and x = 10
Answer:
the area of the curve y= f(x) = x between x = 5 and x = 10
[tex]A=\frac{75}{2}[/tex]
Step-by-step explanation:
Finding the area of the curve y = f(x) = x between x = 5 and x = 10Using the Area formula
[tex]A=\int _a^b\:f\left(x\right)dx[/tex]
As the area of curve lies between x = 5 and x = 10
so
a = 5, b = 10so the integral expression becomes
[tex]A=\int _5^{10}xdx[/tex]
[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]
[tex]A=\left[\frac{x^{1+1}}{1+1}\right]^{10}_5[/tex]
[tex]=\left[\frac{x^2}{2}\right]^{10}_5[/tex]
[tex]=\frac{1}{2}\left[10^2-5^2\right][/tex]
[tex]=\frac{1}{2}\cdot \:75[/tex]
[tex]=\frac{75}{2}[/tex]
Therefore, area of the curve y= f(x) = x between x = 5 and x = 10
[tex]A=\frac{75}{2}[/tex]